Scottish Survey of Literacy & Numeracy Support Material First Level – Multiply / Divide 4 and 8 Produced by Education Scotland Transforming lives through learning

divide x 4 x 8 multiply ÷ 4 multiply x 4 x 8 divide ÷ 8

more than 60% of pupils had difficulty with questions of the type From recent surveys more than 60% of pupils had difficulty with questions of the type 88p ÷ 4 36 x 8 £36 ÷ 8

milestones of progression? Reflective questions difficulties ? milestones of progression? mental strategies ? building on halves & doubles ?

Practical learning A4 paper Multiplying Practical learning A4 paper Fold Fold Fold Fold

Apply numbers 7 8 5 6 Fold 4 2 Fold Fold 3 1

Key point double double double is not 6 times bigger Reflection reinforce 1 doubles to 2 2 doubles to 4 4 doubles to 8 Key point double double double is not 6 times bigger

double, double 4 times table double, double, double 8 times table Key points double 2 times table double, double 4 times table double, double, double 8 times table 0 x 2 = 1 x 2 = 2 x 2 = 3 x 2 = 4 x 2 = 5 x 2 = 6 x 2 = 7 x 2 = 8 x 2 = 9 x 2 = 10 x 2 = 2 4 6 8 10 12 14 16 18 20 2 4 6 8 10 12 14 16 18 20 0 x 4 = 1 x 4 = 2 x 4 = 3 x 4 = 4 x 4 = 5 x 4 = 6 x 4 = 7 x 4 = 8 x 4 = 9 x 4 = 10 x 4 = 4 8 12 16 20 24 28 32 36 40 4 8 12 16 20 24 28 32 36 40 0 x 8 = 1 x 8 = 2 x 8 = 3 x 8 = 4 x 8 = 5 x 8 = 6 x 8 = 7 x 8 = 8 x 8 = 9 x 8 = 10 x 8 = 8 16 24 32 40 48 56 64 72 80 8 16 24 32 40 48 56 64 72 80

Questions to pupils go again what table ? adults and the 16 x table ? go home and ask show off your skills

1/8 1/8 1/2 1/4 1/4 1/8 1/8 1 1/8 1/8 1/4 1/2 1/4 1/8 1/8 Dividing Fold 1/8 1/8 1/4 1/2 1/4 Fold Fold 1/8 1/8

Reflective Teaching Points 1/2 ÷ 2 ÷ 4 1/4 1/8 half half half ÷ 8 2 x 1/2 =1 4 x 1/8 = 1/2 etc

Mental strategies 4 x 7 double 7 is 14 double 14 is 28 check answer with 4 times table 8 x 9 double 9 is 18 double 18 is 36 double 36 is 72 check answer with 8 times table

What is 4 x 23 double 23 46 double 46 92 23 92 46 92

What is 8 x 14 14 112 28 56 112 112 double double double

Dividing by 4 & 8 half 28 14 half 14 7 what is 28 ÷ 4 ? mental strategy half half half 28 14 half 14 7 28 ÷ 4 = 7 How can I check this?

£72 shared equally among 8 half £72 £36 half £36 £18 half £18 £9 Check that 9 x 8 = 72

Survey type questions: Jane reads a book with 180 pages. When she is 1/4 way through, how many pages has she read ? (about 30% correct) A baker makes 120 scones and sells them in bags of 8. How many bags will she need ? (about 20% correct)

1/4 of 180 180 ÷ 4 mental strategy or 90 90 90 45 number line

120 ÷ 8 mental strategy or 60 120 30 60 90 120 120 60 30 90 15 45 75 105 check answer

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