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Graphical Approach to solve multi-step problems A farmer has 700 goats and sheep. After he sells 400 sheep and ¾ of his goat, he has equal number of goats and sheep. How many more sheep than goats he had before they were sold? Based on 70 Must Know Word Problems, Level 4 (Singapore: Singapore Asian Ltd., 2009)

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Graphical Approach to solve multi-step problems A farmer has 700 goats and sheep. After he sells 400 sheep and ¾ of his goat, he has equal number of goats and sheep. How many more sheep than goats he had before they were sold? Based on 70 Must Know Word Problems, Level 4 (Singapore: Singapore Asian Ltd., 2009)

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Graphical Approach to solve multi-step problems 1) Total number of goats and sheep: 700 700 GoatsSheep 2) Sells 400 sheep and ¾ of his goats. ?400

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Graphical Approach to solve multi-step problems 1) Total number of goats and sheep: 700 700 GoatsSheep 2) Sells 400 sheep and ¾ of his goats. 400? 3) Now he has equal number of goats and sheep.

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Graphical Approach to solve multi-step problems 1) Total number of goats and sheep: 700 700 GoatsSheep 2) Sells 400 sheep and ¾ of his goats. 400? 300 3) Now he has equal number of goats and sheep. ????

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Graphical Approach to solve multi-step problems 1) Total number of goats and sheep: 700 700 GoatsSheep 2) Sells 400 sheep and ¾ of his goats. 40060 300 60 3) Now he has equal number of goats and sheep.

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Graphical Approach to solve multi-step problems 700 GoatsSheep 2) Sells 400 sheep and ¾ of his goats. 40060 300 60 4) Number of sheep: 460 3) Now he has equal number of goats and sheep.

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Graphical Approach to solve multi-step problems 700 GoatsSheep 40060 300 60 4) Number of sheep: 460 Number of goats: 240 3) Now he has equal number of goats and sheep.

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Graphical Approach to solve multi-step problems 700 GoatsSheep 40060 300 60 4) Number of sheep: 460 Number of goats: 240 5) Originally, he had 220 more sheep than goats.

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Graphical Approach to solve multi-step problems A farmer has 700 goats and sheep. After he sells 400 sheep and ¾ of his goat, he has equal number of goats and sheep. How many more sheep than goats he had before they were sold? Based on 70 Must Know Word Problems, Level 4 (Singapore: Singapore Asian Ltd., 2009) Algebraic approach

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Graphical Approach to solve multi-step problems Algebraic approach G: Number of goats S: Number of sheep G + S = 700 Sells: ¾ of the goats, and 100 sheep

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Graphical Approach to solve multi-step problems G + S = 700 Sells: ¾ of the goats, and 400 sheep G = S – 400 4 Afterwards there are equal number of goats and sheep.

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Graphical Approach to solve multi-step problems G + S = 700 G = S – 400 4 Determine S – G

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Graphical Approach to solve multi-step problems G + S = 700 G = S – 400 4 G = 4(S – 400), and G = 700 – S, or 700 – S = 4S –1600

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Graphical Approach to solve multi-step problems G + S = 700 700 – S = 4S –1600 2300 = 5S, or 460 = S, and G = 700 – S = – 460 = 240

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Graphical Approach to solve multi-step problems S = 460, and G = 240, thus S – G = 220

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Graphical Approach to solve multi-step problems Graphical Algebraic approach Relies on the know- ledge of multiplication division and fraction of a whole number. Accessible to the students in 4 th grade. Requires the knowledge of Algebra: Two equations and two unknowns. Acces- sible to the students in 7 th grade.

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