{"pkgId":"42","subjectId":"613","fullwidthLayout":false,"contentData":{"PACKAGE_NAME":"Philippines Curriculum Full Access","PACKAGE_SLUG":"philippines-full","PACKAGE_IMG":"file_1961993712_1592481272.png","ADMCOURSE_ID":"173","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","STANDARD_NAME":"Philippines","ADMSUBJECT_ID":"613","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","CAT_NAME":"Quadrilaterals","CONT_ID":"767","CONT_TITLE":"Quadrilaterals","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EA quadrilateral is a four-sided closed figure. It is called a parallelogram, if both pairs of opposite sides are parallel. A quadrilateral with at least one pair of parallel sides is known as a trapezium or trapezoid. 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A kite is a quadrilateral whose four sides can be grouped into two pairs of equal length sides that are adjacent to each other.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Define the types of quadrilaterals by their sides and angles.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Classify quadrilaterals by their sides and angles.\u003C\/div\u003E","CONT_DESC_AR":"","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":null,"MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.vm000002","TOPIC_ID":"vm000002","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_vm000002.jpg","PUBLIC_BANNER_IMG":"vm000002.jpg","PUBLIC_VIDEO":"en_us_pvideo_vm000002.mp4","PUBLIC_VIDEO_URL":null,"DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"2143","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;p\u0026gt;Overview:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;A quadrilateral is a four-sided closed figure. It is called a parallelogram, if both pairs of opposite sides are parallel. A quadrilateral with at least one pair of parallel sides is known as a trapezium or trapezoid. A kite is a quadrilateral whose four sides can be grouped into two pairs of equal length sides that are adjacent to each other.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;Learning Objectives::\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;After completing this module, you will be able to:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Define the types of quadrilaterals by their sides and angles.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Classify quadrilaterals by their sides and angles.\u0026lt;\/p\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Quadrilaterals","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. 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The sum of of its four interior angles is 360 degrees. The diagonals of a parallelogram bisect each other. The sum of adjacent angles of a parallelogram is 180 degrees and opposite angles are equal.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Demonstrate how a diagonal of a parallelogram divides it into two congruent triangles.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explain the properties of a parallelogram.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Identify necessary conditions for a quadrilateral to be a parallelogram.\u003C\/div\u003E","CONT_DESC_AR":"","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":null,"MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.vm000005","TOPIC_ID":"vm000005","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_file_1826225161_1581315132.jpg","PUBLIC_BANNER_IMG":"file_1826225161_1581315132.jpg","PUBLIC_VIDEO":"en_us_pvideo_vm000005.mp4","PUBLIC_VIDEO_URL":null,"DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"2143","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;div\u0026gt;Overview:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;A parallelogram is defined as a special quadrilateral with its opposite sides parallel and equal. The sum of of its four interior angles is 360 degrees. The diagonals of a parallelogram bisect each other. 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These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"745","CATEGORY_ID":"1","CONT_TITLE":"Areas of Parallelograms and Triangles","CONT_SLUG":"area-of-parallelograms-and-triangles","CONT_TITLE_AR":"","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EThe area of a triangle is half of the area of parallelogram if both triangles and paralleograms lie between the same parallel lines and have the same base. Alternatively, the area of a parallelogram is twice the area of triangle that lies between its pair of parallel sides and has one of its side as the base.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Identify figures that have a common base and are between the same parallel lines.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explain that the area of a triangle is equal to half the area of a parallelogram if both have the same base and lie between the same parallel lines.\u003C\/div\u003E","CONT_DESC_AR":"","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":null,"MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.vm000004","TOPIC_ID":"vm000004","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_vm000004.jpg","PUBLIC_BANNER_IMG":"vm000004.jpg","PUBLIC_VIDEO":"en_us_pvideo_vm000004.mp4","PUBLIC_VIDEO_URL":null,"DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"2143","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;p\u0026gt;Overview:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;The area of a triangle is half of the area of parallelogram if both triangles and paralleograms lie between the same parallel lines and have the same base. Alternatively, the area of a parallelogram is twice the area of triangle that lies between its pair of parallel sides and has one of its side as the base.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;Learning Objectives::\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;After completing this module, you will be able to:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Identify figures that have a common base and are between the same parallel lines.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Explain that the area of a triangle is equal to half the area of a parallelogram if both have the same base and lie between the same parallel lines.\u0026lt;\/p\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Area of Parallelograms and Triangles","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"744","CATEGORY_ID":"1","CONT_TITLE":"Parallelograms","CONT_SLUG":"parallelograms","CONT_TITLE_AR":"","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EA parallelogram can be defined as a special quadrilateral having opposite sides equal and parallel. A diagonal of a parallelogram divides it into two congruent triangles. The sum of all the interior angles of a parallelogram is 360 degrees.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explain the formation of a parallelogram using congruent triangles.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Formulate the area of a parallelogram.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explain the angle sum property.\u003C\/div\u003E","CONT_DESC_AR":"","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":null,"MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.vm000003","TOPIC_ID":"vm000003","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_vm000003.jpg","PUBLIC_BANNER_IMG":"vm000003.jpg","PUBLIC_VIDEO":"en_us_pvideo_vm000003.mp4","PUBLIC_VIDEO_URL":null,"DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"2143","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;p\u0026gt;Overview:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;A parallelogram can be defined as a special quadrilateral having opposite sides equal and parallel. A diagonal of a parallelogram divides it into two congruent triangles. The sum of all the interior angles of a parallelogram is 360 degrees.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;Learning Objectives::\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;After completing this module, you will be able to:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Explain the formation of a parallelogram using congruent triangles.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Formulate the area of a parallelogram.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Explain the angle sum property.\u0026lt;\/p\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Parallelograms","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"573","CATEGORY_ID":"1","CONT_TITLE":"Volumes of Similar Solids","CONT_SLUG":"volume-of-similar-solids-1","CONT_TITLE_AR":"","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003ETwo solids are similar if they are the same type of solid and their corresponding radii, heights, base lengths, widths, etc. are proportional. If two solids are similar with a scale factor of (a\/b), then their volumes are in the ratio of (a\/b)\u00b3.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Derive the volume scale factor to calculate the unknown volume of similar solids.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Implement the concept of the volume scale factor to calculate the unknown volume of similar solids in real life situations.\u003C\/div\u003E","CONT_DESC_AR":"","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":null,"MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ms300140","TOPIC_ID":"ms300140","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_file_844782869_1526979019.jpg","PUBLIC_BANNER_IMG":"ms300140.jpg","PUBLIC_VIDEO":"pvideo_ms300140.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/SwHkWBnmc7k","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"0","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;h3\u0026gt;Overview:\u0026lt;\/h3\u0026gt;\u0026lt;br\u0026gt;Two solids are similar if they are the same type of solid and their corresponding radii, heights, base lengths, widths, etc. are proportional. If two solids are similar with a scale factor of (a\/b), then their volumes are in the ratio of (a\/b)\u00b3.\u0026lt;br\u0026gt;\u0026lt;h3\u0026gt;\r\nLearning objectives\u0026lt;\/h3\u0026gt;\u0026lt;br\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Derive the volume scale factor to calculate the unknown volume of similar solids.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Implement the concept of the volume scale factor to calculate the unknown volume of similar solids in real life situations.\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Volume of similar solids","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"550","CATEGORY_ID":"1","CONT_TITLE":"Use of the Pythagorean Theorem","CONT_SLUG":"use-of-pythagoras-theorem","CONT_TITLE_AR":"","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EThe Pythagorean theorem deals with the lengths of the sides of a right triangle. The theorem states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of its hypotenuse .\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explain the Pythagorean theorem.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Calculate the unknown dimensions of any right triangle.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Apply the Pythagorean theorem in real life situations.\u003C\/div\u003E","CONT_DESC_AR":"","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":null,"MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.hs300186","TOPIC_ID":"hs300186","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_HS300186.jpg","PUBLIC_BANNER_IMG":"HS300186.jpg","PUBLIC_VIDEO":"pvideo_hs300186.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/ftnG5We0TUc","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"0","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"Overview:\u0026lt;br\u0026gt;\u0026lt;br\u0026gt;The Pythagorean theorem deals with the lengths of the sides of a right triangle. The theorem states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of its hypotenuse .\u0026lt;br\u0026gt;\u0026lt;br\u0026gt;Learning objectives\u0026lt;br\u0026gt;\u0026lt;br\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Explain the Pythagorean theorem.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Calculate the unknown dimensions of any right triangle.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Apply the Pythagorean theorem in real life situations.\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Use of Pythagoras theorem","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"549","CATEGORY_ID":"1","CONT_TITLE":"Surface Area of Similar Solids","CONT_SLUG":"surface-area-of-similar-solids","CONT_TITLE_AR":"","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003ETwo solids are similar if they are the same type of solid and their corresponding radii, heights, base lengths, widths, etc. are proportional. When two shapes are similar, the ratio of their areas is the square of the scale factor.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Derive the scale factor of the surface area for calculating the unknown surface areas of similar solids.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Apply the scale factor in calculating the unknown surface areas of similar solids.\u003C\/div\u003E","CONT_DESC_AR":"","BACKING_FILE":"ms300180.apk","FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":null,"MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ms300180","TOPIC_ID":"ms300180","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_MS300180.jpg","PUBLIC_BANNER_IMG":"MS300180.jpg","PUBLIC_VIDEO":"pvideo_ms300180.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/9_FLcWDJPwA","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"0","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;p\u0026gt;\u0026lt;span style=\u0026quot;color: rgb(0, 0, 0); font-family: Arial; white-space: pre-wrap;\u0026quot;\u0026gt;Overview:\u0026lt;\/span\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;Two solids are similar if they are the same type of solid and their corresponding radii, heights, base lengths, widths, etc. are proportional. When two shapes are similar, the ratio of their areas is the square of the scale factor.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;Learning Objectives:\u0026lt;\/p\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Derive the scale factor of the surface area for calculating the unknown surface areas of similar solids.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Apply the scale factor in calculating the unknown surface areas of similar solids.\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Surface area of similar solids","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"547","CATEGORY_ID":"1","CONT_TITLE":"Area and Perimeter of Similar Figures","CONT_SLUG":"area-and-perimeter-of-similar-figures","CONT_TITLE_AR":"","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003ETwo figures are said to be similar when their corresponding angles are equal and their corresponding sides are in the same proportion. The ratio of the perimeters, is same as the scale factor and the ratio of area, is equal to the ratio of square of scale factor.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Define scale factor.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Calculate the areas of similar figures.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Calculate the perimeters of similar figures.\u003C\/div\u003E","CONT_DESC_AR":"","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":null,"MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ms300161","TOPIC_ID":"ms300161","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_MS300161.jpg","PUBLIC_BANNER_IMG":"ms300161.jpg","PUBLIC_VIDEO":"pvideo_ms300161.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/9juFL-pUHrE","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"0","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"Overview:\u0026lt;br\u0026gt;\u0026lt;br\u0026gt;Two figures are said to be similar when their corresponding angles are equal and their corresponding sides are in the same proportion. The ratio of the perimeters, is same as the scale factor and the ratio of area, is equal to the ratio of square of scale factor.\u0026lt;br\u0026gt;\u0026lt;br\u0026gt;Learning objectives\u0026lt;br\u0026gt;\u0026lt;br\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Define scale factor.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Calculate the areas of similar figures.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Calculate the perimeters of similar figures.\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Area and Perimeter of Similar Figures","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"532","CATEGORY_ID":"1","CONT_TITLE":"Properties of Quadrilaterals","CONT_SLUG":"properties-of-quadrilaterals","CONT_TITLE_AR":"","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EA quadrilateral is a four sided two dimensional closed figure, made up of straight sides. The sum of all the interior angles is equal to 360 degrees. Different types of quadrilaterals have different properties. For example in parallelogram, opposite sides and angles are equal and the sum of adjacent angles is 180 degree.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explain the properties of different quadrilaterals.\u003C\/div\u003E","CONT_DESC_AR":"","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":null,"MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ms300122","TOPIC_ID":"ms300122","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_MS300122.jpg","PUBLIC_BANNER_IMG":"MS300122.jpg","PUBLIC_VIDEO":"pvideo_ms300122.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/9vST38Cr7Bw","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"0","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;div\u0026gt;Overview:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;A quadrilateral is a four sided two dimensional closed figure, made up of straight sides. The sum of all the interior angles is equal to 360 degrees. Different types of quadrilaterals have different properties. For example in parallelogram, opposite sides and angles are equal and the sum of adjacent angles is 180 degree.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Learning Objectives:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Explain the properties of different quadrilaterals.\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Properties of quadrilateral","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"401","CATEGORY_ID":"1","CONT_TITLE":"Indirect Variation","CONT_SLUG":"indirect-variation","CONT_TITLE_AR":"Indirect Variation","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EIndirect variation is a relationship between two variables in which the product remains constant. When one variable increases the other decreases in proportion, so that the product does not change. If we say, b is inversely proportional to a, the equation is of the form b = k\/a (where k is a constant).\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to: \u003C\/div\u003E \r\n\u003Cdiv\u003E- Explain the concept of variation.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Recognize indirect variation.\u003C\/div\u003E","CONT_DESC_AR":"Indirect variation is a relationship between two variables in which the product is a constant. When one variable increases the other decreases in proportion so that the product is unchanged. If b is inversely proportional to a, the equation is of the form b = k\/a (where k is a constant)\u0026lt;br \/\u0026gt;\n\u0026lt;br \/\u0026gt;\n\u0026lt;strong\u0026gt;Learning Objectives\u0026lt;\/strong\u0026gt;\u0026lt;br \/\u0026gt;\nIn this simulation, you will be able to :\u0026lt;br \/\u0026gt;\n- explain the concept of variation\u0026lt;br \/\u0026gt;\n- recognize indirect variation","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ms300119","TOPIC_ID":"ms300119","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_MS300119.jpg","PUBLIC_BANNER_IMG":"MS300119.jpg","PUBLIC_VIDEO":"pvideo_ms300119.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/EzfNho0ncaw","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"1","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;h3\u0026gt;Overview:\u0026lt;\/h3\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Indirect variation is a relationship between two variables in which the product remains constant. When one variable increases the other decreases in proportion, so that the product does not change. If we say, b is inversely proportional to a, the equation is of the form b = k\/a (where k is a constant).\u0026lt;\/div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;h3\u0026gt;Learning Objectives:\u0026lt;br\u0026gt;\u0026lt;\/h3\u0026gt;\u0026lt;br\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026amp;nbsp;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Explain the concept of variation.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Recognize indirect variation.\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Indirect Variation","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"380","CATEGORY_ID":"1","CONT_TITLE":"Trignometric Ratios","CONT_SLUG":"trignometric-ratios","CONT_TITLE_AR":"Trignometric Ratios","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EThe sides and angles of a triangle are related to each other. The relationships that define the connection between the angles and the sides of a right triangle are expressed in terms of six trigonometric ratios: Sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot).\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Identify the relationship between sides and angles of a triangle.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explore different types of trigonometric ratios.\u003C\/div\u003E","CONT_DESC_AR":"For any right triangle, there are six trig ratios: Sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot).\u0026lt;br \/\u0026gt;\nGiven a triangle, you should be able to identify all 6 ratios for all angles (except the right angle).\u0026lt;br \/\u0026gt;\n\u0026amp;nbsp;\u0026lt;br \/\u0026gt;\n\u0026lt;strong\u0026gt;Learning Objective\u0026lt;\/strong\u0026gt;\u0026lt;br \/\u0026gt;\n\u0026lt;br \/\u0026gt;\nIn this topic, you will be able to explore:\u0026lt;br \/\u0026gt;\n\u0026amp;bull; different types of trigonometric ratios","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.hs300064","TOPIC_ID":"hs300064","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_HS300064.jpg","PUBLIC_BANNER_IMG":"hs300064.jpg","PUBLIC_VIDEO":"pvideo_hs300064.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/zde7q65f7F4","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"1","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;div\u0026gt;Overview:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;The sides and angles of a triangle are related to each other. The relationships that define the connection between the angles and the sides of a right triangle are expressed in terms of six trigonometric ratios: Sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot).\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Learning Objectives:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Identify the relationship between sides and angles of a triangle.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Explore different types of trigonometric ratios.\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Trigonometric ratios","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"278","CATEGORY_ID":"1","CONT_TITLE":"Introduction to Complex Numbers","CONT_SLUG":"introduction-to-complex-numbers","CONT_TITLE_AR":"Introduction to Complex Numbers","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EA complex number is defined as the combination of real and an imaginary number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying the equation i^2 = \u22121. In this expression, a is the real part and b is the imaginary part of the complex number.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Define complex numbers.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Find the conjugate and the multiplicative inverse of a complex number.\u003C\/div\u003E","CONT_DESC_AR":"A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying the equation i^2 = \u0026amp;minus;1.\u0026lt;br \/\u0026gt;\nIn this expression, a is the real part and b is the imaginary part of the complex number.\u0026lt;br \/\u0026gt;\n\u0026amp;nbsp;\u0026lt;br \/\u0026gt;\n\u0026lt;strong\u0026gt;Learning Objectives\u0026lt;\/strong\u0026gt;\u0026lt;br \/\u0026gt;\n\u0026lt;br \/\u0026gt;\nAt the end of this simulation, you will able to:\u0026lt;br \/\u0026gt;\n\u0026amp;bull; explain the concept of complex numbers\u0026lt;br \/\u0026gt;\n\u0026amp;bull; find the conjugate and multiplicative inverse of a complex number","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.hs300012","TOPIC_ID":"hs300012","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_HS300012.jpg","PUBLIC_BANNER_IMG":"HS300012.jpg","PUBLIC_VIDEO":"pvideo_hs300012.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/t2ti-mqDNXU","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"1","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;div\u0026gt;Overview:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;A complex number is defined as the combination of real and an imaginary number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying the equation i^2 = \u22121. In this expression, a is the real part and b is the imaginary part of the complex number.\u0026amp;nbsp;\u0026amp;nbsp;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Learning Objectives:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Define complex numbers.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Find the conjugate and the multiplicative inverse of a complex number.\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Introduction to Complex Numbers","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"266","CATEGORY_ID":"1","CONT_TITLE":"Application of Trigonometry","CONT_SLUG":"application-of-trigonometry","CONT_TITLE_AR":"Application of Trigonometry","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EThe sides and angles of a triangle are related to each other. The relationships that define the connection between the angles and the sides of a right triangle are expressed in terms of six trigonometric ratios :Sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). By using these trigonometric ratios , we can find the unknown values like height of a building or distance of any object from any building or tower etc if angle of elevation (angle that eye of observer makes with the top of a building) or angle of depression (the angle that is formed between the eye of the observer who is standing on any top of the building with the object that is placed on the ground) are known.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explain the applications of trigonometry in various fields of life.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Identify the angle of elevation and the angle of depression.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Determine \u0026#039;height\u0026#039; and \u0026#039;distance\u0026#039; without actually measuring them.\u003C\/div\u003E","CONT_DESC_AR":"Use of trigonometry, angle of elevation and depression. Find height and distance without actually measuring.\u003C\/br\u003E\u003C\/br\u003E\r\n\u003C\/strong\u003ELearning Objectives\u003C\/strong\u003E\u003C\/br\u003E\u003C\/br\u003E\r\nIn this topic you will be able to:\u003C\/br\u003E\r\n- use trigonometry in various fields\u003C\/br\u003E\r\n- identify the angle of elevation and depression\u003C\/br\u003E\r\n- determine height and distance without actually measuring them","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.hs300018","TOPIC_ID":"hs300018","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_HS300018.jpg","PUBLIC_BANNER_IMG":"HS300018.jpg","PUBLIC_VIDEO":"pvideo_hs300018.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/4Ht_pEMktBQ","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"1","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;div\u0026gt;Overview:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;The sides and angles of a triangle are related to each other. The relationships that define the connection between the angles and the sides of a right triangle are expressed in terms of six trigonometric ratios :Sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). By using these trigonometric ratios , we can find the unknown values like height of a building or distance of any object from any building or tower etc if angle of elevation (angle that eye of observer makes with the top of a building) or angle of depression (the angle that is formed between the eye of the observer who is standing on any top of the building with the object that is placed on the ground) are known.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Learning Objectives:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Explain the applications of trigonometry in various fields of life.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Identify the angle of elevation and the angle of depression.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Determine \u0026#039;height\u0026#039; and \u0026#039;distance\u0026#039; without actually measuring them.\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Application of Trigonometry","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"241","CATEGORY_ID":"1","CONT_TITLE":"Quadratic Equations","CONT_SLUG":"quadratic-equations","CONT_TITLE_AR":"Quadratic Equations","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E  \r\n\u003Cdiv\u003EA quadratic equation is a second-order polynomial equation in a single variable x\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003E ax\u00b2+bx+c=0, where a is not equal to zero.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Identify the standard form of a quadratic equation.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Check whether the given equation is a quadratic equation.\u003C\/div\u003E","CONT_DESC_AR":"A quadratic equation is a second-order polynomial equation in a single variable x\u0026amp;nbsp;ax\u0026lt;sup\u0026gt;2\u0026lt;\/sup\u0026gt;+bx+c=0, where a is not equal to zero.\u0026lt;br \/\u0026gt;\nBecause it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has two solutions. These solutions may be both real, or both complex.\u0026lt;br \/\u0026gt;\n\u0026lt;br \/\u0026gt;\n\u0026lt;strong\u0026gt;Learning Objectives\u0026lt;\/strong\u0026gt;\u0026lt;br \/\u0026gt;\n\u0026lt;br \/\u0026gt;\nIn this simulation, you will be able to:\u0026lt;br \/\u0026gt;\n\u0026amp;bull; identify the standard form of a quadratic equation\u0026lt;br \/\u0026gt;\n\u0026amp;bull; check whether the given equation is a quadratic equation","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.hs300052","TOPIC_ID":"hs300052","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_HS300052.jpg","PUBLIC_BANNER_IMG":"hs300052.jpg","PUBLIC_VIDEO":"pvideo_hs300052.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/qduDz-yP9Kk","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"1","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;p\u0026gt;Overview:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;A quadratic equation is a second-order polynomial equation in a single variable x\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt; ax\u00b2+bx+c=0, where a is not equal to zero.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;Learning Objectives:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;After completing this module, you will be able to:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Identify the standard form of a quadratic equation.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Check whether the given equation is a quadratic equation.\u0026lt;\/p\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Quadratic Equations","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"223","CATEGORY_ID":"1","CONT_TITLE":"Similarity of Triangles","CONT_SLUG":"similarity-of-triangles","CONT_TITLE_AR":"Similarity of Triangles","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003ETwo triangles are said to be similar if and only if the corresponding sides are in proportion and the corresponding angles are congruent. To prove that two triangles are similar, it is sufficient to show that two angles of one triangle are congruent (equal) to the two angles of the other triangle.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explore similar triangles.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Identify similar triangles.\u003C\/div\u003E","CONT_DESC_AR":"Two triangles are similar if and only if the corresponding sides are in proportion and the corresponding angles are congruent. To show two triangles are similar, it is sufficient to show that two angles of one triangle are congruent (equal) to two angles of the other triangle.\u0026lt;br \/\u0026gt;\n\u0026amp;nbsp;\u0026lt;br \/\u0026gt;\n\u0026lt;strong\u0026gt;Learning Objectives\u0026lt;\/strong\u0026gt;\u0026lt;br \/\u0026gt;\n\u0026lt;br \/\u0026gt;\nIn this topic you will be able to:\u0026lt;br \/\u0026gt;\n\u0026amp;bull; explore similar triangles\u0026lt;br \/\u0026gt;\n\u0026amp;bull; identify similar triangles","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ms300046","TOPIC_ID":"ms300046","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_MS300046.jpg","PUBLIC_BANNER_IMG":"MS300046.jpg","PUBLIC_VIDEO":"pvideo_ms300046.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/CpSXEC0sJxU","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"1","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;div\u0026gt;Overview:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Two triangles are said to be similar if and only if the corresponding sides are in proportion and the corresponding angles are congruent. To prove that two triangles are similar, it is sufficient to show that two angles of one triangle are congruent (equal) to the two angles of the other triangle.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Learning Objectives:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Explore similar triangles.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Identify similar triangles.\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Similarity of Triangles","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"218","CATEGORY_ID":"1","CONT_TITLE":"Direct Variation","CONT_SLUG":"direct-variation","CONT_TITLE_AR":"Direct Variation","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EDirect variation is the relationship between two variables in which one is a constant multiple of the other. In other words, we can say when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to :\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explain the concept of direct variation.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Identify direct variation.\u003C\/div\u003E","CONT_DESC_AR":"A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant)\u0026lt;br \/\u0026gt;\n\u0026amp;nbsp;\u0026lt;br \/\u0026gt;\n\u0026lt;strong\u0026gt;Learning Objectives\u0026lt;\/strong\u0026gt;\u0026lt;br \/\u0026gt;\n\u0026amp;nbsp;\u0026lt;br \/\u0026gt;\nAt the end of this simulation, you will:\u0026lt;br \/\u0026gt;\n\u0026amp;bull; know the concept of direct variation\u0026lt;br \/\u0026gt;\n\u0026amp;bull; identify direct variation","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ms300077","TOPIC_ID":"ms300077","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_MS300077.jpg","PUBLIC_BANNER_IMG":"ms300077.jpg","PUBLIC_VIDEO":"pvideo_ms300077.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/ccOglkJsAqI","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"1","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;div\u0026gt;Overview:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Direct variation is the relationship between two variables in which one is a constant multiple of the other. In other words, we can say when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Learning Objectives:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to :\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Explain the concept of direct variation.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Identify direct variation.\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Direct variation","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"215","CATEGORY_ID":"1","CONT_TITLE":"Exponents and Powers","CONT_SLUG":"exponents-and-powers","CONT_TITLE_AR":"Exponents and Powers","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EA power is represented with a base number and an exponent. An exponent is defined as the number of times a base number is multiplied by itself.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Define the concepts of exponents and powers.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Apply the rules for simplifying exponents and powers.\u003C\/div\u003E","CONT_DESC_AR":"An expression that represents repeated multiplication of the same factor is called a power, as in 52.\u0026lt;br \/\u0026gt;\nThe number 5 is called the base, and the number 2 is called the exponent.\u0026lt;br \/\u0026gt;\nThe exponent corresponds to the number of times the base is used as a factor.\u0026lt;br \/\u0026gt;\n\u0026amp;nbsp;\u0026lt;br \/\u0026gt;\n\u0026lt;strong\u0026gt;Learning Objectives\u0026lt;\/strong\u0026gt;\u0026lt;br \/\u0026gt;\n\u0026lt;br \/\u0026gt;\nAt the end of this simulation, you will be able to:\u0026lt;br \/\u0026gt;\n\u0026amp;bull; define concepts of exponents and powers\u0026lt;br \/\u0026gt;\n\u0026amp;bull; applying rules for simplifying exponents and powers","BACKING_FILE":"ms300065.apk","FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ms300065","TOPIC_ID":"ms300065","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_MS300065.jpg","PUBLIC_BANNER_IMG":"MS300065.jpg","PUBLIC_VIDEO":"pvideo_ms300065.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/WO1WJ181gSE","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"1","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;p\u0026gt;Overview:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;A power is represented with a base number and an exponent. An exponent is defined as the number of times a base number is multiplied by itself.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;Learning Objectives:\u0026lt;\/p\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Define the concepts of exponents and powers.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Apply the rules for simplifying exponents and powers.\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Exponents and Powers","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"182","CATEGORY_ID":"1","CONT_TITLE":"Pythagorean Theorem","CONT_SLUG":"pythagorean-theorem","CONT_TITLE_AR":"Pythagorean Theorem","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EPythagorean theorem states that the square of the hypotenuse (the side opposite to the right angle) is equal to the sum of the squares of the other two sides in a right triangle. By using this theorem, we can find the length of unknown side if any two side lengths are given.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explain the Pythagorean theorem.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Use the Pythagorean theorem to find the side lengths of a right triangle.\u003C\/div\u003E","CONT_DESC_AR":"Pythagoras theorem is a fundamental relationship in Euclidean geometry among the three sides of a right triangle.\u0026lt;br \/\u0026gt;\nIt states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.\u0026lt;br \/\u0026gt;\n\u0026amp;nbsp;\u0026lt;br \/\u0026gt;\n\u0026lt;strong\u0026gt;Learning Objectives\u0026lt;\/strong\u0026gt;\u0026lt;br \/\u0026gt;\n\u0026lt;br \/\u0026gt;\nAt the end of the simulation you will be able to:\u0026lt;br \/\u0026gt;\n\u0026amp;bull; define the Pythagorean theorem\u0026lt;br \/\u0026gt;\n\u0026amp;bull; use the Pythagorean theorem to find the lengths of the sides of right triangles\u0026lt;br \/\u0026gt;\n\u0026amp;bull; use the Pythagorean theorem to find the areas of right triangles\u0026lt;br \/\u0026gt;\n\u0026amp;bull; apply the Pythagorean theorem to find the perimeter and area of triangles on a grid","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ms300029","TOPIC_ID":"ms300029","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_MS300029.jpg","PUBLIC_BANNER_IMG":"ms300029.jpg","PUBLIC_VIDEO":"pvideo_ms300029.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/73FuqeMHDv4","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"1","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;div\u0026gt;Overview:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Pythagorean theorem states that the square of the hypotenuse (the side opposite to the right angle) is equal to the sum of the squares of the other two sides in a right triangle. By using this theorem, we can find the length of unknown side if any two side lengths are given.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;Learning Objectives:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;After completing this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Explain the Pythagorean theorem.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Use the Pythagorean theorem to find the side lengths of a right triangle.\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Pythagorean Theorem","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"177","CATEGORY_ID":"1","CONT_TITLE":"Types of Quadrilaterals","CONT_SLUG":"types-of-quadrilaterals","CONT_TITLE_AR":"Types of Quadrilateral","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EA quadrilateral is a four sides closed figure. A quadrilateral is called a parallelogram, if both pairs of its opposite sides are parallel. A parallelogram is called a rectangle if all of its angles are right angles. A rhombus is a simple quadrilateral whose four sides are of same length. A square is a quadrilateral, such that it has four equal sides and four equal angles of 90 degrees. A quadrilateral with at least one pair of parallel sides is known as a trapezium. A kite is a quadrilateral whose four sides can be grouped into two pairs of equal length sides that are adjacent to each other.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Identify a quadrilateral.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Differentiate between different types of quadrilaterals.\u003C\/div\u003E","CONT_DESC_AR":"Different types of quadrilaterals are introduced with a definition and its properties, along with the diagram.\u0026lt;br \/\u0026gt;\nA quadrilateral is called a parallelogram, if both pairs of its opposite sides are parallel.\u0026lt;br \/\u0026gt;\nA parallelogram is called a rectangle if all of its angles are right angles.\u0026lt;br \/\u0026gt;\nA rhombus is a simple quadrilateral whose four sides are of same length.\u0026lt;br \/\u0026gt;\nA square is a quadrilateral, such that it has four equal sides and four equal angles are of 90-degrees.\u0026lt;br \/\u0026gt;\nA quadrilateral with at least one pair of parallel sides is known as a trapezium.\u0026lt;br \/\u0026gt;\nA kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.\u0026lt;br \/\u0026gt;\n\u0026amp;nbsp;\u0026lt;br \/\u0026gt;\n\u0026lt;strong\u0026gt;Learning Objectives\u0026lt;\/strong\u0026gt;\u0026lt;br \/\u0026gt;\n\u0026lt;br \/\u0026gt;\nIn this topic you will be able to:\u0026lt;br \/\u0026gt;\n\u0026amp;bull; explore and identify quadrilaterals\u0026lt;br \/\u0026gt;\n\u0026amp;bull; differentiate types of quadrilater","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ms300028","TOPIC_ID":"ms300028","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_MS300028.jpg","PUBLIC_BANNER_IMG":"ms300028.jpg","PUBLIC_VIDEO":"pvideo_ms300028.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/A_Z3ZAAkY8g","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"0000-00-00 00:00:00","CREATED_BY":"1","UPDATED_ON":"0000-00-00 00:00:00","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;p\u0026gt;Overview:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;A quadrilateral is a four sides closed figure. A quadrilateral is called a parallelogram, if both pairs of its opposite sides are parallel. A parallelogram is called a rectangle if all of its angles are right angles. A rhombus is a simple quadrilateral whose four sides are of same length. A square is a quadrilateral, such that it has four equal sides and four equal angles of 90 degrees. A quadrilateral with at least one pair of parallel sides is known as a trapezium. A kite is a quadrilateral whose four sides can be grouped into two pairs of equal length sides that are adjacent to each other.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;Learning Objectives:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;After completing this module, you will be able to:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Identify a quadrilateral.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Differentiate between different types of quadrilaterals.\u0026lt;\/p\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Types of Quadrilateral","ADMSUBJECT_ID":"613","ADMCOURSE_ID":"173","DISPLAY_NAME":"Philippines - Grade 9 - Mathematics","DISPLAY_NAME_AR":"Philippines - Grade 9 - Mathematics","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","SUBJECT_DESC":"\u003Cspan style=\u0022color: rgb(0, 0, 0); font-family: Arial; text-align: center; white-space: pre-wrap;\u0022\u003EA strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"},{"CONT_ID":"18","CATEGORY_ID":"1","CONT_TITLE":"Proportion","CONT_SLUG":"proportion","CONT_TITLE_AR":"Proportion","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E\u003Cbr\u003E\u003C\/div\u003E \r\n\u003Cdiv\u003EA proportion is defined as a notation used to represent that the two ratios are equal. 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These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.\u003C\/span\u003E","SUBJECT_DESC_AR":"A strong background of Mathematics is required if you want to pursue higher studies in the fields of engineering, information technology or computer science. These modules contain the concept of Sets and its applications in Relations and Functions, New methods of Counting like Permutations and Combinations are introduced which helps in making selections and in many areas including networks, cryptography, etc. They describe the criteria required for Similar Triangles, which further explains different Trigonometric Ratios and their applications in real life.","SUBJECT_IMG":"613.jpg","SUBJECT_BANNER_IMG":"613.jpg","SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 9","COUNTRY_ID":"284","SHORT_NAME":"Philippines","DOMAIN_NAME":"STEM"}],"levelObject":[],"contData":{"CONT_ID":"767","CATEGORY_ID":"1","CONT_TITLE":"Quadrilaterals","CONT_SLUG":"quadrilaterals","CONT_TITLE_AR":"","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EA quadrilateral is a four-sided closed figure. It is called a parallelogram, if both pairs of opposite sides are parallel. 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A kite is a quadrilateral whose four sides can be grouped into two pairs of equal length sides that are adjacent to each other.\u003C\/div\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Ch3\u003ELearning Objectives:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAfter completing this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Define the types of quadrilaterals by their sides and angles.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Classify quadrilaterals by their sides and angles.\u003C\/div\u003E","CONT_DESC_AR":"","BACKING_FILE":null,"FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":null,"MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.vm000002","TOPIC_ID":"vm000002","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_vm000002.jpg","PUBLIC_BANNER_IMG":"vm000002.jpg","PUBLIC_VIDEO":"en_us_pvideo_vm000002.mp4","PUBLIC_VIDEO_URL":null,"DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"2018-08-03 10:27:07","CREATED_BY":"2143","UPDATED_ON":"2024-10-08 08:20:32","UPDATED_BY":"2","CONT_ORDER":"0","X_ROTATION":null,"Y_ROTATION":null,"Z_ROTATION":null,"BG_COLOR":"0x000000","X_POSITION":null,"Y_POSITION":null,"Z_POSITION":null,"TEMP_DESC":"\u0026lt;p\u0026gt;Overview:\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;A quadrilateral is a four-sided closed figure. It is called a parallelogram, if both pairs of opposite sides are parallel. A quadrilateral with at least one pair of parallel sides is known as a trapezium or trapezoid. 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