Decimals and Fractions Unit 1: Add or subtract decimals Year 6 Autumn Decimals and Fractions Unit 1: Add or subtract decimals Objectives Day 1: Add/subtract multiples of 0.01 to/from numbers with two decimal places, crossing multiples of 0.1 and 1. Day 2: Add 2 or 3 amounts of money using column addition; Use rounding to check answers. Day 3: Add 2 or 3 numbers with two decimal places in a measures context, e.g. metres. Use rounding to check answers Before teaching, be aware that: On Day 1 children will need mini-whiteboards and pens. Year 6 Decimals and Fractions

Unit 1: Add or subtract decimals Objective Day 1: Add/subtract multiples of 0.01 to/from numbers with two decimal places, crossing multiples of 0.1 and 1. Year 6 Decimals and Fractions

Count in steps of 0.01 from 2.45 to 2.55. Day 1: Add/subtract multiples of 0.01 to/from numbers with two decimal places, crossing multiples of 0.1 and 1. Count in steps of 0.01 from 2.45 to 2.55. 2.52 – 0.03 Count back from 2.52 on the counting stick to find the answer. We can use place value and number facts to bridge 2.5: 2.45 2.46 2.47 2.48 2.49 2.5 2.51 2.52 2.53 2.54 2.55 2.49 2.5 2.52 0.01 0.02 2.52 – 0.02 = 2.5 using place value Year 6 Decimals and Fractions

We can also use place value and number facts to bridge 2.5: Day 1: Add/subtract multiples of 0.01 to/from numbers with two decimal places, crossing multiples of 0.1 and 1. 2.47 + 0.07 We can count on from 2.47 on the counting stick to find the answer. We can also use place value and number facts to bridge 2.5: 2.47 + 0.03 = 2.5 using number facts 2.5 + 0.04 = 2.54 using place value 2.47 2.5 2.54 0.03 0.04 Year 6 Decimals and Fractions

Count back from 2.05 on the counting stick. Day 1: Add/subtract multiples of 0.01 to/from numbers with two decimal places, crossing multiples of 0.1 and 1. Count back from 2.05 on the counting stick. 1.95 1.96 1.97 1.98 1.99 2 2.01 2.02 2.03 2.04 2.05 Now calculate 2.02 – 0.05 2.97 2 2.02 - 0.03 - 0.02 Children can now go on to do one of Hamilton’s differentiated GROUP ACTIVITIES, which you will find on the TEACHING AND GROUP ACTIVITIES download. WT: Game to add and subtract multiples of 0.01 crossing through multiples of 1 and 0.1 using a number line. ARE/GD: Repeatedly add 0.06, then subtract 0.07. Challenge to repeatedly add multiples of 0.01 to end on a given number. Draw an empty number line jotting bridging 2. Year 6 Decimals and Fractions

Day 1: Add/subtract multiples of 0 Day 1: Add/subtract multiples of 0.01 to/from numbers with two decimal places, crossing multiples of 0.1 and 1. The Practice Sheet on this slide is probably suitable for most children. Download all differentiated PRACTICE WORKSHEETS from this unit’s PROCEDURAL FLUENCY box. WT: Add and subtract multiples of 0.01, crossing through multiples of 1 and 0.1 using a number line. ARE/GD: Add and subtract multiples of 0.01, crossing through multiples of 1 and 0.1 including word problems. Year 6 Decimals and Fractions

Unit 1: Add or subtract decimals Objectives Day 2: Add 2 or 3 amounts of money using column addition; Use rounding to check answers. Year 6 Decimals and Fractions

Remember to leave a blank row above the answer line. Day 2: Add 2 or 3 amounts of money using column addition; Use rounding to check answers. Three DVDs cost £10.49, £14.79 and £12.25. Round to the nearest pound in order to give an estimate of the total cost. Now let’s find the exact cost using compact column addition. Add the 10ps Add the £10s Add the £1s Add the 1ps £ 1 0 . 4 9 £ 1 4 . 7 9 + £ 1 2 . 2 5 Remember to leave a blank row above the answer line. How does this compare with your estimate? 5 1 2 3 £ 3 7 . Year 6 Decimals and Fractions

How does your answer compare with your estimate? Day 2: Add 2 or 3 amounts of money using column addition; Use rounding to check answers. Three DVDs costing £15.79, £8.69 and £12.45. Round to the nearest pound in order to give an estimate of the total cost. Now use compact column addition to find the exact total. Is this right? £ 1 5 . 7 9 £ 8 . 6 9 + £ 1 2 . 4 5 £ 1 5 . 7 9 £ 8 . 6 9 + £ 1 2 . 4 5 Make sure that children leave a blank row above the answer line and align the decimal points correctly. Agree the answer as £36.93. Children can now go on to do one of Hamilton’s differentiated GROUP ACTIVITIES, which you will find on the TEACHING AND GROUP ACTIVITIES download. WT: Add two amounts of money, aligning digits correctly. Estimate totals first. ARE: Add three amounts of money, aligning digits correctly. Estimate totals first. GD: Write three amounts with a total within a given range. How does your answer compare with your estimate? Year 6 Decimals and Fractions

Day 2: Add 2 or 3 amounts of money using column addition; Use rounding to check answers. The Practice Sheet on this slide is probably suitable for all children. Download it from this unit’s PROCEDURAL FLUENCY box. WT: Children start at question 1 adding mostly two amounts. ARE: Children start at question 5 and do as many as they can. GD: Children start at question 9 and add three amounts. Year 6 Decimals and Fractions

Unit 1: Add or subtract decimals Use rounding to check answers. Objectives Day 3: Add 2 or 3 numbers with two decimal places in a measures context, e.g. metres; Use rounding to check answers. Year 6 Decimals and Fractions

How does this compare with your estimate? Day 3: Add 2 or 3 numbers with two decimal places in a measures context, e.g. metres; Use rounding to check answers. A group of scientists are investigating how far snails crawl in a day. Sally the snail crawled 10.57 metres in the morning and 8.36 metres after lunch. Round to the nearest metre in order to give an estimate of the total distance. Now let’s find the exact total using compact column addition. 50cm + 30cm + 10cm = 90cm 7cm + 6cm = 13cm Remember to leave a blank row above the answer line and align the decimal points. 1 0 . 5 7 m + 8 . 3 6 m How does this compare with your estimate? 1 3 m 1 8 . 9 Year 6 Decimals and Fractions

Day 3: Add 2 or 3 numbers with two decimal places in a measures context, e.g. metres; Use rounding to check answers. Sidney Snail has crawled 12.34m, then 10.86m. Round to the nearest metre in order to give an estimate of the total distance. Now find the exact total using compact column addition. 30cm + 80cm + 10cm = 1m 20cm This is very similar to adding amounts of money. BUT we don’t need to write the last zero like we would for money, where we have to write £23.20, not £23.2. We write this answer as 23.2m. 4cm + 6cm = 10cm 1 2 . 3 4 m + 1 0 . 8 6 m How does this compare with your estimate? Carefully talk through adding 30cm, 80cm and to give 1m and 20cm. The ask children to finish off the addition. Children can now go on to do one of Hamilton’s differentiated GROUP ACTIVITIES, which you will find on the TEACHING AND GROUP ACTIVITIES download. WT/ARE: Shuffle given digit cards to make additions of distances in metres with 2 decimal places, round and find the total. GD: Add and round three distances in metres (2 decimal places) crawled by snails. 1 1 0 m 2 3 . 2 Year 6 Decimals and Fractions

Day 3: Add 2 or 3 numbers with two decimal places in a measures context, e.g. metres; Use rounding to check answers. The Practice Sheet on this slide is probably suitable for most children. Download all differentiated PRACTICE WORKSHEETS from this unit’s PROCEDURAL FLUENCY box. WT/ARE: Adding two distances. GD: Adding three distances. Year 6 Decimals and Fractions

Year 6 Autumn Decimals and fractions Well done! You’ve completed this add or subtract decimals unit. Objectives Day 1: Add/subtract multiples of 0.01 to/from numbers with two decimal places, crossing multiples of 0.1 and 1. Day 2: Add 2 or 3 amounts of money using column addition; Use rounding to check answers. Day 3: Add 2 or 3 numbers with two decimal places in a measures context, e.g. metres. Use rounding to check answers. 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 6 Decimals and Fractions

Decimals and Fractions Unit 1 Problem solving and reasoning questions   Problem solving and reasoning questions    Jo counts from a number to 4.5 in eleven steps of 0.03. What was her starting number?  Write the next 4 numbers in each sequence. 2.68 2.69 __ __ __ __ 6.43 6.42 __ __ __ __ 1.98 1.99 __ __ __ __     Write the missing numbers. 3.24 + 0.04 = [__] [__] + 0.07 = 3.5 4.56 + [__] = 4.76 Jim runs 13.85 kilometres and Ann runs 12.78 kilometres to meet him. How far have they run in total? Year 6 Decimals and Fractions