Post Graduate Induction Day May 2019 Subject Knowledge Workshop

Post Graduate Induction Day May 2019Subject Knowledge Workshop Number

Today’s workshop Today’s workshop • Based on the subject audits • Confidence-building • Teachers’ Standard 3: Demonstrate good subject (and curriculum) knowledge

Quick check 1 Are you sure about these symbols? > < = -10 -3

Quick check 2 Multiplying positive and negative numbers • If the signs arethe same the answer is positive • If the signs are different the answer is negative I’m sure I once learned something about that!

Negative numbers x and /

Negative numbers Addition e.g. Calculate; - 12 + 4 • Which number is greater? • Will it be a positive difference or negative difference?

Negative numbers ‘Take away’ or ‘find the difference between’ e.g. Calculate; 3 – (– 5) = • Which number is greater? • Will it be a positive difference or negative difference?

Negative numbers a) The minimum temperature recorded over night was minus 6 degrees Celsius, if the temperature rises by 10 degrees what temperature will it read? b) 7 – (–3) • – 4 – (–8)

Quick check 3 How’s your understanding ofplace value? 386.712

Place Value chart etc

Quick check How many times larger is the red digit than the blue digit? 386.782

Quick check 386.782 0.8 (10x larger) 8.0 (100 times larger) 80.0 (1000 times larger)

Section of the Multiplication and Division progression map from: https://www.ncetm.org.uk/resources/42990

Indices and powers An index, or a power, is the small floating number that goes next to a number or letter. (The plural of index is indices.) Indices show how many times a number or letter has been multiplied by itself. 24 = 2 x 2 x 2 x 2

Indices and powers 43 x 32 4 x 4 x 4 = 3 x 3 =

Indices and powers 53 x 23 35 + 42

BODMAS Order of operations BODMAS stands for: 'brackets', ‘of’, 'division', 'multiplication', 'addition' and 'subtraction'. The order in which a calculation is carried out is important. ‘Of’ = ‘orders‘ (or powers)

Here’s why BODMAS matters What is 2 + 3 x 4? (2 + 3) x 4 = 5 x 4 = 20 or 2 + (3 x 4) = 2 + 12 = 14 Two different answers! Which one is correct?

What is 2 + 3 x 4? (2 + 3) x 4 = 5 x 4 = 20 2 + (3 x 4) = 2 + 12 = 14 Why? Because in the absence of brackets, multiplication comes first.

Here’s why BODMAS matters BODMAS stands for 'brackets', 'of', 'division', 'multiplication', 'addition' and 'subtraction'. The order in which a calculation is carried out is important. 3 x (7 – 3) = 2 x 3 – 2 x 5 = 50 2 – 5 x 4 =

Don’t forget to check: Prime numbers can only be divided by themselves and 1 What are the first ten prime numbers? Factors of a number are the numbers that divide into it exactly What are the factors of 12? The multiples of a number are the numbers that belong to the number’s times table. What are the first five multiples of 3? A square number is the product of the number multiplied by itself. For example?

Check also….. 20% = 1/5 = 0.2 25% = ¼ = 0.25 50% = ½ = 0.5 75% = ¾ = 0.75 1% = 1/100 = 0.01 5% = 1/20 = 0.05 10% = 1/10 = 0.1 12.5% = 1/8 = 0.125

What next? You will be able to repeat your maths audit, but do prepare. Remember this is to give you confidence in the classroom. Teachers’ Standard 3: Demonstrate good subject (and curriculum) knowledge

Key Stage 2 SATs https://www.gov.uk/government/publications/key-stage-2-tests-2018-mathematics-test-materials – all papers https://assets.publishing.service.gov.uk/government/uploads/system/uploads/attachment_data/file/614656/STA177736e_2017_key_stage_2_mathematics_paper_1_arithmetic.pdf https://assets.publishing.service.gov.uk/government/uploads/system/uploads/attachment_data/file/614658/STA177737e_2017_key_stage_2_mathematics_paper_2_reasoning.pdf https://assets.publishing.service.gov.uk/government/uploads/system/uploads/attachment_data/file/614660/STA177738e_2017_key_stage_2_mathematics_paper_3_reasoning.pdf

Post Graduate Induction Day May 2019 Subject Knowledge Workshop