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Multiplication and Division Strategies
Focus for Staff Meeting ,[object Object],[object Object],[object Object]
Big Ideas Multiplication Division Symbols Language Special features Definitions
Initial strategy understanding ,[object Object],[object Object],[object Object],[object Object]
Time  to Think!!! How might your students work these out?
Multiplication and Division Strategies for CA - EA Problem: A class of 28 students are going on a school trip. They are travelling by car. Each car can take 4 passengers. How many cars will be needed for the trip?  How would you solve it if you were Counting All? What if you were an Advanced Counter? What about if you were Early Additive?
Where are these strategies on the Number Framework? 4 x   = 28 I got 28 counters and put them into groups of four. I found that we needed 7 cars. I counted using my fingers in groups of 4 and got to 7 fingers for 7 cars. I know 4 +4+4+4+4+4+4=28. 4 + 4 = 8 and 8 + 8 + 8 is 24  and + 4 is 28. So that’s 7 groups. I know that  4 x 10 = 40 so  4 x 9 = 36 and  4 x 8 = 32 and  4 x 7 =  28. I can skip count in 4’s so I went 4, 8, 12, 16, 20, 24, 28
Multiplication and Division Strategies for AA-AM ,[object Object],How would you solve it using doubling and halving? What about thirding and trebling?  Could you solve it using Rounding and Compensating? If you used Place value partitioning what would it look like?
Where are these strategies on the Number Framework? 18 x 4 =   18 x 4 is the same as 10 x 4 = 40 and 8 x 4 = 32 so 40 + 32 = 72. Triple 4 is 12 and a third of 18 is 6 so 12 x 6 = 72 Can you name each strategy? Double 4 is 8 and half of 18 is 9, So 8 x 9 = 72. 20 x 4 = 80. But that’s two plants too many in each row so takeaway 4 x 2 which is 8,  so 80 – 8 = 72.
Multiplication and Division Strategies for AA-AM ,[object Object],How would you solve it using reversibility?  What about proportional adjustment?  (Make the same change to both numbers.) Could you use Divisibility?  (Multiples, factors)
Where are these strategies on the Number Framework? 72  ÷ 6 =   Half of 72 is 36 and half of 6 is 3 so 36 ÷ 3 is 12. Can you name each strategy? 12 x 6 is 72 therefore 72 ÷ 6 = 12  Well 60 + 12 = 72. I know 60 is a multiple of 6 and so is 12 so  10 + 2 = 12 A third of 72 is 24 and  a third of 6 is 2. 24 ÷ 2 = 12.
Multiplication and Division Strategies for AM-AP ,[object Object],Can you use Conversion? (Change the order and decimals to fractions) How could you use Doubling and Halving using place value?
Where are these strategies on the Number Framework? What visual supports could you use to support these strategies? 24 ÷  ¾ =  so I know that ¾ x   = 24? If 24 is ¾ then  ¼ is 8. So 8 x 4 = 32 pieces. 24  ÷ 0.75 =   24 ÷ 0.75 is the same as  48 ÷ 1.5  which is the  same as 96 ÷ 3 =32. I know that 0.75m is the same as ¾m so now I can use this to… 0.75 is 1 piece 1.5 is 2 pieces 3 is 4 pieces So 3 x 8 = 24, then  8 x 4 = 32 pieces. +20
Multiplication and Division Strategies ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Counting Part-whole Early Additive Advanced Additive Advanced Multiplicative
Activity Sharing
[object Object],[object Object],[object Object],[object Object],Key Knowledge and Ideas about Multiplication and Division
Making connections ,[object Object],[object Object],[object Object]
Multiplication/Division Strategy Understanding ,[object Object],[object Object],[object Object],[object Object]
Supporting Readings ,[object Object],[object Object],[object Object]

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Mult Div Strategy Meeting[1]

  • 2.
  • 3. Big Ideas Multiplication Division Symbols Language Special features Definitions
  • 4.
  • 5. Time to Think!!! How might your students work these out?
  • 6. Multiplication and Division Strategies for CA - EA Problem: A class of 28 students are going on a school trip. They are travelling by car. Each car can take 4 passengers. How many cars will be needed for the trip? How would you solve it if you were Counting All? What if you were an Advanced Counter? What about if you were Early Additive?
  • 7. Where are these strategies on the Number Framework? 4 x  = 28 I got 28 counters and put them into groups of four. I found that we needed 7 cars. I counted using my fingers in groups of 4 and got to 7 fingers for 7 cars. I know 4 +4+4+4+4+4+4=28. 4 + 4 = 8 and 8 + 8 + 8 is 24 and + 4 is 28. So that’s 7 groups. I know that 4 x 10 = 40 so 4 x 9 = 36 and 4 x 8 = 32 and 4 x 7 = 28. I can skip count in 4’s so I went 4, 8, 12, 16, 20, 24, 28
  • 8.
  • 9. Where are these strategies on the Number Framework? 18 x 4 =  18 x 4 is the same as 10 x 4 = 40 and 8 x 4 = 32 so 40 + 32 = 72. Triple 4 is 12 and a third of 18 is 6 so 12 x 6 = 72 Can you name each strategy? Double 4 is 8 and half of 18 is 9, So 8 x 9 = 72. 20 x 4 = 80. But that’s two plants too many in each row so takeaway 4 x 2 which is 8, so 80 – 8 = 72.
  • 10.
  • 11. Where are these strategies on the Number Framework? 72 ÷ 6 =  Half of 72 is 36 and half of 6 is 3 so 36 ÷ 3 is 12. Can you name each strategy? 12 x 6 is 72 therefore 72 ÷ 6 = 12 Well 60 + 12 = 72. I know 60 is a multiple of 6 and so is 12 so 10 + 2 = 12 A third of 72 is 24 and a third of 6 is 2. 24 ÷ 2 = 12.
  • 12.
  • 13. Where are these strategies on the Number Framework? What visual supports could you use to support these strategies? 24 ÷ ¾ =  so I know that ¾ x  = 24? If 24 is ¾ then ¼ is 8. So 8 x 4 = 32 pieces. 24 ÷ 0.75 =  24 ÷ 0.75 is the same as 48 ÷ 1.5 which is the same as 96 ÷ 3 =32. I know that 0.75m is the same as ¾m so now I can use this to… 0.75 is 1 piece 1.5 is 2 pieces 3 is 4 pieces So 3 x 8 = 24, then 8 x 4 = 32 pieces. +20
  • 14.
  • 16.
  • 17.
  • 18.
  • 19.