Success Criteria Aim I can divide numbers by a one-digit number using short division. I can use known multiplication facts to complete calculations. I understand why place value is important whilst performing written calculations. I can use a written method to solve a calculation. I can divide numbers by a one-digit number using short division.
Diamond Puzzles Can you solve these diamond puzzles? The top number is the product of the middle numbers. The bottom number is the sum of the middle numbers. 42 13 6 7 24 10 6 4 27 12 3 9 72 17 8 9
Let’s watch this video about today’s lesson: https://www.youtube.com/watch?v=fq2UXvSMWfs
I have 95 mealworms and want to equally share them between five tubs. How many mealworms will there be in each tub? Tackle Shop Today, we will be learning about the written method, short division.
First, we need to read the question and highlight any key words. Tackle Shop I have 95 mealworms and want to equally share them between five tubs. How many mealworms will there be in each tub? I have 95 mealworms and want to equally share them between five tubs . How many mealworms will there be in each tub ? The question is asking us to share the mealworms between the tubs. Therefore a division calculation is needed. Short division is based on the idea of distributing the division across a partitioned number, e.g. distributing the division of five across the addition of nine tens and five ones in the number 95. The number being divided is known as the dividend. The number by which another number is to be divided is known as the divisor. 5 9 5
I have 95 mealworms and want to equally share them between five tubs. How many mealworms will there be in each tub? Tackle Shop First we divide 9 (tens) by five. This gives a result of 1 (ten) remainder 4. The 1 is written in the tens position of the answer above the line. 5 9 5 1 9 4 The remainder, 4 (tens) is exchanged for 40 ones and regrouped into the ones column. This is shown by a small 4 in front of the existing 5 ones to make 45 ones. Next, we divided 45 (ones) by five. This gives a result of 9 (ones). The 9 is written in the ones position of the answer above the line. So 95 ÷ 5 = 19 How could we check our answer?
Let’s break this method down: 84÷3 Step 1- Draw the Bus Stop Step 2- Put the number you are dividing by on the outside. 3 84 Step 3- Put the number you want to divide inside. Now we’re ready…
3 4 8 Step 1- How many 3s go into 8? Step 2- We “give” the remainder to 4 to get 24 2 2 8 Step 3- How many 3s go into 24?
24 Great! How many 2s are there in 8? How many are left over? How many 2s are there in 4? 4 2 8 4 2 48 ÷ 2 =
Great! How many 2s are there in 16? How many are left over? How many 2s are there in 7? 8 3 1 6 7 2 76 ÷ 2 = 38
Great! How many 5s are there in 15? How many are left over? How many 5s are there in 6? 3 1 1 5 6 5 65 ÷ 5 = 13
Great! How many 5s are there in 40? How many are left over? How many 5s are there in 9? 8 1 4 9 5 90 ÷ 5 = 18
Great! How many 3s are there in 6? How many are left over? How many 3s are there in 3? 2 1 6 3 3 36 ÷ 3 = 12
Great! How many 4s are there in 12? How many are left over? How many 4s are there in 9? 3 2 1 2 9 4 92 ÷ 4 = 23
Let’s have a go at a different problem involving three-digit numbers. Tackle Shop I have 294 bait floats that are in seven different colours. There is an equal number of each colour. How many bait floats are there of each colour? First, we need to read the question and highlight any key words. I have 294 bait floats that are in seven different colours. There is an equal number of each colour. How many bait floats are there of each colour? The number being divided is known as the dividend. The number by which another number is to be divided is known as the divisor. The question is asking us to find out the amount of each coloured bait float. Therefore a division calculation is needed. Short division is based on the idea of distributing the division across a partitioned number, e.g. distributing the division of seven across the addition of two hundreds, nine tens and four ones in the number 294. 7 2 9 4
I have 294 bait floats that are in seven different colours. There is an equal number of each colour. How many baits floats are there in each colour? Tackle Shop 7 2 9 4 4 2 2 1 First we divide 2 (hundred) by seven. This gives a result of 0 (hundreds) remainder 2 (hundreds). The remainder, 2 (hundreds) is exchanged for 20 tens and regrouped into the tens column. This is shown by a small 2 in front of the existing 9 tens to make 29 tens. Next, we divide 29 (tens) by seven. This gives a result of 4 (tens) remainder 1 (ten). The 4 is written in the tens position of the answer above the line. After, we divide 14 (ones) by seven. This gives a result of 2 (ones) The 2 is written in the ones position of the answer above the line. So 294 ÷ 7 = 42 How could we check our answer? The remainder 1 (ten) is exchanged for 10 ones and regrouped into the ones column. This is shown by a small 1 in front of the existing 4 ones to make 14 ones.
Great! 145 ÷ 5 = 4 How many 5s are there in 45? 29 How many are left over? How many 5s are there in 14? How many are left over? How many 5s are there in 1? 2 1 1 5 5 9 4
Great! 670 ÷ 5 = 7 How many 5s are there in 20? 134 How many are left over? How many 5s are there in 17? How many are left over? How many 5s are there in 6? 3 1 1 6 5 4 2
Great! 362 ÷ 2 = 6 How many 2s are there in 2? 181 How many are left over? How many 2s are there in 16? How many are left over? How many 2s are there in 3? 8 1 1 3 2 2 1
Great! 608 ÷ 2 = How many 2s are there in 8? 304 How many are left over? How many 2s are there in 0? How many are left over? How many 2s are there in 6? 3 6 2 8 4
Great! 642 ÷ 3 = 4 How many 3s are there in 12? 214 How many are left over? How many 3s are there in 4? How many are left over? How many 3s are there in 6? 1 2 6 3 2 4 1
Great! 512 ÷ 4 = 1 How many 4s are there in 32? 128 How many are left over? How many 4s are there in 11? How many are left over? How many 4s are there in 5? 2 1 1 5 4 2 8 3
Which fish weighs the most? Click on the fish to reveal their weights. Biggest Fish 508kg ÷ 4 = 127kg 424kg ÷ 8 = 53kg
Which fish weighs the most? Click on the fish to reveal their weights. Biggest Fish 742kg ÷ 7 = 106kg 873kg ÷ 9 = 97kg
Which fish weighs the most? Click on the fish to reveal their weights. Biggest Fish 912kg ÷ 2 = 456kg 900kg ÷ 4 = 225kg
Which fish weighs the most? Click on the fish to reveal their weights. Biggest Fish 612kg ÷ 9 = 68kg 536kg ÷ 8 = 67kg
Classwork 1: Abacus 5.1 pg 63 (1-6) You need to divide all numbers by 4 using the bus stop method.
Classwork 2: Abacus 5.1 pg 64 (5-9) You need to divide all numbers by 8 using the bus stop method.
Success Criteria Aim I can divide numbers by a one-digit number using short division. I can use known multiplication facts to complete calculations. I understand why place value is important whilst performing written calculations. I can use a written method to solve a calculation. I can divide numbers by a one-digit number using short division.