Multiplication and Division Times tables multiplication and division

Multiplication and Division Times tables: multiplication and division facts Objectives Day 1 Know multiplication and division facts for the 9 times table. Day 2 Begin to know multiplication and division facts for the 7 times table. Day 3 Know the 11 and 12 times tables. © hamilton-trust. org. uk 1 Year 4

Multiplication and Division Times tables: multiplication and division facts Starters Day 1 Division facts for the 6 times table (pre-requisite skills) Day 2 Multiplication and division facts (pre-requisite skills) Day 3 9 and 90 times tables (pre-requisite skills) © hamilton-trust. org. uk 2 Year 4

Multiplication and Division Times tables: multiplication and division facts Starter Division facts for the 6 times table © hamilton-trust. org. uk 3 Year 4

Multiplication and Division Times tables: multiplication and division facts Starter Multiplication and division facts © hamilton-trust. org. uk 4 Year 4

Multiplication and Division Times tables: multiplication and division facts Starter 9 and 90 times tables © hamilton-trust. org. uk 5 Year 4

Multiplication and Division Times tables: multiplication and division facts Objectives Day 1 Know multiplication and division facts for the 9 times table. © hamilton-trust. org. uk 6 Year 4

Day 1: Know multiplication and division facts for the 9 times table. Let’s count in 9 s on the counting stick. 0 9 18 27 36 45 54 63 72 81 90 99 108 How many 9 s are in 27? How many 9 s are in 45? How many 9 s are in 81? © hamilton-trust. org. uk 7 Year 4

Day 1: Know multiplication and division facts for the 9 times table. We can use our hands to show the 9 times table! You have 1 thumb standing up before the folded down finger, and 8 fingers after it, 1 ten and 8 ones making 18. That’s two 9 s! Hold out your hands, with palms facing toward you. Fold down the second finger from the left (including thumb). Put your third finger back up and fold down your fourth finger. This gives the answer to four 9 s! Carry on and find 5, 6, 7, 8 and 9 nines. Put your second finger back up and fold down your third finger. This gives the answer to three 9 s, can you see it? © hamilton-trust. org. uk 8 Year 4

Day 1: Know multiplication and division facts for the 9 times table. If all the multiples of 9 were marked on the grid what pattern would you see? © hamilton-trust. org. uk 9 Year 4

Day 1: Know multiplication and division facts for the 9 times table. Let’s see… Why do 9 s have this pattern? What happens when 9 is added to any number on the grid…? © hamilton-trust. org. uk 10 Year 4

Day 1: Know multiplication and division facts for the 9 times table. 9 18 27 36 45 54 63 72 81 90 99 108 Let’s look at the multiples of 9. Up to 90, what happens to the 1 s and the 10 s each time? What happens when we find the digit sum for each multiple? For example 2 + 7, or 5 + 4? © hamilton-trust. org. uk 11 What’s a good way to remember 11 × 9 and 12 × 9 ? Year 4

Challenge © hamilton-trust. org. uk 12 Year 4

Multiplication and Division Times tables: multiplication and division facts Objectives Day 2 Begin to know multiplication and division facts for the 7 times table. © hamilton-trust. org. uk 13 Year 4

Day 2: Begin to know multiplication and division facts for the 7 times table. Let’s count in 7 s on the counting stick. 0 7 14 21 28 35 42 49 56 63 70 77 84 How many 7 s are in 28? How many 7 s are in 56? How many 7 s are in 77? © hamilton-trust. org. uk 14 Year 4

Day 2: Begin to know multiplication and division facts for the 7 times table. If all the multiples of 7 were marked on the grid what pattern would you see? © hamilton-trust. org. uk 15 Year 4

Day 2: Begin to know multiplication and division facts for the 7 times table. Let’s see… How can we describe these patterns? What happens when 7 is added to any number on the grid…? © hamilton-trust. org. uk 16 Year 4

Day 2: Begin to know multiplication and division facts for the 7 times table. 7 14 21 28 35 42 49 56 63 70 77 84 Let’s look at the multiples of 7… Do the multiples of 7 all have a digit sum of 7, like the 9 s we explored last time? Not so many patterns with the 7 times table facts, but our activities will help us remember them! © hamilton-trust. org. uk 17 Year 4

Investigation: Adult Sheet © hamilton-trust. org. uk 18 Year 1

Investigation: Child Sheet © hamilton-trust. org. uk 19 Year 1

Challenge © hamilton-trust. org. uk 20 Year 4

Multiplication and Division Times tables: multiplication and division facts Objectives Day 3 Know the 11 and 12 times tables. © hamilton-trust. org. uk 21 Year 4

Day 3: Know the 11 and 12 times tables. 1 × 11 = 11 2 × 11 = 22 3 × 11 = 33 4 × 11 = 44 5 × 11 = 55 6 × 11 = 66 7 × 11 = 77 8 × 11 = 88 9 × 11 = 99 10 × 11 = 110 11 × 11 = 121 12 × 11 = 132 © hamilton-trust. org. uk Let’s look at the 11× table. Copy onto your whiteboard and continue up to 12 × 11. Let’s check… Did any patterns help you? If we know 10 × 11 = 110 we can add 11 to find 11 × 11 and then 11 more to find 12 × 11. 22 Year 4

Day 3: Know the 11 and 12 times tables. There’s a trick for 12 × 11. Add the digits in 12. 1 + 2 = 3 so we put 3 between the 1 and 2 of 12 to get 132! Try 13 × 11. Add the digits in 13. 1 + 3 = 4. Place 4 between the 1 and the 3 to get 143. 10 × 11 = 110 11 × 11 = 121 12 × 11 = 132 13 × 11 = 143 14 × 11 = 154 15 × 11 = 165 16 × 11 = 176 17 × 11 = 187 18 × 11 = 198 Try 14 × 11 and continue on to 18 × 11. Let’s check those. . . © hamilton-trust. org. uk 23 Year 4

Day 3: Know the 11 and 12 times tables. 1 × 12 = 12 2 × 12 = 24 3 × 12 = 36 4 × 12 = 48 5 × 12 = 60 6 × 12 = 72 7 × 12 = 84 8 × 12 = 96 9 × 12 = 108 10 × 12 = 120 11 × 12 = 132 12 × 12 = 144 Let’s try the 12× table. We can add 12 each time… …or can use our 10 s and 2 s. For example, 7 × 12. We know 7 × 10 = 70 and 7 × 2 = 14 so 7 × 12 = 70 + 14 = 84. Try the others like that. Let’s check… © hamilton-trust. org. uk 24 Year 4

Challenge © hamilton-trust. org. uk 25 Year 4

Multiplication and Division Times tables: multiplication and division facts Objectives Day 1 Know multiplication and division facts for the 9 times table. Day 2 Begin to know multiplication and division facts for the 7 times table. Day 3 Know the 11 and 12 times tables. © hamilton-trust. org. uk 26 Year 4

Problem solving and reasoning questions Which of these numbers are multiples of 9? 28 108 126 49 153 891 How do you know? Which of these numbers are multiples of 7? 84 79 32 63 56 140 133 How do you know? Complete this grid as fast as you can. Can you solve the puzzle in under one minute? ! x 8 7 9 42 63 96 Write a word problem to help practise the 11 x table with one of these answers: 88 p 132 cm £ 121 154 minutes © hamilton-trust. org. uk 27 Year 4

Problem solving and reasoning questions answers Which of these numbers are multiples of 9? 28 108 126 49 153 891 How do you know? Complete this grid as fast as you can. Can you solve the puzzle in under one minute? ! 108, 126, 153 and 891 are all multiples of 9 since - in each case - the digit sum is 9. x 7 12 9 6 42 72 54 7 49 84 63 Which of these numbers are multiples of 7? 84 79 32 63 56 140 133 8 56 96 72 How do you know? 84, 63, 56, 140 and 133 are all multiples of 7. The Children not as confident with related division facts first three are in the 7 times table; children may struggle with this. Practise those as regularly as should recognise 140 as a multiple of 7 (2 x 7 x the multiplication facts. 10) and 133 is 7 less than 140 so is also a multiple of 7. Write a word problem to help practise the 11 x table with one of these answers: 88 p 132 cm £ 121 154 minutes. Various possibilities; the answers are 8, 12, 11 and 14 times 11 respectively– check the context of the problem matches the units/ measures. © hamilton-trust. org. uk 28 Year 4