perimeter’ - roper 5th grade math block

Name: _______________________________________ Date: __________________

© Lincoln Public Schools, 2014 5th Grade Math

Chapters 16 & 17 Perimeter and Area,

Solid Figures

HW 16.1 Perimeter Practice to review…I can find the perimeter of rectangles and squares!

Perimeter is the distance around a plane figure.

I can find the perimeter of a rectangle! I can find the perimeter of a square!

𝑃 = 2𝑙 + 2𝑤

𝑃 = 2 + 2

𝑃 = +

𝑃 =

𝑃 = 4𝑠

𝑃 = 4

𝑃 =

Practice to remember… Find the perimeter. Don’t forget to label your answer!

1.

2.

3.

_________________ _________________ _________________

Find the missing side length.

4.

5.

6.

_________________ _________________ _________________

Answer the question. Explain your thinking.

7. Braden’s room is twice as long as it is wide. Find the perimeter of Braden’s room.

𝑃 = 28 m 𝑃 = 20 in.

𝑃 = 48 cm

Name: _______________________________________ Date: __________________



Solid Figures

RE 16.1 Remembering Practice for fluency… 8. Find the product.

0.17 • 0.3

9. Omar gets an allowance of $15 per week. He saves 0.2 of it. How much does Omar have left to spend?

a. 51 b. 5.1 a. $3 b. $0.30

c. 0.51 d. 0.051 c. $9 d. $12

Divide.

10. 8.4÷ 7 = 12. !6 43.2 13. !5 28.15

11. 5.4÷ 6 =

Answer each question. Explain your thinking.

14. The two triangles are congruent. The second triangle has the angles 𝑋, 𝑌, and 𝑍.

Label ∆𝑋𝑌𝑍 so that:

! 𝐷𝐸 ≅ 𝑋𝑌 ! 𝐸𝐹 ≅ 𝑌𝑍 ! 𝐹𝐷 ≅ 𝑍𝑋

15. How can you use multiples of 10 to find 34 • 70? Explain.

Name: _______________________________________ Date: __________________



Solid Figures

HW 16.3A Area Practice to review…I can find the area of rectangles! Area is the number of square units 𝑢! needed to cover a plane figure with no overlap.

I can find the area of a rectangle! I can find the area of a square!

𝐴 = 𝑙𝑤

𝐴 =

𝐴 =

𝐴 = 𝑠!

𝐴 = !

𝐴 =

I can also use the Distributive Property and mental math to find the area of rectangles. Here are two examples of ways I could use the Distributive Property to find the area of a 5 × 16 rectangle.

I can break it into a 5 × 10 part and a 5 × 6 part. I can break it into two 5 × 8 parts.

𝐴 = 5 × + 5 ×

𝐴 = +

𝐴 =

𝐴 = 5 × + 5 ×

𝐴 = +

𝐴 =

Practice to remember… Find the area. Don’t forget to label your answer!

1.

__________________

2.

_________________

3.

__________________

4.

_________________

Name: _______________________________________ Date: __________________



Solid Figures

RE 16.3A Remembering Practice for fluency… Classify each triangle in two ways.

5.

a. right, isosceles 6.

a. acute, scalene

b. right, scalene b. acute, equilateral

c. scalene, isosceles c. acute, isosceles

d. acute, isosceles d. obtuse, isosceles

Estimate each product.

7. 175 • 0.482 ___________ 12. 2.2 • 61 ___________

8. 92 • 0.32 ___________ 13. 518 • 0.412 ___________


14. Donnie saves $5 each week for 𝑛 weeks from his babysitting money. If he spends $18 of his savings on comic books and has $2 left, how many weeks did he save his money? Show how you know.

15. If every square is a rectangle, is every rectangle also a square? Explain.

Name: _______________________________________ Date: __________________



Solid Figures

HW 16.3B Area Practice to review…I can find the area of rectangles! Area is the number of square units 𝑢! needed to cover a plane figure with no overlap.

I can find the area of a rectangle! I can find the area of a square!

𝐴 = 𝑙𝑤

𝐴 =

𝐴 =

𝐴 = 𝑠!

𝐴 = !

𝐴 =

Practice to remember… Find the area. Don’t forget to label your answer!

1.

__________________

2.

_________________

3.

__________________

4.

_________________

5.

__________________

6.

_________________

Follow the directions.

7. Sketch at least two different rectangles that have an area of 24 cm!. Be sure to label the length and width of each rectangle you draw. Tell how you know the rectangles are not congruent.

Name: _______________________________________ Date: __________________



Solid Figures

RE 16.3B Remembering Practice for fluency… 8. Mike works 6 !

! hours each day. How

many hours does he work in 3 days? 12. Mark and Diane spent 56 !

! days researching a project

at work. They each spent an equal amount of time on the project. How many days did each spend?

a. 15 !! hours a. 28 days

b. 18 hours b. 28 !! days

c. 18 !! hours c. 30 days

d. 20 !! hours d. 112 !

! days

Name each figure.

9.

_________________ 13.

_________________

10.

_________________ 14.

_________________


15. Draw and label diameter 𝑃𝑄 and radius 𝑅𝑂 on circle 𝑂. You may need to add new points. Explain the difference between a diameter and a radius.

16. Use the data from the table. Which team has the highest hitting average? Show how you know.

Name: _______________________________________ Date: __________________



Solid Figures

HW 17.1A Solid Figures Practice to review…I can identify 3-‐dimensional figures! Solid figures have three dimensions: length, width, and height.

A _______________ is a 3-‐dimensional figure that has two parallel congruent bases and parallelograms for faces. Prisms are named by the shape of their bases.

A _______________ is a 3-‐dimensional figure that has one base that can be any polygon. The other faces of a pyramid are all triangles that meet at a single vertex.

A ______________ is a flat surface of a figure. It may be the base or a side of a solid figure.

An ______________ is the line segment formed where two faces meet.

A ______________ is the point formed where three or more edges meet.

Practice to remember… Name each solid figure. Then write the number of faces, vertices, and edges.

1. ____________________________________ 2. ___________________________________

_________ faces

_________ vertices

_________ edges

________ faces

________ vertices

________ edges

3. ____________________________________ 4. ___________________________________

_________ faces

_________ vertices

_________ edges

________ faces

________ vertices

________ edges

Name: _______________________________________ Date: __________________



Solid Figures

RE 17.1A Remembering Practice for fluency… Multiply.

5. 0.18 • 0.05 6. 0.006 • 4

a. 0.0009 b. 0.09 a. 0.00024 b. 0.024

c. 0.009 d. 0.9 c. 0.0024 d. 0.240

Evaluate each expression.

7. 2938+ 24

3348

_________________ 8. 2938− 24

3348

_________________

9. 500÷1200

_________________ 10. 20 •14

_________________


11. Lucas has 18 coins—pennies, nickels, and dimes—in his pocket. There are three times as many pennies as dimes and twice as many nickels as dimes. The number of each coin is divisible by 3, and the number of nickels is also divisible by 2. How many of each coin does Lucas have? Show how you know.

12. Draw a quadrilateral that has only two sides parallel. What kind of quadrilateral is it?

Name: _______________________________________ Date: __________________



Solid Figures

HW 17.1B Solid Figures Practice to review…I can identify 3-‐dimensional figures! Solid figures have three dimensions: length, width, and height.

A _______________ is a 3-‐dimensional figure that has two parallel congruent bases and parallelograms for faces. Prisms are named by the shape of their bases.

A _______________ is a 3-‐dimensional figure that has one base that can be any polygon. The other faces of a pyramid are all triangles that meet at a single vertex.

A ______________ is a flat surface of a figure. It may be the base or a side of a solid figure.

An ______________ is the line segment formed where two faces meet.

A ______________ is the point formed where three or more edges meet.

Practice to remember… Name each solid figure. Then write the number of faces, vertices, and edges.

1. ____________________________________ 2. ___________________________________

_________ faces

_________ vertices

_________ edges

________ faces

________ vertices

________ edges

3. ____________________________________ 4. ___________________________________

_________ faces

_________ vertices

_________ edges

________ faces

________ vertices

________ edges

Answer the question. Explain your thinking.

5. Michaela says that any rectangular prism that has a square base must be a cube. Is she correct? Explain.

Name: _______________________________________ Date: __________________



Solid Figures

RE 17.1B Remembering Practice for fluency… Multiply.

6. 1.3 • 0.6 7. 17 •

78

a. 0.78 b. 1.36 a. !!" b. !

!

c. 7.8 d. !"!" c. !

!" d. !

!

Evaluate each expression.

8. 23+

19

_________________ 9. 910−

25

_________________

10. 34+

310

_________________ 11. 34−

13

_________________


12. Michele said that the figure below should be labeled 𝐹𝐸. Is Michele correct? Explain.

13. Can two rectangles have the same perimeter but different areas? Give an example.

Name: _______________________________________ Date: __________________



Solid Figures

HW 17.3 Nets Practice to review…I can identify the nets of solid figures! A net is a flat pattern that can be folded into a solid figure.

Prisms have two congruent bases that can be any polygon and parallelograms for the other faces.

Pyramids have a base that can be any polygon and triangles for the other faces.

Some solids have curved surfaces. Cone

Cylinder

Practice to remember… Predict what shape each net will make.

1. ____________________________________ 2. ___________________________________

3. ____________________________________ 4. ___________________________________

Name: _______________________________________ Date: __________________



Solid Figures

RE 17.3 Remembering Practice for fluency… Multiply.

5. 2 × 2.5 6. 3 × 3.5

a. 4 b. 4.5 a. 1.05 b. 10.5

c. 5 d. 5.5 c. 95 d. 105

The graph shows the high and low temperatures for one week. Use the graph to answer the questions.

7. Which day had the least difference between the high and low temperatures? _______________________

8. Which day had the highest temperature? _______________________

9. Which day had the lowest temperature? _______________________


10. Find 𝑛.

1, 2, 9, 9, 10, 11,𝑛

range: 13

median: 9

mode: 9

mean: 8

11. If a right angle is split in half, how can the two new angles be classified? What is the measure of each angle?

Name: _______________________________________ Date: __________________



Solid Figures

HW 17.6

Volume Practice to review…I can use cubic units to find the volume of a rectangular prism! Volume is the measure of the amount of space occupied by an object. Volume is recorded in cubic units 𝑢! .

Each layer of this rectangular prism is 4 cubes by 2 cubes. There are 4 × 2 cubic units in each layer.

There are _____ layers, so there are 4 × 2 × cubic units in this rectangular prism.

𝑉 = u!

1 layer ¨

Practice to remember… Find the volume of each rectangular prism. Think about layers of cubes!

1.

2.

3.

4.

5.

6.

𝑉 = 𝑉 =

𝑉 = 𝑉 =

𝑉 = 𝑉 =

Name: _______________________________________ Date: __________________



Solid Figures

RE 17.6 Remembering Practice for fluency… 7. Round 0.286 to the nearest hundredth. 8. Evaluate 𝑤 − 9 when 𝑤 = 17.

a. 0.3 b. 0.28 a. 26 b. 8

c. 0.29 d. 0.2 c. 9 d. 7

Multiply.

9. 23 ×

34

_________________ 10. 13 ×

16

_________________

11. 2 × 13

_________________ 12. 3 × 138

_________________


13. Beth spent !! of her money on guitar strings, !

! of her money on guitar picks, and the remaining $15

on a guitar tuner. How much money did Beth have before buying guitar accessories? Show how you know.

14. The width of a rectangle is 7.5 in. The length is twice that. What is the perimeter of the rectangle? Show how you know.

perimeter’ - roper 5th grade math block

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