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 Multiply and Divide Decimals The product of 2 numbers is 14.4. What could the 2 numbers be? Create your own problem! Now solve it! The product of 2 numbers is 12.4. What could the 2 numbers be? The product of 2 numbers is 12. What could the 2 numbers be? Place Value 29, Multiplication Division 26, Fractions Decimals 26

3. Problem Solving Multiply and Divide Decimals I multiplied a decimal number by 15 and got an answer less than 15. What might the decimal number be? Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 I multiplied a decimal number by 12 and got an answer less than 12. What might the decimal number be? I multiplied a decimal number by 10 and got an answer less than 15. What might the decimal number be?

4. Problem Solving Multiply and Divide Decimals The area of the rectangle is 1.6 square centimetres. What might the perimeter be? Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 The area of the rectangle is 2.4 square centimetres. What might the perimeter be? The area of the rectangle is 16 square centimetres. What might the perimeter be?

5. Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 What might the missing numbers be?. x. =. What might the missing numbers be?. x =.

6. Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 I divided 3.6 by a whole number and got 1.2. What number did I divide by? I divided 2.4 by a whole number and got 1.2. What number did I divide by? I divided 24 by a whole number and got 12. What number did I divide by?

7. Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 I divided a decimal by a whole number and got 6.2. What number might I have divided by? I divided a decimal by a whole number and got 6. What number might I have divided by? I divided a decimal by a whole number and got 2. What number might I have divided by?

8. Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 There are 2 number cards. Use the number cards to make this number sentence true:. x 9 = 27.9 8 4 There are 2 number cards. Use the number cards to make this number sentence true:. x 6 = 37.2 2 6 There are 2 number cards. Use the number cards to make this number sentence true:. x 4 = 4.8 2 1

9. Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 A gecko is 8.5 cm long. A frilled-neck lizard is 9 times as long as a gecko. How long is a frilled-neck lizard? A budgie is 8.5 cm long. A galah is 4 times as long as a budgie. How long is a budgie? A cockroach is 2.8 cm long. A rat is 9 times as long as a cockroach. How long is a cockroach?

10. Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 Jenna has 2 cards. She makes a two-digit number that includes decimals and multiplies it by 9. What products could Jenna make? 2 3 Jenna has 2 cards. She makes a two-digit number that includes decimals and multiplies it by 8. What products could Jenna make? 1 5

11. Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 What number, when divided by 9, would have a quotient of 0.7? What number, when divided by 7, would have a quotient of 0.6? What number, when divided by 6, would have a quotient of 0.2?

12. Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 Sophie recorded this true number sentence. 9.3 x 8 = 74.4 What other number sentence is also true? 74.4 x 8 = 9.3 8 x 9.3 = 74.4 9.3 x 74.4 = 8 Sophie recorded this true number sentence. 4.2 x 6 = 25.2 What other number sentence is also true? 25.2 x 6 = 4.2 6 x 4.2 = 25.2 4.2 x 25.2 = 6

13. Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 A fork is 9.4 centimetres long. 4 forks are the same length as 2 chop sticks. How long is 1 chop stick? A fork is 6.8 centimetres long. 4 forks are the same length as 2 chop sticks. How long is 1 chop stick?

14. A stack of cardboard sheets is 15 centimetres thick. Each sheet of cardboard is 0.03 centimetres thick. How many sheets of cardboard are in the stack? Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 A stack of cardboard sheets is 11 centimetres thick. Each sheet of cardboard is 0.03 centimetres thick. How many sheets of cardboard are in the stack? A stack of cardboard sheets is 14 centimetres thick. Each sheet of cardboard is 0.04 centimetres thick. How many sheets of cardboard are in the stack?

15. What is the answer to 7.2 ÷ 9? Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 What is the answer to 5.6 ÷ 7? What is the answer to 9.9 ÷ 3?

16. The perimeter of an equilateral triangle is 34.14 cm. What is the length of each side? Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 The perimeter of an equilateral triangle is 27.93 cm. What is the length of each side? The perimeter of an equilateral triangle is 24.6 cm. What is the length of each side?

17. Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 Sam is building a wooden fence that is 5 metres long. He is using planks that are all 0.12 metres wide. There are no gaps between the planks. How should Sam calculate how many planks he will need altogether? 5 ÷ 0.12 0.12 ÷ 5 5 × 0.12 5 – 0.12 Sam is building a wooden fence that is 4.8 metres long. He is using planks that are all 0.12 metres wide. There are no gaps between the planks. How should Sam calculate how many planks he will need altogether? 4.8 ÷ 0.12 0.12 ÷ 4.8 4.8 × 0.12 4.8 – 0.12

18. Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 A flea can jump up to 200 times its body length. The body length of the flea is 2.5 mm. What is the furthest distance the flea can jump? 5 mm 50 mm 500 mm 5000 mm A kangaroo can jump up to 10 times its body length. The body length of the flea is kangaroo is 1.3 m. What is the furthest distance the kangaroo can jump? 0.13 m 1.3 m 13 m 130 m

19. Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 Rob is building a brick wall that is 9 metres long. The length of a row of 15 bricks is 3.6 metres as shown. 3.6 metres How many bricks will Rob need for a row 9 metres long? Rob is building a brick wall that is 9 metres long. The length of a row of 15 bricks is 2.5 metres as shown. 2.5 metres How many bricks will Rob need for a row 9 metres long?

20. Nick multiplied 3.8 by 76 on his calculator. The answer shown was 288.8. Nick then pressed four more buttons. The answer shown was now 3.8. Which four buttons could Nick have pressed to get 3.8? Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 Nick multiplied 2.4 by 32 on his calculator. The answer shown was 76.8. Nick then pressed four more buttons. The answer shown was now 2.4. Which four buttons could Nick have pressed to get 2.4?

21. 4.95 ÷ 4 = Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 3.84 ÷ 3 = 2.24 ÷ 4 =

22. The diagram shows the length and width of a table. What is the area of the table? Problem Solving Multiply and Divide Decimals Create your own problem! Now solve it! Place Value 29, Multiplication Division 26, Fractions Decimals 26 The diagram shows the length and width of a table. What is the perimeter of the table?