Updated October 2017
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- Stewart Taylor
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1 Updated October 2017
2 Count objects to 100 and read and write numbers in numerals and words Represent numbers to 100 Tens and ones with a part whole model Tens and ones using addition Use a place alue chart Compare objects Compare numbers Order objects and numbers Count in 2s, 5s and 10s Count in 3s Read and write numbers to at least 100 in numerals and in words. Recognise the place alue of each digit in a two digit number (tens, ones) Identify, represent and estimate numbers using different representations including the number line. Compare and order numbers from 0 up to 100; use <, > and = signs. Use place alue and number facts to sole problems. Count in steps of 2, 3 and 5 from 0, and in tens from any number, forward and backward.
3 To build on skills learned in Year 1, children need to be able to count objects to 100 in both numerals and words. Problems should be presented in a ariety of ways e.g. numerals, words and images. Variation should challenge children by proiding them with missing numbers which are nonconsecutie. Count and write the number of cars in the car park. one three four seen eight ten eleen There are. cars in the car park. What numbers are represented below? Write your answer in numerals and words. How can you count the cars? Do you hae a strategy? What is one more/one less? Which is the largest number? Which number is tricky to write in words? Which numbers sound similar? How are 17 and 70 different? Can you show me? Match the numerals to the words Thirty eight Seenty Forty eight Seenteen
4 Year 2 Autumn Term Week 1 to 4 Number: Place Value Count Objects to 100 Reasoning and Problem Soling Tom says he has 61 Is he correct? Explain your reasoning Freddy rolls two dice. One dice shows a 6. What could his total be? Write your answers in words. Tom is not correct because he has 16. He has switched his ten and one around. Freddy s totals could be: seen, eight, nine, ten, eleen and twele. Each bag contains 10 cookies. How many cookies are there altogether? Write your answers in numerals and words. What strategy did you use? There are 48 (forty eight) cookies altogether. (Children may count in 10s and 1s or know that there are 4 tens which equals 40, then count on 8 more.)? How many dots of one die? How did you count the dots? How many dots on a nine sided die? 6 sided die: 21 dots 9 sided die: 50 dots Did your partner use a different method? What is the best strategy to use
5 Children need to be able to represent numbers to 100 using a range of concrete materials. In this small step, children should also be able to state how a number is made up. For example they can express 42 as 4 tens and 2 ones or as 42 ones. Here is part of a bead string. Complete the sentence. There are tens and ones. The number is Represent 45 on a bead string. Match the number to the correct representation. How hae the beads been grouped? How does this help you count? Which part of the resource represents tens/ones? Which resource do you prefer to use for larger numbers? Which is quickest? Which would take a long time? Three tens and four ones Twenty fie 33 Represent 67 in three different ways?
6 Year 2 Autumn Term Week 1 to 4 Number: Place Value Represent Numbers Reasoning and Problem Soling Place 36 on each of the number lines below: How many two digit numbers can you make using the digit cards? One of these images does not show 23. Can you explain the mistake? A B C C does not show 23, it shows 32. They hae reersed the tens and ones. What is the largest number? Proe it by using concrete resources. What is the smallest number? Proe it by using concrete resources. Why can t the 0 be used as a tens number? The largest number is 72 The smallest number is 20.
7 Children now partition numbers and need to hae an understanding of what each digit represents. It is important that children can partition numbers in a ariety of ways, not just as tens and ones. For example, 58 is made up of 5 tens and 8 ones or 4 tens and 18 ones, or 20 and 38, etc. Complete the part whole models Complete the part whole models Which part do we know? How can we use the whole and part to work out the missing part? Can you use concrete materials/draw something to help you partition? How can you rearrange the counters to help you count the lemon and strawberry cupcakes? The ten frames represent lemon and strawberry cupcakes. Draw a part whole model to show how many cupcakes there are altogether.
8 Week 1 to 4 Number: Place Value Charlotte says: In a part whole model you cannot use the same digit twice Disagree- you can use the same digit in a part whole model. i.e Complete the extended part whole model: ? Do you agree with Charlotte? Explain your reasoning. 51?
9 Children will build on preious learning on the part whole model and how tens and ones can be partitioned and recombined to make a total. This small step will focus on using the addition symbol to express numbers to 100. For example 73 can be written as 70 3 = 73 Match the number sentences to the correct number What clues are there in the calculations? Can we look at the tens number or the ones number to help us? What number completes the part-whole model? What is the same and different about the calculations? What are the key bits of information? Can you draw a diagram to help you? Complete the part-whole model and write four number sentences to match Hattie has 20 sweets and Noah has 15 sweets. Represent the total number of sweets: With concrete resources In a part whole model As a number sentence = = = =
10 Year 2 Autumn Term Week 1 to 4 Number: Place Value Tens and Ones (2) Reasoning and Problem Soling Joel thinks that: 40 2 = = 42 Joel has combined the numbers to make 402 Fill in the missing numbers: 1 ten 3 ones = 13 2 tens ones = 23 1 ten 3 ones = 13 2 tens 3 ones = 23 3 tens 3 ones = 33 4 tens 3 ones = 43 Explain the mistake he has made. Can you show the correct answer using concrete resources? 3 tens 3 ones = tens 3 ones = 43 What would the next number in the pattern be? 5 tens 3 ones = 53
11 To build on skills preiously taught, children are now formally presenting their work in the correct place alue columns to aid understanding of place alue. What number is represented in the place alue chart? Tens Ones It is important for children to use concrete, pictorial and abstract representations in their place alue chart. Complete the place alue charts using Base 10 and place alue counters to represent the number 56. Tens Ones Tens Ones How many tens are there? How many ones are there? What is different about using Base 10 and place alue counters? Can you write any other number sentences about the place alue chart? What number is represented in the place alue chart? Tens Ones 9 1 Write two different number sentences for this number. = =
12 Year 2 Autumn Term Place Value Charts Reasoning and Problem Soling How many two digit numbers can you make that hae the same number of tens and ones? Tens Tens Ones Ones Possible answers: Are these two place alue charts of equal alue? A B Yes they are of the same alue = = 41 Same: Both A and B show 41 Different: There are different tens and ones in each place alue chart. Tens Ones What is the same? What is different?
13 Once children are secure with tens and ones and how to place numbers on a place alue chart, comparing objects can be introduced. Children are expected to compare a ariety of objects using the ocabulary more than, less than and equal to and the symbols < and >. How can you arrange the objects to make them easy to compare? Do groups of ten help you count? Why? A packet of sweets contain 10 sweets. Helena s sweets Who has the most sweets? Use cubes to show that: Eleen is less than fifteen. 19 is greater than 9. 2 tens is equal to 20. Put <, > or = in each circle. Zak s sweets
14 Year 2 Autumn Term Comparing Objects Reasoning and Problem Soling Daisy and Dae are comparing numbers that they hae made. Daisy Dae Daisy is incorrect because Dae has 4 tens which makes 40 and Daisy has 3 tens and 6 ones which makes 36 therefore Dae has more. Use Base 10 to make A and B equal: = = Daisy My number is greater because I hae more objects. How could you make B more than A? B can be greater than A if you add more than 34 to it. Is Daisy correct? Explain your answer.
15 Children compare numbers using the language greater than, less than, more than, fewer, most, least and equal to. They are able to use the symbols <, > and = to write number sentences. Complete the statements using more than, less than or equal to. 42 is is is thirty eight Complete the number sentences. 4 tens and 9 ones > < 70 5 Can you proe your answers using concrete resources? Can you proe your answers by drawing a diagram? Is there more than one answer? Do you need to work the number sentences out to decide which is greater? eight tens = Put <, > or = in each circle
16 Year 2 Autumn Term Week 1 to 4 Number: Place Value Comparing Numbers Reasoning and Problem Soling How many different numbers can go in the box? Fill in the missing numbers using 1,2,4 and 7 13 < < 20 True or False: One ten and twele ones is bigger than two tens. Explain how you know. 14,15,16,17,18,19 True: One ten twele ones = 22 Two tens = 20 < < < 9 > < 8 > < or < < > < > < 7 < 8 5 < 6 > 3 21 < 9 > 12
17 Children order numbers and objects from smallest to greatest or greatest to smallest. They should be encouraged to use concrete or pictorial representations to proe or check their answers. Children use the ocabulary smallest and greatest and may also use the < or > symbols to show the order of their numbers. Circle the numbers 48, 43 and 50 on the number line Put the numbers 48, 43 and 50 in order starting with the smallest Use Base 10 to make the numbers sixty, sixteen and twenty six. Write the numbers in order starting with the greatest number. The diagrams represent different numbers. How does the number line help you order the numbers? How does Base 10 proe that your order is correct? Circle the greatest number. Circle the smallest number. Complete the number sentence >
18 Year 2 Autumn Term Week 1 to 4 Number: Place Value Order Numbers and Objects Reasoning and Problem Soling If you ordered the numbers below, which would be the fourth? Explain how you ordered them I ordered them from smallest to largest: 29, 33, 34, 37, 43, would be the fourth number Alternatiely, if I order the numbers from largest to smallest: 53, 43, 37, 34, 33, 29, Bill has written a list of 2 digit numbers. The digits of each number add up to 5. None of the digits are 0. Can you find all the numbers Bill could hae written? Write the numbers in order from smallest to largest. 14, 23, 32, would be the fourth number.
19 Children now need to count on and back in 2s, 5s and 10s. Continue each number sequence. It is important that children do not always start from zero, howeer they should start on a multiple of 2 or 5 when counting in 2s and 5s but can start from any number when counting in 10s. For example when counting in 2s they should not start at 3. Encourage children to look for patterns as they count. What do you notice? Are the numbers getting larger or smaller? Are the numbers getting bigger or smaller each time? By how much? Can you spot a pattern? Why is it the odd one out? Can you correct the mistake? Circle the odd one out in each number pattern. 2, 4, 6, 8, 9, 10, , 5, 10, 20, 30, , 30, 25, 20, 12, 10.. Count forwards and backwards in jumps of ten from: Fifty seen 40 1
20 Year 2 Autumn Term Week 1 to 4 Number: Place Value Counting in 2s, 5s, 10s Reasoning and Problem Soling Alfie says: Do you agree with Alfie? Proe it. If you count in 5s from any number in the fie times table your numbers hae to end in 5 or 0. Agree. Each number in the 5 times tables does end in a 5 or 0. 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. Using these numbers, trael from 5 to 53 by using the arrows. 10, 29, 43, 15, 17, 45, 39, 19, 41, What do the red arrows show?
21 Children now need to count on and back in 3s from any multiple of 3. Encourage children to look for patterns as they count and use resources such as a number track, a counting stick and concrete representations. What do you notice about the numbers that are circled? Continue the pattern. Complete the number sequence. 15 What do you notice? Are the numbers getting larger or smaller? 9 6 Can you spot a pattern? 0 Sid has 15 stickers. He collects 3 more each day. Complete the number track to show how many he will hae in 6 days. 15
22 Year 2 Autumn Term Counting in 3s Reasoning and Problem Soling True or False I start at 0 and count in 3 s. I say the number 14. False. If I count in 3 s I go: 3, 6, 9, 12, 15 Sid is counting in 2s, Luke is counting in 3s. Sid Luke If Sid and Luke add their numbers together they will be counting in 5s. If Sid and Luke both count in 5s they will be counting in 10s. Sid says: If we add our numbers together as we count we can make a new What pattern do they make? What happens if both Sid and Luke count in 5s and they add them together to make a new pattern?
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