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. Before teaching, be aware that: On Day 1 and Day 2 you can also use the ‘Number Grid’ ITP to explore the patterns shown here in screenshot. On Day 3 children will need mini-whiteboards and pens. 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) Choose starters that suit your class by dragging and dropping the relevant slide or slides below to the start of the teaching for each day. Year 4

Multiplication and Division Times tables: multiplication and division facts Starter Division facts for the 6 times table Pre-requisite skills – to use this starter, drag this slide to the start of Day 1 Children choose six numbers from 1 to 12 to write in a 3 × 2 grid. Shuffle a set of multiples of 6 cards (6 to 72) and show one. Children think how many 6s are in this number and ring the answer if they have it. Encourage them to count up in 6s on their fingers if they do not know the fact by heart. Repeat until at least one child rings all their numbers. Year 4

Multiplication and Division Times tables: multiplication and division facts Starter Multiplication and division facts Pre-requisite skills – to use this starter, drag this slide to the start of Day 2 Draw the triangle on the board; Ask children to work in pairs to write four number sentences that use all three numbers: two multiplications and two divisions, i.e. 9 × 4 = 36, 4 × 9 = 36, 36 ÷ 9 = 4 and 36 ÷ 4 = 9. Repeat for other triangles, e.g. 48, 6 and 8; 48, 12 and 4; 42, 6 and 7. Year 4

Multiplication and Division Times tables: multiplication and division facts Starter 9 and 90 times tables Pre-requisite skills – to use this starter, drag this slide to the start of Day 3 Shuffle a pack of 1 to 12 cards and show them one at a time to the class. Children work in pairs, one child multiplies the number by 9 (using the finger trick if necessary - see whole-class teaching unit Day 1); the other child by 90. Year 4

Multiplication and Division Times tables: multiplication and division facts Objectives Day 1 Know multiplication and division facts for the 9 times table. Year 4

Let’s count in 9s on the counting stick. Day 1: Know multiplication and division facts for the 9 times table. Let’s count in 9s on the counting stick. 9 18 27 36 45 54 63 72 81 90 99 108 How many 9s are in 27? How many 9s are in 45? How many 9s are in 81? 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 9s! Hold out your hands, with palms facing toward you. Fold down the second finger from the left (including thumb). Put your second finger back up and fold down your third finger. This gives the answer to three 9s, can you see it? Put your third finger back up and fold down your fourth finger. This gives the answer to four 9s! Carry on and find 5, 6, 7, 8 and 9 nines. 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? Year 4

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

Let’s look at the multiples of 9. 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. What’s a good way to remember 11 × 9 and 12 × 9 ? Up to 90, what happens to the 1s and the 10s each time? What happens when we find the digit sum for each multiple? For example 2 + 7, or 5 + 4? Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download on our website. WT: Multiples of 9 bingo game. ARE: Multiples of 9 card and dice game. GD: Multiples of 9 card and dice game, plus Challenge. Year 4

The Practice Sheet on this slide is suitable for most children. You can download differentiated PRACTICE WORKSHEETS from Hamilton’s website in this unit’s PROCEDURAL FLUENCY box. WT: 9 times table; start at Q1 and do up to Q12. ARE: 9 times table; start at Q9. GD: 9 times table; start at Q9 and aim to do the Challenge. Challenge 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. Year 4

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

How can we describe these patterns? 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…? Year 4

Let’s look at the multiples of 7… 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 9s we explored last time? Not so many patterns with the 7 times table facts, but our activities will help us remember them! Today would be a great day to use a problem-solving investigation – Table digital roots– as the group activity, which you can find in this unit’s IN-DEPTH INVESTIGATION box on Hamilton’s website. Alternatively, children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download on our website. WT/ ARE: 7 times table card and dice game. GD: Speed test on 7 times table and exploring digital roots of multiples. Year 4

Challenge The Practice Sheet on this slide is suitable for most children. You can download differentiated PRACTICE WORKSHEETS from Hamilton’s website in this unit’s PROCEDURAL FLUENCY box. WT: 7 times table Sheet 1. ARE: 7 times table Sheet 2. GD: 7 times table Sheet 3. Year 4

Multiplication and Division Times tables: multiplication and division facts Objectives Day 3 Know the 11 and 12 times tables. Year 4

Let’s look at the 11× table. Day 3: Know the 11 and 12 times tables. 1 × 11 = 11 Let’s look at the 11× table. 2 × 11 = 22 3 × 11 = 33 Copy onto your whiteboard and continue up to 12 × 11. 4 × 11 = 44 5 × 11 = 55 6 × 11 = 66 7 × 11 = 77 Let’s check… 8 × 11 = 88 9 × 11 = 99 Did any patterns help you? 10 × 11 = 110 If we know 10 × 11 = 110 we can add 11 to find 11 × 11 and then 11 more to find 12 × 11. 11 × 11 = 121 12 × 11 = 132 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! 10 × 11 = 110 11 × 11 = 121 12 × 11 = 132 13 × 11 = 143 Try 13 × 11. Add the digits in 13. 1 + 3 = 4. Place 4 between the 1 and the 3 to get 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... Year 4

Try the others like that. Day 3: Know the 11 and 12 times tables. 1 × 12 = 12 Let’s try the 12× table. We can add 12 each time… 2 × 12 = 24 3 × 12 = 36 4 × 12 = 48 …or can use our 10s and 2s. 5 × 12 = 60 6 × 12 = 72 7 × 12 = 84 8 × 12 = 96 For example, 7 × 12. We know 7 × 10 = 70 and 7 × 2 = 14 so 7 × 12 = 70 + 14 = 84. 9 × 12 = 108 10 × 12 = 120 11 × 12 = 132 Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download on our website. WT: Card game practising 11 and 12 times tables. ARE/GD: Practising 12 times table and exploring digital root pattern. Try the others like that. 12 × 12 = 144 Let’s check… Year 4

Challenge The Practice Sheet on this slide is suitable for most children. You can download differentiated PRACTICE WORKSHEETS from Hamilton’s website in this unit’s PROCEDURAL FLUENCY box. WT: The 11 and 12 times tables Sheet 1. ARE: The 11 and 12 times tables Sheet 2. GD: The 11 and 12 times tables Sheet 2 - aim to complete the Challenge. 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. You can now use the Mastery: Reasoning and Problem-Solving questions to assess children’s success across this unit. Go to the next slide. 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?! Write a word problem to help practise the 11x table with one of these answers: 88p 132cm £121 154 minutes x 7   9 42 63 8 96 Year 4