Paper 2: Reasoning Aural questions script 1 What is the next number after 25? Write your answer in the box. [Children write their answer in the box provided.] 2 Would you use metres, kilograms or litres to measure how heavy you are? Circle your answer. [Children circle their answer from the options provided.] metres kilograms litres 3 Luca counts in 10s starting at 10. Which number will he NOT say? Circle your answer. [Children circle their answer from the options provided.] 20 50 32 40 4 Ellie has 5 cat stickers and 4 dog stickers. Her friend gives her 2 horse stickers. How many stickers does Ellie have now? Write your answer in the box. 8 [Children write their answer in the box provided.] Ellie has stickers. 5 Draw the next two shapes in this pattern. [Children write their answer in the boxes provided.] M01_MEOY_TG_Y2_2335_M01.indd 8 29/03/2016 10:07 M01_MEOY_TG_Y2_2335_M01.indd 18 Recognise the place value of each digit in a 2-digit number. (Y2 Sp, Wks 6, 11) 1 1 3 30 1 Marks Award for ... 11 Answers Note: [...] indicates when National Curriculum objectives have been truncated. Recognise the place value of each digit in a two-digit number (tens, ones). (Y2) Represent and use number bonds and related subtraction facts within 20. (Y1 Sp, Wks 2, 12) Solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = – 9. (Y1) 3 Solve missing number problems and understand a symbol being used for an unknown. (Y1 Sp, Wks 2, 7, 12, 13, 17, 19, 20) Represent and use number bonds and related subtraction facts within 20. (Y1) 2 Bridge 10 when adding pairs of 1-digit numbers. (Y1 Su, Wks 19, 22, 29) Progression map outcomes Represent and use number bonds and related subtraction facts within 20. (Y1) National Curriculum objectives 1 Qu. Marking guidance 18 29/03/2016 10:07 © Pearson Education Ltd 2016 Use a bead string or base 10 equipment to show a 2-digit number, and help children to practise subtracting the tens or the ones. If children get this question wrong, they have probably not used place value to answer it, but have instead counted back. Some children may understand that 36 has 3 tens and 6 ones, but may not see 36 as 30 and 6, or see that when 6 is subtracted, 30 is left. Using a 20- or 100-bead string can help children to see how they can use the pairs to 10 to work out how many more are needed to make 20 or other multiples of 10. However, encourage children to learn the pairs to 20 by heart. Some children may add 17 and 20, giving an answer of 37. Watch out for children who know pairs to 10, but who are not using these to make pairs to 20. Adding objects, e.g. beads, can help children to count on the additional amount but using number facts helps to avoid counting on mistakes. If they do not know 8 + 3 = 11 by heart, help them to see how they could use the fact 8 + 2 = 10. If children do not know this fact by heart, they may include the first number in the counting on and so give an answer of 10 (counting on 3 as 8, 9, 10). Possible errors Advice Year 2 Paper 1: Arithmetic M01_MEOY_TG_Y2_2335_M01.indd 19 Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward. (Y2) • adding three one-digit numbers. (Y2) Year 2 Paper 1: Arithmetic 6 Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: 5 [...] Add and subtract onedigit and two-digit numbers to 20, including zero. (Y1) National Curriculum objectives 4 Qu. Count in steps of 2 and 5 from 0, and in tens from any number, forward and backward. (Y2 Au, Wks 1, 5, 10) Add and subtract mentally a 2-digit number and tens, including adding or subtracting 10 to and from any number up to 100 (positive answers only). (Y2 Au, Wks 5, 6, 7) 55 1 1 15 Add mentally three 1-digit numbers, using known number facts and doubles. (Y2 Su, Wks 9, 22, 26) Marks Award for ... 1 Answers Subtract 1-digit and 2-digit numbers 14 to 20, including using number facts to subtract 1-digit numbers from 2-digit numbers. (Y1 Su, Wks 9, 19) Progression map outcomes 19 29/03/2016 10:07 © Pearson Education Ltd 2016 Count on 10 in 1s on a 100-square and point out that the answer is directly under the first number. Repeat for the next row. Point out how the tens digit changes but not the ones. Count in 10s down the square, and emphasise that we are adding 10 each time. Another useful image is the image of base 10 equipment. Make the number 34 using three sticks of 10 and four ones. Add a stick of 10 and ask for the total. Repeat, pointing out how only the tens digit is changing. Some children may count on in ones rather than just increasing the tens digit by 1. Some children may change the ones digit rather than the tens digit. Make three sticks of 7, 5 and 3 cubes. Change the order and ask children to find the total each time to help them to see that the order does not matter; the total is still the same. Give children practice in spotting pairs to 10/ doubles amongst groups of single-digit numbers. Some children may have made a mistake counting on because they have not spotted the pair to 10 and then added on the 5 using place value. They may not remember that they can change the order of the addition and get the same answer. Help children to see how they can use known number facts to subtract single-digit numbers, e.g. if they know that 5 and 4 make 9, they can use 9 – 5 = 4 to work out 19 – 5, 29 – 5, … 99 – 5 on the bead bar. Point out the pair to 9 each time. If children haven’t used the number fact 9 – 5 = 4 to work this out, then they may have made an error when counting back, e.g. including the first number in the count (19, 18, 17, 16, 15), and so give an answer of 15 instead of 14. Possible errors Advice M01_MEOY_TG_Y2_2335_M01.indd 20 Use place value and number facts to solve problems. (Y2 Su, Wks 2, 12, 22, 30) Solve missing number problems involving the inverse relationship between addition and subtraction. (Y2 Sp, Wks 2, 3, 12, 13) Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems. (Y2) 20 31 32 Use number facts to solve related subtractions. (Y2 Au, Wks 2, 3, 9) Add mentally a 2-digit number and ones, including adding any 1-digit number to a 2-digit number using number facts or bridging 10. (Y2 Su, Wks 5, 11, 22, 23) Answers Progression map outcomes Use place value and number facts to solve problems. (Y2) [...] (Y2) • a two-digit number and ones Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: [...] (Y2) • a two-digit number and ones Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: National Curriculum objectives Year 2 Paper 1: Arithmetic 9 8 7 Qu. 1 1 1 Marks Award for ... 20 29/03/2016 10:07 © Pearson Education Ltd 2016 Help children to see that they can use the number fact 6 – 2 = 4 to work out the subtraction, or count back in 10s from 60 until they reach 40, keeping track of how many tens they have counted back. Encourage them to subtract the number they have written in the box to make sure that they reach the number after the equals sign, but also to use addition to check their answer. Some children may struggle with the empty box being in the second position in the number sentence. Model the bridging of a multiple of 10 on the bead bar, pointing out how 4 can be added to 26 to reach 30, and then another 1 needs to be added, to add 5 in total. Children may have answered 30 if they included the first number in their count rather than using number facts and place value to bridge 30. Use the bead bar to show 5 – 3, then 15 – 3, 25 – 3, … 95 – 3 all along the bar, pointing out the 5 – 3 beads each time. Watch out for children who do not use their knowledge of 5 – 3 = 2 to work out 35 – 3, but instead count back 3. Some children may include the first number in their count (counting 35, 34, 33), and so write 33 as the answer. Possible errors Advice M01_MEOY_TG_Y2_2335_M01.indd 21 [...] (Y2) • two two-digit numbers [...] Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: [...] (Y2) • a two-digit number and tens Year 2 Paper 1: Arithmetic 12 Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: 11 [...] Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers. (Y2) National Curriculum objectives 10 Qu. Add mentally two 2-digit numbers, using partitioning and number facts. (Y2 Su, Wks 6, 7, 11, 23, 29) 86 65 Add and subtract mentally a 2-digit number and tens, including adding or subtracting 10 to and from any number up to 100 (positive answers only). (Y2 Au, Wks 5, 6, 7) Add mentally two 2-digit numbers by counting on in 10s and 1s. (Y2 Sp, Wks 7, 9, 13, 20) 1 15 Recall and use multiplication and division facts for the 2, 5, and 10 times-tables. (Y2 Su, Wks 10, 17, 19, 29) 1 1 Marks Award for ... Answers Progression map outcomes 21 29/03/2016 10:07 © Pearson Education Ltd 2016 Help children to use towers of 10 cubes and loose cubes to support partitioning, matching to place value cards. Errors will depend on whether children choose to count on in 10s and 1s or use partitioning. They may make a mistake when counting on in 10s when adding 30 or not use number facts to add on 4. When partitioning, some children may add 5 and 3, instead of 50 and 30, or may misremember the necessary number facts. Use a 100-square to practise counting back in 10s, pointing out how only the tens digits change. Record subtractions to match the counting back, as some children don’t relate counting back in 10s to subtraction. Subtracting sticks of 10 from a number made from base 10 equipment can also help. Watch out for children who count back in ones rather than in tens. They are very likely to make a mistake if counting back 20 in 1s. Some children may change the ones digit rather than the tens digit. Ensure that children have sufficient practice in counting on in 5s. Point out that all numbers in the 5 times-table end in 0 or 5, pointing out the pattern on a 100-square and how the numbers look on a bead bar. If children have answered 8, it is likely that they have misread the × sign as an + sign. If children do not know the facts for the 5 times-table, they may have miscounted when counting on in 5s. Possible errors Advice M01_MEOY_TG_Y2_2335_M01.indd 28 Count in multiples of 10s from 10 to 100, and back again, recognising that the multiples end in 0. (Y1 Sp, Wks 15 and 16) 32 kilograms * Aural questions Note: [...] indicates when National Curriculum objectives have been truncated. Count, read and write numbers to 100 in numerals; count in multiples of twos, fives and tens. (Y1) 3* Choose and use appropriate standard units to estimate and measure [...] mass/weight (kg/g) […] using […] scales [...]. (Y2 Su, Wks 8, 24, 28 and 30) 1 Accept any clear way of marking 32. 1 Accept any clear way of marking kilograms. Given a number, identify one more and one less, any number up to 20. (Y1 Au, Wks 1, 3 and 5) Given a number, identify one more and one less. (Y1) Choose and use appropriate standard units to estimate and measure [...] mass (kg/g) […] to the nearest appropriate unit, using […] scales [...]. (Y2) 1 26 Recite the numbers in order counting to 100, forwards and backwards, beginning with 0 or 1, or from any given number. (Y1 Au, Wks 1 and 5) Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. (Y1) 1* 2* Marks Award for ... Answers Progression map outcomes Qu. National Curriculum objectives Marking guidance 28 29/03/2016 10:07 © Pearson Education Ltd 2016 Some children may need more practice counting in 10s with the visual aid of a 100-square, and looking at how these numbers are written. If children have answered this question wrongly, it is likely that they do not realise that multiples of 10 end in zero. Children may need more experience with different ways of measuring height, mass (weight), capacity and temperature in order to become familiar with their respective units of measure. Children may not remember which unit is used to measure mass (weight). Ensure children have lots of practice saying the number before and after numbers on a number line or track. Some children may have transposed the digits and written 62. Watch out for children who cannot say the next number (1 more) without using a number line or counting from 1. Learning to count on is important for developing addition skills, otherwise children will be over-reliant on counting all, i.e. counting the first set again, rather than counting on from the first set. Possible errors Advice Year 2 Paper 2: Reasoning M01_MEOY_TG_Y2_2335_M01.indd 29 Progression map outcomes Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward. (Y2) 6 Year 2 Paper 2: Reasoning * Aural questions Order and arrange combinations of mathematical objects in patterns and sequences. (Y2) and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = – 9. (Y1) 1 Both answers must be correct to be awarded the mark. Count in steps of 2 and 5 from 0, 57 and 27 and in tens from any number, forward and backward. (Y2 Au, Wks 5 and 10) 1 11 1 Both shapes must be drawn to be awarded the mark. Marks Award for ... Answers Order and arrange combinations of mathematical objects, including 2D and 3D shapes, in repeating patterns and sequences. (Y2 Sp, Wk 14) Solve 1-step problems that involve addition or subtraction using concrete objects and pictorial representations. (Y1 Su, Wks 7, 12, 22, 25 and 29) Add and subtract one-digit Add 1-digit and 2-digit numbers and two-digit numbers to to 20, including adding three small numbers using pairs to 10 20, including zero. (Y1) Solve one-step problems and doubles. (Y1 Su, Wks 22 and 29) that involve addition 5* 4* Qu. National Curriculum objectives 29 29/03/2016 10:07 © Pearson Education Ltd 2016 Encourage children to continue their counting back pattern after the number they entered to check their answer. Some children may need more practice counting back in 10s with the aid of a 100-square. Children may not have spotted the pattern of counting back in 10s. Some children may have spotted that the numbers go backwards, but have written 66 and 36, as they just counted back 1 from 67 and 37 rather than 10. Children may need to see a pattern repeated over a greater length, e.g. at least four repeats of the pattern, to be able to see the ‘rule’ for the pattern. Give children opportunities to copy, continue and then create their own patterns. Some children may have just drawn a circle as the next shape rather than a circle AND a triangle. Other children may have not been able to identify the repeating pattern. If, when asked to check their answer, children don’t self-correct as they miscounted, they may need more experience of number stories, seeing calculations in contexts. Children may have miscounted, or misunderstood the number story. Possible errors Advice
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