Ministry of Education Secondary Numeracy Project Algebra in Multiplication Kevin Hannah Central Auckland Airport Hotel 23-24 February 2005.

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Presentation transcript:

Ministry of Education Secondary Numeracy Project Algebra in Multiplication Kevin Hannah Central Auckland Airport Hotel February 2005

Algebra in Multiplication Computing using the distributive law Recognising structure in numbers Exploring algebraic expressions

7 x 98 What’s the answer? How did you do it? 7 x 98 = 7 x x 2

597 x 5 What’s the answer? How did you do it? 597 x 5 = 600 x x 5

407 x 8 What’s the answer? How did you do it? 407 x 8 = 400 x x 8

Are these correct? 3x(400-8) = 3x x8 597 x 11 = 600 x x x 8 = 900 x x 8 7 x 98 = 7 x x 2

Are these correct? 12x40 - 8x12= 8x(40-12) 79 x 11 = 70 x 11 +9x9 80 x x 7 = 85 x 7 8 x x 8 = 8 x 293

What’s missing? 5x(70-2) =5x70 - 5x 12 6 x x 6 = 6 x x 13 = 50 x x x x 6 = 74 x 6

Fill in the gaps 5(y-2) =5y ( m + 7) = 6m ( m + 9 ) = 7m c - 48 = 8(c - 6)

Expand 5 ( y + 6) = 5y (x - 10) = 7x ( 2m + 3 ) = 8m (3r-9) = 18r - 54

Factorise 3 ( n + 2) = 3n + 6 8(x - 4) = 8x ( 4p + 3 ) = 12p (6 - 5y) = y

a(b ± c) = ab ± ac Recognising Structure