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Graphical Approach to solve multi-step problems

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?.

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Graphical Approach to solve multi-step problems

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  1. 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)

  2. 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)

  3. 700 ? 400 Goats Sheep Graphical Approach to solve multi-step problems 1) Total number of goats and sheep: 700 2) Sells 400 sheep and ¾ of his goats.

  4. 700 ? 400 Goats Sheep Graphical Approach to solve multi-step problems 1) Total number of goats and sheep: 700 2) Sells 400 sheep and ¾ of his goats. 3) Now he has equal number of goats and sheep.

  5. 700 Goats Sheep Graphical Approach to solve multi-step problems 1) Total number of goats and sheep: 700 2) Sells 400 sheep and ¾ of his goats. 3) Now he has equal number of goats and sheep. ? 400 ? ? ? ? 300

  6. 700 Goats Sheep Graphical Approach to solve multi-step problems 1) Total number of goats and sheep: 700 2) Sells 400 sheep and ¾ of his goats. 3) Now he has equal number of goats and sheep. 60 400 60 60 60 60 300

  7. 700 Goats Sheep Graphical Approach to solve multi-step problems 2) Sells 400 sheep and ¾ of his goats. 3) Now he has equal number of goats and sheep. 4) Number of sheep: 460 60 400 60 60 60 60 300

  8. 700 Goats Sheep Graphical Approach to solve multi-step problems 3) Now he has equal number of goats and sheep. 4) Number of sheep: 460 Number of goats: 240 60 400 60 60 60 60 300

  9. 700 Goats Sheep Graphical Approach to solve multi-step problems 4) Number of sheep: 460 Number of goats: 240 5) Originally, he had 220 more sheep than goats. 60 400 60 60 60 60 300

  10. 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) Graphical Approach to solve multi-step problems Algebraic approach

  11. 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

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

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

  14. 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

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

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

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

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