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 Contents Area Click on a topic to Perimeter go to that section Lines, Rays and Line Segments Angles Area Parallel and Intersecting Lines Polygons Quadrilaterals Return to Table of Contents Slide 5 / 102 Slide 6 / 102 Area Exploring Area Area - The number of square units (units 2 ) it takes to cover the How many 1 ft 2 tiles does it take to cover the rectangle? surface of a figure. What is the area of this square? Use the squares to find out! 9 ft 4 ft 1 ft 2 Do know an easier way to figure out the area? Use the blue square to cover the larger square without overlapping.
Slide 7 / 102 Slide 8 / 102 Finding Area Finding Area What is the area of these shapes? The Area (A) of a rectangle is found by using: Area = length x width 3 The Area (A) of a square is found by using: 18 4 Area = side x side 21 15 Drag the magnifying glass under each to see if you are right. Slide 9 / 102 Slide 9 (Answer) / 102 1 What is the area of the figure? 1 What is the area of the figure? 9 ft. 9 ft. Answer 36 feet squared 4 ft 4 ft [This object is a pull tab] Slide 10 / 102 Slide 10 (Answer) / 102 2 What is the area of the figure? 2 What is the area of the figure? 6 in. 6 in. Answer 2 in. 2 in. 12 inches squared [This object is a pull tab]
Slide 11 / 102 Slide 11 (Answer) / 102 3 Can use side x side to figure out the area of 3 Can use side x side to figure out the area of this shape? this shape? Yes Yes No No Answer Yes [This object is a pull tab] Slide 12 / 102 Slide 12 (Answer) / 102 4 Find the area of the square below. 4 Find the area of the square below. 5 5 Answer 25 units squared [This object is a pull tab] Slide 13 / 102 Slide 13 (Answer) / 102 5 What is the length of one side if the 5 What is the length of one side if the area of a square is 16 units 2 ? area of a square is 16 units 2 ? ? ? A 3 A 3 B 4 B 4 area= area= C 5 C 5 16 units 2 16 units 2 Answer D 6 D 6 4 units [This object is a pull tab]
Slide 14 / 102 Slide 14 (Answer) / 102 6 What is the length of one side if the 6 What is the length of one side if the area of a square is 36 units 2 ? area of a square is 36 units 2 ? Answer 6 units [This object is a pull tab] Slide 15 / 102 Slide 15 (Answer) / 102 7 Maggie wants to put down new tile in her 7 Maggie wants to put down new tile in her bathroom. How many 1 ft by 1 ft tiles does bathroom. How many 1 ft by 1 ft tiles does she need to cover the floor if it is in the she need to cover the floor if it is in the shape of a square and each side has a shape of a square and each side has a length of 5 ft? length of 5 ft? Answer 25 tiles A 5 tiles A 5 tiles B 10 tiles B 10 tiles C 20 tiles C 20 tiles [This object is a pull tab] D 25 tiles D 25 tiles Slide 16 / 102 Slide 17 / 102 Perimeter Perimeter- What word do you see in the middle of perimeter? click Perimeter PERIMETER Just like the "rim" of a tire goes around Return to the outside. Table of Contents
Slide 18 / 102 Slide 19 / 102 Perimeter Perimeter 2 2 3 3 P=10 P=9 The perimeter of a shape is the 2 2 measurement around the outside 2 3 4 of the shape. 2 P=6 2 4 P=16 4 1 1 4 How were the perimeters of the shapes above found? Slide 20 / 102 Slide 21 / 102 Perimeter Perimeter How can we find the missing side lengths How can we find the missing side lengths to find to find the perimeter of this square? the perimeter of this rectangle? 9 ft 6 cm 4 ft ? ? ? ? ? Slide 22 / 102 Slide 23 / 102 Finding Perimeter 8 What is the perimeter of this rectangle? What is the perimeter of these shapes? 3 2 10 ft 3 1 1 1 18 8 6 ft 12 20 16 Drag the magnifying glass under each to see if you are right.
Slide 23 (Answer) / 102 Slide 24 / 102 9 What is the perimeter of this rectangle? 8 What is the perimeter of this rectangle? 10 ft Answer 5 cm. 6 ft 32 feet 4 cm [This object is a pull tab] Slide 24 (Answer) / 102 Slide 25 / 102 10 You can use side x side to figure out 9 What is the perimeter of this rectangle? the perimeter of this shape? Yes No Answer 5 cm. 18 cm 4 cm [This object is a pull tab] Slide 25 (Answer) / 102 Slide 26 / 102 10 You can use side x side to figure out 11 What is the perimeter of this square? the perimeter of this shape? Yes 7 cm. No Answer No [This object is a pull tab]
Slide 26 (Answer) / 102 Slide 27 / 102 12 What is the length of one side if the 11 What is the perimeter of this square? perimeter is 12 units? ? A 1 7 cm. B 2 perimeter = 12 units C 3 Answer D 4 28 cm [This object is a pull tab] Slide 27 (Answer) / 102 Slide 28 / 102 12 What is the length of one side if the 13 Dawn wants to put up a fence around her yard. How perimeter is 12 units? much fence is needed? ? A 1 A 30 ft 10 ft B 2 perimeter = B 10 ft Answer 12 units C 3 20 ft C C 60 ft D 4 D 200 ft [This object is a pull tab] Slide 28 (Answer) / 102 Slide 29 / 102 14 Lavina wants to place a fence around a rectangular play 13 Dawn wants to put up a fence around her yard. How area for her rabbits. The play area will be 7-feet long and much fence is needed? 4-feet wide. A 30 ft 10 ft What is the total length of fence, in feet, Lavina needs to place around the play area? B 10 ft C Answer 20 ft C 60 ft D 200 ft Since the fence goes around the garden, it is perimeter. [This object is a pull tab] From PARCC EOY sample test non-calculator #21
Slide 29 (Answer) / 102 Slide 30 / 102 Perimeter Problems with Geoboards 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 22 feet Click for web site for interactive [This object is a pull tab] Geoboard from National Library of Virtual Manipulatives From PARCC EOY sample test non-calculator #21 Slide 31 / 102 Slide 31 (Answer) / 102 15 What is the perimeter of the rectangle shown on 15 What is the perimeter of the rectangle shown on the geoboard? the geoboard? Answer 12 units [This object is a pull tab] Slide 32 / 102 Slide 32 (Answer) / 102 16 Do both of these rectangles have the same 16 Do both of these rectangles have the same perimeter? perimeter? Yes Yes No No Answer Yes [This object is a pull tab]
Slide 33 / 102 Slide 33 (Answer) / 102 17 Do both of these rectangles have the same 17 Do both of these rectangles have the same perimeter? perimeter? Yes Yes No No Answer No [This object is a pull tab] Slide 34 / 102 Slide 35 / 102 Using Geoboards Organizing Perimeter Data This Geoboard shows a perimeter of 14. With your group, make as many other rectangles as you can with a perimeter of 14. Organize your data into a table Length Width Perimeter 4 3 14 Slide 36 / 102 Slide 37 / 102 Perimeter Perimeter How to find a missing length or width How to find a missing length or width If the perimeter of this rectangle is 24 units, what is the unknown width? If the perimeter of this rectangle is 24 units, what is the length = 9 units unknown width? width= ? width= ? length = 9 units length = 9 units Step 1: Label the opposite length. Step 1: Label the opposite length. Step 2: Add the two lengths together. 9 + 9 = 18
Slide 38 / 102 Slide 39 / 102 Perimeter Perimeter How to find a missing length or width How to find a missing length or width If the perimeter of this rectangle is 24 units, what is the If the perimeter of this rectangle is 24 units, what is the unknown width? unknown width? length = 9 units length = 9 units width= 3 units width= 3 units width= ? length = 9 units length = 9 units Step 1: Label the opposite length. Step 2: Add the two lengths together. Step 1: Label the opposite length. 9 + 9 = 18 Step 2: Add the two lengths together. Step 3: Subtract the two lengths from the perimeter. 9 + 9 = 18 24 - 18 = 6 Step 3: Subtract the two lengths from the perimeter. Step 4: Divide 6 ÷ 2 = 3 24 - 18 = 6 The unknown width is 3 units. Slide 40 / 102 Slide 40 (Answer) / 102 18 The perimeter of a rectangle is 12 inches. The 18 The perimeter of a rectangle is 12 inches. The length is 5 inches. What is the width? length is 5 inches. What is the width? (Draw a picture to help.) (Draw a picture to help.) Answer 1 inch [This object is a pull tab] Slide 41 / 102 Slide 41 (Answer) / 102 19 The perimeter of a bedroom is 36 feet. 19 The perimeter of a bedroom is 36 feet. The width is 8 feet. What is the length? The width is 8 feet. What is the length? (Draw a picture to help.) (Draw a picture to help.) Answer 10 feet [This object is a pull tab]
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