3rd Grade Shapes and Perimeter 2015-11-10 www.njctl.org Slide 3 / - - PDF document

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3rd Grade

Shapes and Perimeter

2015-11-10 www.njctl.org

Slide 3 / 102 Table of Contents

Area Click on a topic to go to that section Perimeter Lines, Rays and Line Segments Angles Parallel and Intersecting Lines Polygons Quadrilaterals

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Area

Return to Table of Contents

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Area - The number of square units (units

2) it takes to cover the

surface of a figure. What is the area of this square? Use the blue square to cover the larger square without overlapping.

Area Slide 6 / 102

How many 1 ft2 tiles does it take to cover the rectangle? Use the squares to find out! 9 ft 4 ft 1 ft2 Do know an easier way to figure out the area?

Exploring Area

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Area = length x width Area = side x side The Area (A) of a rectangle is found by using: The Area (A) of a square is found by using:

Finding Area Slide 8 / 102

What is the area of these shapes? Drag the magnifying glass under each to see if you are right. 18 4 3 15 21

Finding Area Slide 9 / 102

1 What is the area of the figure? 9 ft. 4 ft

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1 What is the area of the figure? 9 ft. 4 ft

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Answer

36 feet squared

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2 What is the area of the figure?

6 in. 2 in.

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2 What is the area of the figure?

6 in. 2 in.

[This object is a pull tab]

Answer

12 inches squared

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3 Can use side x side to figure out the area of this shape?

Yes No

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3 Can use side x side to figure out the area of this shape?

Yes No

[This object is a pull tab]

Answer

Yes

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4 Find the area of the square below. 5

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4 Find the area of the square below. 5

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Answer

25 units squared

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5 What is the length of one side if the area of a square is 16 units

2?

? area= 16 units2

A 3 B 4 C 5 D 6

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5 What is the length of one side if the area of a square is 16 units

2?

? area= 16 units2

A 3 B 4 C 5 D 6

[This object is a pull tab]

Answer

4 units

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6 What is the length of one side if the area of a square is 36 units

2?

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6 What is the length of one side if the area of a square is 36 units

2?

[This object is a pull tab]

Answer

6 units

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7 Maggie wants to put down new tile in her

• bathroom. How many 1 ft by 1 ft tiles does

she need to cover the floor if it is in the shape of a square and each side has a length of 5 ft? A 5 tiles B 10 tiles C 20 tiles D 25 tiles

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7 Maggie wants to put down new tile in her

• bathroom. How many 1 ft by 1 ft tiles does

she need to cover the floor if it is in the shape of a square and each side has a length of 5 ft? A 5 tiles B 10 tiles C 20 tiles D 25 tiles

[This object is a pull tab]

Answer

25 tiles

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Perimeter

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Perimeter- What word do you see in the middle of perimeter?

PERIMETER

Just like the "rim" of a tire goes around the outside.

click

Perimeter

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The perimeter of a shape is the measurement around the outside

• f the shape.

Perimeter Slide 19 / 102

3 3 3 P=9 4 4 4 4 P=16 2 2 2 2 2 2 2 1 1 P=6 P=10 How were the perimeters of the shapes above found?

Perimeter Slide 20 / 102

How can we find the missing side lengths to find the perimeter of this rectangle? 9 ft 4 ft ? ?

Perimeter Slide 21 / 102

How can we find the missing side lengths to find the perimeter of this square? 6 cm ? ? ?

Perimeter Slide 22 / 102

What is the perimeter of these shapes? Drag the magnifying glass under each to see if you are right. 18 16 20 2 3 1 1 1 3 8 12

Finding Perimeter Slide 23 / 102

8 What is the perimeter of this rectangle? 10 ft 6 ft

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8 What is the perimeter of this rectangle? 10 ft 6 ft

[This object is a pull tab]

Answer

32 feet

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9 What is the perimeter of this rectangle?

5 cm. 4 cm

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9 What is the perimeter of this rectangle?

5 cm. 4 cm

[This object is a pull tab]

Answer

18 cm

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10 You can use side x side to figure out the perimeter of this shape?

Yes No

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10 You can use side x side to figure out the perimeter of this shape?

Yes No

[This object is a pull tab]

Answer

No

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11 What is the perimeter of this square? 7 cm.

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11 What is the perimeter of this square? 7 cm.

[This object is a pull tab]

Answer

28 cm

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12 What is the length of one side if the perimeter is 12 units? ? perimeter = 12 units

A 1 B 2 C 3 D 4

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12 What is the length of one side if the perimeter is 12 units? ? perimeter = 12 units

A 1 B 2 C 3 D 4

[This object is a pull tab]

Answer

C

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13 Dawn wants to put up a fence around her yard. How much fence is needed? 10 ft 20 ft

A 30 ft B 10 ft C 60 ft D 200 ft

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13 Dawn wants to put up a fence around her yard. How much fence is needed? 10 ft 20 ft

A 30 ft B 10 ft C 60 ft D 200 ft

[This object is a pull tab]

Answer

C Since the fence goes around the garden, it is perimeter.

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14 Lavina wants to place a fence around a rectangular play area for her rabbits. The play area will be 7-feet long and 4-feet wide. What is the total length of fence, in feet, Lavina needs to place around the play area?

From PARCC EOY sample test non-calculator #21

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14 Lavina wants to place a fence around a rectangular play area for her rabbits. The play area will be 7-feet long and 4-feet wide. What is the total length of fence, in feet, Lavina needs to place around the play area?

From PARCC EOY sample test non-calculator #21

[This object is a pull tab]

Answer

22 feet

Slide 30 / 102 Perimeter Problems with Geoboards

Click for web site for interactive Geoboard from National Library of Virtual Manipulatives

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15 What is the perimeter of the rectangle shown on the geoboard?

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15 What is the perimeter of the rectangle shown on the geoboard?

[This object is a pull tab]

Answer

12 units

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16 Do both of these rectangles have the same perimeter?

Yes No

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16 Do both of these rectangles have the same perimeter?

Yes No

[This object is a pull tab]

Answer

Yes

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17 Do both of these rectangles have the same perimeter?

Yes No

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17 Do both of these rectangles have the same perimeter?

Yes No

[This object is a pull tab]

Answer

No

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This Geoboard shows a perimeter of 14. With your group, make as many other rectangles as you can with a perimeter of 14.

Using Geoboards Slide 35 / 102

Organize your data into a table

Length Width Perimeter 4 3 14

Organizing Perimeter Data Slide 36 / 102

How to find a missing length or width length = 9 units width= ? If the perimeter of this rectangle is 24 units, what is the unknown width? Step 1: Label the opposite length.

Perimeter Slide 37 / 102

How to find a missing length or width length = 9 units width= ? If the perimeter of this rectangle is 24 units, what is the unknown width? Step 1: Label the opposite length. Step 2: Add the two lengths together. 9 + 9 = 18 length = 9 units

Perimeter

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How to find a missing length or width length = 9 units width= ? If the perimeter of this rectangle is 24 units, what is the unknown width? Step 1: Label the opposite length. Step 2: Add the two lengths together. 9 + 9 = 18 Step 3: Subtract the two lengths from the perimeter. 24 - 18 = 6 length = 9 units

Perimeter Slide 39 / 102

How to find a missing length or width length = 9 units width= 3 units If the perimeter of this rectangle is 24 units, what is the unknown width? Step 1: Label the opposite length. Step 2: Add the two lengths together. 9 + 9 = 18 Step 3: Subtract the two lengths from the perimeter. 24 - 18 = 6 Step 4: Divide 6 ÷ 2 = 3 The unknown width is 3 units. length = 9 units width= 3 units

Perimeter Slide 40 / 102

18 The perimeter of a rectangle is 12 inches. The length is 5 inches. What is the width? (Draw a picture to help.)

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18 The perimeter of a rectangle is 12 inches. The length is 5 inches. What is the width? (Draw a picture to help.)

[This object is a pull tab]

Answer

1 inch

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19 The perimeter of a bedroom is 36 feet. The width is 8 feet. What is the length? (Draw a picture to help.)

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19 The perimeter of a bedroom is 36 feet. The width is 8 feet. What is the length? (Draw a picture to help.)

[This object is a pull tab]

Answer

10 feet

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20 The perimeter of a window is 16 feet. The length is 5 feet. What is the width? (Draw a picture to help.)

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20 The perimeter of a window is 16 feet. The length is 5 feet. What is the width? (Draw a picture to help.)

[This object is a pull tab]

Answer

3 feet

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21 The perimeter of a frame is 48 centimeters. The length is 15 centimeters. What is the width? (Draw a picture to help.)

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21 The perimeter of a frame is 48 centimeters. The length is 15 centimeters. What is the width? (Draw a picture to help.)

[This object is a pull tab]

Answer

9 cm

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22 The shape shown has a perimeter of 34 feet. What is the length of the side that is missing a number?

4 feet 5 feet 8 feet 10 feet ? feet

From PARCC EOY sample test non-calculator #18

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22 The shape shown has a perimeter of 34 feet. What is the length of the side that is missing a number?

4 feet 5 feet 8 feet 10 feet ? feet

From PARCC EOY sample test non-calculator #18

[This object is a pull tab]

Answer

7 feet

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Lines, Rays and Line Segments

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I F This is a line. What can you tell me about it?

Lines Slide 47 / 102

Did you come up with these ideas?

Lines

• 1. There are arrows on both ends.
• 2. There are endpoints on both ends.
• 3. It can be named Line IF.
• 4. It can be named Line FI.

click

_____________________________________

click

_____________________________________

click

_____________________________________

click

_____________________________________

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N P This is a line segment? What do you see?

Line Segments Slide 49 / 102

Did you come up with these ideas?

Line Segments

• 1. There are no arrows.
• 2. There are endpoints on both ends.
• 3. It can be named Line Segment NP.
• 4. It can be named Line Segment PN.

click

_____________________________________

click

_____________________________________

click

_____________________________________

click

_____________________________________

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K W This is a ray. What do you see?

Rays

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Did you come up with these ideas?

Rays

• 1. There is an arrow on one end.
• 2. There are endpoints on both ends.
• 3. It can be named Ray KW.
• 4. It can be named Ray WK.

click

_____________________________________

click

_____________________________________

click

_____________________________________

click

_____________________________________

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23 The name of the line segment is RO.

True False O R

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23 The name of the line segment is RO.

True False O R

[This object is a pull tab]

Answer

True

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24 What is the name of the line below?

A

CG

B

GC

C

Both A and B

C G

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24 What is the name of the line below?

A

CG

B

GC

C

Both A and B

C G

[This object is a pull tab]

Answer

C

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25 Can the name of this ray be CH?

Yes No H C

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25 Can the name of this ray be CH?

Yes No H C

[This object is a pull tab]

Answer

No

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26 Which one is ray BN?

A

BN

B

BN

C

BN

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26 Which one is ray BN?

A

BN

B

BN

C

BN

[This object is a pull tab]

Answer

C

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Angles

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An angle is made with 2 rays that meet at the same endpoint. How would you describe the vertex? Vertex

Angles Slide 58 / 102

Right Angles What do these all have in common?

Right Angles

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Acute Angles How are these different from a right angle?

Acute Angles Slide 60 / 102

Obtuse Angles How are these angles different from a right angle?

Obtuse Angles Slide 61 / 102

Acute Right Obtuse Sort the angles into the correct category.

Sorting Angles Slide 62 / 102

27 This is an obtuse angle.

True False

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27 This is an obtuse angle.

True False

[This object is a pull tab]

Answer

False

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28 What type of angle is this?

A

right

B

left

C

• btuse

D

acute

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28 What type of angle is this?

A

right

B

left

C

• btuse

D

acute

[This object is a pull tab]

Answer

C

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29 Is this an acute angle?

Yes No

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29 Is this an acute angle?

Yes No

[This object is a pull tab]

Answer

Yes

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30 What do these two angles have in common?

A They are both angles. B They are both right angles. C They are both acute angles D Both A and B

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30 What do these two angles have in common?

A They are both angles. B They are both right angles. C They are both acute angles D Both A and B

[This object is a pull tab]

Answer

B

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31 Are these two angles the same type of angle?

Yes No

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31 Are these two angles the same type of angle?

Yes No

[This object is a pull tab]

Answer

Yes

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Parallel and Intersecting Lines

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Parallel lines are a set of two lines that do not intersect (touch). Can you think of any examples of parallel lines?

Parallel Lines Slide 69 / 102

Intersecting lines do intersect or could cross. Can you think of any examples of intersecting lines?

Intersecting Lines Slide 70 / 102

Find the "matching" parallel lines. Then move them again to make intersecting lines.

Parallel and Intersecting Lines Slide 71 / 102

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32 This is a pair of intersecting lines.

True False

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32 This is a pair of intersecting lines.

True False

[This object is a pull tab]

Answer

True

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33 Which line would be parallel to the one below?

A B C D

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33 Which line would be parallel to the one below?

A B C D

[This object is a pull tab]

Answer

C

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34 Are these lines parallel?

Yes No

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34 Are these lines parallel?

Yes No

[This object is a pull tab]

Answer

Yes

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35 What is this picture an example of?

A

Parallel lines

B

Intersecting lines

C

Both A and B

D

Neither

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35 What is this picture an example of?

A

Parallel lines

B

Intersecting lines

C

Both A and B

D

Neither

[This object is a pull tab]

Answer

C

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36 Do these lines intersect?

Yes No

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36 Do these lines intersect?

Yes No

[This object is a pull tab]

Answer

No

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Polygons

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A polygon is a 2-Dimensional (2D) shape that is made of 3 or more sides. The sides must be connected at the vertices and no sides may cross. Using this definition, can you place the shapes where they belong? Polygons Not Polygons

Polygons

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The smallest amount of sides a polygon may have is 3. This polygon is called a triangle. What does tri- mean? A polygon with four sides is called a quadrangle or quadrilateral. What does quad- mean?

Types of Polygons Slide 80 / 102

Now that we know that tri- means 3 and quad- means 4, what do we call the other polygons? Use the chart to help name the shapes below. Prefix Number of Sides Penta- 5 Hexa- 6 Hepta- 7 Octa- 8 Pentagon Hexagon Heptagon Octagon

Types of Polygons Slide 81 / 102

37 This is a polygon.

True False

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37 This is a polygon.

True False

[This object is a pull tab]

Answer

False

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38 Why is this not a polygon?

A

It has 3 sides.

B

The sides are not connected at the vertices.

C

The sides are straight.

D

Its a 2D shape.

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38 Why is this not a polygon?

A

It has 3 sides.

B

The sides are not connected at the vertices.

C

The sides are straight.

D

Its a 2D shape.

[This object is a pull tab]

Answer

B

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39 Is this a pentagon?

Yes No

Slide 83 (Answer) / 102

39 Is this a pentagon?

Yes No

[This object is a pull tab]

Answer

Yes

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40 How many sides does an octagon have?

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40 How many sides does an octagon have?

[This object is a pull tab]

Answer

8 sides

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41 What makes this shape a polygon?

A

It has more than 3 sides.

B

All sides are straight lines.

C

It is a 3D shape.

D

Both A & B.

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41 What makes this shape a polygon?

A

It has more than 3 sides.

B

All sides are straight lines.

C

It is a 3D shape.

D

Both A & B.

[This object is a pull tab]

Answer

D

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Quadrilaterals

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A quadrilateral is a polygon that has 4 sides.

Quadrilaterals Slide 88 / 102

A quadrilateral that has 4 right angles and the

• pposite sides of equal length.

This is a rectangle. What do you think is the definition of a rectangle? Tap the rectangle to find out.

Rectangles Slide 89 / 102

A quadrilateral that has 4 right angles and the all sides are

• f equal length.

This is a square. What do you think is the definition of a square? Tap the square to find out.

Squares Slide 90 / 102

A quadrilateral that has opposite sides that are parallel and equal in length. This is a parallelogram. What do you think is the definition of a parallelogram? Tap the parallelogram to find out.

Parallelograms Slide 91 / 102

A quadrilateral that has opposite sides that are parallel and all sides are equal in length. This is a rhombus. What do you think is the definition of a rhombus? Tap the rhombus to find out.

Rhombus

Slide 92 / 102

A quadrilateral that has only one set of parallel sides. This is a trapezoid. What do you think is the definition of a trapezoid? Tap the trapezoid to find out.

Trapezoids Slide 93 / 102

Complete the venn diagram.

Square Rhombus Can a square be a rhombus?

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Complete the venn diagram.

Square Rectangle Can a square be a rectangle?

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42 How many sides does a quadrilateral have?

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42 How many sides does a quadrilateral have?

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Answer

4

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43 The shape below is a parallelogram.

True False

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43 The shape below is a parallelogram.

True False

[This object is a pull tab]

Answer

False

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44 Is this shape a trapezoid?

Yes No

Slide 97 (Answer) / 102

44 Is this shape a trapezoid?

Yes No

[This object is a pull tab]

Answer

No

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45 What is the shape below? A square B rectangle C quadrilateral D A, B, & C

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45 What is the shape below? A square B rectangle C quadrilateral D A, B, & C

[This object is a pull tab]

Answer

D

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46 What is true about the shape below? A Opposite sides are parallel. B All sides are equal in length. C Both A and B D None of the above

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46 What is true about the shape below? A Opposite sides are parallel. B All sides are equal in length. C Both A and B D None of the above

[This object is a pull tab]

Answer

C

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47 Which three shapes are quadrilaterals? A B C D E F

From PARCC EOY sample test non-calculator #7

Slide 100 (Answer) / 102

47 Which three shapes are quadrilaterals? A B C D E F

From PARCC EOY sample test non-calculator #7

[This object is a pull tab]

Answer

C,D,E

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48 Select the two statements that are true. A Rectangles and squares always have 4 equal sides. B Rhombuses and squares always have 4 equal sides. C Rectangles and squares always have 4 right angles. D Rhombuses and squares always have 4 right angles. E Rectangles and rhombuses always have 4 right angles.

From PARCC EOY sample test non-calculator #29

Slide 101 (Answer) / 102

48 Select the two statements that are true. A Rectangles and squares always have 4 equal sides. B Rhombuses and squares always have 4 equal sides. C Rectangles and squares always have 4 right angles. D Rhombuses and squares always have 4 right angles. E Rectangles and rhombuses always have 4 right angles.

From PARCC EOY sample test non-calculator #29

[This object is a pull tab]

Answer

B and C

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With your group: Draw a picture of a quadrilateral and a rhombus. How are they alike? How are they different? Is a quadrilateral a rhombus? Is a rhombus a quadrilateral?

Comparing a Quadrilateral and Rhombus