Grade 6 Area of Parallelograms and Triangles - EduGAINs

1 TIPS4 MathGrade 6 area of Parallelograms and Triangles Overall ExpectationsStudents will: Estimate, measure, and record quantities, using the metric measurement system (6m29) Determine the relationships among units and measurable attributes, including the area of a parallelogram, the area of a triangle, and the volume of a triangular prism (6m30) Use variables in simple algebraic expressions and equations to describe relationships (6m56)Specific ExpectationsStudents will: Estimate, measure, and record length, area , mass, capacity, and volume, using the metric measurement system (6m32) Construct a rectangle, a square, a triangle, and a parallelogram, using a variety of tools, given the area and/or perimeter (6m35) Determine, through investigation using a variety of tools and strategies, the relationship between the area of a rectangle and the areas of Parallelograms and Triangles , by decomposing and composing (6m36) Develop the formulas for the area of a parallelogram ( , area of parallelogram = base x height) and the area of a triangle [ , area of triangle = (base x height) 2], using the area relationships among rectangles, Parallelograms , and Triangles (6m37)

2 Solve problems involving the estimation and calculation of the areas of Triangles and the areas of Parallelograms (6m38) Determine, using concrete materials, the relationship between units used to measure area ( , square centimetre, square metre), and apply the relationship to solve problems that involve conversions from square metres to square centimetres (6m39) Demonstrate an understanding of different ways in which variables are used (6m63) Identify, through investigation, the quantities in an equation that vary and those that remain constant (6m64) Solve problems that use two or three symbols or letters as variables to represent different unknown quantities (6m65) Determine the solution to a simple equation with one variable, through investigation using a variety of tools and strategies (6m66)

3 LessonLearning FocusSpecificExpectationsArea Relationships Between Rectangles and Parallelograms Through investigation using a variety of tools and strategies, determine the relationship between the area of a rectangle and the area of a parallelogram6m326m36 area Relationships Between Through investigation using a variety of tools and strategies, determine the 6m32 Parallelograms and Triangles relationship between the area of a parallelogram and the area of a triangle6m36 Develop the formula for area of a parallelogram and the formula for area of 6m37 a triangle 6m63 Identify the quantities in an equation that vary and those that remain 6m64 constant ( , A = (b x h)/2) EduGAINs -MathematicsPage 1 of 8 TIPS4 MathGrade 6 area of Parallelograms and Triangles (continued)Lesson Learning FocusSpecificExpectationsArea of Parallelograms and Solve problems involving the estimation and calculation of the areas of 6m32 Triangles Problem Solving Triangles and Parallelograms 6m38 Solve problems that use two or three letters as variables 6m656m66 Unit Conversions Solve area problems that involve conversions from square metres to square 6m32 centimetres 6m39 Construct Parallelograms and Use a variety of tools (concrete materials, geoboard, dynamic geometry 6m32 Triangles with a Given area software, grid paper, ruler)

4 To construct Triangles and Parallelograms with a 6m35 given area Consolidation and Summative TasksEduGAINS-MathematicsPage 2 of 8 TIPS4 MathGrade 6 area Relationships Between Rectangles and ParallelogramsSpecific Expectations: 6m32, 6m36 Learning FocusBlended LearningOther ResourcesTeacher GuideGuide to Effective Instruction: Measurement Grades 4 6 pp 31 34 NCTM Illuminations area of a Parallelogram Finding the area of ParallelogramsUnit 2 Activity 2: area of Parallelograms and TrianglesOERB ID: ELO1474960 Minds On Review the formula for area of a rectangle using square unitsUnderstands how variables are used in formulas Action Through investigation using a variety of tools and strategies, determine the relationship between the area of a rectangle and the area of a parallelogramUnit 2 Activity 2: ActionOERB ID: ELO1474920 Virtual Geoboard o investigate relationships between the area of rectangles and Parallelograms area of a Parallelogram VideoNote: supplementation required for using concrete materialsConsolidationEduGAINS-Mathemati csPage 3 of 8 TIPS4 MathGrade 6 area Relationships Between Parallelograms and TrianglesSpecific Expectations.

5 6m32, 6m36, 6m37, 6m63, 6m64 Learning FocusBlended LearningOther ResourcesTeacher GuideGuide to Effective Instruction: Measurement Grades 4 6 pp 31 34 NCTM IlluminationsUnit 2 Activity 2: area of Parallelograms and TrianglesOERB ID: ELO1474960 Minds Review the formula for area of a Unit 2 Activity 2: ActionOnparallelogram Rectangle Ricky s Parallelogram Identity Crisis OERB ID: ELO1414660 o explores the relationship of the areas of rectangles, Parallelograms and Triangles (develops area formulas for parallelogram and triangle) area Tool Discovering the area Formula for TrianglesAction Through investigation using a variety of tools and strategies, determine the relationship between the area of a parallelogram and the area of a triangleDevelop the formula for area of a parallelogram and the formula for area of a triangle Identify the quantities in an equation that vary and those that remain constant ( , A = (b x h)/2)Unit 2 Activity 2: ActionOERB ID: ELO1474920 area of a Triangle video Geometer s Sketchpad area activityNote.

6 Supplementation required for estimationConsolidationUnit 2 Activity 2: Consolidation Discussion o area of triangle and parallelogram relationship o Toolbox to illustrate thinkingEduGAINS-MathematicsPage 4 of 8 TIPS4 MathGrade 6 area of Parallelograms and Triangles Problem SolvingSpecific Expectations: 6m32, 6m38, 6m65, 6m66 Learning FocusBlended LearningOther ResourcesTeacher GuideGuide to Effective Instruction: Measurement Grades 4 6 pp 31 34 Unit 2 Activity 2: area of Parallelograms and TrianglesOERB ID: ELO1474960 Minds On Understand different ways variables are used and measurement formulasAction Solve problems involving the estimation and calculation of the areas of Triangles and parallelogramsSolve problems that use two or three letters as variablesUnit 2 Activity 2: ActionOERB ID: ELO1414920 Assignment 1: area of Parallelograms Assignment 2: area of TrianglesNote: supplementation required for solving problems that use two or three letters as variablesConsolidationUnit ConversionsSpecific Expectations.

7 6m32, 6m39 Learning FocusBlended LearningOther ResourcesMinds On Use concrete materials to determine the relationship between units used to measure area (square centimetre, square metre)Action Solve area problems that involve conversions from square metres to square centimetresConsolidationEduGAINS-Mathema ticsPage 5 of 8 TIPS4 MathGrade 6 Construct Triangles and Parallelograms with a Given AreaSpecific Expectations: 6m32, 6m35 Learning FocusBlended LearningOther ResourcesMinds Review that base and height are Onfactors of double the area of a triangle Review formulas for the area of Triangles and parallelogramsAction Review that base and height are factors of double the area of a triangle Review formulas for the area of Triangles and parallelogramsConsolidationConsolidation & Summative TasksSpecific Expectations: 6m32, 6m35, 6m36, 6m37, 6m38, 6m39, 6m63, 6m64, 6m65, 6m66 Blended LearningOther ResourcesEduGAINS-MathematicsPage 6 of 8 TIPS4 MathGrade 6 area Relationships Between Rectangles and ParallelogramsResourceURLT eacher Guide: 2 Activity 2: area of Notes%20for%20 Activities%201%20-%203 and TrianglesUnit 2 Activity 2.

8 Of a Parallelogram to Effective Instruction: Grades 4 6 NCTM Illuminations: of a ParallelogramNCTM Illuminations: the area of ParallelogramsEduGAINS-MathematicsPage 7 of 8 TIPS4 MathGrade 6 area Relationships Between Triangles and ParallelogramsResourceURLT eacher Guide: 2 Activity 2: area of Notes%20for%20 Activities%201%20-%203 and TrianglesRectangle Ricky s Parallelogram CrisishtmlUnit 2 Activity 2: s Sketchpad area 2 Activity 2: to Effective Instruction: Grades 4 6 NCTM Illuminations: ToolNCTM Illuminations: the area Formula for TrianglesArea of Parallelograms and Triangles Problem SolvingResourceURLT eacher Guide: 2 Activity 2: area of Notes%20for%20 Activities%201%20-%203 and TrianglesAssignment 1: of Parallelograms6 MTHEU02A02 2: area of to Effective Instruction: Grades 4 6 EduGAINs -MathematicsPage 8 of 8