{"pkgId":"18","subjectId":"944","fullwidthLayout":false,"contentData":{"PACKAGE_NAME":"Ontario Curriculum Senior Secondary School","PACKAGE_SLUG":"ontario-senior-secondary-school","PACKAGE_IMG":"file_627884782_1589526147.png","ADMCOURSE_ID":"252","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","STANDARD_NAME":"Ontario","ADMSUBJECT_ID":"944","DISPLAY_NAME":"Ontario - Grade 11 - Mathematics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: University Preparation","SUBJECT_NAME_AR":"","CAT_NAME":"Binomial Theorem","CONT_ID":"251","CONT_TITLE":"Binomial Theorem","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EBinomial coefficients appear as the entries of Pascal\u0026#039;s triangle where each entry is the sum of the two above it. In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.\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- State and prove the binomial theorem for positive integral values.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explain Pascal\u0026#039;s triangle.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Compute the value of a given number using the binomial theorem.\u003C\/div\u003E","CONT_SLUG":"binomial-theorem","BACKING_FILE":"ss300066.apk","CONT_SRC":"","CONTTYPE_ID":"9","PUBLIC_IMG":"thumb_SS300066.jpg","PUBLIC_BANNER_IMG":"SS300066.jpg","PUBLIC_VIDEO":"pvideo_ss300066.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/_WPsvKBX-5o","PACKAGE_DOMAIN":"STEM"},"pkgCourses":[{"ADMCOURSE_ID":"252","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"937","DISPLAY_NAME":"Ontario - Grade 11 - Biology: College Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Biology: College Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":24,"contSlug":"fermentation"},{"ADMCOURSE_ID":"252","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"938","DISPLAY_NAME":"Ontario - Grade 11 - Biology: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Biology: University Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":47,"contSlug":"binary-fission"},{"ADMCOURSE_ID":"252","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"940","DISPLAY_NAME":"Ontario - Grade 11 - Chemistry: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Chemistry: University Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":22,"contSlug":"ionic-compounds"},{"ADMCOURSE_ID":"252","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"942","DISPLAY_NAME":"Ontario - Grade 11 - Physics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Physics: University Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":41,"contSlug":"the-decibel-scale"},{"ADMCOURSE_ID":"252","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"943","DISPLAY_NAME":"Ontario - Grade 11 - Mathematics: College Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: College Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":1,"contSlug":"simple-interest"},{"ADMCOURSE_ID":"252","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"944","DISPLAY_NAME":"Ontario - Grade 11 - Mathematics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: University Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":9,"contSlug":"types-of-relations"},{"ADMCOURSE_ID":"252","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"945","DISPLAY_NAME":"Ontario - Grade 11 - Mathematics: University\/College Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":" Mathematics: University\/College Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":0,"contSlug":null},{"ADMCOURSE_ID":"253","COURSE_NAME":"Grade 12","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"946","DISPLAY_NAME":"Ontario - Grade 12 - Biology: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Biology: University Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":23,"contSlug":"mutualism"},{"ADMCOURSE_ID":"253","COURSE_NAME":"Grade 12","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"947","DISPLAY_NAME":"Ontario - Grade 12 - Chemistry: College Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Chemistry: College Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":5,"contSlug":"functional-groups-naming-conventions"},{"ADMCOURSE_ID":"253","COURSE_NAME":"Grade 12","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"948","DISPLAY_NAME":"Ontario - Grade 12 - Chemistry: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Chemistry: University Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":39,"contSlug":"clinical-thermometers"},{"ADMCOURSE_ID":"253","COURSE_NAME":"Grade 12","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"949","DISPLAY_NAME":"Ontario - Grade 12 - Physics: College Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Physics: College Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":14,"contSlug":"solar-devices"},{"ADMCOURSE_ID":"253","COURSE_NAME":"Grade 12","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"950","DISPLAY_NAME":"Ontario - Grade 12 - Physics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Physics: University Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":8,"contSlug":"relative-motion"},{"ADMCOURSE_ID":"253","COURSE_NAME":"Grade 12","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"951","DISPLAY_NAME":"Ontario - Grade 12 - Mathematics: College Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: College Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":5,"contSlug":"zeroes-and-factor-of-polynomial"},{"ADMCOURSE_ID":"253","COURSE_NAME":"Grade 12","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"952","DISPLAY_NAME":"Ontario - Grade 12 - Mathematics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: University Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":3,"contSlug":"inequalities-solve-by-addition-or-subtraction"},{"ADMCOURSE_ID":"253","COURSE_NAME":"Grade 12","COUNTRY_ID":"316","SHORT_NAME":"Ontario","ADMSUBJECT_ID":"953","DISPLAY_NAME":"Ontario - Grade 12 - Earth And Space Science, University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Earth And Space Science, University Preparation","SUBJECT_NAME_AR":"","PACKAGE_ID":"18","total":2,"contSlug":"earths-magnetic-field"}],"allContents":[{"CONT_ID":"757","CATEGORY_ID":"1","CONT_TITLE":"Types of Relations","CONT_SLUG":"types-of-relations","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 relation between two sets is defined as the collection of ordered pairs containing one object from each set. For example, a relation from a set A to a set B is a set of ordered pairs \u003Cx, y\u003E where x is an element of A and y is an element of B. There are three types of relations: reflexive, symmetric, and transitive. A relation that is reflexive, symmetric, and transitive is known as an equivalence relation.\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 and identify reflexive relations.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Define and identify symmetric relations.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Define and identify transitive relations.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Define and identify equivalence relations.\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.vm000016","TOPIC_ID":"vm000016","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_vm000016.jpg","PUBLIC_BANNER_IMG":"vm000016.jpg","PUBLIC_VIDEO":"en_us_pvideo_vm000016.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":"2018-09-05 14:13:35","CREATED_BY":"2143","UPDATED_ON":"2018-09-06 09:02:35","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 relation between two sets is defined as the collection of ordered pairs containing one object from each set. For example, a relation from a set A to a set B is a set of ordered pairs \u0026amp;lt;x, y\u0026amp;gt; where x is an element of A and y is an element of B. There are three types of relations: reflexive, symmetric, and transitive. A relation that is reflexive, symmetric, and transitive is known as an equivalence relation.\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 and identify reflexive relations.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Define and identify symmetric relations.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Define and identify transitive relations.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Define and identify equivalence relations.\u0026lt;\/p\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Types of Relations","ADMSUBJECT_ID":"944","ADMCOURSE_ID":"252","DISPLAY_NAME":"Ontario - Grade 11 - Mathematics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: University Preparation","SUBJECT_NAME_AR":"","SUBJECT_DESC":"Description","SUBJECT_DESC_AR":"","SUBJECT_IMG":"","SUBJECT_BANNER_IMG":null,"SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","DOMAIN_NAME":"STEM"},{"CONT_ID":"756","CATEGORY_ID":"1","CONT_TITLE":"Relations: Domain and Range","CONT_SLUG":"relations-domain-and-range","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 relation between two sets is defined as the collection of ordered pairs containing one object from each set. For example, a relation from a set A to a set B is a set of ordered pairs \u003Cx, y\u003E where x is an element of A and y is an element of B.\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 Cartesian product.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Find Cartesian product of two sets.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Define a relation set.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Define domain and range of a relation set.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Find domain and range of a relation set.\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.vm000015","TOPIC_ID":"vm000015","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_vm000015.jpg","PUBLIC_BANNER_IMG":"vm000015.jpg","PUBLIC_VIDEO":"en_us_pvideo_vm000015.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":"2018-09-05 14:13:35","CREATED_BY":"2143","UPDATED_ON":"2018-09-06 09:02:35","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 relation between two sets is defined as the collection of ordered pairs containing one object from each set. For example, a relation from a set A to a set B is a set of ordered pairs \u0026amp;lt;x, y\u0026amp;gt; where x is an element of A and y is an element of B.\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 Cartesian product.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Find Cartesian product of two sets.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Define a relation set.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Define domain and range of a relation set.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;- Find domain and range of a relation set.\u0026lt;\/p\u0026gt;","IS_ANALYTICS":"Y","VR_ENABLE":"Y","VR_SESSION_ENABLE":"Y","YOUTUBE_URL":null,"CONT_TYPE":"VR Module","CAT_NAME":"Relations: Domain and Range","ADMSUBJECT_ID":"944","ADMCOURSE_ID":"252","DISPLAY_NAME":"Ontario - Grade 11 - Mathematics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: University Preparation","SUBJECT_NAME_AR":"","SUBJECT_DESC":"Description","SUBJECT_DESC_AR":"","SUBJECT_IMG":"","SUBJECT_BANNER_IMG":null,"SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","DOMAIN_NAME":"STEM"},{"CONT_ID":"286","CATEGORY_ID":"1","CONT_TITLE":"Functions","CONT_SLUG":"functions","CONT_TITLE_AR":"Functions","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EA function is a special relationship where each input has a single output. It is often written as f(x), where x is the input value.\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- Find the domain of a square root function.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Find the domain and range of a function from the algebraic form.\u003C\/div\u003E","CONT_DESC_AR":"A function is a relationship between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.\u0026lt;br \/\u0026gt;\nAn example is the function that relates each real number x to its square x\u0026lt;sup\u0026gt;2\u0026lt;\/sup\u0026gt;.\u0026amp;nbsp;\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;\nIn this simulation, you will be able to:\u0026lt;br \/\u0026gt;\n\u0026amp;bull; find the domain of a square root function\u0026lt;br \/\u0026gt;\n\u0026amp;bull; find the domain and range of a function from the algebraic form","BACKING_FILE":"ss300081.apk","FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ss300081","TOPIC_ID":"ss300081","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_SS300081.jpg","PUBLIC_BANNER_IMG":"SS300081.jpg","PUBLIC_VIDEO":"pvideo_ss300081.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/ln5podNizPU","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"2018-09-05 14:13:35","CREATED_BY":"1","UPDATED_ON":"2018-09-06 09:02:35","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;A function is a special relationship where each input has a single output. It is often written as f(x), where x is the input value.\u0026lt;\/p\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;- Find the domain of a square root function.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Find the domain and range of a function from the algebraic form.\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":"Functions","ADMSUBJECT_ID":"944","ADMCOURSE_ID":"252","DISPLAY_NAME":"Ontario - Grade 11 - Mathematics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: University Preparation","SUBJECT_NAME_AR":"","SUBJECT_DESC":"Description","SUBJECT_DESC_AR":"","SUBJECT_IMG":"","SUBJECT_BANNER_IMG":null,"SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","DOMAIN_NAME":"STEM"},{"CONT_ID":"282","CATEGORY_ID":"1","CONT_TITLE":"Geometric Sequence and Series","CONT_SLUG":"introduction-to-geometric-sequence","CONT_TITLE_AR":"Introduction to Geometric Sequence","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EA sequence of numbers is said to be a geometric sequence if each term after the first term can be obtained by multiplying the previous one by a fixed, non-zero number called the common ratio. For example, the sequence 2, 4, 8, 16, is a geometric sequence with a common ratio of 2.\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 a geometric sequence.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Apply a formula for finding the n term.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Apply a formula for finding the sum of a geometric series.\u003C\/div\u003E","CONT_DESC_AR":"A geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.\u0026lt;br \/\u0026gt;\nFor example, the sequence 2, 6, 18, 54, is a geometric progression with a common ratio of 3.\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 be able to:\u0026lt;br \/\u0026gt;\n\u0026amp;bull; define geometric sequence\u0026lt;br \/\u0026gt;\n\u0026amp;bull; apply a formula for finding the n\u1d57\u02b0 term\u0026lt;br \/\u0026gt;\n\u0026amp;bull; apply a formula for finding the sum of a geometric series","BACKING_FILE":"ss300069.apk","FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ss300069","TOPIC_ID":"ss300069","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_SS300069.jpg","PUBLIC_BANNER_IMG":"SS300069.jpg","PUBLIC_VIDEO":"pvideo_ss300069.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/2Q5xiWjT3hs","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"2018-09-05 14:13:35","CREATED_BY":"1","UPDATED_ON":"2018-09-06 09:02:35","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 sequence of numbers is said to be a geometric sequence if each term after the first term can be obtained by multiplying the previous one by a fixed, non-zero number called the common ratio. For example, the sequence 2, 4, 8, 16, is a geometric sequence with a common ratio of 2.\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 a geometric sequence.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Apply a formula for finding the n term.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Apply a formula for finding the sum of a geometric series.\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 Geometric Sequence","ADMSUBJECT_ID":"944","ADMCOURSE_ID":"252","DISPLAY_NAME":"Ontario - Grade 11 - Mathematics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: University Preparation","SUBJECT_NAME_AR":"","SUBJECT_DESC":"Description","SUBJECT_DESC_AR":"","SUBJECT_IMG":"","SUBJECT_BANNER_IMG":null,"SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","DOMAIN_NAME":"STEM"},{"CONT_ID":"281","CATEGORY_ID":"1","CONT_TITLE":"Relations","CONT_SLUG":"relations","CONT_TITLE_AR":"Relations","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EA relation between the two sets is defined as the collection of ordered pairs containing one object from each set. For example, a relation from a set A to a set B is a set of ordered pairs \u003C x, y \u003E, where x is an element of A and y is an element of B.\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 going through this module, you will be able to:\u003C\/div\u003E \r\n\u003Cdiv\u003E- Define a relation.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Differentiate between different types of relations.\u003C\/div\u003E","CONT_DESC_AR":"A relation between two sets is a collection of ordered pairs containing one object from each set.\r\nIf the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x, y) is in the relation.\r\nA function is a type of relation.\u003C\/br\u003E\u003C\/br\u003E\r\n\u003Cstrong\u003ELearning Objectives\u003C\/strong\u003E\u003C\/br\u003E\u003C\/br\u003E\r\nIn this simulation, you will be able to:\u003C\/br\u003E\r\n\u25cf define a relation\u003C\/br\u003E\r\n\u25cf differentiate between different types of relation","BACKING_FILE":"ss300080.apk","FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ss300080","TOPIC_ID":"ss300080","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_SS300080.jpg","PUBLIC_BANNER_IMG":"SS300080.jpg","PUBLIC_VIDEO":"pvideo_ss300080.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/i4PXH0iyvS4","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"2018-09-05 14:13:35","CREATED_BY":"1","UPDATED_ON":"2018-09-06 09:02:35","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;A relation between the two sets is defined as the collection of ordered pairs containing one object from each set. For example, a relation from a set A to a set B is a set of ordered pairs \u0026amp;lt;x, y\u0026amp;gt;,\u0026amp;nbsp; where x is an element of A and y is an element of B.\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;\u0026lt;br\u0026gt;\u0026lt;\/p\u0026gt;\u0026lt;p\u0026gt;Learning Objectives:\u0026lt;\/p\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;After going through this module, you will be able to:\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Define a relation.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Differentiate between different types of relations.\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;div\u0026gt;\u0026lt;\/div\u0026gt;\u0026lt;\/div\u0026gt;\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":"Relations","ADMSUBJECT_ID":"944","ADMCOURSE_ID":"252","DISPLAY_NAME":"Ontario - Grade 11 - Mathematics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: University Preparation","SUBJECT_NAME_AR":"","SUBJECT_DESC":"Description","SUBJECT_DESC_AR":"","SUBJECT_IMG":"","SUBJECT_BANNER_IMG":null,"SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","DOMAIN_NAME":"STEM"},{"CONT_ID":"265","CATEGORY_ID":"1","CONT_TITLE":"Linear Function, Domain and Range","CONT_SLUG":"linear-function-domain-and-range","CONT_TITLE_AR":"Linear Function, Domain and Range","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EThe domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: the domain is the set of all possible x-values which will make the function work, and will output real y-values.\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 and find the domain of a function.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Identify and find the range of a function.\u003C\/div\u003E","CONT_DESC_AR":"The domain of a function is the complete set of possible values of the independent variable.\u0026lt;br \/\u0026gt;\nIn plain English, this definition means: The domain is the set of all possible x-values which will make the function \u0026amp;quot;work\u0026amp;quot;, and will output real y-values.\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:\u0026lt;br \/\u0026gt;\n\u0026amp;bull; find the domain and range of a function graphically","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.hs300051","TOPIC_ID":"hs300051","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_HS300051.jpg","PUBLIC_BANNER_IMG":"HS300051.jpg","PUBLIC_VIDEO":"pvideo_hs300051.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/0x50NsVhW4w","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"2018-09-05 14:13:35","CREATED_BY":"1","UPDATED_ON":"2018-09-06 09:02:35","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 domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: the domain is the set of all possible x-values which will make the function work, and will output real y-values.\u0026amp;nbsp;\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 and find the domain of a function.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Identify and find the range of a function.\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":"Linear Functions, Domain and Range","ADMSUBJECT_ID":"944","ADMCOURSE_ID":"252","DISPLAY_NAME":"Ontario - Grade 11 - Mathematics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: University Preparation","SUBJECT_NAME_AR":"","SUBJECT_DESC":"Description","SUBJECT_DESC_AR":"","SUBJECT_IMG":"","SUBJECT_BANNER_IMG":null,"SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","DOMAIN_NAME":"STEM"},{"CONT_ID":"251","CATEGORY_ID":"1","CONT_TITLE":"Binomial Theorem","CONT_SLUG":"binomial-theorem","CONT_TITLE_AR":"Binomial Theorem","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EBinomial coefficients appear as the entries of Pascal\u0026#039;s triangle where each entry is the sum of the two above it. In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.\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- State and prove the binomial theorem for positive integral values.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explain Pascal\u0026#039;s triangle.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Compute the value of a given number using the binomial theorem.\u003C\/div\u003E","CONT_DESC_AR":"Binomial coefficients appear as the entries of Pascals triangle where each entry is the sum of the two above it.\u0026lt;br \/\u0026gt;\nIn elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.\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 topic, you will be able to:\u0026lt;br \/\u0026gt;\n- state and prove the binomial theorem for positive integral values\u0026lt;br \/\u0026gt;\n- explain Pascal\u0026amp;#39;s triangle\u0026lt;br \/\u0026gt;\n- compute the value of a given number using the binomial theorem","BACKING_FILE":"ss300066.apk","FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ss300066","TOPIC_ID":"ss300066","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_SS300066.jpg","PUBLIC_BANNER_IMG":"SS300066.jpg","PUBLIC_VIDEO":"pvideo_ss300066.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/_WPsvKBX-5o","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"2018-09-05 14:13:35","CREATED_BY":"1","UPDATED_ON":"2018-09-06 09:02:35","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;Binomial coefficients appear as the entries of Pascal\u0026#039;s triangle where each entry is the sum of the two above it. In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.\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;- State and prove the binomial theorem for positive integral values.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Explain Pascal\u0026#039;s triangle.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Compute the value of a given number using the binomial theorem.\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":"Binomial Theorem","ADMSUBJECT_ID":"944","ADMCOURSE_ID":"252","DISPLAY_NAME":"Ontario - Grade 11 - Mathematics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: University Preparation","SUBJECT_NAME_AR":"","SUBJECT_DESC":"Description","SUBJECT_DESC_AR":"","SUBJECT_IMG":"","SUBJECT_BANNER_IMG":null,"SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","DOMAIN_NAME":"STEM"},{"CONT_ID":"197","CATEGORY_ID":"1","CONT_TITLE":"Sum of Arithmetic Sequence and Series","CONT_SLUG":"sum-of-arithmetic-sequence-and-series","CONT_TITLE_AR":"Sum of Arithmetic Sequence and Series","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003ETo find the sum of all arithmetic sequences, we apply the formula for sum of n terms, Sn= (n\/2)(2a+(n-1000)d).\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 formula for the sum of \u0026#039;n\u0026#039; terms.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Assess the application of the sum of \u0026#039;n\u0026#039; terms in the real world.\u003C\/div\u003E","CONT_DESC_AR":"To find the sum of all arithmetic sequences, we apply the formula for sum of n terms, Sn= n\/2(2a+(n-1)d).\u0026lt;br \/\u0026gt;\nLearn the application of the sum of (n) terms in the real world.\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; identify the formula for the sum of n terms\u0026lt;br \/\u0026gt;\n\u0026amp;bull; assess the application of the sum of n terms in the real world","BACKING_FILE":"ss300043.apk","FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ss300043","TOPIC_ID":"ss300043","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_SS300043.jpg","PUBLIC_BANNER_IMG":"SS300043.jpg","PUBLIC_VIDEO":"pvideo_ss300043.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/FBQUvWlgIWw","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"2018-09-05 14:13:35","CREATED_BY":"1","UPDATED_ON":"2018-09-06 09:02:35","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;To find the sum of all arithmetic sequences, we apply the formula for sum of n terms,\u0026amp;nbsp; S\u0026lt;span style=\u0026quot;font-size: 9.75px; line-height: 0; position: relative; vertical-align: baseline; bottom: -0.25em; color: rgb(0, 77, 64); font-family: \u0026amp;quot;Open Sans\u0026amp;quot;, \u0026amp;quot;Lucida Sans\u0026amp;quot;, sans-serif; text-align: justify;\u0026quot;\u0026gt;n\u0026lt;\/span\u0026gt;= (n\/2)(2a+(n-1)d).\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;- Identify the formula for the sum of \u0026#039;n\u0026#039; terms.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Assess the application of the sum of \u0026#039;n\u0026#039; terms in the real world.\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":"Sum of Arithmetic Sequence and Series","ADMSUBJECT_ID":"944","ADMCOURSE_ID":"252","DISPLAY_NAME":"Ontario - Grade 11 - Mathematics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: University Preparation","SUBJECT_NAME_AR":"","SUBJECT_DESC":"Description","SUBJECT_DESC_AR":"","SUBJECT_IMG":"","SUBJECT_BANNER_IMG":null,"SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","DOMAIN_NAME":"STEM"},{"CONT_ID":"183","CATEGORY_ID":"1","CONT_TITLE":"Introduction to Arithmetic Sequence","CONT_SLUG":"introduction-to-arithmetic-sequence-and-series","CONT_TITLE_AR":"Introduction to Arithmetic Sequence and Series","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EAn arithmetic sequence is a sequence in which the successive terms have common differences. With the first term (a), common difference (d) and (n) number of terms, we can find the last term using the formula, an = a+(n-1)d. Arithmetic mean between two numbers is a+b\/2 and if the sequence is a, A1, A2, A3, A4, b then A1, A2, A3, A4 are four arithmetic mean between a and b.\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- Assess arithmetic sequence and series.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Apply a formula for arithmetic sequence and series.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Describe the concept of arithmetic sequence and series.\u003C\/div\u003E","CONT_DESC_AR":"An arithmetic sequence is a sequence in which the successive terms have common differences.\u0026lt;br \/\u0026gt;\nWith the first term (a), common difference (d) and (n) number of terms, we can find the last term using the formula, an = a+(n-1)d. Arithmetic mean between two numbers is a+b\/2 and if the sequence is a, A1, A2, A3, A4, b then A1, A2, A3, A4 are four arithmetic mean between a and b.\u0026lt;br \/\u0026gt;\n\u0026lt;strong\u0026gt;\u0026amp;nbsp;\u0026lt;br \/\u0026gt;\nLearning 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; assess arithmetic sequence and series\u0026lt;br \/\u0026gt;\n\u0026amp;bull; apply a formula for arithmetic sequence and series\u0026lt;br \/\u0026gt;\n\u0026amp;bull; describe the concept of arithmetic sequence and series\u0026lt;br \/\u0026gt;\n\u0026amp;nbsp;","BACKING_FILE":"ss300002.apk","FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ss300002","TOPIC_ID":"ss300002","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_SS300002.jpg","PUBLIC_BANNER_IMG":"ss300002.jpg","PUBLIC_VIDEO":"pvideo_ss300002.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/A8TSAmwj-ac","DIST":null,"SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":null,"CREATED_ON":"2018-09-05 14:13:35","CREATED_BY":"1","UPDATED_ON":"2018-09-06 09:02:35","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;An arithmetic sequence is a sequence in which the successive terms have common differences. With the first term (a), common difference (d) and (n) number of terms, we can find the last term using the formula, a\u0026lt;span style=\u0026quot;font-size: 9.75px; line-height: 0; position: relative; vertical-align: baseline; bottom: -0.25em; color: rgb(0, 77, 64); font-family: \u0026amp;quot;Open Sans\u0026amp;quot;, \u0026amp;quot;Lucida Sans\u0026amp;quot;, sans-serif; text-align: justify;\u0026quot;\u0026gt;n\u0026lt;\/span\u0026gt;\u0026amp;nbsp;= a+(n-1)d. Arithmetic mean between two numbers is a+b\/2 and if the sequence is a, A1, A2, A3, A4, b then A1, A2, A3, A4 are four arithmetic mean between a and b.\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;- Assess arithmetic sequence and series.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Apply a formula for arithmetic sequence and series.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Describe the concept of arithmetic sequence and series.\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 Arithmetic Sequence and Series","ADMSUBJECT_ID":"944","ADMCOURSE_ID":"252","DISPLAY_NAME":"Ontario - Grade 11 - Mathematics: University Preparation","DISPLAY_NAME_AR":"","SUBJECT_NAME":"Mathematics: University Preparation","SUBJECT_NAME_AR":"","SUBJECT_DESC":"Description","SUBJECT_DESC_AR":"","SUBJECT_IMG":"","SUBJECT_BANNER_IMG":null,"SUBJECT_PRICE":null,"IS_FEATURED":"N","COURSE_NAME":"Grade 11","COUNTRY_ID":"316","SHORT_NAME":"Ontario","DOMAIN_NAME":"STEM"}],"levelObject":["Binomial","Theorem","Pascal\u0027s Triangle"],"contData":{"CONT_ID":"251","CATEGORY_ID":"1","CONT_TITLE":"Binomial Theorem","CONT_SLUG":"binomial-theorem","CONT_TITLE_AR":"Binomial Theorem","CONT_DESC":"\u003Ch3\u003EOverview:\u003C\/h3\u003E \r\n\u003Cdiv\u003E \r\n \u003Cbr\u003E \r\n\u003C\/div\u003E \r\n\u003Cdiv\u003EBinomial coefficients appear as the entries of Pascal\u0026#039;s triangle where each entry is the sum of the two above it. In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.\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- State and prove the binomial theorem for positive integral values.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Explain Pascal\u0026#039;s triangle.\u003C\/div\u003E \r\n\u003Cdiv\u003E- Compute the value of a given number using the binomial theorem.\u003C\/div\u003E","CONT_DESC_AR":"Binomial coefficients appear as the entries of Pascals triangle where each entry is the sum of the two above it.\u0026lt;br \/\u0026gt;\nIn elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.\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 topic, you will be able to:\u0026lt;br \/\u0026gt;\n- state and prove the binomial theorem for positive integral values\u0026lt;br \/\u0026gt;\n- explain Pascal\u0026amp;#39;s triangle\u0026lt;br \/\u0026gt;\n- compute the value of a given number using the binomial theorem","BACKING_FILE":"ss300066.apk","FILE_UID":null,"SCORM_COURSE_ID":null,"CONT_SRC":"","MOD_FILES":null,"FOLDER_NAME":null,"CONTTYPE_ID":"9","ANDROID_PKG":"com.umety.vr.ss300066","TOPIC_ID":"ss300066","IS_PUBLISH":"Y","IS_PUBLIC":"Y","CONT_PRICE":null,"PUBLIC_IMG":"thumb_SS300066.jpg","PUBLIC_BANNER_IMG":"SS300066.jpg","PUBLIC_VIDEO":"pvideo_ss300066.mp4","PUBLIC_VIDEO_URL":"https:\/\/youtu.be\/_WPsvKBX-5o","DIST":"AF,AX,AL,DZ,AS,AD,AO,AI,AQ,AG,AR,AM,AW,AU,AT,AZ,BS,BH,BD,BB,BY,BE,BZ,BJ,BM,BT,BO,BQ,BA,BW,BV,BR,IO,BN,BG,BF,BI,KH,CM,CA,CV,KY,CF,TD,CL,CN,CX,CC,CO,KM,CG,CK,CR,CI,HR,CU,CW,CY,CZ,CD,DK,DJ,DM,DO,EC,EG,SV,GQ,ER,EE,ET,FK,FO,FJ,FI,FR,GF,PF,TF,GA,GM,GE,DE,GH,GI,GR,GL,GD,GP,GU,GT,GG,GN,GW,GY,HT,HM,HN,HK,HU,IS,IN,ID,IR,IQ,IE,IM,IT,JM,JP,JE,JO,KZ,KE,KI,XK,KW,KG,LA,LV,LB,LS,LR,LY,LI,LT,LU,MO,MK,MG,MW,MY,MV,ML,MT,MH,MQ,MR,MU,YT,MX,FM,MD,MC,MN,ME,MS,MA,MZ,MM,NA,NR,NP,NL,NC,NZ,NI,NE,NG,NU,NF,KP,MP,NO,OM,PK,PW,PS,PA,PG,PY,PE,PH,PN,PL,PT,PR,QA,RE,RO,RU,RW,BL,SH,KN,LC,MF,PM,VC,WS,SM,ST,SA,SN,RS,SC,SL,SG,SX,SK,SI,SB,SO,ZA,GS,KR,SS,ES,LK,SD,SR,SJ,SZ,SE,CH,SY,TW,TJ,TZ,TH,TL,TG,TK,TO,TT,TN,TR,TM,TC,TV,UG,UA,AE,GB,US,UM,UY,UZ,VU,VA,VE,VN,VG,VI,WF,EH,YE,ZM,ZW","SHOW_ON_HOME":"N","CONTROLLER_REQUIRED":"Y","DOMAIN":"3","CONCEPT":"0","STATUS":"A","EXPIRY_DAYS":"0","CREATED_ON":"2017-01-22 08:48:56","CREATED_BY":"1","UPDATED_ON":"2024-10-08 11:39:31","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;Binomial coefficients appear as the entries of Pascal\u0026#039;s triangle where each entry is the sum of the two above it. In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.\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;- State and prove the binomial theorem for positive integral values.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Explain Pascal\u0026#039;s triangle.\u0026lt;\/div\u0026gt;\u0026lt;div\u0026gt;- Compute the value of a given number using the binomial theorem.\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":"Binomial Theorem","DISPLAY_NAME":"NGSS New - High School - Mathematics","DISPLAY_NAME_AR":"NGSS New - High School - Mathematics","SUBJECT_IMG":"560.jpg","ADMSUBJECT_ID":"560","SUBJECT_NAME":"Mathematics","SUBJECT_NAME_AR":"Mathematics","ADMCOURSE_ID":"192","COURSE_NAME":"High School","COUNTRY_ID":"287","STANDARD_ID":"287","SHORT_NAME":"NGSS","LANG_ID":null,"LOCALE_TITLE":null,"LOCALE_DESC":null,"DIR":null,"LANG_NAME":null,"DOMAIN_NAME":"STEM","DOMAIN_DESC":"STEM"},"checkLang":["English - US","\u4e2d\u6587","\u0639\u0631\u0628\u064a","Espa\u00f1ol","Ti\u1ebfng Vi\u1ec7t"],"devices":["UmetyVR","WebXR"]}