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. The problems directly linked to Explicit Teaching can also be found: as part of the investigation on the Investigation sheet, on the Teaching Plan, and on the Teaching Plan PowerPoint All problems can also be found: as stand alone problems on the Problem Solving sheet.

2. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Video 1 Hint: Change the missing number 10, and allow children to solve again! What number is missing from this place value chart? What number is missing from this place value chart? What number is missing from this place value chart? Place Value 20 Fractions and Decimals 11

3. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Video 2 Hint: Change the dot to time, duration etc, and allow children to solve again! Place Value 20 Fractions and Decimals 11 Is this dot a decimal point? $5.25 Why? Is this dot a decimal point? 3.62 seconds Why? Is this dot a decimal point? 7.20 pm Why?

4. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Video 3 Hint: Change the number, and allow children to solve again! Place Value 20 Fractions and Decimals 11 Jill recorded a number as 0·7 and Jerry recorded a number as ·7 Do both numbers have the same value? What is the value? Jill recorded a number as 0·47 and Jerry recorded a number as ·4 Do both numbers have the same value? What is the value? Jill recorded a number as 0·8 and Jerry recorded a number as ·8 Do both numbers have the same value? What is the value?

5. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Video 4 Hint: Change the number, and allow children to solve again! Place Value 20 Fractions and Decimals 11 Alex recorded a number as 5 tens. Mike recorded a number as 500 tenths. Did they both record the same number? Alex recorded a number as 7 tens. Mike recorded a number as 700 tenths. Did they both record the same number? Alex recorded a number as 4 tens. Mike recorded a number as 400 tenths. Did they both record the same number?

6. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Video 5 Hint: Change the number, and allow children to solve again! Place Value 20 Fractions and Decimals 11 7.3 is equal to: (a) 7 tenths and 3 ones (b) 7 ones and 3 tenths (c) 73 ones 6.4 is equal to: (a) 6 ones and 4 tenths (b) 6 tenths and 4 ones (c) 64 ones 2.9 is equal to: (a) 92 ones (b) 9 ones and 2 tenths (c) 2 tenths and 9 ones

7. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Video 5 Hint: Change the number, and allow children to solve again! Place Value 20 Fractions and Decimals 11

8. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Video 5 Hint: Change the number, and allow children to solve again! Place Value 20 Fractions and Decimals 11 6.8 is equal to: (a) 68 tens (b) 68 ones (c) 68 tenths 4.9 is equal to: (a) 49 tens (b) 49 ones (c) 49 tenths 3.6 is equal to: (a) 36 tens (b) 36 ones (c) 36 tenths

9. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Video 6 Hint: Change the number, and allow children to solve again! Place Value 20 Fractions and Decimals 11 47.3 is equal to: (a) 4 tens and 7 tenths and 3 ones (b) 4 tens and 7 ones and 3 tenths (c) 473 ones 29.6 is equal to: (a) 2 tens and 9 ones and 6 tenths (b) 6 tens and 9 tenths and 2 ones (c) 296 ones 35.7 is equal to: (a) 5 tens and 7 tenths and 3 ones (b) 3 tens and 5 ones and 7 tenths (c) 357 ones

10. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Video 6 Hint: Change the number, and allow children to solve again! Place Value 20 Fractions and Decimals 11

11. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Video 6 Hint: Change the number, and allow children to solve again! Place Value 20 Fractions and Decimals 11 46.8 is equal to: (a) 468 tens (b) 468 ones (c) 468 tenths 86.7 is equal to: (a) 867 ones (b) 867 tens (c) 867 tenths 29.4 is equal to: (a) 394 tenths (b) 294 ones (c) 294 tens

12. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Video 7 Hint: Change the number, and allow children to solve again! Place Value 20 Fractions and Decimals 11 Alex placed a digit in the ones column. He divided it by 10. Which column is the digit in now? What is the value of the digit now? Alex placed a digit in the ones column. He divided it by 10. Which column is the digit in now? What is the value of the digit now? Alex placed a digit in the ones column. He divided it by 10. Which column is the digit in now? What is the value of the digit now?

13. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Video 7 Hint: Change the number, and allow children to solve again! Place Value 20 Fractions and Decimals 11 Alex placed a digit in the ones column. He divided it by 10. Which column is the digit in now? What is the value of the digit now? Alex placed a digit in the ones column. He divided it by 10. Which column is the digit in now? What is the value of the digit now? Alex placed a digit in the ones column. He divided it by 10. Which column is the digit in now? What is the value of the digit now?

14. Problem Solving Multiplicative Place Value to Tenths Place Value 20 Fractions and Decimals 11

15. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Hint: Change the number, and allow children to solve again! Place Value 20 Fractions and Decimals 11 Marcus made this place value strip. He recorded 3 tenths. He slid the strip one column to the left. What is the value of the 3 now? What did he multiply the 3 by when he slid it one column to the left? Marcus made this place value strip. He recorded 3 tenths. He slid the strip one column to the left. What is the value of the 8 now? What did he multiply the 8 by when he slid it one column to the left?

16. Create your own problem! Now solve it! Problem Solving Multiplicative Place Value to Tenths Which measurement is equal to 35 millimetres? 350 cm 35 cm 3.5 cm Which measurement is equal to 15 millimetres? 1.5 cm 15 cm 150 cm Which measurement is equal to 8 millimetres? 0.8 cm 8 cm 80 cm Hint: Change the number of millimetres, and allow children to solve again! Place Value 20 Fractions and Decimals 11