1. Implementation 1.Review the mathematical concept. 2.Review the problem solving steps. 3.READ: Children read the part that is asking them to find something out. 4.UNDERSTAND: Children explain what they need to find out. 5.Children identify what information they will need to find it out. 6.Remove the coloured rectangle. 7.Children find the information they need to find it out. 8.CHOOSE A STRATEGY: Children identify strategies that they could use to find it out. 9.USE A STRATEGY: Children use a strategy to find it out. 10.Children record their thinking as they find it out. 11.CHECK: Children reread the part that asked them to find something out. 12.Children check that they have found it out. 13.Children check they have recorded their solution correctly. 14.Children follow the problem solving steps to solve the 2 nd level of the problem, with minimal teacher guidance. 15.Children who solve the 2 nd level, follow the problem solving steps to solve the 3 rd level of the problem independently. 16.Children use the problems as a guide to create their own problem, either alone or in pairs/small groups. 17.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. Problem Solving Add and subtract decimals using place value and compensation. Addition and Subtraction 29 Fractions and Decimals 32 Place Value 32 Make up your own problem! Now solve it! Matt thought of a number. He added 36.8. The answer was 41.4. What number did Matt first think of? Matt thought of a number. He added 52.6. The answer was 71.2. What number did Matt first think of? Matt thought of a number. He added 42.5. The answer was 89.3. What number did Matt first think of?

3. Problem Solving Add and subtract decimals using place value and compensation. Addition and Subtraction 29 Fractions and Decimals 32 Place Value 32 Make up your own problem! Now solve it! Jenny showed this number on her calculator. 8.25 She changed it so that it became this number. 6.87 What did Jenny do to change 8.25 to 6.87? Jenny showed this number on her calculator. 14.65 She changed it so that it became this number. 6.87 What did Jenny do to change 14.65 to 6.87? Jenny showed this number on her calculator. 98.13 She changed it so that it became this number. 39.23 What did Jenny do to change 98.13 to 39.23?

4. Problem Solving Add and subtract decimals using place value and compensation. Addition and Subtraction 29 Fractions and Decimals 32 Place Value 32 Make up your own problem! Now solve it! Jenny showed this number on her calculator. 6.82 She changed it so that it became this number. 23.51 What did Jenny do to change 6.82 to 23.51? Jenny showed this number on her calculator. 14.75 She changed it so that it became this number. 52.36 What did Jenny do to change 14.75 to 52.36? Jenny showed this number on her calculator. 60.02 She changed it so that it became this number. 84.91 What did Jenny do to change 60.02 to 84.91?

5. Problem Solving Add and subtract decimals using place value and compensation. Addition and Subtraction 29 Fractions and Decimals 32 Place Value 32 Make up your own problem! Now solve it! Matt thought of a number. He subtracted 2.75. The answer was 3.58. What number did Matt first think of? Matt thought of a number. He subtracted 12.75. The answer was 7.62. What number did Matt first think of? Matt thought of a number. He subtracted 22.08. The answer was 16.21. What number did Matt first think of?

6. Problem Solving Add and subtract decimals using place value and compensation. Addition and Subtraction 29 Fractions and Decimals 32 Place Value 32

7. Problem Solving Add and subtract decimals using place value and compensation. Addition and Subtraction 29 Fractions and Decimals 32 Place Value 32 Make up your own problem! Now solve it! Adela added 2 numbers together and got 74.7. What might the numbers be? Adela added 2 numbers together and got 98.21. What might the numbers be? Adela added 2 numbers together and got 75.03. What might the numbers be?

8. Problem Solving Add and subtract decimals using place value and compensation. Addition and Subtraction 29 Fractions and Decimals 32 Place Value 32 Make up your own problem! Now solve it! Lydia recorded a subtraction number sentence using 2 numbers that equalled 5.7. What could the number sentences have been? Lydia recorded a subtraction number sentence using 2 numbers that equalled 1.6. What could the number sentences have been? Lydia recorded a subtraction number sentence using 2 numbers that equalled 10.09. What could the number sentences have been?

9. Problem Solving Add and subtract decimals using place value and compensation. Addition and Subtraction 29 Fractions and Decimals 32 Place Value 32 Make up your own problem! Now solve it! In a stack of 3 books, one book is 2.57 centimetres thick, another book is 3.82 centimetres thick and the third book is 2.78 centimetres thick. What is the thickness of the stack? In a stack of 3 books, one book is 4.36 centimetres thick, another book is 2.07 centimetres thick and the third book is 2.78 centimetres thick. What is the thickness of the stack? In a stack of 3 books, one book is 3.96 centimetres thick, another book is 3.76 centimetres thick and the third book is 2.90 centimetres thick. What is the thickness of the stack?

10. Problem Solving Add and subtract decimals using place value and compensation. Addition and Subtraction 29 Fractions and Decimals 32 Place Value 32 Make up your own problem! Now solve it! A stack of 3 books is 11.7 centimetres thick. One book is 4.5 centimetres thick. Another book is 2.2 centimetres thick. What is the thickness of the third book? A stack of 3 books is 9.4 centimetres thick. One book is 2.5 centimetres thick. Another book is 3.8 centimetres thick. What is the thickness of the third book? A stack of 3 books is 13.8 centimetres thick. One book is 4.3 centimetres thick. Another book is 1.7 centimetres thick. What is the thickness of the third book?

11. Problem Solving Add and subtract decimals using place value and compensation. Addition and Subtraction 29 Fractions and Decimals 32 Place Value 32 Make up your own problem! Now solve it! What number will make this number sentence true? 22.36 + 9.18 = ____ + 11.27 What number will make this number sentence true? 4.52 + 3.68 = ____ + 3.7 What number will make this number sentence true? 59.96 + 54.32 = ____ + 86.07

12. Problem Solving Add and subtract decimals using place value and compensation. Addition and Subtraction 29 Fractions and Decimals 32 Place Value 32 Make up your own problem! Now solve it! Three sign posts are on a road. Signpost B is exactly halfway between Signpost A and Signpost C. What is the distance between Signpost B and the house? Three sign posts are on a road. Signpost B is exactly halfway between Signpost A and Signpost C. What is the distance between Signpost B and the house?