2. Multiplication and Division 9

3. 5 x 10 = 50

4. Multiplication and Division 9 50 x 10 = 500 500 x 10 = 5000

5. Multiplication and Division 9 205 x 10 = 2050 250 x 10 = 250025 x 10 = 250

6. Multiplication and Division 9

7. 50 ÷ 10 = 5

8. Multiplication and Division 9 500 ÷ 10 = 50 5000 ÷ 10 = 50

9. Multiplication and Division 9 250 ÷ 10 = 252500 ÷ 10 = 250 2050 ÷ 10 = 205

10. Multiplication and Division 9 1.Record a multiplicative place value chart. 2.Explain the multiplicative place value chart to a friend. 3.Select cards to make a number to multiply by 10. 4.Place the card/s in your multiplicative place value chart, for example, Investigation: 5.Record the value of the number. 6.Multiply the number by 10 by moving the digits into the column to the left. 7.Record the multiplication number sentence, for example, 2 x 10 = 20 72 x 10 = 720 752 x 10 = 7520 702 x 10 = 7020 Reflection: How can we use multiplicative place value to multiply by 10? Problem Solving The teacher made 8 teams of 10 children. How many children altogether? Problem Solving The school had 10 classes of 28 children. How many children altogether?

11. Multiplication and Division 9 1.Record a multiplicative place value chart. 2.Explain the multiplicative place value chart to a friend. 3.Select cards to make a number to divide by 10. 4.Place the cards in tens, hundreds or thousands columns your multiplicative place value chart, for example, Investigation: 5.Record the value of the number. 6.Divide the number by 10 by moving the digits into the column to the right. 7.Record the division number sentence. 20 ÷ 10 = 2 720 ÷ 10 = 72 7520 ÷ 10 = 752 7020 ÷ 10 = 702 Reflection: How can we use multiplicative place value to divide by 10? Problem Solving 60 children are divided into 10 teams. How many in each team? Problem Solving The school divided 280 children into 10 classes. How many children in each class?

12. Multiplication and Division 9

13. 1.Use a calculator to multiply numbers by 10. 2.Check using multiplicative place value. 3.Explain your strategy to a friend. Reflection: How can we use multiplicative place value to multiply by 10? Multiplication and Division 9 Investigation:

14. Multiplication and Division 9 1.Use a calculator to divide numbers by 10. 2.Check using multiplicative place value. 3.Explain your strategy to a friend. Reflection: How can we use multiplicative place value to divide by 10? Investigation:

15. Multiplication and Division 9 Investigation: 1.Sit with a friend. 2.Each of you has 2 cards. 3.Places your cards face down and record each number’s product when 30 multiplied by 10, on paper next to the card, for example, 70 4.Take turns to tell your friend what number you think is on each card, explaining using multiplication, by saying ‘I think the number on the card is 3 because 3 times 10 equals 30’. 5.If correct, you take the card. Reflection: How can we use multiplicative place value to multiply and divide by 10?

16. Multiplication and Division 9 Investigation: 1.Sit with a friend. 2.Each of you has 2 cards. 3.Places your cards face down and record each number’s product when 30 multiplied by 10 on paper next to the card, for example, 70 4.Take turns to tell your friend what number you think is on each card, explaining using division, by saying ‘I think the number on the card is 3 because 30 divided by 10 equals 3’. 5.If correct, you take the card. Reflection: How can we use multiplicative place value to multiply and divide by 10?

17. Multiplication and Division 9 Investigation: 1.Sit with a friend. 2.Lay out 5 cards in a row. 3.Take turns to secretly select cards. 4.Describe the number after it has been multiplied by 10. 5.For example, you may secretly select 4 and say, ‘When my number is multiplied by 10, the product is 40’ 6.For example, you may secretly select 4 and 7 to make 47 and say, ‘When my number is multiplied by 10, the product is 470’. Reflection: How can we use multiplicative place value to multiply and divide by 10?

18. Multiplication and Division 9 Investigation: 1.Sit with a friend. 2.Lay out 5 cards in a row. 3.Take turns to secretly select cards and to name a number that, when divided by 10, gives that number as the quotient. 4.If you friend works out the quotient, they keep the card. 5.For example, you may secretly select 6 and say, ‘When I divide 60 by 10, the quotient is this number’. 6.For example, you may secretly select 4 and 7 to make 47, and say, ‘When I divide 470 by 10, the quotient is this number’. Reflection: How can we use multiplicative place value to multiply and divide by 10?

19. Multiplication and Division 9 Investigation: To focus on learning multiples of 10 (tables): 1.Flip cards one at a time and name the product when the number is multiplied by 10. 2.If you know the product when multiplied by 10 efficiently (quite quickly, without skip count), place the card in the ‘know’ pile. 3.If you do not know the product when multiplied by 10 efficiently, place the card in the ‘learn’ pile. 4.Once you have 2 cards with different numbers in the ‘learn’ pile, stop flipping cards. 5.Look at the numbers that you cannot yet multiply by 10, and use multiplicative place value to assist you to efficiently multiply the number by 10. 6.If you cannot think of any strategies yourself, ask your classmates in either a structured sharing session, or while investigating multiplying and dividing by 10. 7.Record the multiplication facts, and related division facts, for example, 3 x 10 = 30 10 x 3 = 30 30 ÷ 10 = 3 30 ÷ 3 = 10