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- 1. Story Problems & Key Words<br />
- 2. double<br />plus<br />divided<br />raise<br />More than<br />exceed<br />How many more?<br />In each<br />increased<br />times<br />distribute<br />gain<br />left<br />sum<br />difference<br />ratio<br />Added to<br />minus<br />per<br />triple<br />average<br />total<br />of<br />quotient<br />product<br />decreased<br />together<br />twice<br />fewer<br />
- 3. Problem Solving Strategies<br />Strategies:<br />Read the problem carefully.<br />Underline the Key Words<br />Box the necessary information (numbers)<br />Are units mentioned in the question? If so circle them.<br />Cross out unnecessary information (size of paper, etc.)<br />Write a number sentence that relates to the above information.<br />Solve the problem β donβt forget units.<br />Does the answer make sense?<br />
- 4. Example 1<br />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?<br />
- 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?<br />Example 1<br />What operation is indicated?<br />
- 6. What is the math sentence?<br />36Β β9<br />Β <br />27Β πππππ <br />Β <br />Does the answer make sense?<br />
- 7. Example 2<br />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?<br />
- 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?<br />Example 2<br />What operation is indicated?<br />
- 9. What is the math sentence?<br />25+55<br />Β <br />80Β πππ ππ <br />Β <br />Does the answer make sense?<br />
- 10. Example 3<br />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?<br />
- 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?<br />Example 3<br />What operation is indicated?<br />
- 12. What is the math sentence?<br />4059Γ·369<br />Β <br />$11<br />Β <br />Does the answer make sense?<br />
- 13. Example 4<br />Each bushel of apples has 87 apples in it. How many apples are in 37 bushels?<br />
- 14. Each bushel of apples has 87 apples in it. Each bushel can make 12 apple pies. How many apples are in 37 bushels?<br />Example 4<br />
- 15. What is the math sentence?<br />87Β β37<br />Β <br />3,219 apples<br />Β <br />Does the answer make sense?<br />
- 16. Does this<br />ALWAYS<br />work?<br />
- 17. Unfortunately<br />NO<br />
- 18. Different Strategies<br />Read the problem carefully.<br />What do you know from the problem? Does it provide clues?<br />What do you need to know?<br />Eliminate unnecessary information.<br />Draw a sketch or model<br />Can you use a simple problem with the same conditions? <br />(buying 2 pair of jeans)<br />Try to restate the problem in your own words.<br />What are we trying to determine?<br />Can you write it to contain a key word?<br />Make a plan.<br />How will you try to solve the problem?<br />Does the answer make sense?<br />
- 19. Example 5<br />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?<br />
- 20. What do we know?<br />The car gets 50 miles per gallon.<br />He purchases 14 gallons of gas.<br />
- 21. What do we need to know?<br />How many miles can Mr. John drive on 14 gallons?<br />
- 22. Is there any unnecessary information?<br />No.<br />
- 23. Can you use a simpler example that will help you figure out what operation to use? Use something you are familiar with.<br />You earn $8 per hour. How much do you earn in 3 hours?<br />$24. What operation did you use to determine your pay?<br />
- 24. Write the math sentence.<br />50Β β14<br />Β <br />700Β miles<br />Β <br />Does the answer make sense?<br />
- 25. Example 6<br />You are asked for a quote for business cards. The print shop tells you that they can cut 8 from every 8 Β½ x 11 sheet. How many sheets are needed to print 1000 business cards?<br />
- 26. What do we know?<br />We can get 8 cards per sheet.<br />We need to print 1000 cards.<br />
- 27. Is there any unnecessary information?<br />At this point we donβt need to know the paper size.<br />
- 28. Can you use a simpler example that will help you figure out what operation to use? Use something you are familiar with.<br />You can get 12 cookies on each baking sheet. How many sheets do you need to bake 24 cookies?<br />2 sheets. What operation did you use?<br />
- 29. Can we rewrite the question?<br />How many equal sets of 8 do I need to produce 1000 cards?<br />
- 30. Write the math sentence.<br />1000Γ·Β 8<br />Β <br />125Β π hπππ‘π <br />Β <br />Does the answer make sense?<br />
- 31. On Your Own<br />The print shop produces 15897 pamphlets in 3 days. What is the average production per day? <br />
- 32. The print shop produces 15897 pamphlets in 3 days. What is the average production per day? <br />On Your Own<br />
- 33. Write the math sentence.<br />15897Γ·Β 3<br />Β <br />5299Β ππππhπππ‘π Β πππΒ πππ¦<br />Β <br />Does the answer make sense?<br />

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