Welcome to our year 3 and 4 maths session • The aims of this session are to share with you; • how maths calculations develop in year 3 and 4 • times tables they should know • how you can support your child at home • making maths fun!
St John’s website • Our school’s ‘help guide’ and today’s presentation can be found at…http://www.st-john.leicester.sch.uk/
Why year 3 and 4? Years 3 and 4 are crucial years because… • Year 3 children are making the transition from the infants • Year 4 children are building upon their maths knowledge and their results are a good indication of what they may achieve at the end of their time in the juniors
Mental maths • The aim of mental maths should be for children wherever possible to do the calculation in their head. • To do these children need to be given help ‘making pictures’ in their minds. Mental maths is not just about numbers but also about seeing shapes and being able to hold on to these and manipulate them in their head. • Playing games is fun and collaborative, it will enable you as parents to understand more about your child’s mathematical learning and give your child practice in a relaxed, meaningful way.
Tables in a row Great for using your times table knowledge to beat mum or dad! Big deal! Using all operations (+,-,x and ÷)
Addition in year 4 leading to year 5 (The expanded method)
Subtraction in Year 3 • Subtract mentally combinations of one-digit and two-digit numbers • Find a small difference by counting up • Continue but with appropriate numbers e.g. 102 – 97 = 5 Year 3 children should be able to recall all addition and subtraction facts for each number to 20 (number bonds) and number pairs that total 100. (e.g. 2+18 = 20, 15+85=100)
Subtraction in Year 4 • Subtract two-digit and three-digit whole numbers and £.p • Find a difference by counting up • Reduce the number of steps to make the calculation more efficient. 326 – 178 = 148 rather than lots of steps …
Multiplication in year 3 35 x 2 = • Grid method using partitioning x 30 5 2 60 10 60 + 10 = 70 35 x 2 = 70
Multiplication in year 4 38 x 7 = • Grid method and approximating first x 30 8 210 56 7 38 is close to 40. 40 x 7 = 280 210 + 56 = 266 38 x 7 = 266
Division in year 3 • Understand division as sharing and grouping and know what to do with remainders 16 ÷ 3 = 5 r1 Sharing - 16 sweets shared between 3 people, how many left over?
Division in year 3 • Understand division as sharing and grouping and know what to do with remainders 16 ÷ 3 = 5 r1 Grouping - Starting with 16 objects consider how many groups of 3 you can make (demonstrate using biscuits, cakes, vegetables, fruit etc and put them into packets of three). How many complete packets? How many packets of biscuits will I need to buy for 16 people? Five won’t be enough!
98 ÷ 6 6 x 1 = 6 6 x 2 = 12 6 x 5 = 30 6 x 10 = 60 Division in year 4 • Repeated subtraction (Known as ‘chunking’, as you are taking away chunks of 6) 98 98 60 (10 groups) 38 36 (6 groups) 2 Answer : 16 remainder 2 Take away 60 10 x 6 38 Take away 36 6x6 2
How you can support at home • Board games e.g. Monopoly • Darts • Card games • DS brain training • Cooking (weighing amounts) • Games on the way to school or in the car-adding up car number plates. “What is the biggest number you can make?” “ Multiply the numbers!”
Learning to tell the time Year 3 • Read the time on a 12–hour digital clock and to the nearest 5 minutes • Read an analogue clock • Calculate time intervals and find start or end times for a given time interval Year 4 • Read time to the nearest minute • Use am, pm and 12-hour clock notation • Choose units of time to measure time intervals, e.g. seconds, minutes or hours • Calculate time intervals from clocks and timetables
Learning about money Talk about pocket money with your child. Help him/her to add it up week by week to workout whether they can afford a particular toy or treat. Shop using money and calculate change. Talk about savings account and interest, credit and debt.
Learning about money Year 3 • Know that there are 100 pennies in a pound. • Solve one–step and two–step problems involving money. • Develop and use written methods to record and explain addition and subtraction of two–digit numbers. Find total amounts, give change and work out with which coins to pay with. Explain how the problem was solved. Year 4 • Solve one-step and two-step problems involving money including converting pounds to pence. • Understand the value of each number, e.g. tenths and hundredths. • Partition decimals and relate this to money. • Begin to use all four operations to solve word problems
Learning times tables www.teachingtables.co.uk Learning multiplication facts is a vital part of any child’s mathematical development. Once rapid recall of multiplication facts becomes possible, a whole host of mathematical activities will seem easier. Children need to be able to recall multiplication facts in any order and also to derive associated division facts. Year 3 • Derive and recall multiplication facts for the 2, 3, 4, 5, 6 and 10 times-tables and the corresponding division facts. Year 4 • Derive and recall multiplication facts up to 10 × 10, the corresponding division facts.
What should they be able to do? • The aim is that for each times table: • Bronze award • The children should be able to say the table in order. • E.g. 1 times 3 is 3, 2 times 3 is 6. • Silver award • They should be able to answer questions in any order. • E.g. “What is 4 x 5?” “What is 8 x 5?” • Gold award • The children are given the answer e.g. 21 and they have to know • the calculation, 7 x 3.
Parents evening ‘Maths targets. A booklet for parents’ publication from the Numeracy strategy Ideas for games, key learning skills for that year group.
Parents evening You will have received a copy of this booklet when your child was in year 1. (If you’ve misplaced yours, there are some copies on your table for you to take away with you and it is also available for you to download from our school’s website)
Useful websites www.topmarks.co.uk www.educationcity.com http://www.ictgames.com/ http://www.woodlands-junior.kent.sch.uk/maths/ http://manicmathmadness.blogspot.com/ A directory of different maths websites
http://www.gridclub.com/ Free trial