Year 4 Times Tables

2014 Curriculum Count in multiples of 6, 7, 9, 25 and 1,000 Recall multiplication and division facts for multiplication tables up to 12 × 12 Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together 3 numbers Recognise and use factor pairs and commutativity in mental calculations Multiply two-digit and three-digit numbers by a one-digit number using formal written layout Solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by 1 digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects

Notes and guidance (non-statutory) Pupils continue to practise recalling and using multiplication tables and related division facts to aid fluency. Pupils practise mental methods and extend this to 3-digit numbers to derive facts, (for example 600 ÷ 3 = 200 can be derived from 2 x 3 = 6). Pupils practise to become fluent in the formal written method of short multiplication and short division with exact answers Pupils write statements about the equality of expressions (for example, use the distributive law 39 × 7 = 30 × 7 + 9 × 7 and associative law (2 × 3) × 4 = 2 × (3 × 4). They combine their knowledge of number facts and rules of arithmetic to solve mental and written calculations for example, 2 x 6 x 5 = 10 x 6 = 60. Pupils solve two-step problems in contexts, choosing the appropriate operation, working with increasingly harder numbers. This should include correspondence questions such as the numbers of choices of a meal on a menu, or 3 cakes shared equally between 10 children.

As from 2017 Year 6 children will have to take a times tables test online. This test will be timed to assess your child’s knowledge, speed and accuracy.

Multiplication Vocabulary

Setting out Always starting with the times table you are focussing on. 2 x 0 = 0 2 x 1 = 2 2 x 2 = 4 2 x 3 = 6 etc

Progression Counting in steps Chanting Learning by rote Learning in random order

Recall and use multiplication and division facts for multiplication tables up to 12 x 12.

Fluency • Find the answers: 4 x 12 = 5 x 9 = 7 x 8 = 8 x 11 = • Fill in the gaps: 4 x __ = 12 8 x __ = 64 32 = 4 x __ 6 = 24 ÷ __ • Leila has 6 bags with 5 apples in each. How many apples does she have altogether?

Reasoning • Complete these calculations: 7 x 8= 7 x 4 x 2= 5 x 6 = 5 x 3 x 2= 12 x 4 = 12 x 2 x 2= Which calculations have the same answer? Can you explain why? • True or False 6 x 8 = 6 x 4 x 2 6 x 8 = 6 x 4 + 4 Explain your reasoning. Can you write the number 24 as a product of three numbers?

Problem Solving Find three possible values for and . X = 24 I am thinking of 2 secret numbers where the sum of the numbers is 16 and the product is 48. What are my secret numbers? Can you make up 2 secret numbers and tell somebody what the sum and product are? • How many multiplication and division sentences can you write that have the number 72 in them?

Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers.

Fluency Fill in the missing numbers: Holly has 1 box of 12 eggs, how many eggs does she have? Sally has 0 boxes of 12 eggs, how many eggs does she have? Write these two questions as multiplication sentences.

Reasoning Always, sometimes, never An even number that is divisible by 3 is also divisible by 6. Harvey has written a number sentence. 13 x 0 = He says, ‘I can change one number in my number sentence to make a brand new multiplication.’ Is he correct? Which number should he change? Explain your reasoning.

Problem Solving • Write the number 30 as the product of 3 numbers. Can you do it in different ways? • Try to reach the target number below by multiplying three of the numbers together. Cross out any numbers you don’t use. Target number: 144

Recognise and use factor pairs and commutatively in mental calculations.

Fluency Find the missing numbers 12 x 6 = 6 x ___ 2 x 3 x 5 = __ x 5 2 x 7 x 5 = __ x 5 • 13 x 12 can be solved by using factor pairs, eg 13 x 3 x 4 or 13 x 2 x 6. What factor pair could you use to solve 17 x 8?

Reasoning • Fill in the missing numbers 25 x 3 = ___ = ___ ÷ ___ • Use factor pairs to solve 15 x 8.Is there more than one way you can do it? • Multiply a number by itself and then make one factor one more and the other one less. What do you notice? Does this always happen? Eg 4 x 4 = 16 6 x 6= 36 5 x 3 = 15 7 x 5= 35 Try out more examples to prove your thinking.

Problem Solving • Place <, >, or = in these number sentences to make them correct: 50 x 4 4 x 50 4 x 50 40 x 5 200 x 5 3 x 300 • The school has a singing group of more than 12 singers but less than 32. They sing together in different ways. Sometimes they sing in pairs and sometimes in groups of 3, 4 or 6. Whatever size groups they are in, no one is left out and everyone is singing. How many singers are there in the school choir?

Multiply two digit and three digit numbers by a one digit number using formal written layout.

Fluency • 57 x 5 = • 324 x 6= • Sahil has 45 packets of sweets. Each packet has 6 sweets in it. How many sweets does he have altogether?

Reasoning • Penny says a two digit number multiplied by a one digit number will always give a two digit answer. Is she correct? Justify your answer. • Find the mistake that has been made in the calculation below. Explain and correct it. • What number goes in the missing box? Convince me.

Problem Solving What could the numbers in the multiplication be? Every digit is different. ??? x 3 = ???? Miss Wood orders some new whiteboard pens for Year 5 and 6. There are 160 children in Year 5 and 6. If she orders 6 boxes of 27 pens, will she have enough? Show your calculation. In one month, Charlie read 814 pages in his books. His mum read 4 times as much as Charlie which was 184 pages more than Charlie’s dad. How many pages did they read altogether? Use a bar model to help.

Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects.

Fluency Harry buys 6 chocolate bars, one chocolate bar costs 54p. How much does Harry spend? a) Write a number sentence to represent the problem. b) Solve the problem.

Reasoning Miss Smith estimates 399 x 60 = 240000 Was she right to do that? Explain why. In a box there are red and yellow cubes. For every 5 red cubes there are 3 yellow cubes. Hannah says ‘ If I have more than 10 red cubes, I will definitely have more than 10 yellow cubes.’ Do you agree? Convince me.

Problem Solving • An ice cream sundae is made from one scoop of ice cream, one topping and one sauce. How many different ice cream sundaes can be created from 5 different flavours of ice cream, 3 different toppings and 4 different sauces?

Leaflet- Games and Websites Digit cards Dice www.bitesize.co.uk nrich.org www.topmarks.co.uk www.teachingtables.co.uk www.twinkl.co.uk Times table mats and times tables wheels

Times tables Tips 7 x 10 x 3 x 2 x 4 x 5 x 6 x 1 x 8 x October 2007. Kindly contributed to the Adult Basic Skills Resource Centre http://www.skillsworkshop.org/ by Gaye Noel g.noel@parklanecoll.ac.uk Park Lane College, Leeds. Thank you Gaye. Main curriculum links N1/E3.5 Recall multiplication facts, for example multiples of 2, 3, 4, 5, 10. N1/L1.5 Recall multiplication facts up to 10 x 10 and make connections with division facts. 6 x 1 x 8 x

3x table X 1 2 3 4 5 6 7 8 9 10 3 6 9 12 15 18 21 24 27 30 tip Add the digits (e.g. 27 = 2 + 7 = 9) If the digits add up to 3, 6 or 9 they belong to the 3x table and 3 will divide into them exactly. Do you think that this trick could be used to see if 3 divides into any number? Have a go!

If I know the 3x table, …………………… How will I find the answers to complete the 6x table? X 1 2 3 4 5 6 7 8 9 10 3 6 9 12 15 18 21 24 27 30 6

As you already know: Double 2 is 4 4x table X 1 2 3 4 5 6 7 8 9 10 4 8 12 16 20 24 28 32 36 40 All numbers in the 4x table are even. This means they end with 0, 2, 4, 6, or 8. tip As you already know: Double 2 is 4 So when you multiply any number by 2 and then double it . It is the same as multiplying by 4 Try a few! Does it work?

If I know the 4x table, …………………… What do I need to my answers to complete the 8x table? X 1 2 3 4 5 6 7 8 9 10 4 8 12 16 20 24 28 32 36 40 8

Can I tell if 5 goes into 145, 1232, 670 or 2475? 5x table X 1 2 3 4 5 6 7 8 9 10 5 10 15 20 25 30 35 40 45 50 All numbers in the 5x table end with 0 or 5. tip Can I tell if 5 goes into 145, 1232, 670 or 2475? How?

Count the fingers on each side of the bent finger 9x table X 1 2 3 4 5 6 7 8 9 10 9 18 27 36 45 54 63 72 81 90 tip Bend the first finger over Count the fingers on each side of the bent finger 9 9 x 1 = 9

A times table square could also help you learn your tables

6 x 6 = 36 X 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 21 24 27 30 28 32 36 40 25 35 45 50 42 48 54 60 49 56 63 70 64 72 80 81 90 100