Presentation on theme: "Welcome to the Year 6 Numeracy Workshop"— Presentation transcript:
1Welcome to the Year 6 Numeracy Workshop Friday 18th February
2Aims for today. To show you what is expected of children in numeracy in Year 6 To show you how we teach your children a variety of strategies to solve mathematical problems. To provide you with the chance to ask questions and chat with other parents and the teachers. To give you ideas and ways to help your children at home.
3Multiplication and division use mental calculation strategies for multiplication and division.use mental methods for calculations including decimals.Know when to use mental methods, when to use a written methodUse an efficient written method for multiplication and divisionTU x U TU x TU TU ÷ U TU ÷ TUSolve real life problems
4Mental test questions5 secondsMultiply 60 by 1010 secondsDivide 350 by 100How would you work these out?
5How would calculate these mentally? 12 x 1012 ÷ 1012 x10012 ÷10012 x 100012 ÷1000Must understand place value and the value of each digit in a number and a decimal
6ThHTU.1/101/1001/1000121.2 divided by 10?1.2 divided by 100?
7Children manipulate numbers Multiply move digits to the leftDivide move digits to the rightDecimal point stays constant
9How would you work this out in 3 – 5 minutes? Calculate 17 × 5 × 41 markHow would you work this out in 3 – 5 minutes?
10Children must know the value of each digit Children must know the value of each digit. Partitioning helps them to learn the value of the digits. . Will lead to methods of long multiplication.
11Higher order mathematicians 17 x (4x 5) =17 x 20 =
12To calculate this children must know their tables Must have an efficient method Must be able to check their answers Use partitioning to gain understanding of values17 x 510 x 5 = 507 x 5 = 35= 85 must also be able to add
1385 x 480 x 4 = (8 x 4 x 10 )5 x 4 = 20= 34017 x 5 x 4 = 340
2727 ÷ 8 =1 x 82 x 8What do we get with this problem?How is that dealt with?
28Subtraction and addition Develop and refine written methods for addition and subtraction building on mental methodsAdd by partitioningAdd using the column methodFind the difference by counting on on a number lineSubtract using exchanging and decomposition (column method)Solve real life problems
29A shop sells three types of sunglasses. How would I work this out?What maths is required?What calculations need to be used?What do the words mean?A shop sells three types of sunglasses.What is the difference in price betweenthe most expensive and least expensivesunglasses?1 mark
30Column Subtraction £5.85 - £2.99 £5. 85 £2. 99 £ £2.99£5. 85£2. 99Children need to understand place value and exchanging.
31Use of a number line to find the difference Giving change in the shopCount on in amounts£2.99 on £0.01 to £3.00£3.00 on £2.00 to £5.00£5.00 on £0.85 to £5.85£ £ £0.85 = £2.86
32High order mathematicians would use their mental skills Round £2.99 to £3.00Subtract £3.00 from £5.85Add back a penny
33I spend £4.32 on food and £3.62 on drinks How much change to I get from £20.00?Pineapples £1.40 eachGrapes are £2.25 for 1KGI buy one pineapple and half a kilogram of grapes.How much change will I get from £5.
34Ryan buys the £4.69 sunglasses and a sun hat. Add money amountsSubtract answer from £10Ryan buys the £4.69 sunglasses and a sun hat.How much change does he get from £10?
35Fractions, Percentages, Decimals Doubling and Halving ¼ of 600? ¼ of 800Half and half againDivide by 4Half of 27? Half of any odd number?Dealing with an odd number and a decimal27 = 20 and = 13.5
361/4 of 24 Divide by 4 1/8 of 24 Divide by 8 1/6 of 18 Divide by 6 Applying multiplication and division knowledge and skills - Fractions of quantities1/4 of 24Divide by 41/8 of 24Divide by 81/6 of 18Divide by 6
37and multiply by numerator 2 6x2 = 12 3/8 of 24 = 9 24÷8 = 3 3 x 3 = 9 Applying multiplication and division knowledge and skills - Fractions of quantities2/4 of 24 =12divide by denominator 424÷4 = 6and multiply by numerator 26x2 = 123/8 of 24 = 924÷8 = 33 x 3 = 9
38Percentages 1 % divide by 100 10% divide by 10 5 % find 10% and half (divide by 2)20% find 10% and double (multiply by 2)61% find 1% (divide by 100) and multiply by 61
39Reduce the price of these trainers by 15% What is the new price?Trainers cost £26.00£ £1.30 = £3.90£ £3.90 =
4060 x 10 =60 divided by 100 =17 x 5 x4 =48 ÷ 3 =You buy two items for £1.75 and £3.62 –What change would you get from £10 ?What is half of 49?Find 15% of 400
41Ways to helpEnsure your child knows their times tables and division facts; then extend thise.g. 30 x 6420 divided by 7Improve their mental addition or subtraction skills by asking them questions on the way to school e.g You can make this fun!Ensure they do their homework ( remember this will only get more frequent in year 7!)Encourage them to do their best!Practising halving and doubling numbersTalking about real life maths situations – adding and finding the change