G5 U8 Constructed Response
Name: ________________________________________ Date:_______________
Grade 5 Unit 8 Constructed Response Polygons and Volume TASK 1: Categorizing Polygons (MC: 5.G.3, 4; MP: 1, 2, 3, 4, 5, 6, 7, 8) 1. Polygons can be known by many names.
a. Can this polygon be called a right equilateral triangle? Why or why not?
b. Can this polygon be called a rhombus? Why or why not?
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 1, Page 1
c. List all the names for this polygon.
d. List all the names for this polygon.
Copyright © Swun Math Grade 3 Unit 9 Constructed Response, Task 1 Page 2
2. On a math task, Maria classified the polygons into this Venn diagram and wrote an explanation.
The circle on the left has right triangles. The circle on the right has isosceles triangles. The overlapping part in the middle has isosceles right triangles because they belong in both categories. The polygons outside the Venn diagram are not triangles.
Has Maria classified and named the triangles correctly? Explain.
Copyright © Swun Math Grade 3 Unit 9 Constructed Response, Task 1 Page 3
3. a. Complete the Hierarchy of Quadrilaterals by writing in the name and drawing a model of each category of quadrilateral.
Quadrilaterals
Name: ________________
Name: ________________
Name: ________________
Name: ________________
Name: ________________
Name: ________________
b. Write a true statement about the sides and angles of all quadrilaterals.
c. Are all squares parallelograms? Are all parallelograms square? Explain.
Copyright © Swun Math Grade 3 Unit 9 Constructed Response, Task 1 Page 4
Name: ________________________________________ Date:_______________
Grade 5 Unit 8 Constructed Response Polygons and Volume TASK 2: Volume of Rectangular Prisms (MC: 5.MD.5ab; MP: 1, 2, 3, 6, 7, 8) 4. Cyrus, Darian, and Farzin each bought used fish tanks from the pet store at their going-out-of-business sale. Each tank was a different rectangular prism.
Cyrus’s Tank
Darian’s Tank
Farzin’s Tank
a. Which tank has the greatest volume in cubic units? Show your work.
b. What is the total volume of all three tanks?
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 5
5. a. Use the area formula to find the area of this box. Show your work.
8 in
4 in 6 in
b. How many 2 in × 2 in × 2 in cubes can be stored inside this box? Show your work.
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 6
6. Marquesh was asked to find the length of this rectangular prism that has a volume of 108 yd3.
3 yd 4 yd
Here is his work. V=l×w× h V = 4 yd × 3 yd × 108 yd V = 1,296 yd3 a. Explain Marquesh’s error.
b. Find the correct answer. Show your work.
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 7
Name: ________________________________________ Date:_______________
Grade 5 Unit 8 Constructed Response Polygons and Volume TASK 3: Volume of 3-Dimensional Complex Figures (MC: 5.MD.3b, 4, 5bc; MP: 1, 2, 3, 6, 7, 8) 7. This is a sketch (in feet) of the corner planter box Mr. Hartzog built for the corner of his patio.
a. Mr. Hartzog purchased 140 ft3 of dirt to fill the planter box. Does he have enough? Explain your thinking.
b. He plans to build planter box on the other side of his patio. It will have the same dimensions, except that it will be two feet tall. What will be the total volume of both planters?
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 8
8. Jazmin wants to cast the letter E in chocolate for Eli’s birthday cake. These are the dimensions of the mold.
6 cm 3 cm
2 cm
4 cm
a. How much chocolate will it take to fill the mold? Show your work.
b. Explain how you found your answer.
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 9
9. Students were asked to find the volume of each of these figures in meters.
Figure A
Figure B
a. Marlin found the volume of Figure A this way. Volume of Whole
Volume of Missing
Rectangular Prism
Rectangular Prism
V=l×w×h
V=l×w×h
V=6× 3× 6
V=4× 1× 2
V = 108 m2
V = 8 m2 Volume of Figure A
108 m2 – 8 m2 = 100 m2
Is Marlin’s work accurate? Explain.
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 10
b. Find the volume of Figure B. Show your work.
c. Explain how you found the volume of Figure B.
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 11
Grade 5 Unit 8 Constructed Response Polygons and Volume TASK 1: Categorizing Polygons (MC: 5.G.3, 4; MP: 1, 2, 3, 4, 5, 6, 7, 8) 1. Polygons can be known by many names.
a. Can this polygon be called a right equilateral triangle? Why or why not?
b. Can this polygon be called a rhombus? Why or why not?
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 1, Page 1
c. List all the names for this polygon.
d. List all the names for this polygon.
Copyright © Swun Math Grade 3 Unit 9 Constructed Response, Task 1 Page 2
2. On a math task, Maria classified the polygons into this Venn diagram and wrote an explanation.
The circle on the left has right triangles. The circle on the right has isosceles triangles. The overlapping part in the middle has isosceles right triangles because they belong in both categories. The polygons outside the Venn diagram are not triangles.
Has Maria classified and named the triangles correctly? Explain.
Copyright © Swun Math Grade 3 Unit 9 Constructed Response, Task 1 Page 3
3. a. Complete the Hierarchy of Quadrilaterals by writing in the name and drawing a model of each category of quadrilateral.
Quadrilaterals
Name: ________________
Name: ________________
Name: ________________
Name: ________________
Name: ________________
Name: ________________
b. Write a true statement about the sides and angles of all quadrilaterals.
c. Are all squares parallelograms? Are all parallelograms square? Explain.
Copyright © Swun Math Grade 3 Unit 9 Constructed Response, Task 1 Page 4
Name: ________________________________________ Date:_______________
Grade 5 Unit 8 Constructed Response Polygons and Volume TASK 2: Volume of Rectangular Prisms (MC: 5.MD.5ab; MP: 1, 2, 3, 6, 7, 8) 4. Cyrus, Darian, and Farzin each bought used fish tanks from the pet store at their going-out-of-business sale. Each tank was a different rectangular prism.
Cyrus’s Tank
Darian’s Tank
Farzin’s Tank
a. Which tank has the greatest volume in cubic units? Show your work.
b. What is the total volume of all three tanks?
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 5
5. a. Use the area formula to find the area of this box. Show your work.
8 in
4 in 6 in
b. How many 2 in × 2 in × 2 in cubes can be stored inside this box? Show your work.
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 6
6. Marquesh was asked to find the length of this rectangular prism that has a volume of 108 yd3.
3 yd 4 yd
Here is his work. V=l×w× h V = 4 yd × 3 yd × 108 yd V = 1,296 yd3 a. Explain Marquesh’s error.
b. Find the correct answer. Show your work.
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 7
Name: ________________________________________ Date:_______________
Grade 5 Unit 8 Constructed Response Polygons and Volume TASK 3: Volume of 3-Dimensional Complex Figures (MC: 5.MD.3b, 4, 5bc; MP: 1, 2, 3, 6, 7, 8) 7. This is a sketch (in feet) of the corner planter box Mr. Hartzog built for the corner of his patio.
a. Mr. Hartzog purchased 140 ft3 of dirt to fill the planter box. Does he have enough? Explain your thinking.
b. He plans to build planter box on the other side of his patio. It will have the same dimensions, except that it will be two feet tall. What will be the total volume of both planters?
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 8
8. Jazmin wants to cast the letter E in chocolate for Eli’s birthday cake. These are the dimensions of the mold.
6 cm 3 cm
2 cm
4 cm
a. How much chocolate will it take to fill the mold? Show your work.
b. Explain how you found your answer.
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 9
9. Students were asked to find the volume of each of these figures in meters.
Figure A
Figure B
a. Marlin found the volume of Figure A this way. Volume of Whole
Volume of Missing
Rectangular Prism
Rectangular Prism
V=l×w×h
V=l×w×h
V=6× 3× 6
V=4× 1× 2
V = 108 m2
V = 8 m2 Volume of Figure A
108 m2 – 8 m2 = 100 m2
Is Marlin’s work accurate? Explain.
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 10
b. Find the volume of Figure B. Show your work.
c. Explain how you found the volume of Figure B.
Copyright © Swun Math Grade 5 Unit 8 Constructed Response, Task 2 Page 11
