1. Warmup 8/12/10 Write and solve an equation for each problem. You do not have to copy the problem. 1.The perimeter of a rectangle is 48. If the length is 6 more than twice the width, find the dimensions. 2.Sally is twelve years older than Bob. If the sum of their ages is 56, find Bob’s age. 3.The area of a rectangle is 112. Find the length if the width is 18. Round to the 2 nd decimal place. 4. Nineteen more than 1/3 of a number is 6 less than the number. Find the number. l = 18; w = 6 Bob is 22 years old l = 6.22 units The number is 37.5

2. 70 sq units 34 units 12.25 sq units 14 units 28x 2 +59x+30 sq units 22x+22 units 294 sq units 84 units 0.3 sq units 2.5 units

3. Use Problem Solving Strategies Solve problems using verbal models.

4. Let’s look at some history… Where did the “Steps for Solving Problems” come from?

5. Example 1 A rectangular corral has an area of 3500 square meters. If the length of the corral is 75 meters, what is the width of the corral? Read carefully Underline Key Words Have you seen a problem like this? What did you need to do? What facts are you given? What do you need to find out? Clues

6. Example 1 continued A rectangular corral has an area of 3500 square meters. If the length of the corral is 75 meters, what is the width of the corral? Define the game plan Have you seen a problem like this before? Identify what you did. Define the strategy to solve the problem. Try out your strategy. Let’s try writing an equation using area of a rectangle Game Plan What are we using?

7. Example 1 continued again A rectangular corral has an area of 3500 square meters. If the length of the corral is 75 meters, what is the width of the corral? Use your strategy to solve the problem. Solve

8. Example 1 continued again A rectangular corral has an area of 3500 square meters. If the length of the corral is 75 meters, what is the width of the corral? VERY Critical. Look over your solution. Does it seem probable? Did you answer the question? Are you SURE? Did you answer using the language in the question? Same units? Reflect

9. You Try These 1. The perimeter of a rectangular city park is 1260 yards. The width of the park is 290 yards. What is the length of the park? 2. A boat travels at a speed of 32 miles per hour. How long will it take the boat to travel 144 miles?

10. Example 2 Look for a pattern in the table. Then write an equation that represents the table. Read carefully Underline Key Words Have you seen a problem like this? What did need to do you do? What facts are you given? What do you need to find out? Clues x0123 y061218

11. Example 2 continued Define the game plan Have you seen a problem like this before? Identify what you did. Define the strategy to solve the problem. Try out your strategy. Game Plan What are we using? Look for a pattern in the table. Then write an equation that represents the table. x0123 y061218

12. Example 2 continued Look for a pattern in the table. Then write an equation that represents the table. x0123 y061218 VERY Critical. Look over your solution. Does it seem probable? Did you answer the question? Are you SURE? Did you answer using the language in the question? Reflect

13. You Try These 3. 4. x0123 y0-3-6-9 x0123 y181522 Look for a pattern in the table. Then write an equation that represents the table.

14. Example 3 You are designing a square rock pond surrounded by a brick sidewalk of uniform width. The pond has a side length of 32 feet. The side length of the outside square is 40 feet. Find the width of the sidewalk. Read carefully Underline Key Words Have you seen a problem like this? What did need to do you do? What facts are you given? What do you need to find out? Clues

15. Example 3 You are designing a square rock pond surrounded by a brick sidewalk of uniform width. The pond has a side length of 32 feet. The side length of the outside square is 40 feet. Find the width of the sidewalk. Game Plan Let’s try drawing a picture!

16. Example 3 You are designing a square rock pond surrounded by a brick sidewalk of uniform width. The pond has a side length of 32 feet. The side length of the outside square is 40 feet. Find the width of the sidewalk. VERY Critical. Look over your solution. Does it seem probable? Did you answer the question? Are you SURE? Did you answer using the language in the question? Same units? Reflect

17. Try These 4. A piece of fabric is 50 inches long. You cut the fabric into two pieces. The first piece is x inches long. The second piece is 16 inches longer than the first piece. Draw and label a diagram of the fabric. The write and solve an equation to find x. 5. You want to create an open rectangular box from a square piece of cardboard. The cardboard is 24 inches by 24 inches and you will cut 3 inch squares from each corner. Draw a diagram to find the length of the box.

18. On Your Syllabus…. Page 4: #1-17 odd Page 5: #1 - 7 ALL