2. double plus divided raise More than exceed How many more? In each increased times distribute gain left sum difference ratio Added to minus per triple average total of quotient product decreased together twice fewer
3. Problem Solving Strategies Strategies: Read the problem carefully. Underline the Key Words Box the necessary information (numbers) Are units mentioned in the question? If so circle them. Cross out unnecessary information (size of paper, etc.) Write a number sentence that relates to the above information. Solve the problem – don’t forget units. Does the answer make sense?
4. Example 1 Tripp and Charlotte are going on a 36 mile hike. Tripp's backpack weighs 25 pounds. Charlotte's back pack weighs 7 pounds less. They hiked 9 miles the first day. How many miles do they have left?
5. Tripp and Charlotte are going on a 36 mile hike. Tripp's backpack weighs 25 pounds. Charlotte's back pack weighs 7 pounds less. They hiked 9 miles the first day. How many miles do they have left? Example 1 What operation is indicated?
6. What is the math sentence? 36 −9 27 𝑚𝑖𝑙𝑒𝑠 Does the answer make sense?
7. Example 2 The Sweet Shop gets a new candy shipment every 35 days. There are 25 cases of chocolate bars. There are 55 cases of lollipops. How many cases of candy altogether?
8. The Sweet Shop gets a new candy shipment every 35 days. There are 25 cases of chocolate bars. There are 55 cases of lollipops. How many cases of candy altogether? Example 2 What operation is indicated?
9. What is the math sentence? 25+55 80 𝑐𝑎𝑠𝑒𝑠 Does the answer make sense?
10. Example 3 In a month, a printer specializing in printing business cards sells 369 orders for a total of $4059. What is the average cost for each order?
11. In a month, a printer specializing in printing business cards sells 369 orders for a total of $4059. What is the average cost for each order? Example 3 What operation is indicated?
12. What is the math sentence? 4059÷369 $11 Does the answer make sense?
13. Example 4 Each bushel of apples has 87 apples in it. How many apples are in 37 bushels?
14. Each bushel of apples has 87 apples in it. Each bushel can make 12 apple pies. How many apples are in 37 bushels? Example 4
15. What is the math sentence? 87 ∙37 3,219 apples Does the answer make sense?
18. Different Strategies Read the problem carefully. What do you know from the problem? Does it provide clues? What do you need to know? Eliminate unnecessary information. Draw a sketch or model Can you use a simple problem with the same conditions? (buying 2 pair of jeans) Try to restate the problem in your own words. What are we trying to determine? Can you write it to contain a key word? Make a plan. How will you try to solve the problem? Does the answer make sense?
19. Example 5 Mr. John's new hybrid car gets him 50 miles per gallons. If Mr. John get a full tank with 14 gallons of gas, How far can Mr. John go?
20. What do we know? The car gets 50 miles per gallon. He purchases 14 gallons of gas.
21. What do we need to know? How many miles can Mr. John drive on 14 gallons?
23. Can you use a simpler example that will help you figure out what operation to use? Use something you are familiar with. You earn $8 per hour. How much do you earn in 3 hours? $24. What operation did you use to determine your pay?
24. Write the math sentence. 50 ∙14 700 miles Does the answer make sense?
25. Example 6 You are asked for a quote for business cards. The print shop tells you that they can cut 8 from every 8 ½ x 11 sheet. How many sheets are needed to print 1000 business cards?
26. What do we know? We can get 8 cards per sheet. We need to print 1000 cards.
27. Is there any unnecessary information? At this point we don’t need to know the paper size.
28. Can you use a simpler example that will help you figure out what operation to use? Use something you are familiar with. You can get 12 cookies on each baking sheet. How many sheets do you need to bake 24 cookies? 2 sheets. What operation did you use?
29. Can we rewrite the question? How many equal sets of 8 do I need to produce 1000 cards?
30. Write the math sentence. 1000÷ 8 125 𝑠h𝑒𝑒𝑡𝑠 Does the answer make sense?
31. On Your Own The print shop produces 15897 pamphlets in 3 days. What is the average production per day?
32. The print shop produces 15897 pamphlets in 3 days. What is the average production per day? On Your Own
33. Write the math sentence. 15897÷ 3 5299 𝑝𝑎𝑚𝑝h𝑙𝑒𝑡𝑠 𝑝𝑒𝑟 𝑑𝑎𝑦 Does the answer make sense?
