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 following table shows the first-class mail rates in 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.
Weight (oz)
Cost 1
$0.34 2
$0.55 3
$0.76 4
$0.97 5
$1.18

7. The following table shows the first-class mail rates in 2001
The following table shows the first-class mail rates in 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.
Weight (oz)
Cost 1
$0.34 2
$0.55 3
$0.76 4
$0.97 5
$1.18
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. Reread to identify relevant facts
The following table shows the first-class mail rates in 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.
Weight (oz)
Cost 1
$0.34 2
$0.55 3
$0.76 4
$0.97 5
$1.18
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. Use your plan to solve the problem
The following table shows the first-class mail rates in 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.
Weight (oz)
Cost 1
$0.34 2
$0.55 3
$0.76 4
$0.97 5
$1.18
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. Ask, “Is my answer reasonable and close to my estimate?”
The following table shows the first-class mail rates in 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.
Weight (oz)
Cost 1
$0.34 2
$0.55 3
$0.76 4
$0.97 5
$1.18
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
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 inductive reasoning An educated guess
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