graphical approach to solve multi-step problems cindy and george have equal number of pencils. after...
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Graphical Approach to solve multi-stepproblems
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)
Graphical Approach to solve multi-stepproblems
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)
Graphical Approach to solve multi-stepproblems
1): They both have equal number of pencils.
CindyGeorge
Graphical Approach to solve multi-stepproblems
CindyGeorge
2): George gives Cindy 30 pencils.
Graphical Approach to solve multi-stepproblems
CindyGeorge ?
2): George gives Cindy 30 pencils.
30
Pencils kept
Given away
Graphical Approach to solve multi-stepproblems
CindyGeorge ?
2): George gives Cindy 30 pencils.
30
Pencils kept
Given away
Graphical Approach to solve multi-stepproblems
CindyGeorge ?
2): George gives Cindy 30 pencils. Before Cindy gets more pencils, she has the same number as George.
30
Graphical Approach to solve multi-stepproblems
CindyGeorge
2): George gives Cindy 30 pencils.
? 30
? 30
Graphical Approach to solve multi-stepproblems
CindyGeorge
2): George gives Cindy 30 pencils.
? 30
? 30
Graphical Approach to solve multi-stepproblems
CindyGeorge ?
30? 30
2): George gives Cindy 30 pencils.
Graphical Approach to solve multi-stepproblems
CindyGeorge ?
30? 30
? ? ? ?
3): Now Cindy has 4 more pencils than George.
Graphical Approach to solve multi-stepproblems
CindyGeorge ?
? 60
? ? ? ?
3): Now Cindy has 4 more pencils than George.
Graphical Approach to solve multi-stepproblems
CindyGeorge 20
20 60
20 20 20 20
3): Now Cindy has 4 more pencils than George.
Total number of pencils: 100
Graphical Approach to solve multi-stepproblems
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
Graphical Approach to solve multi-stepproblems
Algebraic Approach
Pencils with Cindy: PPencils with George: P
Graphical Approach to solve multi-stepproblems
Algebraic Approach
Pencils with Cindy: PPencils with George: P
George gives Cindy 30 pencils
Graphical Approach to solve multi-stepproblems
Algebraic Approach
Pencils with Cindy: P + 30Pencils with George: P – 30
George gives Cindy 30 pencils
Graphical Approach to solve multi-stepproblems
Algebraic Approach
Cindy’s Pencil George’s Pencil
Cindy has 4 more pencils than George
=P + 30P - 30
= 4
Graphical Approach to solve multi-stepproblems
Algebraic Approach
Cindy’s Pencil George’s Pencil
=P + 30P - 30
= 4
P+30 = 4 (P-30) = 4P –120
Graphical Approach to solve multi-stepproblems
Algebraic Approach
Cindy’s Pencil George’s Pencil
=P + 30P - 30
= 4
P+30 = 4 (P-30) = 4P –120
P+30 = 4P - 120
150 = 3P
Graphical Approach to solve multi-stepproblems
Algebraic Approach
150 = 3P
P = 50
The total number of pencils betweenCindy and George: 100
Graphical Approach to solve multi-stepproblems
Graphicalapproach
Algebraicapproach
• See Algebra steps visually.• Accessible in 4th grade
• Requires the knowledge in fractions & Ratios, and Pre- Algebra
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