Mrs Laura Love and Miss Trudy Sumner Maths Mastery an insight into maths learning at home and school Mrs Laura Love and Miss Trudy Sumner February 2017

This afternoons workshop... 1. Introduction 2. Maths you can help with at home 3. Maths Mastery in school 4. Resources 5. Questions 6. Feedback

Ideas for Patterns and Shape 2D and 3D mirror games shape pictures I spy... language Out & About mosaics directions hat game

Maths out & about!

Using and Applying Maths Ideas for Using and Applying Maths problems Why??? money puzzles WOULD YOU RATHER?

Ideas for Measuring timer photo diary cooking! clocks

Ideas for Handling Data questionnaires sorting toys

Ideas for Calculating Number Facts Number Counting Items Games Maths Karate Dominoes Cards Games Online TRUE or FALSE? Calculators

Build it Draw it Write it

Numbers to 10 Children experience, explore and ultimately learn every number bond up to 10 and then use this knowledge to calculate beyond 10.

Comparing Numbers Estimation allows children to compare small and large numbers.

Subitising ‘Children need concrete experience of physically manipulating groups of objects into sub-groups and combining small groups to make a larger group. After these essential experiences more static materials such as 'dot cards' become very useful.’ Subitising is an essential part of developing number sense in early years children by helping them to relate numbers to actual items or groups of items

Part-part whole

Numicon Numbers are abstract - Numicon is real Patterns encourage mathematical thinking Children are good at patterns so it uses this strength Children deal with whole numbers so they 'calculate' (not count) with confidence

Ten Frames

Bar Modelling

How to... the basics Recognise, read and write numbers 0 to 10 1 2 3 4 5 6 7 8 9 10 1, 2, 3, 4, 5, 6 … there are 6 teddies Count reliably up to 10 everyday objects Count in ones and tens and steps in between. Numbers in order 40 8 Partition a number and recombine it

How to... addition and makes 5 5 + 5 = 10 3 + 2 = 5 6 + 4 = 10 Begin to relate addition to combining two groups of objects and makes 5 Count along a number line to add numbers together 3 + 2 = 5 Begin to use the + and = signs to record mental calculations in a number sentence 6 + 4 = 10 Know doubles of numbers 5 + 5 = 10

Know by heart all pairs of numbers with a total of 10 and 20 How to... addition Know by heart all pairs of numbers with a total of 10 and 20 1 9 2 8 3 7 4 6 5 + 2 = 3 1 Know that addition can be done in any order 1 + 2 = 3

How to... addition 30 6 40 8 15 + 13 = 28 40 + 30 + 8 + 6 48 + 36 = 84 Adding two two-digit numbers (without bridging) Counting in tens and ones Partitioning and recombining 15 + 13 = 28 Adding two two-digit numbers (bridging through tens boundary) Using a number line OR Using place value cards and place value apparatus to partition numbers and recombine 30 6 40 8 40 + 30 + 8 + 6 40 + 30 = 70 8 + 6 = 14 70 + 14 = 84 48 + 36 = 84

How to... subtraction Ten green bottles hanging on the wall … Begin to count backwards in familiar contexts such as number rhymes or stories Five fat sausages frying in a pan … Continue the count back in ones from any given number 7 8 9 10 , ... Three teddies take away two teddies leaves one teddy Begin to relate subtraction to ‘ taking away ’

Find one less than a number How to... subtraction Find one less than a number Count back in tens

How to... subtraction 20 3 43 – 23 = 43 – 43 – 20 = 23 23 – 3 = 20 If I take away four shells there are six left Count backwards along a number line to ‘ take away Know by heart subtraction facts for numbers up to 10 and 20 43 – 43 – 20 = 23 23 – 3 = 20 20 3 Partition the number to be subtracted (no exchanging) 43 – 23 =

How to... subtraction Begin to find the difference by counting up from the smallest number 45 - 10 Subtract 10 from a two-digit number Decide whether to count on or count back 74 - 27 = 47

Know doubles and corresponding halves How to... multiplication Count in tens from zero 20 30 40 50 10 Count in twos from zero 8 6 4 2 10 Know doubles and corresponding halves

How to... multiplication 2 2 2 2 + 2 4 x 4 2 x 2 + 2 + 2 + 2 = 8 Understand multiplication as repeated addition 2 2 2 2 + 2 + 2 + 2 + 2 = 8 4 x 2 = 8 2 multiplied by 4 4 lots of 2 2 4 x x 4 2 Understand multiplication as an array

How to... division If 2 x 10 = 20 then 20  10 = 2 20  2 = 10 Count back in twos, fives and tens 30 20 10 If 2 x 10 = 20 then 20  10 = 2 20  2 = 10 Know halves Half of 6 is 3 ½ of 6 = 3 Use known multiplication facts to work out corresponding division facts Understand division as sharing

Understand division as grouping How to... division Understand division as grouping 18 divided into groups of 3 18  3 = 6 Represent ‘groups’ for division on a number line using apparatus alongside the line 3 6 9 12 15 18