1. Implementation
Review the mathematical concept.
Review the problem solving steps.
READ: Children read the part that is asking them to find something out.
UNDERSTAND: Children explain what they need to find out.
Children identify what information they will need to find it out.
Remove the coloured rectangle.
Children find the information they need to find it out.
CHOOSE A STRATEGY: Children identify strategies that they could use to find it out.
USE A STRATEGY: Children use a strategy to find it out.
Children record their thinking as they find it out.
CHECK: Children reread the part that asked them to find something out.
Children check that they have found it out.
Children check they have recorded their solution correctly.
Children follow the problem solving steps to solve the 2nd level of the problem, with minimal teacher guidance.
Children who solve the 2nd level, follow the problem solving steps to solve the 3rd level of the problem independently.
Children use the problems as a guide to create their own problem, either alone or in pairs/small groups.
Children solve their own problem.
Throughout the lesson, children share solution strategies.
At the end of the lesson, children explain how they created their own problems.

2. Mary recorded some fractions equivalent to 1 2 .
Problem Solving
Equivalent Fractions
Mary recorded some fractions equivalent to
What fractions could she have recorded?
Mary recorded some fractions equivalent to
What fractions could she have recorded?
Mary recorded some fractions equivalent to
What fractions could she have recorded?
Fractions and Decimals 13
Create your own problem! Now solve it!

3. What are the missing numbers? 1 2 = 6 = 12 = 7
Problem Solving
Equivalent Fractions
What are the missing numbers?
1 2 = = = 7
What are the missing numbers?
1 𝟒 = 𝟖 = 𝟏𝟐 = 𝟏𝟔
What are the missing numbers?
1 𝟓 = 𝟏𝟎 = 𝟏𝟓 = 𝟐𝟓
Fractions and Decimals 13
Create your own problem! Now solve it!

4. Tony recorded some fractions equivalent to 2 5 .
Problem Solving
Equivalent Fractions
Tony recorded some fractions equivalent to
What fractions could he have recorded?
Tony recorded some fractions equivalent to
What fractions could he have recorded?
Tony recorded some fractions equivalent to
What fractions could he have recorded?
Fractions and Decimals 13
Create your own problem! Now solve it!

5. What are the missing numbers? 2 5 = 15 = 30 = 10
Problem Solving
Equivalent Fractions
What are the missing numbers?
2 5 = = = 10
What are the missing numbers?
3 4 = = = 28
What are the missing numbers?
4 6 = = = 20
Fractions and Decimals 13
Create your own problem! Now solve it!

6. Problem Solving
Equivalent Fractions
Fractions and Decimals 13

7. What could the missing numbers be? 𝟏 = 𝟓 = 𝟑
Problem Solving
Equivalent Fractions
What could the missing numbers be?
𝟏 = 𝟓 = 𝟑
What could the missing numbers be?
𝟏 = 𝟒 = 𝟔
What could the missing numbers be?
𝟐 = 𝟖 = 𝟏𝟐
Fractions and Decimals 13
Create your own problem! Now solve it!

8. Alice and Kylie shared a pizza. Alice ate 𝟐 𝟓 of the pizza.
Problem Solving
Equivalent Fractions
Alice and Kylie shared a pizza. Alice ate 𝟐 𝟓 of the pizza.
Kylie ate 𝟒 𝟏𝟎 of the pizza.
Did one girl eat more or did both girls eat the same?
Alice and Kylie shared a pizza. Alice ate 𝟖 𝟏𝟐 of the pizza.
Kylie ate 𝟒 𝟔 of the pizza.
Did one girl eat more or did both girls eat the same?
Fractions and Decimals 13
Create your own problem! Now solve it!

9. How did Mitchell group them?
Problem Solving
Equivalent Fractions
Mitchell placed these fractions in 2 groups of equivalent fractions but they got mixed up.
𝟏 𝟒 𝟐 𝟖 𝟒 𝟏𝟐 𝟑 𝟏𝟐 𝟐 𝟔
How did Mitchell group them?
Mitchell placed these fractions in 2 groups of equivalent fractions but they got mixed up.
1 𝟓 𝟓 𝟏𝟎 𝟐 𝟏𝟎
How did Mitchell group them?
Fractions and Decimals 13
Create your own problem! Now solve it!

10. Wendy shaded a fraction of this rectangle.
Problem Solving
Equivalent Fractions
Wendy shaded a fraction of this rectangle.
Leonie shaded an equivalent fraction on this rectangle.
What fraction did Leonie shade?
Wendy shaded a fraction of this rectangle.
Leonie shaded an equivalent fraction on this rectangle.
What fraction did Leonie shade? a
Fractions and Decimals 13
Create your own problem! Now solve it!

11. Create your own problem! Now solve it!
Problem Solving
Equivalent Fractions
A lolly is made with equal layers.
The layers are white or red.
What fraction of the lolly is made of white layers?
𝟐 𝟑 𝟑 𝟓 𝟐 𝟓 𝟏 𝟑
A lolly is made with equal layers.
The layers are white or red.
What fraction of the lolly is made of white layers?
𝟐 𝟑 𝟑 𝟓 𝟐 𝟓 𝟏 𝟑
Fractions and Decimals 13
Create your own problem! Now solve it!