Plan: Abacus Year 5 Term: Spring 2 Week: 20 5-6K Date: 20/03/15 School Name: Windmill Primary School Teacher: Neil Knipe Class: Quick Maths for the Week: QM 5.20.1 Multiplication facts up to 12 × QM 5.20.2 Subtracting 1-digit 12 numbers QM 5.20.3 Adding to make 100 QM 5.20.4 Using mixed operations QM 5.20.5 Driving Test 20 Strands: Written addition and subtraction (WAS); Problem solving, reasoning and algebra (PRA) Week summary: Solve subtraction of 4-digit numbers using written column subtraction (decomposition); add several numbers using written column addition; use column to solve problems Main Focus Starter Teaching Summary Lesson 96 ST 5.20.1Chn write a digit 0–9 on their white boards. Teacher writes a 5-digit number on board. Chn read, and if their digit is in the number, they write the value of it. Task Descriptions Outcomes Core: GP.C 5.20.1 Chn start at Children can: Teaching: Model solving 4753 – 2376 using the question 6 on GP 5.20.1 'Written compact column method on Written calculations: solve 4-digit – 4-digit Solve subtraction of 4addition and subtraction tool 5.20.1. Ask chn how column subtraction'. subtractions using written digit numbers using many digits they think will need to be moved. Support: (T) Gui 5.20.1 Chn start at column method. written column question 1 on GP 5.20.1 'Written subtraction Discuss what each digit represents and show column subtraction'. Work with chn to (decomposition) using Base 10 equipment. Discuss how chn knew how many digits would be write questions as expanded column subtraction, and solve. moved. Task: Chn solve 8526 – 5274 =. Use Papers tool Extend: GP.E 5.20.1 Chn do questions 9–17 on GP 5.20.1 'Written 5.20.1 to demonstrate how to write as column column subtraction'. subtraction. Teaching: Share answers and model solving. Objectives: WAS.55 Use expanded or compact decomposition to subtract numbers with up to 4-digits (easier) Key Vocabulary: subtraction; column subtraction; expanded; compact; digit; ones; tens; hundreds; thousands; greater Physical Resources: base-10 equipment; whiteboardsDigital Resources: GP 5.20.1; Lesson: Year 5 Lesson 96; Papers tool 5.20.1; Written calculations: addition and subtraction tool 5.20.1 1 Abacus Plan © Pearson 05:30 Pearson is not responsible for the quality, accuracy or fitness for purpose of the materials contained in the Word files once edited. To revert to the original Word files, re-download them from ActiveLearn Primary. Lesson 97 ST 5.20.2Chn choose a 5-digit multiple of 3, 5, 10, 3 or 9 and write it so a partner can't see. The partner asks yes/no questions to try to identify the number. Rpt. Core: (T) Gui 5.20.2 Chn roll a dice Children can: to generate two 4-digit numbers and solve 4-digit subtractions write as a subtraction. Predict how using the written column many digits they will have to move method and estimate the answer before solve written column carrying out the written column subtractions of 4-digit method. numbers where you have Core: Y5 TB2 p82 to move three digits. Linked Resources: Y5 TB2 Answers p76–84 Support: Y5 TB2 p81 Linked Resources: Y5 TB2 Answers p76–84 Extend: Y5 TB2 p83 Linked Resources: Y5 TB2 Answers p76–84 Objectives: WAS.58 Use expanded or compact decomposition to subtract numbers with up to 4-digits (harder) Key Vocabulary: subtraction; column subtraction; expanded; compact; digit; ones; tens; hundreds; thousands; greater; predict; estimate Physical Resources: dice; squared paper; Y5 Textbook 2; Photocopiables: Y5 TB2 Answers p76–84; Digital Resources: Lesson: Year 5 Lesson 97; Papers tool 5.20.2; Screen 5.20.2; Written calculations: addition and subtraction tool 5.20.2 ST 5.20.3Chn Core: Y5 TB2 p85 3 Lesson 98 Children can: Teaching: Chn estimate the answer to 6346 – estimate the 3768 using rounding. Share estimates and model Linked Resources: Y5 TB2 Answers solve 4-digit subtractions Solve subtraction of 4answers to the solving using Written calculations: addition and p85-95 using column subtraction digit numbers using number subtraction tool 5.20.3, discussing each step. written column Support: IP 5.20.3 Chn use place- check 4-digit subtractions sentences on Discuss answer in relation to estimate. subtraction value cards (Resource sheets 22– using estimating and Screen 5.20.3 so (decomposition) Check the answer using addition, writing as 24b and 137a/b) to make a 4-digit addition that they can column addition on Papers tool 5.20.3. number to subtract from 9542. identify patterns and make match the answer Task: Chn choose whether to use Frog (counting Estimate and choose method. Check predictions. to the question. up) or written column subtraction to solve 8004 – using addition. Discuss and Extend: (T) Gui 5.20.3 Work with chn 5975. Estimate then solve, checking answer model estimating against estimate. to discuss patterns and write rules as using rounding they work through Y5 TB2 p85, Teaching: Chn share estimates and methods and adjusting. used. Compare answers, modelling solving using making predictions. both column addition and Frog. Encourage chn to Extend: Y5 TB2 p85 check answers using addition. Linked Resources: Y5 TB2 Answers p85-95 2 Solve subtraction of 4digit numbers using written column subtraction (decomposition) As a class, write instructions for solving 4-digit subtractions using the written column method. Check the list on Screen 5.20.2. Model solving 8342 – 4786 on Written calculations: addition and subtraction tool 5.20.2 using the expanded and compact methods. Remind chn that when they move a digit they need to remember to change the number they moved it from and to add it to where they are moving it to. Remind chn of the choices of written methods that they have. Abacus Plan © Pearson 05:30 Pearson is not responsible for the quality, accuracy or fitness for purpose of the materials contained in the Word files once edited. To revert to the original Word files, re-download them from ActiveLearn Primary. Objectives: WAS.58 Use expanded or compact decomposition to subtract numbers with up to 4-digits (harder); PRA.70 Identify patterns, devise and test rules and use them to make predictions Key Vocabulary: subtraction; column subtraction; expanded; compact; digit; ones; tens; hundreds; thousands; predict; estimate; counting up; addition; rounding Physical Resources: calculators; stickers; whiteboards; Y5 Textbook 2; Photocopiables: Resource sheet 22; Resource sheet 23a; Resource sheet 23b; Resource sheet 24a; Resource sheet 24b; Resource sheet 137a; Resource sheet 137b; Y5 TB2 Answers p85-95; Digital Resources: Lesson: Year 5 Lesson 98; Papers tool 5.20.3; Screen 5.20.3; Written calculations: addition and subtraction tool 5.20.3 ST 5.20.4Chn Core: (T) Gui 5.20.4 Chn find the 4 Lesson 99 Children can: Teaching: Show chn the towers on Screen 5.20.4a, explaining that building these involves a heights of the world's tallest towers add several numbers (2-, Adding several numbers generate 2 numbers with a and add the top 4, then 3 or 4 of their lot of maths. 3- and 4-digit) using using written column 0–9 dice, and two column addition. addition Explain that they will be adding towers of numbers favourites. Use Resource sheets 553 with a standard and show Screen 5.20.4b of several 3- and 4-digit or 554 to write the calculations. dice and add all 4 numbers to add. Work through the first tower block Discuss number facts used to help. together, as using column addition. Say the final answer and Core: Y5 TB2 p88 quickly as they do a rough check by rounding. Linked Resources: Y5 TB2 Answers can, using known Task: Chn solve the other tower addition, rounding p85-95 facts. Support: Y5 TB2 p87 to estimate first. Linked Resources: Y5 TB2 Answers Teaching: Chn share their additions. Remind of p85-95 the importance of writing neatly. Extend: Y5 TB2 p89 Model solving the addition on the board. Chn check their answers and spot errors. Linked Resources: Y5 TB2 Answers p85-95 Objectives: WAS.56 Use column addition to add several numbers with up to 4-digits with answers > 10000; WAS.64 Use column addition to add several numbers with up to 4-digits Key Vocabulary: addition; column addition; expanded; compact; digit; ones; tens; hundreds; thousands; predict; estimate; rounding; number facts Physical Resources: calculators; dice; whiteboards; Y5 Textbook 2; Photocopiables: Resource sheet 553; Resource sheet 554; Y5 TB2 Answers p85-95; Digital Resources: Lesson: Year 5 Lesson 99; Screen 5.20.4a; Screen 5.20.4b Abacus Plan © Pearson 05:30 Pearson is not responsible for the quality, accuracy or fitness for purpose of the materials contained in the Word files once edited. To revert to the original Word files, re-download them from ActiveLearn Primary. Lesson 100 ST 5.20.5In groups of 4, each child writes a 2digit multiple of 10. Chn find the total for their group using mental methods. Compare answers and methods. Rpt. Core: (T) PSR.C 5.20.5 Chn discuss Children can: how to approach the problem to find use column addition to the total height of chn in the class. add several 3-digit Chn consider if their chosen method numbers to solve a is the most effective. Encourage to problem check answers. use a tape measure to Support: (T) PSR.S 5.20.5 Chn measure to the nearest discuss how to approach the problem centimetre. to find the total height of chn in the class. Provide some of the totals or allow a calculator for some of the work. Encourage to check answers. Extend: (T) PSR.E 5.20.5 Chn discuss how to approach the problem to find the total height of chn in the class. Chn consider the quickest way to solve. Encourage to check answers. Will the height be taller than the school? Objectives: WAS.56 Use column addition to add several numbers with up to 4-digits with answers > 10000; WAS.64 Use column addition to add several numbers with up to 4-digits Key Vocabulary: height; centimetres; metres; measure; addition; multiplication; tallest Physical Resources: calculators; chalk; tape measure; Photocopiables: Resource Sheet 136; Resource sheet 553; Digital Resources: Lesson: Year 5 Lesson 100; Screen 5.20.5 5 Adding several numbers using written column addition and using column addition to solve problems Extra Resources: FF 5.20a Parking costs Teaching: Explain to chn that they will be adding their heights to see if their combined height would be taller than the school. Remind chn how to use a tape measure to measure their heights in centimetres. Task: In pairs, chn measure each other's height. Teaching: Start to record 15 chn's heights in the chart on Screen 5.20.5, starting with the tallest. Discuss if there are any that are the same. Convert the heights to metres and complete that column on the table. Explain to chn that they need to work out the total height. FF 5.20b Reduced and sorted FF 5.20c Dates for the diary Description Linked resources Suggested homework Activity Abacus Plan © Pearson 05:30 Pearson is not responsible for the quality, accuracy or fitness for purpose of the materials contained in the Word files once edited. To revert to the original Word files, re-download them from ActiveLearn Primary. Pupil Video 5.20 Subtracting 4-digit numbers using compact column subtraction This video explains how to subtract two 4-digit numbers using compact column subtraction. It is accompanied by a Pupil Worksheet for children to practise this method. This is suggested for use in Year 5 Week 20, and focuses on teaching from Lessons 96, 97 and 98. Abacus Plan © Pearson 05:30 Pearson is not responsible for the quality, accuracy or fitness for purpose of the materials contained in the Word files once edited. To revert to the original Word files, re-download them from ActiveLearn Primary. Pupil Worksheet 5.20a Subtracting 4-digit numbers using compact column subtraction Pupil Worksheet 5.20b Subtracting 4-digit numbers using compact column subtraction (Answers)