Subtraction – Objectives Subtract four-digit numbers by counting up. © Hamilton Trust Keeping Up Term 1 Week 8 Day 3
Subtraction – Direct Teaching 3000 – 1685 1685 3000 2000 15 1000 300 1700 If pupils find the large numbers off-putting, ask them to consider only the last three digits to start the calculation. How can go straight to the next 100? (We count on 5 and then 10 in our heads.) Then we count on to 2000. It’s easy to count on from there! © Hamilton Trust Keeping Up Term 1 Week 8 Day 3
Subtraction – Individual Practice Use ‘counting up’ to solve the following: 3000 – 1875 4000 – 2650 2000 – 1260 5000 – 2845 6000 – 4525 3000 – 976 4000 – 1190 5000 – 2252 It is essential here that pupils are hopping to the next multiple of 100 in ONE jump. So 1875 to 1900 is one hop of 25. Watch out for pupils whose place value is not strong. This means they have difficulty hopping from 1900 to 2000 or from 4600 to 5000. © Hamilton Trust Keeping Up Term 1 Week 8 Day 3
Subtraction – Direct Teaching 3120 – 1565 1565 3120 2000 35 1000 120 400 3000 1600 Some pupils may be able to do just one hop to go from 2000 to 3120 if their understanding of place value is very good. How can we go straight to the next 100? (We count on 5 and then 30 in our heads.) Then we count on to 2000, then we can do 1 or 2 hops to the end. So 3120 – 1565 = 1555 © Hamilton Trust Keeping Up Term 1 Week 8 Day 3
Subtraction – Student Activity Work in pairs Choose two number cards from below each. Put your cards together to create a 4-digit number. For example with 2, 4, 5 and 7 you can make 4257. Reverse the digits to create a new number. Write it. 4257 reversed is 7524. Find the difference between the two numbers. Each record your calculation and then agree your answer. Repeat this five times. It is essential here that pupils are hopping to the next multiple of 100 in ONE jump. So 4257 to 4300 is one hop of 43. You will need to watch out for pupils whose place value is not strong. This means they have difficulty hopping from 5000 to 7524 in one jump. They can break it into more than one hop. So 5000 to 7000 and then 7000 to 7524 in a second hop. 8 2 1 4 5 3 9 6 7 © Hamilton Trust Keeping Up Term 1 Week 8 Day 3
Subtraction – Individual Practice Use ‘counting up’ to solve the following: 3241–1875 4132–2650 2021–1265 5124–2886 6100–3525 3256–1058 4583–1890 5125–2257 It is essential here that pupils are hopping to the next multiple of 100 in ONE jump. So 1875 to 1900 is one hop of 25. You will need to watch out for pupils whose place value is not strong. This means they have difficulty hopping from 2000 to 3241 in one jump. They can break it into more than one hop. So 2000 to 3000 and then 3000 to 3241. © Hamilton Trust Keeping Up Term 1 Week 8 Day 3