Maths Year 3 Weekly Plan: Autumn Week 1: Number, place value and money Objectives: Place two and three-digit numbers on a line; Order and compare three-digit numbers; Understand place value in three-digit numbers; Understand and use place value with Week 1 Tuesday Week 1 Monday money Starters Whole class teaching Guided group and independent paired/indiv practice activities Plenary Place value in two-digit Revise placing two-digit numbers on an empty number line Most children /Harder Sketch a 0numbers Revise counting in tens from 0 to 100 along the 100 bead Ask chn to sketch their own 0-100 line across the length of a 1000 line and Display Place Value Grid (PV bar. Write 49 on a tag. Where should I hang this tag? And page. They roll a pair of 0-9 dice to make a 2-digit number. mark 500. Grid) with tens and ones column 25? 52? Show a 0-100 beaded line. Ask chn to mark They can mark other numbers (e.g. 50 and other helpful Then draw an (see resources). Say thirty two numbers such as 45, 79, 95, and 23 by drawing a tag after multiples of 10) to help them. Repeat. arrow to 250. and ask children to write it on the appropriate number of beads. Repeat using a What number GUIDED: Easier their own PV Grid on landmarked line (10s labelled). How are you working out do you think Sketch a 0-100 line. Ask chn to help you mark multiples of 10. whiteboards. Check they have where to put 45? 23? Imagine 10 beads between 20 and 30, Draw an arrow and question mark where you think 26 might be I’ve marked written the correct digit in each where would 3 beads come up to? Draw out language such on this line? marked. What number do you think I’ve marked on this line? column and then repeat for as ‘half-way’, ‘closer to’, ‘just before/after’. Next draw a line Why? Repeat with other 2-digit numbers. Draw empty 0-100 Why? Repeat other two digit numbers. Finish from 0-100 with only 0 and 100 labelled and no other with other line. Draw an arrow to 53. What number do you think I’ve by saying five and check that marks. Where can we mark 47? What number could we numbers. marked on this line? Why? Ask chn to choose 2 multiples of 10 they write the 5 in the ones, not place on the line to help? And 27? 60? 90? for you to mark on the line. Which multiple of 10 is it closer to? the tens column. Repeat with other numbers: 61, 45, 89, 77, each on a new line. Count in 1s from Place three-digit numbers on a landmarked line Most children Sketch a 0 to 200 line 101 to 200 Show a 0-100 beaded bar with tags 0 and 100. Tell chn Children mark 50, 150, 250…950 on their 0-1000 landmarked lines and draw an arrow Count from 101 to to imagine we have two beaded bars side by side. (see resources), then roll a 0-9 dice 3 times to generate a 3-digit where you think 149 200, pointing to Roughly draw the first one on the board and then hold number and mark its approximate location on the line. They mark 5 might be. What numbers on 101 to you actual beaded bar to be the second one. Change the numbers on each line. number do you think 200 square (see labels to 100 and 200. Ask what 10 is now (110). And GUIDED: Medium I’ve marked on this resources) as you do 20? (120) Repeat for each multiple of 10. Count in 10s Sketch a 0-1000 line. Ask children to help you mark multiples of 50 line? Why? Children so. Remind chn how from 100 to 200. Where should we mark 149 on this and 100. Draw an arrow and question mark where you think 260 choose 2 multiples of these numbers have line? 125? 175? 199? How do you know? Discuss how might be marked. What number do you think I’ve marked on this line? 10 for you to mark. the same pattern as they can use their knowledge of placing numbers Why? Repeat with other 3-digit numbers. Draw empty 0-1000 line. What do you think it those from 1 to 100. between 0 and 100 to place numbers between 100 and Draw an arrow to 530. What number do you think I’ve marked on this might be now? Which Pass a bean bag 200. Show a 0-1000 landmarked line with 100s labelled line? Why? Repeat with other numbers: 610, 450, 890, 770. multiple of 10 is it round the class as (see resources). Use it to count on in 100s from 0 to closer to? Repeat with Easier Harder you count from 101. 1000. Where should we mark 50 on this line? 150? 250? other numbers such Children choose 5 Children draw 5 arrows on a 0-1000 Shout change and 350... 950? Ask chn to mark on other numbers such as as 199, 125, 176, 161, numbers to mark on landmarked line (see resources), then count backwards. 25, 125, 425, 725, 199, 299, 599, 999 encouraging chn 145, 189. Repeat with each 100-200 challenge their partner to work out what to use their knowledge of ordering numbers 0 to 100 landmarked line (see numbers they are pointing to. Can they guess a 200 to 300 line. and of ordering numbers 100 to 200 to place them. resources). to within 20 of the mystery number? © Original plan copyright Hamilton Trust, who give permission for it to be adapted as wished by individual users. MATHS Y3 Week 1 Autumn Week 1 Wednesday Maths Year 3 Weekly Plan: Autumn Starters Count on and back in tens from any single or two-digit number Use the 1-100 square to support counting in tens from any number. Remind children that Spider helps us count in tens, he only goes up and down the square, adding or subtracting 10s. Pass a bean bag round the class as you count from 3. Shout change when you get to 93 and then continue round the class counting backwards in tens. Whole class teaching Place value and ordering three-digit numbers Ask children to use their place value cards to make 23. Say: Show me! Now show me 123. What have you done? Now show me 223. Which card have you changed? And now 323. On board write the 4 numbers the children have just made (23, 123, 223, 323). Ask: Which is the biggest number? Which is the smallest? Check children have understood that they use the hundreds, tens and ones columns to help work out the comparative size. Model using < and > to write number sentences about the 4 numbers, e.g. 23 < 123, 23 < 223, 323 > 223). Ask three children to come up to the front and each make any three-digit numbers that they like. They stand at the front and show the class. Chn discuss in pairs which they think is the smallest numbers and which is the biggest. Ask a pair to come and move the children in order from least to greatest. Do the rest of the class agree? Repeat with three different children. Week 1: Number, place value and money Guided group and independent paired/indiv practice activities Plenary Whole class investigation Draw 2 columns with < This is a 2 part investigation. Most children and those working at a and > as the headings. Harder level should achieve both parts. Those working at an Easier level Ask children to select one might stay focused on the first part and could be given number cards to of the comparative help them manipulate the digits into different 3 digit numbers. number sentences they Part 1: Children investigate how many different ways they can arrange 3 have made during the digits which they generate by rolling a 0-9 dice three times. Eg: Roll 3, 7, investigation, write it on a 4. You can make these three digits into: 374, 347, 473, 437, 743, 734. Ask: Post-it noteTM and then How can you be sure you have all the combinations? They check their stick it in the correct solution by trying three different digits and seeing if they can make the column, e.g. 734 > 374 same amount of 3-digit numbers. They should conclude that with 3 digits would go in the > column. you can make 6 different 3-digit numbers. They then put them in order. As they bring up their Repeat. sentence, each child Easier: Chn write the biggest number and the smallest number it is should say their sentence, possible to make and then make a number in between these two. “seven hundred and Part 2: Children choose three numbers from one of the number sets they thirty four is greater than generated in Part 1 (e.g. 374, 347, 473) to investigate how many three hundred and comparative number sentences they can write using just those 3-digit seventy four”. Check numbers, e.g. 473 > 374, 473 > 347, 374 > 347, 374 < 473, 347 < 374, 347 they are able to say the 3 < 473). Ask: How can you be sure you have all the combinations? You may digit numbers in words need to guide the children to be systematic, suggest they start with the AND that they have biggest number and then compare that to all the others, then take the understood what the < next biggest etc. If time, repeat with three different numbers. and > means. © Original plan copyright Hamilton Trust, who give permission for it to be adapted as wished by individual users. MATHS Y3 Week 1 Autumn Week 1 Friday Week 1 Thursday Maths Year 3 Weekly Plan: Autumn Week 1: Number, place value and money Starters Place value in three-digit numbers Use the Spreadsheet Place value and partitioning tool. Choose 100s, 10s and 1s. Highlight a number from each row. Children use place value cards to make the total. Repeat. Include numbers such as 404 and 350. Whole class teaching Guided group and independent paired/indiv practice activities Plenary Write amounts in pounds and pence Most children Secretly put a pound coin and 50p coin Show 3 large pound coins, a 50p coin and a 2p coin (or Children write amounts in £ and p which match the in your pocket. I’ve got two coins in my IWB coins). How much money is here? How can we different purses shown. The purses contain notes and pocket. I’ve got more than £1 but less write it? Revise how we write this as £3.52. The coins to make given amounts under £10 including than £2. How much money might I number of pounds is written before the decimal point, amounts such as £2.50 and £2.05 (see resources). have? Ask chn to write some and the pence after it. The 5 represents five 10ps and possibilities on your whiteboards. I’ve Easier GUIDED: Harder then we have two 1ps. Repeat with 2 pound coins, a got more than one pound forty. What Children select an Say: ten pounds and twenty five 20p coin, a 10p coin, a 5p coin and a 2p coin. Repeat purse from a pence and ask children to write this do you think I have now? How do we with similar amounts also including a £5 note. Show 3 write that? Show children the coins. selection using £ and p. Repeat with other pound coins and 3 10p coins. How much is here? How Repeat with a £2 coin and a 5p coin. Say prepared with amounts larger than £10, making can we write it? Repeat this time showing 3 pound that this time you’ve got more than two amounts under sure to include opportunities for coins and 3 pennies. Write £3.3. Is this right? Discuss pounds and less than three pounds. £10 in, they count children to place 0s in every how it is not right as the 3 is in the 10ps column, not How much might I have? Chn write the money in it position as a placeholder, e.g. the pennies column. Rewrite it as £3.03. Point out that then write the some possibilities on w/bs. I’ve got less eleven pounds and six pence. You there are 3 pounds, no 10ps, and 3 pennies. We write than two pounds ten pence, and one amount using £ could extend this to hundreds and a zero in the tens place to show that there are no 10s. and p. thousands of pounds depending on coin is silver. What do you think I have? Repeat showing amounts such as £2.40 and £2.04. Show me on your whiteboards. the ability of your group. Count in 10s between Place value and comparing amounts of money written in pounds and pence Whole class practice Say: Bill has £4.20, 100 and 200 using Display PV Money Grid (see resources). Remind children of their work on Day 4, writing amounts in £ Display pairs of similar Zoe has £4.02 and 101 to 200 square and p. On Day 4 they wrote £3.30 and £3.03. Write these amounts on to your PV Money grid: amounts written in Clare has £2.40. Use the 101 to 200 words (see resources). Who has the most? £ . 10p 1p square (see resources) Children need to write Initially do this 3 . 3 0 to support counting in them in PV Grids and without writing it 3 . 0 3 tens from 103 to 193. then write comparative down, then as Ask children to tell you which amount is which. Ask Which is the bigger amount of money? Children close eyes. children explain Demonstrate that the PV Grid can easily help you to compare amounts of money, compare the £s, then number sentences Use Post-itsTM to underneath, exactly as their answers, the 10ps then the 1ps. In this example the £s are the same, so we need to look at the 10ps. Here there cover some numbers in Whole Class Teaching. model how to note are 3 x 10p in the top amount, 0 x 10p in the bottom, so you can tell that the top amount is the bigger. including those round Remind children of the work on Day 3, using symbols to represents greater than and less than. Model Harder: Ask chn to also down the numbers 145. Children work write an amount in and compare using these to write sentences comparing the two amounts, e.g. £3.03 < £3.30 and £3.30 > £3.03. out the missing between each pair of them. Repeat with other pairs of amounts of money, this time asking children to write the amounts up on the numbers. amounts. board for you as you say them in words: £6.72 and £6.27, £7.08 and £7.80, etc. © Original plan copyright Hamilton Trust, who give permission for it to be adapted as wished by individual users. MATHS Y3 Week 1 Autumn Maths Year 3 Weekly Plan: Autumn Week 1: Number, place value and money Resources PV Grid with tens and units (see resources) 0 to 9 dice 101-200 square (see resources) 100 bead bar and tags 0-1000 landmarked line (see resources) Day 2 Activity Sheet Most & Harder Placing 3-digit numbers (0 to 1000 landmarked lines, see resources) Day 2 Activity Sheet Easier Placing 3-digit numbers (100 to 200 landmarked lines, see resources) 1-100 grid Bean bag Place value cards Big Money Coins or IWB coins Day 4 Activity Sheet Most Write amounts in £ and p (see resources) Day 5 On board Place Value Money Grid (see resources) Day 5 Activity Sheet Writing and comparing amounts of money (see resources) Selection of purses/wallets with amounts of money totalling less than £10 Spreadsheet Place Value and partitioning tool (see resources) Post-it notes™ Abacus Year 3 Textbook 1 Abacus Textbook Pages for Alternative/Additional Practice Day Monday Group Most children Page Textbook 1, page 40 Tuesday Easier Most children Harder Easier Most children Harder Textbook 1, page 41 Textbook 1, page 42 Textbook 1, page 76 Textbook 1, page 59 Textbook 1, page 60 Textbook 1, page 61 Thursday The links to the websites and the contents of the web pages associated with such links specified on this list (hereafter collectively referred to as the ‘Links’) have been checked by Hamilton Trust (being the operating name of the registered charity, William Rowan Hamilton Trust) and to the best of Hamilton Trust’s knowledge, are correct and accurate at the time of publication. Notwithstanding the foregoing or any other terms and conditions on the Hamilton Trust website, you acknowledge that Hamilton Trust has no control over such Links and indeed, the owners of such Links may have removed such Links, changed such Links and/or contents associated with such Links. Therefore, it is your sole responsibility to verify any of the Links which you wish you use. Hamilton Trust excludes all responsibility and liability for any loss or damage arising from the use of any Links. © Original plan copyright Hamilton Trust, who give permission for it to be adapted as wished by individual users. MATHS Y3 Week 1 Autumn Maths Year 3 Weekly Plan: Autumn Week 1: Number, place value and money Outcomes Monday Tuesday 1. Say what each digit in a 2-digit number represents. 2. Place 2-digit numbers accurately on a 0-100 line. 1. Place 3-digit numbers accurately on a landmarked 0-1000 line. Outcomes for most children Wednesday 1. Say what each digit represents in a 3 digit number. 2. Use this knowledge to compare 3digit numbers. Thursday 1. Write amounts in £ and p including using zero as place holder. Friday 1. Write amounts in £ and p. 2. Compare amounts of money using place value knowledge. Default (outcomes for children not on statements but not able to reach the outcomes for most children) 1. Say what each digit in a 2-digit number represents. 2. Use place value to work out the value of a given point on a 0-100 line. 1. Place 3-digit numbers accurately on a landmarked 100-200 line. 1. Say what each digit represents in a 3-digit number. 2. Begin to use this knowledge to order 3-digit numbers. 1. Write amounts in £ and p. 1. Write amounts in £ and p. Only record names of children who struggled or exceeded these outcomes © Original plan copyright Hamilton Trust, who give permission for it to be adapted as wished by individual users. MATHS Y3 Week 1 Autumn