3rd Grade. Shapes and Perimeter.
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1 1
2 3rd Grade Shapes and Perimeter
3 Table of Contents Area Perimeter Lines, Rays and Line Segments Angles Click on a topic to go to that section Parallel and Intersecting Lines Polygons Quadrilaterals 3
4 Area Return to Table of Contents 4
5 Area 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. 5
6 Exploring Area How many 1 ft 2 tiles does it take to cover the rectangle? Use the squares to find out! 9 ft 1 ft 2 4 ft Do know an easier way to figure out the area? 6
7 Finding Area The Area (A) of a rectangle is found by using: Area = length x width The Area (A) of a square is found by using: Area = side x side 7
8 Finding Area What is the area of these shapes? Drag the magnifying glass under each to see if you are right. 8
9 1 What is the area of the figure? 9 ft. 4 ft Answer 9
10 2 What is the area of the figure? 6 in. 2 in. Answer 10
11 3 Can use side x side to figure out the area of this shape? Yes No Answer 11
12 4 Find the area of the square below. 5 Answer 12
13 5 What is the length of one side if the area of a square is 16 units 2? A 3 B 4 C 5 D 6? area= 16 units 2 Answer 13
14 6 What is the length of one side if the area of a square is 36 units 2? Answer 14
15 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 Answer B 10 tiles C 20 tiles D 25 tiles 15
16 Perimeter Return to Table of Contents 16
17 Perimeter Perimeter What word do you see in the middle of perimeter? click PERIMETER Just like the "rim" of a tire goes around the outside. 17
18 Perimeter The perimeter of a shape is the measurement around the outside of the shape. 18
19 Perimeter P=9 2 P= P= P= How were the perimeters of the shapes above found? 19
20 Perimeter How can we find the missing side lengths to find the perimeter of this rectangle? 9 ft 4 ft?? 20
21 Perimeter How can we find the missing side lengths to find the perimeter of this square? 6 cm??? 21
22 Finding Perimeter 18 What is the perimeter of these shapes? Drag the magnifying glass under each to see if you are right. 22
23 8 What is the perimeter of this rectangle? 10 ft 6 ft Answer 23
24 9 What is the perimeter of this rectangle? 5 cm. Answer 4 cm 24
25 10 You can use side x side to figure out the perimeter of this shape? Yes No Answer 25
26 11 What is the perimeter of this square? 7 cm. Answer 26
27 12 What is the length of one side if the perimeter is 12 units? A 1? B 2 C 3 D 4 perimeter = 12 units Answer 27
28 13 Dawn wants to put up a fence around her yard. How much fence is needed? A 30 ft 10 ft B 10 ft C 60 ft D 200 ft 20 ft Answer 28
29 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? Answer From PARCC EOY sample test non calculator #21 29
30 Perimeter Problems with Geoboards Click for web site for interactive Geoboard from National Library of Virtual Manipulatives 30
31 15 What is the perimeter of the rectangle shown on the geoboard? Answer 31
32 16 Do both of these rectangles have the same perimeter? Yes No Answer 32
33 17 Do both of these rectangles have the same perimeter? Yes No Answer 33
34 Using Geoboards This Geoboard shows a perimeter of 14. With your group, make as many other rectangles as you can with a perimeter of
35 Organizing Perimeter Data Organize your data into a table Length Width Perimeter
36 Perimeter How to find a missing length or width If the perimeter of this rectangle is 24 units, what is the unknown width? width=? length = 9 units Step 1: Label the opposite length. 36
37 Perimeter How to find a missing length or width If the perimeter of this rectangle is 24 units, what is the unknown width? length = 9 units width=? length = 9 units Step 1: Label the opposite length. Step 2: Add the two lengths together = 18 37
38 Perimeter How to find a missing length or width If the perimeter of this rectangle is 24 units, what is the unknown width? length = 9 units width=? length = 9 units Step 1: Label the opposite length. Step 2: Add the two lengths together = 18 Step 3: Subtract the two lengths from the perimeter = 6 38
39 Perimeter How to find a missing length or width If the perimeter of this rectangle is 24 units, what is the unknown width? length = 9 units width= 3 units width= 3 units length = 9 units Step 1: Label the opposite length. Step 2: Add the two lengths together = 18 Step 3: Subtract the two lengths from the perimeter = 6 Step 4: Divide 6 2 = 3 The unknown width is 3 units. 39
40 18 The perimeter of a rectangle is 12 inches. The length is 5 inches. What is the width? (Draw a picture to help.) Answer 40
41 19 The perimeter of a bedroom is 36 feet. The width is 8 feet. What is the length? (Draw a picture to help.) Answer 41
42 20 The perimeter of a window is 16 feet. The length is 5 feet. What is the width? (Draw a picture to help.) Answer 42
43 21 The perimeter of a frame is 48 centimeters. The length is 15 centimeters. What is the width? (Draw a picture to help.) Answer 43
44 22 The shape shown has a perimeter of 34 feet. 5 feet? feet 4 feet 8 feet 10 feet What is the length of the side that is missing a number? Answer From PARCC EOY sample test non calculator #18 44
45 Lines, Rays and Line Segments Return to Table of Contents 45
46 Lines This is a line. What can you tell me about it? F I 46
47 Lines Did you come up with these ideas? click 1. There are arrows on both ends. 2. click There are endpoints on both ends. 3. click It can be named Line IF. click 4. It can be named Line FI. 47
48 Line Segments This is a line segment? What do you see? N P 48
49 Line Segments Did you come up with these ideas? click 1. There are no arrows. 2. click There are endpoints on both ends. 3. click It can be named Line Segment NP. click 4. It can be named Line Segment PN. 49
50 Rays This is a ray. What do you see? W K 50
51 Rays Did you come up with these ideas? click 1. There is an arrow on one end. 2. click There are endpoints on both ends. 3. click It can be named Ray KW. click 4. It can be named Ray WK. 51
52 23 The name of the line segment is RO. True False O R Answer 52
53 24 What is the name of the line below? A CG B GC C G C Both A and B Answer 53
54 25 Can the name of this ray be CH? Yes No H C Answer 54
55 26 Which one is ray BN? A B C BN BN BN Answer 55
56 Angles Return to Table of Contents 56
57 Angles An angle is made with 2 rays that meet at the same endpoint. Vertex How would you describe the vertex? 57
58 Right Angles Right Angles What do these all have in common? 58
59 Acute Angles Acute Angles How are these different from a right angle? 59
60 Obtuse Angles Obtuse Angles How are these angles different from a right angle? 60
61 Sorting Angles Sort the angles into the correct category. Acute Right Obtuse 61
62 27 This is an obtuse angle. True False Answer 62
63 28 What type of angle is this? A B C D right left obtuse acute Answer 63
64 29 Is this an acute angle? Yes No Answer 64
65 30 What do these two angles have in common? A They are both angles. B They are both right angles. C D They are both acute angles Both A and B Answer 65
66 31 Are these two angles the same type of angle? Yes No Answer 66
67 Parallel and Intersecting Lines Return to Table of Contents 67
68 Parallel Lines Parallel lines are a set of two lines that do not intersect (touch). Can you think of any examples of parallel lines? 68
69 Intersecting Lines Intersecting lines do intersect or could cross. Can you think of any examples of intersecting lines? 69
70 Parallel and Intersecting Lines Find the "matching" parallel lines. Then move them again to make intersecting lines. 70
71 71
72 32 This is a pair of intersecting lines. True False Answer 72
73 33 Which line would be parallel to the one below? A B C D Answer 73
74 34 Are these lines parallel? Yes No Answer 74
75 35 What is this picture an example of? A B C D Parallel lines Intersecting lines Both A and B Neither Answer 75
76 36 Do these lines intersect? Yes No Answer 76
77 Polygons Return to Table of Contents 77
78 Polygons 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 78
79 Types of Polygons 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? 79
80 Types of Polygons 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 Penta 5 Hexa 6 Hepta 7 Octa 8 Number of Sides Pentagon Heptagon Octagon Hexagon 80
81 37 This is a polygon. True False Answer 81
82 38 Why is this not a polygon? A B C D It has 3 sides. The sides are not connected at the vertices. The sides are straight. Its a 2D shape. Answer 82
83 39 Is this a pentagon? Yes No Answer 83
84 40 How many sides does an octagon have? Answer 84
85 41 What makes this shape a polygon? A It has more than 3 sides. B C All sides are straight lines. It is a 3D shape. D Both A & B. Answer 85
86 Quadrilaterals Return to Table of Contents 86
87 Quadrilaterals A quadrilateral is a polygon that has 4 sides. 87
88 Rectangles This is a rectangle. What do you think is the definition of a rectangle? A quadrilateral that has 4 right angles and the opposite sides of equal length. Tap the rectangle to find out. 88
89 Squares This is a square. What do you think is the definition of a square? A quadrilateral that has 4 right angles and the all sides are of equal length. Tap the square to find out. 89
90 Parallelograms This is a parallelogram. What do you think is the definition of a parallelogram? A quadrilateral that has opposite sides that are parallel and equal in length. Tap the parallelogram to find out. 90
91 Rhombus This is a rhombus. What do you think is the definition of a rhombus? A quadrilateral that has opposite sides that are parallel and all sides are equal in length. Tap the rhombus to find out. 91
92 Trapezoids This is a trapezoid. What do you think is the definition of a trapezoid? A quadrilateral that has only one set of parallel sides. Tap the trapezoid to find out. 92
93 Complete the venn diagram. Square Rhombus Can a square be a rhombus? 93
94 Complete the venn diagram. Square Rectangle Can a square be a rectangle? 94
95 42 How many sides does a quadrilateral have? Answer 95
96 43 The shape below is a parallelogram. True False Answer 96
97 44 Is this shape a trapezoid? Yes No Answer 97
98 45 What is the shape below? A square B rectangle C quadrilateral D A, B, & C Answer 98
99 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 Answer 99
100 47 Which three shapes are quadrilaterals? A D B E Answer C F From PARCC EOY sample test non calculator #7 100
101 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. Answer E Rectangles and rhombuses always have 4 right angles. From PARCC EOY sample test non calculator #29 101
102 Comparing a Quadrilateral and Rhombus 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? 102
3rd Grade Shapes and Perimeter Table of Contents Area Area Exploring Area
Slide 1 / 102 Slide 2 / 102 3rd Grade Shapes and Perimeter 2015-11-10 www.njctl.org Slide 3 / 102 Slide 4 / 102 Table of ontents rea Perimeter lick on a topic to go to that section Lines, Rays and Line
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