1. Graphical Approach to solve multi-step problems Cindy and George have equal number of pencils. After George gives 30 pencils to Cindy, she has 4 times as many pencils as George. How many pencils do they have altogether? Based on 70 Must Know Word Problems, Level 4 (Singapore: Singapore Asian Ltd., 2009)

2. Graphical Approach to solve multi-step problems Cindy and George have equal number of pencils. After George gives 30 pencils to Cindy, she has 4 times as many pencils as George. How many pencils do they have altogether? Based on 70 Must Know Word Problems, Level 4 (Singapore: Singapore Asian Ltd., 2009)

3. Graphical Approach to solve multi-step problems 1): They both have equal number of pencils. Cindy George

4. Graphical Approach to solve multi-step problems Cindy George 2): George gives Cindy 30 pencils.

5. Graphical Approach to solve multi-step problems Cindy George ? 2): George gives Cindy 30 pencils. 30 Pencils kept Given away

6. Graphical Approach to solve multi-step problems Cindy George ? 2): George gives Cindy 30 pencils. 30 Pencils kept Given away

7. Graphical Approach to solve multi-step problems Cindy George ? 2): George gives Cindy 30 pencils. Before Cindy gets more pencils, she has the same number as George. 30

8. Graphical Approach to solve multi-step problems Cindy George 2): George gives Cindy 30 pencils. ?30?

9. Graphical Approach to solve multi-step problems Cindy George 2): George gives Cindy 30 pencils. ?30 ?

10. Graphical Approach to solve multi-step problems Cindy George ? 30 ? 2): George gives Cindy 30 pencils.

11. Graphical Approach to solve multi-step problems Cindy George ? 30 ? ???? 3): Now Cindy has 4  more pencils than George.

12. Graphical Approach to solve multi-step problems Cindy George ? ?60 ???? 3): Now Cindy has 4  more pencils than George.

13. Graphical Approach to solve multi-step problems Cindy George 20 60 20 3): Now Cindy has 4  more pencils than George. Total number of pencils: 100

14. Graphical Approach to solve multi-step problems Cindy and George have equal number of pencils. After George gives 30 pencils to Cindy, she has 4 times as many pencils as George. How many pencils do they have altogether? Algebraic Approach

15. Graphical Approach to solve multi-step problems Algebraic Approach Pencils with Cindy: P Pencils with George: P

16. Graphical Approach to solve multi-step problems Algebraic Approach Pencils with Cindy: P Pencils with George: P George gives Cindy 30 pencils

17. Graphical Approach to solve multi-step problems Algebraic Approach Pencils with Cindy: P + 30 Pencils with George: P – 30 George gives Cindy 30 pencils

18. Graphical Approach to solve multi-step problems Algebraic Approach Cindy’s Pencil George’s Pencil Cindy has 4  more pencils than George = P + 30 P - 30 = 4

19. Graphical Approach to solve multi-step problems Algebraic Approach Cindy’s Pencil George’s Pencil = P + 30 P - 30 = 4 P+30 = 4 (P-30) = 4P –120

20. Graphical Approach to solve multi-step problems Algebraic Approach Cindy’s Pencil George’s Pencil = P + 30 P - 30 = 4 P+30 = 4 (P-30) = 4P –120 P+30 = 4P - 120 150 = 3P

21. Graphical Approach to solve multi-step problems Algebraic Approach 150 = 3P P = 50 The total number of pencils between Cindy and George: 100

22. Graphical Approach to solve multi-step problems Graphical approach Algebraic approach See Algebra steps visually. Accessible in 4 th grade Requires the knowledge in fractions & Ratios, and Pre- Algebra