Area & Perimeter Mega Pack

Transcription

1 Area & Perimeter Mega Pack

2 Area & Perimeter Mega-Pack! This area and perimeter jumbo-bundle has everything your students need to practice, sharpen and hone their skills. Included in this bunch are: - Area word problems - Perimeter word problems - Shapes that have the same perimeter, but different area problems - Problems comparing area - Problems estimating area - Finding area using tiles - Finding area using length x width - Finding are of shapes that can be broken into rectangles I included an area and perimeter whole-class problem solving PowerPoint to go through together. There s even more packed into this one there s just too much to list. You won t need another set of area & perimeter problems for your class! I have also included the common core standards that apply. Challenge your students to learn the formulas for area and perimeter and then apply them to real-world problems using these worksheets. Effective Teaching Made Fun

3 Common Core Standards Common Core Focus / Math Key Ideas and Details Measurement & Data 3rd Grade Geometric measurement: understand concepts of area and relate area to multiplication and to addition. CCSS.Math.Content.3.MD.C.5 Recognize area as an attribute of plane figures and understand concepts of area measurement. o CCSS.Math.Content.3.MD.C.5a A square with side length 1 unit, called a unit square, is said to have one square unit of area, and can be used to measure area. o CCSS.Math.Content.3.MD.C.5b A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units. CCSS.Math.Content.3.MD.C.6 Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units). CCSS.Math.Content.3.MD.C.7 Relate area to the operations of multiplication and addition. o CCSS.Math.Content.3.MD.C.7a Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths. o o o CCSS.Math.Content.3.MD.C.7b Multiply side lengths to find areas of rectangles with wholenumber side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning. CCSS.Math.Content.3.MD.C.7c Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a b and a c. Use area models to represent the distributive property in mathematical reasoning. CCSS.Math.Content.3.MD.C.7d Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the nonoverlapping parts, applying this technique to solve real world problems. Geometric measurement: recognize perimeter. CCSS.Math.Content.3.MD.D.8 Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

4 1. Mrs. Sinto wants to buy carpet for the room shown. How much carpeting does she need to buy to cover the floor area? Show your work and remember to label using square feet! 2. Mrs. Sinto also wants to buy carpet for the hamster cage shown. How much carpeting does she need to cover the floor area of the hamster cage? 20 in. 21 in. 3. The Window Frame A window frame in the shape of a rectangle is 90 centimeters long and 40 centimeters wide. What is the perimeter of the window frame?

5 4. Carefully examine each of the rectangles shown below. A B C D = 1 square cm Calculate the perimeter and the area of each rectangle above. Label each answer. Rectangle Area in cm² Perimeter in cm A B C D

6 5. Carefully examine each of the three rectangles shown below. A B C = 1 square unit Each rectangle represents the backyard of a house. Which house has the most land? Explain your thinking. Which house would need to buy the most fencing material to completely enclose the yard? Explain your thinking.

7 6. Examine rectangles A, B, and C below. Calculate the perimeter and the area of each one. Complete the chart below. Don't forget to label your answers! 6 ft. A 7ft. B 5 in. 2 in. C 25 in. Rectangle Perimeter Area A B C

8 7. Covering Box tops with Paper The pink and orange rectangles below are the tops of gift boxes. You want to cover each of them with fancy paper. 2 cm Pink 33 cm 12 cm 5 cm Orange Which box top, the pink or the orange will require more paper? Show your work. How much more paper will you need to use? Explain using words, numbers or pictures.

9 8. Measuring Geometric Objects = 1 square centimeter What is the area of the shape on the grid? (Hint: it helps to draw all the lines through the shape.) A. 16 square centimeters B. 18 square centimeters C. 20 square centimeters D. 22 square centimeters

10 9. What is the area of Jerome's design? A. 72 square feet B. 39 square feet C. 38 square feet D. 34 square feet 10. Beth is making a lid for her jewelry box with square tiles, as shown below. What is the area of Beth s jewelry-box lid? A. 6 square inches B. 10 square inches C. 12 square inches D. 24 square inches

11 11. Painting the Floor The Turners want to paint the floor of their porch. The shaded part of the figure below shows the part of the floor that needs paint. Remember to label your answers! What is the area of the shaded part of the floor? What is the perimeter of the floor? What is the area of the part of the floor they aren t painting?

12 12. Chester drew the shaded figure on the grid paper shown below. What is the area, in square centimeters, of the shaded figure on Chester's grid? Show or explain how you got your answer. 13. Chester drew a rectangle that had the same area as the shaded figure on the grid above. What could be the dimensions (length and width) of the rectangle he drew? Show or explain how you got your answer. 14. Is there a different rectangle that Chester could have drawn that has the same area as the shaded figure on the grid above? show or explain how you got your answer.

13 15. Which shaded figure has the largest area? A. rectangle B. parallelogram C. triangle Explain how you got your answer. 16. The Garden Fence

14 17. What is the area of the figure? 18. Look at the rectangles below. The perimeter of rectangle Y is how many centimeters greater than the perimeter of rectangle Z? 2 cm 4cm 6 cm 8 cm Explain how you got your answer.

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16 1. The length of a rectangle is 12 inches and its width is 9 inches. What is the area and perimeter of the rectangle? Area: Perimeter: 2. The side of a square is 13 cm. What is the area and perimeter of the square? Area: Perimeter: 3. The length of a rectangle is 18 feet and its width is 5 feet. What is the area and perimeter of the rectangle? Area: Perimeter: 4. Mrs. Weigle wants to make a new bulletin board with a border. She wants the bulletin board to be a total of 32 square feet. Draw two different rectangles showing how Mrs. Weigle can make her bulletin board. Of the two bulletin boards you drew, circle the one that uses the least amount of border.

17 Solve the problems below using the proper formulas for Area and Perimeter. A = L x W Perimeter = L + W + L + W 1. An index card has a length of 7 cm and a width of 4 cm. What is the perimeter of the card? 2. A rectangular-shaped yard has a length of 15 meters and a width of 6 meters. What is its area? 3. The perimeterof a square is 200 cm. What is the length of each side? 4. An ant s yard has a length of 4 cm and a width of 6 cm. What is the area and perimeter of the ant s yard? 5. If one side of a stop sign measures 12 inches, what is its perimeter? 6. A window has a length of 4 feet and a width of 3 feet. What is its area? 7. A piece of paper has a length of 17 cm and a width of 22 cm. What is the perimeter of the paper? 8. A rectangular piece of cardboard has a length of 16 inches and a width of 5 inches. What is the area of the cardboard? 9. A square garden has a side of 22 feet. How much fence is needed to enclose the garden? 10. A square chessboard has an area of 144 square inches. What is its perimeter?

18 Layzon is buying a chocolate candy bar at The Dollar Store. He has 3 different candy bars to choose from. Each bar costs the same amount. Which chocolate bar will give him the most candy for his money? 9 cm 7 cm 6 cm 5 cm 7 cm 8 cm Show your work!

19 What is the best estimate for the area of the figure drawn on the grid? Answer: What is the best estimate for the area of the figure drawn on the grid? Answer:

20 1. Xen was making a quilt. The quilt measured 7 feet by 6 feet. The quilt has a one-foot border. What is the area of the fabric that would fit inside the border to finish the quilt? Answer: 2. Wup measured the dimensions of a picture frame. The frame measured 8 inches by 8 inches. The frame has a two-inch border. What is the area of the photograph that would fit inside the border of the frame? Answer:

21 Find the area and perimeter of the following shapes. Remember to label all sides of each shape first! Put in your duck gate too! 10 m 9 in 12 m 7 in 2 in 3 in 15 m Area: 2 m 4 in Area: Perimeter: Perimeter: 15 5 ft 8 ft 7 ft 5 ft 18 5 Area: Perimeter: 6 ft Area: Perimeter:

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