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GRADE 7 MATHEMATICS (7.8) Geometry and spatial reasoning. The student uses geometry to model and describe the physical world. The student is expected to: (A) sketch three-dimensional figures when given the top, side, and front views. TEKSING TOWARD TAKS © 2006 Page 1 Sketch a three-dimensional figure that has front, top and right side views shown below. 1. What mathematical concepts and vocabulary do I need to know to be able to work this problem? 2. Will the Grade 7 Mathematics Formula Chart be helpful on this problem? Why or why not? 3. What problem-solving strategy or strategies will I use to help solve this problem? 4. Extension (7.9A): If each cube used to create the figure has a volume of 1 cubic unit, what is the volume of the figure you sketched? Top Front Right Side

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GRADE7MATHEMATICS 4. Extension(7.9A): Ifeachcubeusedtocreatethefigurehasavolumeof1cubicunit,whatis thevolumeofthefigureyousketched? 2. WilltheGrade7MathematicsFormulaChartbehelpfulonthisproblem?Whyorwhynot? Sketchathree-dimensionalfigurethathasfront,topandrightsideviewsshownbelow. 3. Whatproblem-solvingstrategyorstrategieswillIusetohelpsolvethisproblem?

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Page 1: 10-7.8A

GRADE 7 MATHEMATICS(7.8) Geometry and spatial reasoning. The student uses geometry to model and describe the physical world. The student is expected to:(A) sketch three-dimensional figures when given the top, side, and front views.

TEKSING TOWARD TAKS © 2006 Page 1

Sketch a three-dimensional figure that has front, top and right side views shown below.

1. What mathematical concepts and vocabulary do I need to know to be able to work thisproblem?

2. Will the Grade 7 Mathematics Formula Chart be helpful on this problem? Why or why not?

3. What problem-solving strategy or strategies will I use to help solve this problem?

4. Extension (7.9A): If each cube used to create the figure has a volume of 1 cubic unit, what isthe volume of the figure you sketched?

Top Front Right Side

Page 2: 10-7.8A

GRADE 7 MATHEMATICS(7.8) Geometry and spatial reasoning. The student uses geometry to model and describe the physical world. The student is expected to:(A) sketch three-dimensional figures when given the top, side, and front views.

TEKSING TOWARD TAKS © 2006 Page 2

Sketch a three-dimensional figure that has front, top andright side views shown below.

Top Front Right Side

Page 3: 10-7.8A

GRADE 7 MATHEMATICS(7.8) Geometry and spatial reasoning. The student uses geometry to model and describe the physical world. The student is expected to:(A) sketch three-dimensional figures when given the top, side, and front views.

TEKSING TOWARD TAKS © 2006 Page 3

Which figure is represented by these top, front, and side views?

Which figure is represented by these top, front, and side views?

Top Front Right Side Left Side

A

D

C

B

Front

Front

Front

Front

Top Front Right Side Left Side

Front Front

D

FrontFront

B

CA

Page 4: 10-7.8A

GRADE 7 MATHEMATICS(7.8) Geometry and spatial reasoning. The student uses geometry to model and describe the physical world. The student is expected to:(A) sketch three-dimensional figures when given the top, side, and front views.

TEKSING TOWARD TAKS © 2006 Page 4

Which figure has front, top and side views shown below?

Which figure has front, top and side views shown below?

Front Top Side

C

Front

A

Front

B

Front

D

Front

D

Front

C

Front

B

Front

A

Front

FrontTop Side

Page 5: 10-7.8A

GRADE 7 MATHEMATICS(7.8) Geometry and spatial reasoning. The student uses geometry to model and describe the physical world. The student is expected to:(A) sketch three-dimensional figures when given the top, side, and front views.

TEKSING TOWARD TAKS © 2006 Page 5

Which figure has the following views?

The top, side, and front views of an object are shown below.

Which of the following figures could be represented by the views above?

Top Front Side

FrontFront

Front

Front

A

B

C

D

TopFront Side

A

B

C

D


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