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Routes through Calculation

Routes through Calculation. Friday, 21 March 2014. What you say counts. Addition:. Number lines: Addition can be done in any order, but encourage pupils to begin with the largest number. e.g. 5+8 is the same as 8+5.

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Routes through Calculation

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  1. Routes through Calculation Friday, 21 March 2014

  2. What you say counts.

  3. Addition: Number lines: Addition can be done in any order, but encourage pupils to begin with the largest number e.g. 5+8 is the same as 8+5 +1 +1 +1 +1 +1 8 9 10 11 12 13

  4. Addition: The number line can be extended to larger numbers, and used For counting on in GROUPS of tens and ones/units. PARTITIONING can now be into larger groups. e.g. 86+57 +50 +4 +3 86 136 140 143

  5. Addition: Partitioning can be used to build on the knowledge used from number lines 35+26 30+20=50 5+6=11 50+11=61

  6. Addition: This leads on to the informal and formal written method!

  7. Subtraction: The number line can be used for subtraction, but going the other way. e.g. 19-5 -1 -1 -1 -1 -1 14 15 16 17 18 19

  8. Subtraction: And with larger numbers too! e.g. 219-37 -7 -30 182 189 219

  9. Subtraction: By partitioning.

  10. Subtraction: This leads to a better understanding of the formal method! • 1 • 7 4 – • 7 • --------- • 4 7

  11. Multiplication Begins with simple dot arrays and groupings O O O O O O ooo Is either 3 lots of 2, or 2 lots of 3 ooo OOO OOO * * * * * * * * * * * * * * * 4 lots of 3 4 X 3 3+3+3+3 (Solve with a number line beginning at 0) Multiplication is simply repeated ADDITION!

  12. Multiplication: • Partitioning again. • 12 X 6 • (10+2) X 6 • 10 X 6 = 60 • X 6 = 12 • 60 +12 = 72

  13. Multiplication: The GRID method, using partitioning. E.g.9 X 46 40 6 9 360 54 360 + 54 = 414

  14. Multiplication: And larger numbers… 72 X38 70 2 30 2100 60 =2160 8 560 16 = 576 2160 + 576 = 2736

  15. Multiplication Leading to the expanded methods:

  16. Multiplication And finally the formal written methods:

  17. Division: Like multiplication, begins with dot arrays and groupings. O O O O O O ooo Is either 6 shared between 2, or 6 shared between 3 ooo OOO OOO * * * * * * * * * * * * * * * 12 ÷ 4 = 3

  18. Division: Division is simply repeated SUBTRACTION! Using a number line. E.g. 35 ÷ 7 -7 -7 -7 -7 -7 0 7 14 21 28 35 35 ÷ 7 = 5 There are 5 “jumps”

  19. Division: With remainders. E.g. 38 ÷ 7 -7 -7 -7 -7 -7 -1 -1 -1 3 10 17 24 31 38 38 ÷ 7 = 5 “jumps” – 3 38 ÷ 7 = 5 r 3

  20. Division: Chunking! Simple With remainders

  21. What have you got to help you and your child with maths? Conker Maths/ KIRFS http://www.conkermaths.org/cmweb.nsf/pages/kirfs.html RMEasimaths http://www.rmeasimaths.com/ Mathletics http://www.mathletics.co.uk/

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