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 Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 The teacher made 4 teams of 8 children. How many children altogether? The teacher made 4 teams of 9 children. How many children altogether? The teacher made 4 teams of 15 children. How many children altogether?

3. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 The school had 4 classes of 28 children. How many children altogether? The school had 4 classes of 32 children. How many children altogether? The school had 4 classes of 36 children. How many children altogether?

4. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 32 children are divided into 4 teams. How many in each team? 56 children are divided into 4 teams. How many in each team? 64 children are divided into 4 teams. How many in each team?

5. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 The school divided 96 children into 4 classes. How many children in each class? The school divided 108 children into 4 classes. How many children in each class? The school divided 120 children into 4 classes. How many children in each class?

6. Problem Solving Multiplication and Division by 4 Multiplication and Division 11 Patterns and Algebra 18

7. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 A group of children paid $4 each to see a show. Altogether the group paid $24 How many children were in the group? A group of children paid $4 each to see a show. Altogether the group paid $88 How many children were in the group? A group of children paid $4 each to see a show. Altogether the group paid $72 How many children were in the group?

8. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 Cupcakes are sold in boxes of 4. Jemima wants to give one cupcake to each of her 28 classmates. What is the least number of boxes that Jemima needs? Cupcakes are sold in boxes of 4. Jemima wants to give one cupcake to each of her 16 classmates. What is the least number of boxes that Jemima needs? Cupcakes are sold in boxes of 4. Jemima wants to give one cupcake to each of her 36 classmates. What is the least number of boxes that Jemima needs?

9. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 In a garden, there are 4 tomato plants for every 1 lettuce plant. There are 4 lettuce plants. How many tomato plants are in the garden? In a garden, there are 4 tomato plants for every 1 lettuce plant. There are 12 lettuce plants. How many tomato plants are in the garden? In a garden, there are 4 tomato plants for every 1 lettuce plant. There are 52 lettuce plants. How many tomato plants are in the garden?

10. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 Roland is paid the same amount for each lawn he mows. He gets paid $20 for mowing 4 lawns. How many lawns does he need to mow to get paid $30? Roland is paid the same amount for each lawn he mows. He gets paid $20 for mowing 4 lawns. How many lawns does he need to mow to get paid $60? Roland is paid the same amount for each lawn he mows. He gets paid $20 for mowing 4 lawns. How many lawns does he need to mow to get paid $70?

11. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 Jenna makes 32 pizzas. She puts them on 4 trays. What number sentence shows how Jenna could work out the number of pizzas on each tray? Jenna makes 60 pizzas. She puts them on 4 trays. What number sentence shows how Jenna could work out the number of pizzas on each tray? Jenna makes 12 pizzas. She puts them on 4 trays. What number sentence shows how Jenna could work out the number of pizzas on each tray?

12. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 Toni bought 4 apples. Apples cost 30 cents each. How much did Toni have to pay? Toni bought 4 apples. Apples cost 35 cents each. How much did Toni have to pay? Toni bought 4 apples. Apples cost 52 cents each. How much did Toni have to pay?

13. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 4 classes each have 24 children and 1 class has 25 children. How many children altogether? 4 classes each have 28 children and 1 class has 25 children. How many children altogether? 4 classes each have 31 children and 1 class has 27 children. How many children altogether?

14. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 There are 2 number cards. Use the number cards to make this number sentence true: x 4 = 52 31 There are 2 number cards. Use the number cards to make this number sentence true: x 4 = 168 2 4

15. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 Jenna has 2 cards. She makes a two-digit number and multiplies it by 4. What products could Jenna make? 23 Jenna has 2 cards. She makes a two-digit number and multiplies it by 4. What products could Jenna make? Jenna has 2 cards. She makes a two-digit number and multiplies it by 4. What products could Jenna make? 4 1 50

16. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 A budgie is about 13 cm long. A parrot is about 4 times as long as a budgie. About how long is a parrot? A budgie is about 11 cm long. A parrot is about 4 times as long as a budgie. About how long is a parrot? A budgie is about 19 cm long. A parrot is about 4 times as long as a budgie. About how long is a parrot?

17. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 A child has 6 packets of pencils. There are 4 pencils in each small packet. There are 10 pencils in each large packet. The child has 4 small packets. How many pencils does he have altogether? A child has 8 packets of pencils. There are 4 pencils in each small packet. There are 10 pencils in each large packet. The child has 5 small packets. How many pencils does he have altogether? A child has 9 packets of pencils. There are 4 pencils in each small packet. There are 10 pencils in each large packet. The child has 3 small packets. How many pencils does he have altogether?

18. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 Sophie recorded this true number sentence. 6 x 4 = 24. What other number sentence is also true? 24 x 6 = 4 4 x 6 = 24 6 x 24 = 4 Sophie recorded this true number sentence. 56 x 4 = 224. What other number sentence is also true? 224 x 4 = 56 4 x 56= 224 6 x 56 = 224 Sophie recorded this true number sentence. 6 x 40 = 240. What other number sentence is also true? 24 x 60 = 40 40 x 6 = 240 6 x 240 = 40

19. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 Mary had 32 beads. Tom had quarter as many. How many beads did Tom have? Mary had 88 beads. Tom had quarter as many. How many beads did Tom have? Mary had 64 beads. Tom had quarter as many. How many beads did Tom have?

20. Problem Solving Multiplication and Division by 4 Create your own problem! Now solve it! Multiplication and Division 11 Patterns and Algebra 18 A fork is 10 centimetres long. 4 forks are the same length as 2 chop sticks. How many centimetres long is 1 chop stick? A fork is 16 centimetres long. 4 forks are the same length as 2 chop sticks. How many centimetres long is 1 chop stick?