Lesson 1
Name __________________________________________
Using Unit Squares to Find Area
The area of a figure is the number of square units that covers the figure. To find the area, count the square units.
Examples
Practice
Find the area of each figure.
Use the diagram of Mrs. Hart’s kitchen to answer the questions.
The diagram shows the design of a white, tiled kitchen floor. A table sits atop the purple rug. What is the area of the rug? ___________
Which has a greater area, the rug or the table? How much greater?
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Lesson 2
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Multiplying Side Lengths and Tiling
You can count square units to find the area of a figure. You can also multiply.
Examples
Practice
Count or multiply to find the area of each rectangle.
Lesson 3
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Using Area Models to Represent Products
Multiplication problems and solutions can be shown through models of rectangles.
Examples
Draw and Solve
Draw an area model to show the answer to each multiplication problem.
Write a multiplication sentence for each area model.
Lesson 4
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Using Area Models to Represent Distributive Property
You can break a factor into smaller numbers when multiplying to find the area.
Example
Solve
Look at the area model. Look at the multiplication sentences and choose the one that is correct. Write the correct sentence on the line.
Lesson 5
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Using a Fraction to Describe Equal Parts of a Shape
You can split a shape into equal parts. The area of each part is a fraction of the area of the whole.
Example
Identify
What fraction of the total area is blue? Write the fraction.
The picture shows a tray in Mrs. Dixon’s jewelry box. The orange parts are for bracelets. The red part is for rings. The yellow parts are for necklaces. What fraction of the total area of the tray is for rings? How do you know?
Lesson 6
Name __________________________________________
Finding a Perimeter or Unknown Side Length
Perimeter is the distance around a figure.
Examples
Solve
Find the perimeter.
Find the length of the unknown side.
perimeter: 30 m
unknown side: ______
perimeter: 14 in
unknown side: ______
perimeter: 16 ft
unknown side: ______
Lesson 7
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Finding Area and Perimeter
Two shapes can have the same perimeter but different areas. Two shapes can also have the same area but different perimeters.
Examples
These rectangles have the same perimeter but different areas.
perimeter: 2 + 6 + 2 + 6 = 16 inches area: 2 × 6 = 12 square inches
perimeter: 3 + 5 + 3 + 5 = 16 inches area: 3 × 5 = 15 square inches
These rectangles have the same area but different perimeters.
perimeter: 1 + 6 + 1 + 6 = 14 inches area: 1 × 6 = 6 square inches
perimeter: 2 + 3 + 2 + 3 = 10 inches area: 2 × 3 = 6 square inches
Solve
Look at the shape on the left. Then follow the directions and circle your answer.
Circle the shape with the same area but different perimeter.
Circle the shape with the same perimeter but different area.
Lesson 8
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Problem Solving
Pictures can provide information. You can use this information to solve problems.
Example
Solve
Use the picture to help you find the answers.
Ramona wants to carpet the floor of her puppy’s doghouse. She cannot spend more than $27.00. Does she have enough money to buy blue carpeting? Explain.
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Which color carpeting should Ramona buy?
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Chapter 12 Test
Count or multiply to find the area of each figure.
Write a multiplication sentence for each area model.
Look at the area model. Circle the multiplication sentence that matches.
4 × (4 + 2) = 16 square units
2 × (4 + 2) = 16 square units
4 × (2 + 2) = 16 square units
Selma is decorating the cover of her journal with stickers. The cover is 6 units by 7 units. Each sticker covers 1 square unit. How many stickers does Selma need to decorate every unit of the whole journal cover? Find 6 × 7 by breaking apart 7. Use 3 for one of the addends. Use the area model to help you.
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What fraction of the total area is red? Write the fraction.
Find the perimeter.
Find the length of the unknown side.
perimeter: 19 m
unknown side: ______
perimeter: 15 in
unknown side: ______
perimeter: 13 ft
unknown side: ______
Use the picture to help you solve.
An artist charges $8 for each square unit of surface space that she paints. How much did she charge for this painting?
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