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Engage Year 3 students in placing 3-digit numbers on a line, partitioning into 1s, 10s, and 100s, and comparing them. Includes engaging games and challenges to enhance understanding.
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Place Value and Money Place 3-digit numbers on a line Partition into 1s, 10s and 100s Objectives Day 1 Place 3-digit numbers on a number line Day 2 Place 3-digit numbers on a number line Day 3 Partition 3-digit numbers into 100s, 10s and 1s Compare and order numbers Day 4 Use place value to compare and order 3-digit numbers Find a number between two 3-digit numbers Day 5 Understand place value in 3-digit numbers Year 3
Place Value and Money Place 3-digit numbers on a line Partition into 1s, 10s and 100s Starters Day 1 Place 2-digit numbers on a 0–100 line (pre-requisite skills) Day 2 Place value in 3-digit numbers (pre-requisite skills) Day 3 Tell the time to the nearest 5 mins (simmering skills) Day 4 Compare pairs of 3-digit numbers (pre-requisite skills) Day 5 Round 2- and 3-digit numbers to nearest 10 (simmering skills) Year 3
Place Value and Money Place 3-digit numbers on a line Partition into 1s, 10s and 100s Starter Place 2-digit numbers on a 0–100 line Year 3
Place Value and Money Place 3-digit numbers on a line Partition into 1s, 10s and 100s Starter Place value in 3-digit numbers Year 3
Place Value and Money Place 3-digit numbers on a line Partition into 1s, 10s and 100s Starter Tell the time to the nearest 5 mins Year 3
Place Value and Money Place 3-digit numbers on a line Partition into 1s, 10s and 100s Starter Compare pairs of 3-digit numbers Year 3
Place Value and Money Place 3-digit numbers on a line Partition into 1s, 10s and 100s Starter Round 2- and 3-digit numbers to nearest 10 Year 3
Place Value and Money Place 3-digit numbers on a line Partition into 1s, 10s and 100s Objectives Day 1 Place 3-digit numbers on a number line. Year 3
Day 1: Place 3-digit numbers on a number line. Talk to your partner – what are your top tips for placing 2-digit numbers in order on this line? How close is the number to 50? 0 100 How close is the number to 0 or 100? Look at the 10s first. Any others? If the 10s are the same, look at the 1s. Year 3
Day 1: Place 3-digit numbers on a number line. 250 275 Let’s see if our top tips work for 3-digit numbers. What number goes here? 200 300 275 is halfway between 250 and 300, just like 75 is halfway between 50 and 100. Does marking 250 help? Year 3
Day 1: Place 3-digit numbers on a number line. 400 500 425 What number could this be? Does marking 500 help? 425 … imagine the line has been halved and halved again. Does marking 400 help? Year 3
Day 1: Place 3-digit numbers on a number line. 416 482 437 400 410 420 430 440 450 460 470 480 490 500 On your whiteboards draw a line from 400 to 500 and mark in the 10s. Let’s count them… …and 482 … Mark on 437 on your line. …finally 416. Which is the closest 10 to each of those numbers? Year 3
Place Value and Money Place 3-digit numbers on a line Partition into 1s, 10s 100s Objectives Day 2 Place 3-digit numbers on a number line. Year 3
Day 2: Place 3-digit numbers on a number line. How close is the number to a whole 100? How close are the 10s to 50? Look at the 10s – how close is the number to a whole 10? Any others? • What are some of our top tips for placing numbers on a line? If the 10s are the same, look at the 1s. Year 3
Day 2: Place 3-digit numbers on a number line. 0 100 200 300 400 500 600 700 800 900 1000 250 643 990 Let’s try placing numbers on a 0-1000 line… Where will 990 go? Where will 643 go? Where will 250 go? Halfway between 200 and 300. Just before 1000. Not quite halfway between 600 and 700. Year 3
Day 2: Place 3-digit numbers on a number line. 0 100 200 300 400 500 600 700 800 900 1000 115 350 480 830 On your whiteboards draw a 0-1000 line. Work with a partner to see how close you were. Carefully mark on the numbers 350, 830, 480 and 115. Let’s check those…. Year 3
Challenge Year 3
Place Value and Money Place 3-digit numbers on a line Partition into 1s, 10s 100s Objectives Day 3 Partition 3-digit numbers into 100s, 10s and 1s. Compare and order numbers. Year 3
Day 3: Partition 3-digit numbers into 100s, 10s and 1s; Compare and order numbers. The aim is to get the largest number. Let’s play the Nasty Game. Place it on either team’s grid. In turns choose a number from the 0-9 cards. Year 3
Day 3: Partition 3-digit numbers into 100s, 10s and 1s; Compare and order numbers. Let’s try a game… 7 5 2 Team A draws 5 and places it in their 10s. 3 8 4 Team B draws 4 and places it in their 1s. Team A draws 2 and places it in their 1s. Team A draws 3 and places it in Team B’s 100s. Nasty! Team B draws 7 and has to place it in Team A’s 100s. Who has the largest number? Team B draws 8 and places it in their 10s. 0 100 200 300 400 500 600 700 800 900 1000 384 752 Year 3
Challenge Year 3
Place Value and Money Place 3-digit numbers on a line Partition into 1s, 10s 100s Objectives Day 4 Use place value to compare and order 3-digit numbers. Find a number between two 3-digit numbers. Year 3
Day 4: Use place value to compare and order 3-digit numbers; Find a number between two 3-digit numbers. 372 643 463 657 If you want to decide which is the bigger number, which digits will you look at first? What can you do if the 100s are the same? Year 3
Day 4: Use place value to compare and order 3-digit numbers; Find a number between two 3-digit numbers. Let’s check… 742, 387, 125 On your whiteboards write these numbers in order biggest to smallest. Now try these three: smallest to biggest. How can you decide? Let’s check… 673, 727, 958 Year 3
Day 4: Use place value to compare and order 3-digit numbers; Find a number between two 3-digit numbers. Let’s check… 482, 274, 245 Now try these biggest to smallest. Now try these three smallest to biggest. How can you decide? Let’s check… 432, 461, 463 Year 3
Day 4: Use place value to compare and order 3-digit numbers; Find a number between two 3-digit numbers. 615 Let’s check… 973 725 615, 725, 973 On your whiteboards write these numbers in order smallest to biggest. Now write some numbers that go in-between each pair. Between 615 and 725? Between 725 and 973? Year 3
Challenge Year 3
Place Value and Money Place 3-digit numbers on a line Partition into 1s, 10s 100s Objectives Day 5 Understand place value in 3-digit numbers. Year 3
Day 5: Understand place value in 3-digit numbers. What is the best digit to start with? What is the largest odd 3-digit number that can be made using digits 0 to 9? Each digit can only be used once. What must the number end in? Careful not use a digit twice! Adele says that the answer must be 987. Is she right? Who can explain why? Year 3
Day 5: Understand place value in 3-digit numbers. Here are some more numbers to find…. remember each digit can only be used once. B. The smallest 3-digit multiple of 5. C. The number closest to 800. A. The largest even 3-digit number. • What are some of the criteria for each target number. This is a trial and improvement activity, move around digits until you have found an answer that meets all the criteria. Year 3
Day 5: Understand place value in 3-digit numbers. Whole class investigation • Work in pairs … Using digits 0 to 9 (only use a digit once in a number), make 3-digit numbers as follows: • the largest even number; • the smallest multiple of 5; • the number closest to 800. • Challenge • Think of your own rules to make a number. • Check it, then add it to the list on the board for others to try. Year 3
Place Value and Money Place 3-digit numbers on a line Partition into 1s, 10s and 100s Objectives Day 1 Place 3-digit numbers on a number line. Day 2 Place 3-digit numbers on a number line. Day 3 Partition 3-digit numbers into 100s, 10s and 1s Compare and order numbers. Day 4 Use place value to compare and order 3-digit numbers Find a number between two 3-digit numbers. Day 5 Understand place value in 3-digit numbers. Well Done! You’ve completed this unit. Year 3
Problem solving and reasoning questions Sketch a line 0-1000 and mark 500 on it. Mark 350, 700 and 990 on the line. How can you demonstrate that you have marked these accurately? True or false • Between any pair of next-door multiples of 100, there are always 98 whole numbers. • The middle of a 500-1000 line is 800. • There are ten numbers ending in 3 between 300 and 400. • The digit 0 is used 18 times between 600 and 700. Write numbers to make the sentences true: a) 100 < < 110 b) 304 > > 302 c) 999 > > 888 d) 0 < 101 < e) 459 < < 461 Write the value of the 5 digit in these numbers: (i) 652 (ii) 591 (iii) 905 Year 3