1-1 Using a Problem-Solving Plan

1. 1-1 Using a Problem-Solving Plan

2. Four Step Problem-Solving Plan • Step 1: Explore • Read carefully • What do I know? • What do I need to know? • Is there enough to solve the problem? • Is there extra information?

3. Step 2: Plan • Reread to identify relevant facts • Determine how the facts relate to one another • Make a plan to solve the problem • Estimate the answer

4. Step 3: Solve • Use your plan to solve the problem • If your plan does not work, revise it or make a new one by asking “What did I do wrong?”

5. Step 4: Examine • Reread the problem • Ask, “Is my answer reasonable and close to my estimate?” • Ask, “Does my answer make sense?” • If not, solve the problem another way.

6. The following table shows the first-class mail rates in 2001. The table shows that weight of a letter and the respective cost to mail it first-class. We need to find out how much it will cost to mail a 9-oz letter.

7. The following table shows the first-class mail rates in 2001. The table shows that weight of a letter and the respective cost to mail it first-class. We need to find out how much it will cost to mail a 9-oz letter. • Step 1: Explore • Read carefully • What do I know? • What do I need to know? • Is there enough to solve the problem? • Is there extra information?

8. The following table shows the first-class mail rates in 2001. The table shows that weight of a letter and the respective cost to mail it first-class. We need to find out how much it will cost to mail a 9-oz letter. • Step 2: Plan • Reread to identify relevant facts • Determine how the facts relate to one another • Make a plan to solve the problem • Estimate the answer

9. The following table shows the first-class mail rates in 2001. The table shows that weight of a letter and the respective cost to mail it first-class. We need to find out how much it will cost to mail a 9-oz letter. • Step 3: Solve • Use your plan to solve the problem • If your plan does not work, revise it or make a new one by asking “What did I do wrong?”

10. The following table shows the first-class mail rates in 2001. The table shows that weight of a letter and the respective cost to mail it first-class. We need to find out how much it will cost to mail a 9-oz letter. • Step 4: Examine • Reread the problem • Ask, “Is my answer reasonable and close to my estimate?” • Ask, “Does my answer make sense?” • If not, solve the problem another way.

11. $2.02

12. The price of a large cheese pizza at Paul’s Pizza Place is $9.25. You receive a discount for each additional pizza ordered, up to 10. So, one pizza costs $9.25, two pizzas cost $8.75 each, three pizzas cost $8.25 each, etc. If you need 8 pizzas for a party, what is the cost per pizza?

13. $5.75

14. Vocabulary • conjecture • An educated guess • inductive reasoning • Making a conjecture based on patterns or examples of past events

15. Please find the next term in 1, 3, 9, 27, 81, … 243

16. Please find the next term in 1,4,16,64,256,… 1024

17. Please draw the next figure in the pattern.

18. Check for Understanding • Please complete page 9, Check for understanding, #1-8 • When an exact answer is not needed • Sample answer: 0,4,8,12,… • 1:33 p.m. • 60 • 17 • 37 • 3072 • $419.25