Math Unit 4 Lesson 10 Solve word problems involving area.

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Presentation transcript:

Math Unit 4 Lesson 10 Solve word problems involving area.

SKIP COUNT! Skip Count By 6s To 60 … Skip Count By 7s To 70 … Skip Count by 8s to 80 … Skip Count by 9s to 90 …

PATTERN SHEET

Terms  Ι Width Ι   Length  Terms we will need to know for today’s word problems!

Find the side length Area =10 sq.units 2 units ____ units What is the length of the rectangle? 3

Find the side length Area =15 sq.units ____ units 5 units What is the width of the rectangle? 3

Find the side length Area =18 sq.units 3 units _____ units What is the length of the rectangle? 6

Find the side length Area =24 sq.units ____ units 6 units What is the width of the rectangle? 4

Problem of the Day Find the area of a 6 meter by 9 meter rectangle: Use the associative property to find different side lengths for a second rectangle with the same area: (3 x 3) x 6 = 54 3 x (3 x 6) 3 x 18 Draw what the new rectangle might look like! 6 m 9 m 18 m 3 m

Solve Word Problems with 1 unknown side length The area of Theo’s banner is 32 square feet. If the length of his banner measures 4 feet, how wide is his banner? Is this the right shape for Theo’s banner? 4 ft w

Solve Word Problems with 1 unknown side length Talk to your partner: Is this area model a good representation of the rectangle in the problem? How do you know? Is this the right shape for Theo’s banner? 4 ft w

Solve Word Problems with 1 unknown side length Draw what you think the rectangle should look like on your white board. This is the right shape for Theo’s banner! 4 ft w

Solve Word Problems with 1 unknown side length Now let’s find the missing side length. How can we find the value of w? Area = 32 square feet 4 ft w 32 ÷ 4 = w w = 8

Find the area of a large rectangle Joey is getting new carpet in his bedroom, which measures 7 feet by 15 feet. How many square feet of carpet will he need? Draw a model to represent the bedroom.

Find the area of a large rectangle Talk to your partner: How can we find the area of Joey’s bedroom since the measurements are so large? 15 ft 7 ft Area: 7 x 15

Find the area of a large rectangle We could break the room up into smaller rectangles! Decide with your partner how to break the rectangle up, then solve for the area. 15 ft 7 ft Area: 7 x 15

Find the area of a large rectangle We could break the room up into smaller rectangles! Decide with your partner how to break the rectangle up, then solve for the area. 10 ft 7 ft 5 ft 7 x 10 7 x = 105 Joey needs 105 square feet of carpet for his bedroom.

Problem Set!