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Proportion Situations

Proportion Situations. Linked Stories and Ratios. Ratio Table. A grocery store is advertising 4 pears for $6. We can make a Ratio Table based on the pears for sale. This ratio is written as… 4 : 6 This ratio is read as… “four to six” . Pears. Dollars. 4. 6. 0. 0. +6. +4. +6.

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Proportion Situations

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  1. Proportion Situations

  2. Linked Stories and Ratios Ratio Table A grocery store is advertising 4 pears for $6. We can make a Ratio Table based on the pears for sale. This ratio is written as… 4 : 6 This ratio is read as… “four to six” Pears Dollars 4 6 0 0 +6 +4 +6 +4 4 6 12 8 +6 +4 18 12 +6 +4 +4 +6 24 16 20 30 +4 +6 24 36 +6 +4 42 +6 +4 28 48 32

  3. Linked Stories and Ratios Ratio Table Pears Dollars A proportion compares two ratios… 4 6 4 : 6 24 : 36 = 0 0 +6 +4 +6 +4 4 6 :: 24 : 36 4 : 6 12 8 +6 +4 18 This is read as… “4 is to 6 as 24 is to 36” 12 +6 +4 +4 +6 24 16 20 30 +4 +6 24 36 +6 +4 42 +6 +4 28 48 32

  4. Linked Stories and Ratios Here is a proportion problem… Fiona bought 8 pears for $12. How much will it cost for me to buy 28 pears? Ratio Table Pears Dollars 4 6 0 0 +6 +4 +6 +4 4 6 8 : 12 28 : c = 12 8 +6 +4 c = 42 18 12 +6 +4 +4 +6 It will cost me $42 to purchase 28 pears. 24 16 20 30 +4 +6 24 36 +6 +4 42 +6 +4 28 48 32

  5. Linked Stories and Ratios Here is a proportion problem… Fiona bought 8 pears for $12. How much will it cost for me to buy 28 pears? Ratio Table Pears Dollars 4 6 0 0 +6 +4 You can also use a Factor Puzzle to solve… +6 +4 4 6 Factor Puzzle Review 12 8 +6 +4 Pears Dollars 18 12 +6 +4 6 4 +4 +6 24 16 12 8 20 30 +4 +6 2 2 24 36 +6 +4 28 c 42 7 7 42 +6 +4 28 6 4 48 32

  6. Factor Puzzles × Table Columns 7 4 14 8 2 2 24 42 6 6 7 4 × Table Rows

  7. Factor Puzzles back 7 3 3 7 12 28 4 4 n 27 9 9 If 27 is in the 3s column, then 3 times what is 27? 4 4 7 3 If 28 is in the 4s row, then 4 times what is 28? • What count-by has 12 and 28? The 4s 9 • What count-by has 12 and 27? The 3s 9 9 7 • How can you find the row of 27 and n? 27 & n are in the 9s row • How can you find the column of 28 and n? 3 7 28 & n are in the 7s column

  8. Linked Stories, Ratios, & Factor Puzzles When Dena planted 10 carrots, Niloofar planted 8. If Dena plants 45 carrots, how many will Niloofar plant? • What count-by has 10 and 45? Dena Niloofar 4 5 • 2 times what gives us 8? • What count-by has 10 and 8? 8 10 2 2 45 36 • 5 times what gives us 45? 9 9 • 9 times 4 = 36 4 5 Niloofar will plant 36 carrots.

  9. Linked Stories, Ratios, & Factor Puzzles Dena had 6 pens, Niloofar had 10 pens. How many pens will Dena have when Niloofar has 35? • What count-by has 6 and 10? Dena Niloofar • What count-by has 10 and 35? 5 3 • 2 times what gives us 6? 10 6 2 2 21 35 • 5 times what gives us 35? • 3 times 7 = 21 7 7 5 3 Dena will have 21 pens.

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