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 Equivalent Number Sentences Involving Addition and Subtraction Create your own problem! Now solve it! Addition and Subtraction 12 Patterns and Algebra 7 Alan had 3 toy cars and 5 marbles. Betty had 2 toy cars and 6 marbles. Do they have the same number of toys, or does one of the children have more toys? Record a number sentence to show this. Alan had 4 toy cars and 6 marbles. Betty had 6 toy cars and 4 marbles. Do they have the same number of toys, or does one of the children have more toys? Record a number sentence to show this. Alan had 3 toy cars and 2 marbles. Betty had 7 toy cars and 1 marble. Do they have the same number of toys, or does one of the children have more toys? Record a number sentence to show this.

3. Problem Solving Equivalent Number Sentences Involving Addition and Subtraction Create your own problem! Now solve it! Addition and Subtraction 12 Patterns and Algebra 7 The Sharks scored 3 goals in game 1 and 7 goals in game 2. The Goats scored 6 goals in game 1 and 4 goals in game 2. Did they score the same number of goals? Record a number sentence to show this. The Sharks scored 5 goals in game 1 and 7 goals in game 2. The Goats scored 4 goals in game 1 and 5 goals in game 2. Did they score the same number of goals? Record a number sentence to show this.

4. Problem Solving Equivalent Number Sentences Involving Addition and Subtraction Create your own problem! Now solve it! Addition and Subtraction 12 Patterns and Algebra 7 Gerry said that this number sentence is true: 5 + 2 = 10 – 3. Is he right? Why? Gerry said that this number sentence is true: 6 + 7 = 15 - 2. Is he right? Why? Gerry said that this number sentence is true: 4 + 7 = 7 - 4. Is he right? Why?

5. Problem Solving Equivalent Number Sentences Involving Addition and Subtraction Create your own problem! Now solve it! Addition and Subtraction 12 Patterns and Algebra 7 What number makes this number sentence true? 8 – 1 = 5 + ___ What number makes this number sentence true? 7+ 2 = 11 - ___ What number makes this number sentence true? 4+5 = 6 + ___

6. Problem Solving Equivalent Number Sentences Involving Addition and Subtraction Addition and Subtraction 12 Patterns and Algebra 7

7. Problem Solving Equivalent Number Sentences Involving Addition and Subtraction Create your own problem! Now solve it! Addition and Subtraction 12 Patterns and Algebra 7 2 rooms had 17 chairs altogether. How many chairs could be in each room? 2 rooms had 11 chairs altogether. How many chairs could be in each room? 2 rooms had 21 chairs altogether. How many chairs could be in each room?

8. Problem Solving Equivalent Number Sentences Involving Addition and Subtraction Create your own problem! Now solve it! Addition and Subtraction 12 Patterns and Algebra 7 Eric had 3 dominoes, each with 7 dots. What could the dominoes look like? Eric had 3 dominoes, each with 4 dots. What could the dominoes look like? Eric had 3 dominoes, each with 9 dots. What could the dominoes look like?