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Transforming lives through learning Scottish Survey of Literacy & Numeracy Support Material Third Level - Multiplication Produced by Education Scotland Transforming lives through learning

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Introduction Multiplication

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2000 x £15.75 This type of question caused problems for approximately 65% of S2 pupils This is the picture nationally. Does this reflect what is happening in your own classroom? Questions to consider when reflecting on your own practice: Is this performance in line with your expectations? What are the most common errors and what do these tell you about learners? What concept do learners find difficult?

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Learning & Teaching Approaches Primary / Secondary Liaison Work together to agree on common language and methodology Second Level Prior Learning Third Level More than 1 step operations Multiplication

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Reflective Questions Can you identify other curricular areas where this form of multiplication could be used? How could you ensure that a common approach is being used across all curricular areas?

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difficulties ? process ? large numbers ? primary liaison ? cohesive learning ? 2000 x £15.75 Based on the following Survey type questions x and ÷ by multiples of 100 & 1000 Areas to reflect on

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U Reminders from Second Level Progression TH x

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Reminders from Third Level Progression TU 263 th.. H 2.36 x 100

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Progression TU 263 th.. H 2.36 x 1000 TH 0 We need this zero as a place holder because without it you would get the wrong answer of 236.

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Making the connections TU 263 th.. H x 10move 1 place TU 263 th. H move 2 placesx 100. x 1000move 3 places TU 263 th.. H TH 0 zero as a place holder

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Effective questioning How do we divide by 1000?

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Progressing onto 2 step calculations TU 263 th.. H £12.36 x 2000 TH 0 x 2000 etc TTH 1 x 2 £24720 x 1000 then x 2

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2000 people each paid £15.75 to attend a sports event. What was the total taken? TU 557 th.. H 2000 x £15.75 TH 0 TTH 1 x 2 £31500 S2: 30% answered correctly SSLN Question

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Can you use mental strategies to check your answer is reasonable? 2000 x £10 ? x 2 then x 1000? Reflective questions: 2000 x £ x 1000 then x 2? or What is the best option in this case? 2000 x £15 ?

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Checking understanding TU 5 57 th.. H TH 0 TTH 1 £31500 Fill in the missing numbers x ? ?

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Checking understanding TU 352 th.. H TH 0 TTH 2 £93000 Fill in the missing numbers x ? ?

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= ÷ x x ÷ Create a calculation which will give you an answer of either or 23.25

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= xx 2 x £4000 x Check by calculating ÷ 4000 One possible mental strategy

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£93000 ÷ 4000 ? step 1 ? step 2 ?

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TU 3 52 th. H TH 0 TTH 900 ÷ 1000÷

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