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PMI – 3rd GradeShapes & Perimeter Unit

Name _________________

Area

Classwork

Write the area for questions 1-3.

1.

A= ___________

2.

A= ___________

3.

A= ___________

4. Draw a rectangle with the area of 5.

5. Draw a square with the area of 25.

6. What is the area of a rectangle that has a length of 5ft and a width of 4ft?

NJ Center for Teaching and Learning ~ 1 ~ www.njctl.org


Name _________________

Area

Homework

Write the area for questions 1-3.

1.

A= ___________

2.

A= ___________

3.

A= ___________

4. Draw a rectangle with the area of 10.

5. Draw a square with the area of 16.



6. What is the area of a rectangle that has a length of 8 inches and a width of 2 inches?

Name _________________

Area

Classwork

1. What is the area of a square whose length is 5 inches?

2. What is the area of a rectangle that measures 4 inches wide and 9 inches long?

3. What is the length of a rectangle if the area is 14 square feet and the width is 2 feet?

4. What is the length of one side if the area of a square is 49 squared units?

Find the area of the following figures.



5. ____________ 6. ____________ 7. __________ 8. ___________


6 in.

3 in.

8 cm. 10 m.

2 mm.

9 mm.


Name _________________

Area

Homework

1. What is the area of a rectangle that has a length of 2 feet and a width of 4 feet?

2. What is the area of a square whose side measures 6 inches?

3. What is the length of one side if a square has an area of 81 squared units?

4. What is the width of a rectangle if the length is 10 cm. and the area is 50 cm2?

Find the area of the following figures.

5. ____________ 6. ____________ 7. __________ 8. ___________


5 cm. 9 cm. 1 m.4 mm.

8 m.5 cm.


Name _________________

Area

Classwork

1. Beth’s dinner table measures 5 feet by 3 feet. What is the area of her dinner table?

2. Chris’s poster 3 feet long and 4 feet wide. What is the area of the poster?

3. A rectangle has a length of 9 units and a width of 3 units. What is the area?

4. Theresa wants to cut a piece of paper into a rectangle. She needs the area to be 72 square units. What are some possible dimensions for the rectangle that will make it 72 square units?

5. Harry has two pieces of square paper. A side measures 6 cm. What is the area of the two pieces of paper?



Name _________________

Area

Homework

1. Jessica’s yoga mat measures 6 feet by 3 feet. What is the area of the mat?

2. Kristina made a poster for a project that was assigned in her math class. It measures 9 inches long and 10 inches wide. What is the area of the poster?

3. A square has an area of 100 cm2. What is the measure of one side of the square?

4. Brandi works with picture frames. She wants to make a frame that is 84 square units. What are some possible dimensions for the picture frame?

5. Daniel has two pieces of construction paper. One piece measures 10 inches by 8 inches. The other piece measures 8 inches by 9 inches. What is the total area of the two pieces of construction paper?



Name _________________

Perimeter

Classwork

Write the perimeter for questions 1-3.

1.

P= ___________

2.

P= ___________

3.

P= ___________

4. Draw a rectangle with the perimeter of 6.

5. What is the perimeter of a rectangle that has a length of 5ft and a width of 4ft?



Name _________________

Perimeter

Homework

Write the perimeter for questions 1-3.

1.

P= ___________

2.

P= ___________

3.

P= ___________

4. Draw a rectangle with the perimeter of 10.

5. What is the perimeter of a rectangle that has a length of 8 inches and a width of 2 inches?



Name _________________

Perimeter

Classwork

1. A farmer wants to put a fence around a plot of land. It is 100 feet long and 50 feet wide. What is the perimeter of this plot of land?

2. Matthew’s room is 12 feet long and 14 feet wide. What is the perimeter of his room?

3. A house is on a lot that is shaped like a square. A side of the lot measures 50 feet long. What is the perimeter of the lot?

4. Will is planting a rectangular shaped garden. It is 2 meters long and 3 meters wide. What is the perimeter of the garden?

5. The Pentagon building in Washington, D.C. is a building that has five sides. Each side measures 920 feet. What is the perimeter of the building?



Name _________________

Perimeter

Homework

1. Sonya’s classroom is 22 feet long and 20 feet wide. What is the perimeter of Sonya’s classroom?

2. Rose wants to plant rose bushes around her house. Her house is 12 meters long and 11 meters wide. What is the perimeter of her house?

3. Henry wanted to find out the perimeter of his living room at home. It measured 20 feet long and 15 feet wide. What is the perimeter of Henry’s living room?

4. The Empire state building is 420 feet wide and 185 feet long. What is the perimeter of the Empire State building?

5. A triangle has 2 sides that measure 4 feet and one side that measures 3 feet. What is the perimeter of the triangle?



Name _________________

Perimeter

Classwork

1. A house has a perimeter of 40 yards. If the width of the house is 10 feet, what is the length of the house?

2. A triangle has a perimeter of 90 inches. The measures of the sides are equal. What is the length of one side?

3. A rectangle has a perimeter of 32 feet. The length measures 8 feet. What is the width?

4. Bill has a deck behind his house that has a perimeter of 72 feet. It is 20 feet long. What is the width of the deck?

5. Phil wants to build a patio behind his house that has a perimeter of 54 feet. What are the possible dimensions for his new patio?



Name _________________

Perimeter

Homework

1. An office building has a perimeter of 50 meters. The length is 15 meters. What is the width?

2. A desk has a perimeter of 140 inches. It measures 25 inches wide. What is the length?

3. A square has a perimeter of 84 cm. What is the length of one side of the square?

4. Shawna wants to make a rectangular garden that is 24 feet around. What are the possible dimensions for her garden?

5. A piece of paper has a perimeter of 22 inches. It is 5 inches long. What is the width?



Name ________________________________

Lines, Rays, and Line Segments

Classwork

Label each pair of lines as a ray, line, or line segment.

1. 2. 3. 4.

5. 6. 7. 8.

Draw an example of each in the boxes below.

9. Ray 10. Line 11. Line Segment

12. Circle the line segment. Place an x over the line. Underline the ray.



Name ________________________________

Lines, Rays, and Line Segments

Homework

Label each pair of lines as a ray, line, or line segment.

1. 2. 3. 4.

5. 6. 7. 8.

Draw an example of each in the boxes below.

9. Line 10. Line Segment 11. Ray

12. Circle the line. Place an x over the ray. Underline the line segment.



Name ________________________________

Lines, Rays, Line Segment

Classwork

Determine if the statement is true or false.

1. A line has two endpoints. ________________________________

2. A ray has only one endpoint. ________________________________

3. A line segment goes on forever. ________________________________

4. A ray is a type of line. ________________________________

5. A line segment has two endpoints. ________________________________

6. A line goes on forever. ________________________________

7. A ray has only one endpoint. ________________________________

Draw a line, ray, or line segment.

8. Line AB

9. Ray XY

10. Line segment CD

11. Line MN



Name ________________________________

Lines, Rays, Line Segment

Homework

Determine if the statement is true or false.

1. A line segment has only one endpoint. ________________________________

2. A line does not have two endpoints. ________________________________

3. A line segment is the same as a ray. ________________________________

4. A ray is made up of two line segments. ________________________________

5. A ray has two endpoints. ________________________________

6. A line can have one endpoint. ________________________________

7. A ray has one side that goes on forever. ________________________________

Draw a line, ray, or line segment.

8. Line segment OP

9. Line YZ

10. Ray AB

11. Ray KL



Name ________________________________

Angles

Classwork

Label each angle as acute, right, or obtuse.

1. 2. 3. 4.

________________ ________________ ________________ ________________

5. 6. 7. 8.

________________ ________________ ________________ ________________

Draw the correct angles.

9. Obtuse angle

10. Right angle

11. Acute angle



Name ________________________________

Angles

Homework

Label each angle as acute, right, or obtuse.

1. 2. 3. 4.

________________ ________________ ________________ ________________

5. 6. 7. 8.

________________ ________________ ________________ ________________

Draw the correct angles.

9. Acute angle

10. Obtuse angle

11. Right angle



Name ________________________________

Angles

Classwork

The following are measurements of different angles. Determine if the angle is an acute, an obtuse, or a right angle.

1. 93⁰ ________________________________

2. 43⁰________________________________

3. 100⁰________________________________

4. 20⁰________________________________

5. 60⁰________________________________

6. 110⁰________________________________

7. 90⁰________________________________

Give two possible measurements for each type of angle.

7. Obtuse angle. ________________________________

8. Acute angle. ________________________________



Name ________________________________

Angles

Homework

The following are measurements of different angles. Determine if the angle is an acute, an obtuse, or a right angle.

1. 27⁰________________________________

2. 23⁰________________________________

3. 90⁰________________________________

4. 120⁰________________________________

5. 16⁰________________________________

6. 91⁰________________________________

7. 46⁰________________________________

Give two possible measurements for each type of angle.

9. Obtuse angle. ________________________________

10. Acute angle. ________________________________



Name ________________________________

Parallel and Intersecting Lines

Classwork

Label each pair of lines as parallel or intersecting.

1. 2. 3. 4.

Draw a second line for each to make a pair of parallel or intersecting lines. Label them.

5. 6. 7. 8.

9. Draw two pairs of parallel lines.

a. b.

11. Draw two pairs of intersecting lines.a. b.



Name ________________________________


Homework

Label each pair of lines as parallel or intersecting.

1. 2. 3. 4.

Draw a second line for each to make a pair of parallel or intersecting lines. Label them.

5. 6. 7. 8.

9. Draw two pairs of intersecting lines.

a. b.

10. Draw two pairs of parallel lines.

a. b.



Name ________________________________


Classwork

1. Circle the picture that shows parallel lines.

2. Circle the picture that shows intersecting lines.

3. Name some objects you might see in real life that have parallel lines.



Name ________________________________


Homework

1. Circle the picture that shows parallel lines.

2. Circle the picture that shows intersecting lines.

3. Name some objects you might see in real life that have intersecting lines.



Name _________________

Polygons

Classwork

1. Circle the shape that is not a polygon.

Explain why the shape that you circle is not a polygon.

__________________________________________________________________________________________________________________________________________________________________________

Fill in the blanks for each polygon.

WORD BANK Triangle Quadrilateral

Pentagon Square Octagon

2. 3. 4.

5.

Name___________ Name___________ Name___________

Number of sides___ Number of sides___ Number of sides___

Pairs of Parallel Sides ____ Pairs of Parallel Sides ____ Pairs of Parallel Sides

Number of right angles ____ Number of right angles ____ Number of right angles

5.

Name___________ 6. What polygon was not used in the word bank? Draw a picture of one in the box below.

Number of sides___



Pairs of Parallel Sides ____

Number of right angles ____

Name _________________

Polygons

Homework

1. Circle the shape that is not a polygon.

Explain why the shape that you circle is not a polygon.

__________________________________________________________________________________________________________________________________________________________________________

Choose the correct name from the box for each shape.

WORD BANK Hexagon Triangle

Rectangle Pentagon Octagon

2. 3. 4.

Name___________ Name___________ Name___________

Number of sides___ Number of sides___ Number of sides___

Pairs of Parallel Sides ____ Pairs of Parallel Sides ____ Pairs of Parallel Sides

Number of right angles ____ Number of right angles ____ Number of right angles

5.



Name___________ 6. What polygon was not used in the word bank? Draw a picture of one in the box below.

Number of sides___

Pairs of Parallel Sides ____

Number of right angles ____

Name _________________

Polygons

Classwork

Match each polygon with the correct number of sides.

1. Triangle

2. Pentagon

3. Hexagon

4. Heptagon

5. Nonagon

6. Quadrilateral

7. Dodecagon

8. Octagon

9. Decagon

a. 4 sides

b. 6 sides

c. 7 sides

d. 9 sides

e. 10 sides

f. 12 sides

g. 5 sides

h. 8 sides

i. 3 sides

10. How many sides does a quadrilateral have? Name a real life example.

11. How many sides does an octagon have? Name a real life example.



12. How many sides does a triangle have? Name a real life example.



Name _________________

Polygons

Homework

Name the polygon.

1. _________________ 2. _________________ 3. _________________

4. _________________ 5. _________________ 6. _________________

7. Which polygon has 9 sides? ___________________________________________________






Name _________________

Quadrilaterals

Classwork

Identify the quadrilateral using the words from the bank.

1. __________________ 2. __________________ 3. __________________

4. __________________ 5. __________________

Identify the correct quadrilateral. It is possible that there may be more than one answer.

6. Which quadrilateral has exactly one pair of parallel sides? __________________

7. Which quadrilateral has two pairs of parallel sides? __________________

8. Which quadrilateral has no right angles? __________________


Square Rectangle Trapezoid

Rhombus Parallelogram


Name _________________

Quadrilaterals

Homework

Identify the quadrilateral using the words from the bank.

1. __________________ 2. __________________ 3. __________________

4. __________________ 5. __________________

Identify the correct quadrilateral. It is possible that there may be more than one answer.

6. Which quadrilateral has 4 right angles? __________________

7. Which quadrilateral has opposite sides that are all equal? __________________

8. Which quadrilateral has no right angles and has two sets of sides that are different lengths?

__________________


Square Rectangle Trapezoid

Rhombus Parallelogram


Name _________________

Quadrilaterals

Classwork

Draw the correct quadrilateral.

1. Rhombus 2. Square 3. Rectangle

Describe one property for each quadrilateral:

4. Rhombus: ______________________________________________________

5. Rectangle: ______________________________________________________

6. Parallelogram: ______________________________________________________

Answer true or false.

7. A square is a type of rhombus. __________________

8. A rectangle is a type of square. __________________

9. A rhombus has 4 right angles. __________________



Name _________________

Quadrilaterals

Homework

Draw the correct quadrilateral.

1. Trapezoid 2. Parallelogram 3. Rectangle

Describe one property for each quadrilateral:

4. Trapezoid: ______________________________________________________

5. Square: ______________________________________________________

6. Rectangle: ______________________________________________________

Answer true or false.

7. A rectangle is a parallelogram. __________________

8. A trapezoid is a rectangle. __________________

9. A trapezoid always has two sets of sides that are of equal length. __________________



Shapes and Perimeter Unit Review

Name_________________

Multiple Choice – Circle the letter to the correct answer.

1. Maria has a picture that measures 4 inches wide and 3 inches long. She wants to put decorative edging around the picture. How long will the border be?a. 12 inchesb. 7 inchesc. 11 inchesd. 14 inches

2. Tony has a garden in his back yard. It is 10 feet long and 3 feet wide. What is the area of Tony’s garden?a. 20 feet2

b. 26 feet2

c. 30 feet2

d. 32 feet2

3. Which of the following is a line segment?

a.

b.

c.

4. What is the perimeter of the triangle at the right? a. 49 mb. 50 mc. 53 md. 50 m

5. What is the area of the rectangle at the right? a. 12 cm2

b. 20 cm2

c. 24 cm2

d. 30 cm2



6. Choose the answer that is false about polygons.a. Polygons are made up of at least 3 line segments.b. The sides of a polygon can intersect.c. A polygon has angles.d. A polygon must be closed.

7. Which shape is not a polygon?

a.

b.

c.

d.

8. What type of angle measures 90⁰?a. Acute angleb. Obtuse anglec. Right angle

9. What type of angle is shown at the right?a. Acute angleb. Obtuse anglec. Right angle

10. What type of angle is shown at the right?a. Acute angleb. Obtuse anglec. Right angle

11. Railroad tracks are an example of:a. Parallel linesb. Intersecting linesc. Raysd. Acute angle



12. What is the area of the rectangle at the right? a. 10 squared unitsb. 15 squared unitsc. 20 squared unitsd. 18 squared units

13. What is the area of the figure at the right? a. 6 m2

b. 9 m2

c. 12 m2

d. 15 m2

14. Kathy is installing hardware flooring in her house. The area she needs to fill is 16 ft. by 12 ft. How many 2 ft. by 2 ft. hardwood pieces does she need?a. 24 piecesb. 36 piecesc. 48 piecesd. 64 pieces

15. John is installing linoleum tiles in the kitchen. The area he needs to cover is 15 feet by 12 feet. How many 3 ft. by 3 ft. tiles does he need?a. 10 tilesb. 15 tilesc. 20 tilesd. 25 tiles

16. How many sides does a pentagon have?a. 3b. 4c. 5d. 6

17. How many sides does an octagon have?a. 5b. 6c. 7d. 8



18. What is true about a parallelogram?a. Opposite sides are parallelb. All sides are equalc. Has four right anglesd. Has only one pair of parallel lines

Short Answer – Write the answer.

19. Mira is going to put a fence around her property. Her property measures 30 feet long and 26 feet wide. How long will the fence be?

20. A square has a perimeter of 20 mm. What is the measure of one side of the square?

21. A rectangle has a perimeter of 64 inches. The width is 12 inches. What is the length?

22. Circle the shape that does not belong and explain why.



Name the following shapes and identify two properties for each shape.

23.

24.

25.

26.

Extended Constructed Response – Answer all parts of the question.

27. Candice was to paint a picture on a rectangular canvas. She wants the canvas to be at least 64 square inches in area.

a. Name 3 possible dimensions that will give an area of 64 square inches.b. Find the perimeter for each dimension you have found.



28. Karen is planting a garden. She wants to put fence around the garden. The garden’s perimeter is 40 feet and it is 6 feet long.a. What is the width of Karen’s garden?b. If Karen puts a decoration every 2 feet of fencing, how many different decorations will she

need?c. What is the area of Karen’s garden?

29. Bill is building a deck for his family in the back yard. The deck will be 48 feet around the edge. It will be 13 feet long.a. What will the width be of Bill’s new deck?b. Bill wants to hang a plant every 8 feet on the deck. How many plants will he need?c. What is the area of the new deck?



Answer Key

AreaClasswork

1. 42. 93. 124.

5.

6. 20 ft

Homework

1. 62. 123. 164.

5.

6. 16 inches

AreaClasswork

1. 25 ¿22. 36 ¿23. 7 ft4. 7 units5. 18 ¿26. 64 cm2

7. 18 mm2

8. 100 m2

Homework

1. 8 ft22. 1296 ¿23. 9 units4. 5 cm5. 25 cm2

6. 45 cm2

7. 16 mm2

8. 8 m2

AreaClasswork

1. 15 ft2

2. 12 ft2

3. 27 units24. 9 units by 8 units, 8 units by 9 units, 72

units by 1 unit, 1 unit by 72 units, 34 units by 2 units, 2 units by 34 units, 24 units by 3 units, 3 units by 24 units, 18 units by 4 units, 4 units by 18 units

5. 72 cm2

Homework

1. 18 ft22. 90 ¿23. 10 cm4. 1 unit by 84 units, 84 units by 1 unit, 42

units by 2 units, 2 units by 42 units, 28 units by 3 units, 3 units by 28 units, 21 units by 4 units, 4 units by 21 units, 14 units by 6 units, 6 units by 14 units, 12 units by 7 units, 7 units by 12 units

5. 152 ¿2

PerimeterClasswork

1. 12 in2. 16 in3. 14 units4.



5. 18 ft

Homework

1. 15 in2. 60 m3. 16 units4.

5. 20 in

PerimeterClasswork

1. 300 ft2. 52 ft3. 200 ft4. 10 m5. 4,600 ft

Homework

1. 84 ft2. 46 m3. 70 ft4. 1,210 ft5. 11 ft

PerimeterClasswork

1. 10 ft2. 30 in3. 8 ft4. 16 ft5. Answers will vary

Homework1. 10 m2. 45 in3. 21 cm4. Answers will vary5. 6 in

Lines, Rays, and Line SegmentsClasswork

1. ray2. line3. line segment4. line

5. line6. line segment7. ray8. ray

9.



Homework

1. line2. ray3. line4. line segment

5. line segment6. line7. ray8. ray

9.

Lines, Rays, and Line SegmentsClasswork

1. false2. true3. false4. false5. true6. true7. true8.

9.

10. C

D

11. N

M

Homework

1. false2. true3. false4. false5. false6. false7. true8. P

O


x

By

A


9. Z

Y

10. B

A

11. L

K

Angles

Classwork

1. Acute2. Right3. Obtuse4. Obtuse5. Obtuse6. Acute7. Acute8. Right9.

10. .

11.

Homework

1. Right2. Acute3. Right4. Obtuse5. Obtuse6. Right7. Right8. Obtuse9.

10.

11.

Angles

Classwork

1. Obtuse2. Acute3. Obtuse4. Acute5. Acute6. Obtuse7. Right8. Angle measurements greater than 90°

will vary9. Angle measurements less than 90° will

vary

Homework

1. Acute2. Acute3. Right4. Obtuse5. Acute



6. Obtuse7. Acute8. Angle measurements greater than 90°

will vary9. Angle measurements less than 90° will

vary


Classwork

1. Intersecting2. Parallel3. Parallel4. Intersecting5. Drawings will vary6. Drawings will vary7. Drawings will vary8. Drawings will vary9. Drawings will vary10. Drawings will vary

Homework

1. Parallel2. Intersecting3. Intersecting4. Intersecting5. Drawings will vary6. Drawings will vary7. Drawings will vary8. Drawings will vary9. Drawings will vary10. Drawings will vary


Classwork

1.

2. .

3. Answers will vary

Homework

1.

2.

3. Answers will vary

Polygons

Classwork

1.

2. Name: SquareNumber of sides: 4Pairs of parallel sides: 2Number of right angles: 4

3. Name: QuadrilateralNumber of sides: 4Number of parallel sides: 1Number of right angles: 0

4. Name: TriangleNumber of sides: 3Number of parallel sides: 0Number of right angles: 1

5. Name: OctagonNumber of sides: 8



Number of parallel sides: 4Number of right angles: 0

6. Pentagon

Homework

1.

2. Name: RectangleNumber of sides: 4Number of parallel sides: 2Number of right angles: 4

3. Name: HexagonNumber of sides: 6Number of parallel sides: 3Number of right angles: 0

4. Name: PentagonNumber of sides: 5Number of parallel sides: 1Number of right angles: 2

5. Name: TriangleNumber of sides: 3Number of parallel sides: 0Number of right angles: 0

6. Octagon

Polygons

Classwork

1. i

2. g3. b4. c5. d6. a7. f8. h9. e10. 4. Real life examples will vary11. 8. Real life examples will vary12. 3. Real life examples will vary

Homework

1. Pentagon2. Decagon3. Octagon4. Heptagon5. Nonagon6. Hexagon7. Nonagon8. Decagon9. Quadrilateral10. Pentagon

QuadrilateralsClasswork

1. Rectangle2. Trapezoid3. Rhombus4. Parallelogram5. Square6. Trapezoid7. Parallelogram, square, rectangle,

rhombus8. Rhombus, parallelogram, trapezoid

Homework

1. Trapezoid2. Rhombus3. Rectangle4. Square5. Parallelogram6. Square, rectangle7. Rhombus, square8. Parallelogram


.


QuadrilateralsClasswork

1.

2.

3.

4. Answers may include: no right angles, all sides are equal, or opposite sides are parallel

5. Answers may include: opposite sides have equal length, opposite sides are parallel, 4 right angles

6. Answers may include: opposite sides are parallel, opposite sides are equal length, no right angles

7. True8. False9. False

Homework

1.

2.

3.

4. Exactly one pair of parallel sides5. Answers may include: four right angles,

all sides are equal in length, opposite sides are parallel

6. Answers may include: four right angles, opposite sides are equal in length, opposite sides are parallel

7. True8. False9. False

Shapes and Perimeter Unit Review

1. d2. c3. c4. c5. c6. b7. b8. c9. a10. b11. b12. D13. B14. C15. C16. C17. D18. A19. 112 feet20. 5 mm21. 20 in22. The circle does not belong because it is

not a polygon23. Hexagon. Properties will vary24. Triangle. Properties will vary25. Dodecagon. Properties will vary26. Trapezoid. Properties will vary27. a. Dimensions may include: 64 inches by

1 inch, 1 inch by 64 inches, 8 inches by 8 inches, 2 inches by 32 inches, 32 inches by 2 inches, 4 inches by 6 inches, 6 inches by 4 inchesb. Perimeters may include: 130 inches, 32 inches, 68 inches, 20 inches

28. a. 14 ftb. 20 decorationsc. 84 squared feet

29. a. 11 ftb. 6 plantsc. 143 squared feet


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