Maths at Wentworth – deepening thinking.
We believe at Wentworth that there is more to maths than just getting the right answer. We want our children to be mathematical thinkers and make connections in maths.
From EYFS to Year 6 we use CPA – concrete – pictorial - abstract. Even before children get to the abstract part of learning a process we want our children to be secure with number and develop strong connections in maths.
BASE 10 and place value counters for the concrete.
How would you solve it?
Have a look at these questions and how would you solve it?
71 x 8 | I would partition number into 70 and 8 and I know 7 x 8 is 56 so 70 x 8 is 560 an add on one group of 8. |
435 - 30 | I know that I only need to think about the 10s column in this example so I can take away 3 tens which leaves me with 0 tens so the answer is 405. If I had to subtract 40 then I would have affected the hundreds column too. |
96 ÷ 4 | I used my tables as I know that 12 x 8 make 96 so double one factor and half the other fact is the same product so 24 x 4= 96 |
50 x 70 | I know 5 x 7 is 35 so if I make the factor 10 times bigger the product is 10 times bigger. Both factors are 10 times bigger so the product will be 100 times bigger. 50 x 70 = 3500 |
3798 ÷ 18 | If I partition the number into 3600 + 180 + 18 I can use knowledge of tables and division. 3600 ÷ 18 = 200 180 ÷ 18 = 10 18 ÷ 18 = 1 |
864 ÷ 24 | I can use knowledge of factors. Factors for 24 are 1 and 24 2 and 12 3 and 8 and 6 and 4 I think I would divide the number by 8 first as I can see its 800 and 64 so 108 and then divide 108 by 3 |
Did you use any of these ways? If you did, then you are thinking mathematically.