Grade 7 Work Sta On Area Of Composite Figures

Grade 7 Work StaƟonArea of Composite onWeek

Center 7: Area of Composite FiguresReporting Category 3, TEKS 7(9)(C)Folder tab label:Cover:RC 3 TEKS 7(9)(C)Area of Composite FiguresReporting Category 3Geometry and MeasurementTEKS 7(9)(C)Area ofComposite FiguresContent ObjectiveI can solve problems involving the area of composite figures.Language ObjectiveI can explain the relationships between dimensions of figures that make a composite figure.Key Questions1. What does it mean to measure to the nearest half inch?2. How could you decompose a composite figure to determine its area?STAAR Review To Go: Grade 7 2016 Region 4 Education Service CenterAll Rights Reserved

Center 7: Area of Composite FiguresReporting Category 3, TEKS 7(9)(C)Composite Figures InstructionsTask 1: Create a Figure Distribute the Two-dimensional Figures to each member of the group so that eachperson receives 3 figures of the same color. Use the 3 figures you received to create a composite figure. Trace the perimeter of yourfigure onto the paper provided. Return the Two-dimensional Figures to the bag.Task 2: Decomposing Figures Complete the statements using the Word Bank and Reference Materials. Wipe the statements to remove your answers before you leave the station.Task 3: Area of Composite Figures Use the ruler on the Reference Materials to measure and record the dimensions of thecomposite figure you created to the nearest half inch. Determine the area of the composite figure you created. Trade your paper with a group member and verify that your partner’s solution is correct.Task 4: Assessment Read and work through the assessment question.Task 4: AssessmentThis model of a race track is composed of a rectangle and two semicircles. Use the rulerprovided to measure the dimensions of the model to the nearest half inch.Which measurement is closest to the area of the model of the race track in square inches?A6.57 in.2B15.28 in.2C8.14 in.2D 11.28 in.2STAAR Review To Go: Grade 7 2016 Region 4 Education Service CenterAll Rights Reserved

Center 7: Area of Composite FiguresReporting Category 3, TEKS 7(9)(C)NOTE: Provide blank paperand Reference Materialsfor this station.Task 1Two-dimensional Figures(6 green figures and6 yellow figures)Please do not writeon the cards.Task 2: Decomposing FiguresWord Bankwords may be repeatedbasediameterisosceles trianglemeasuresidesquaresemicirclesumUse the Word Bank and the Reference Materials as needed to describe how to determine thearea of the composite figure shown above.Decompose the figure into an ,a , and a . The ofthe square and the of the isosceles triangle have the same. The of the square and theof the semicircle have the same .Determine the area of the isosceles triangle using the formula .Determine the area of the square using the formula .Determine the area of the using the formula A π r22.Determine the of the areas of the component parts.STAAR Review To Go: Grade 7 2016 Region 4 Education Service CenterAll Rights Reserved

Center 7: Area of Composite FiguresReporting Category 3, TEKS 7(9)(C)On green cardstockSTAAR Review To Go: Grade 7 2016 Region 4 Education Service CenterAll Rights Reserved

Center 7: Area of Composite FiguresReporting Category 3, TEKS 7(9)(C)On yellow cardstockSTAAR Review To Go: Grade 7 2016 Region 4 Education Service CenterAll Rights Reserved

Center 7: Area of Composite FiguresReporting Category 3, TEKS 7(9)(C)Answer KeyTask 1Possible composite figure:Task 2Decompose the figure into an isosceles triangle, a square, and a semicircle. The side ofthe square and the base of the isosceles triangle have the same measure. The side of thesquare and the diameter of the semicircle have the same measure.1bh.2Determine the area of the isosceles triangle using the formula A Determine the area of the square using the formula A bh.Determine the area of the semicircle using the formula A πr 2.2Determine the sum of the areas of the component parts.Task 3FigureDimensionsAreaIsosceles Triangleb 2 in., h 2.5 in.2.5 in.2Rectanlgeb 2 in., h 2.5 in.5 in.2Semicircled 2 in. 1.57 in.2Quarter Circler 1 in. 0.785 in.2Parallelogramb 2 in., h 1.5 in.3 in.2Trapezoidb1 1 in., b2 2.5 in., h 1.5 in.2.625 in.2Area of sample composite figure shown above:Area of Semicircle 1.57 in.2Area of Rectangle 5 in.212.5( Area of Isosceles Triangle ) 2 1.25 in.22Total Area ofSample Composite Figure:7.82 in.2Task 4: CSTAAR Review To Go: Grade 7 2016 Region 4 Education Service CenterAll Rights Reserved

Task 3: Area of Composite Figures Use the ruler on the Reference Materials to measure and record the dimensions of the composite figure you created to the nearest half inch. Determine the area of the composite figure you created. Trade your paper with a group member and verify that your partner’s solution is correct.