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* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Target I can position positive and negative numbers on a number line and find the difference between them. Examples of how the target may be assessed Use a counting stick, point to the parts of the counting stick and ask questions such as: If the central number is zero can you place -3 on the counting stick? What is the number at the far left if the number at the far right is 6? What happens to the number at the far left if I change the number at the far right to 5? To -5? To 0? What is the difference between these two temperatures? -7°C and 14°C 21°C and -11°C -13°Cand-2°C In the morning the temperature was -5°C and in the afternoon it was 5°C. Describe the change in temperature. Answers/Tips -3 0 -4 -5, -15,-10 21° C 32° C 11° C The temperature rose by 10° C Target I can count on from any given number in whole-number steps, extending beyond zero when counting backwards. Examples of how the target may be assessed Answers/Tips What are the missing numbers in these sequences? _, _, -2, 1, 4 -8,-5,-2,1,4 7, _, -3, _, _ 7,2,-3,-8,-13 _, 30, 10, _, _ How do you know? 50,30,10,-10,-30 Work out the missing numbers by looking at the difference between adjacent numbers Continue the count: 9, 5, 1, -3, …. 9,5,1,-3,-7,-11….. -8, -5, -2, …. -8,-5,-2,1,4,7…. A sequence starts 520, 440, 360…. What are the first two negative numbers in this sequence? 520,440,360,280,200,120,40, -40, -120 If I count back in steps of four from 12 would -4 be in the count? Yes 12,8,4,0,-4 Target I can read, write partition and order decimal numbers. Examples of how the target may be assessed Answers/Tips Tell me a number that lies between 5.2 and 5.3. Tell me a decimal fraction that lies between 4.17 and 4.18. e.g. 5.21 or 5.25 etc What does the 4 mean in each of these numbers? 3.4, 4.5, 0.34, 3.654 3.4 4 tenths 4.5 4 units 0.34 4 hundredths 3.654 4 thousdandths Write the decimal fraction equivalent to three tenths and two thousandths. 0.302 Put the following in order from largest to smallest: 5.25, 15.3, 5.78, 5.87, 5.2 15.3, 5.87, 5.78, 5.25, 5.2 1.5, 1.375, 1.4, 1.3, 1.35, 1.425 1.5, 1.425, 1.4, 1.375, 1.35, 1.3 Place these decimals on a number line from 6.9 to 7.1: 6.93, 6.91, 6.99, 7.01, 7.06 Draw a numberline with 10 divisions labeled from 6.9 to 7.1 e.g 6.91, 6.92, 6.93 …… 7.0,7.1 e.g. 4.174 or 4.178 etc Target I can express tenths and hundredths as percentages. Examples of how the target may be assessed What is thirty out of one hundred as a percentage? Answers/Tips 30% What is seven tenths as a percentage? 70% What percentage of this bar is shaded? 60% Here is a grid of squares, shade 10%. Target I can find simple equivalent fractions. Examples of how the target may be assessed Circle the two fractions that have the same value 2/5, 1/3, ½, ¼, 5/10 Match each fraction to a fraction with the same value: ¾ 4/8 ½ 8/10 4/5 6/8 2/5 Answers/Tips ½ and 5/10 ¾ is the same as 6/8 ½ is the same as 4/8 4/5 is the same as 8/10 Target I can relate simple fractions to their decimal equivalents. Examples of how the target may be assessed Answers/Tips What is 4/10 as a decimal number? 0.4 What fraction is equivalent to 0.5? ½ Which of the following fractions is equivalent to 0.3? 1/3, 1/30, 3/10, 3/100, 3/1000 What is ¾ as a decimal? What is 0.23 as a fraction? 3/10 0.75 23/100 Which number represents the shaded part of the large rectangle? 0.2 0.02, 0.2, 0.8, 2.8, 8.2 Target I can use my tables to multiply and divide. Examples of how the target may be assessed Answers/Tips 5-second mental questions : What is 7 multiplied by 8? Divide 48 by 6 Multiply 8 by 6 Divide 64 by 8 What is the product of 6 and 9? Divide 150 by 5 How many 4s are there in 120 56 8 48 8 54 30 30 10-second mental questions : What is 25 times by5? What is 3 multiplied by 5 multiplied by 2? How many 50s are there in 1000? 125 30 20 15-second mental questions : What is 300 divided by 15? What is 0.7 times by 5? 20 3.5 Target I can use my tables to work out multiplication and division facts with decimals. Examples of how the target may be assessed Answers/Tips What is half of 6.3? 3.15 ( it might help to put a zero in the hundredths column 6.30) What is 25.5 x 2? Multiply 7 by 0.6 Divide 4.2 by 6 What is 4 x 0.7? 0.15 ÷ 2= 51 4.2 0.7 2.8 0.075 What number multiplied by 8 equals 4.8? 0.6 What multiplication and division facts do you know, or can you derive, with an answer of 5.6? 0.7 x 8 = 5.6 0.8 x 7 = 5.6 11.2 ÷ 2 = 5.6 22.4 ÷ 4 = 5.6 What could the missing numbers be ? _ x_ = 3.2 1 x 3.2 = 3.2 2 x 1.6 = 3.2 Solve 3.2 ÷_ = 0.4 3.2 ÷ 8 = 0.4 Target I can multiply and divide by 10 and 100 and 1000. Examples of how the target may be assessed Answers/Tips 5-second mental questions : Divide 420 by 10 What is 54 multiplied by 10? Divide 31 by 10 What is 5.4 multiplied by 1000? What is 3 divided by 10? 42 540 3.1 5400 0.3 10-second mental questions : 10 times a number is 36; What is the number? How many millilitres are there in 2.5 litres? 3.6 x 10 = 36 2500ml 15-second mental questions : Multiply 45 by 40 1800 ( x4 by doubling and doubling again, then x 10) What is 5000 divided by 20? 250 (÷ 2 by halving, then ÷ 10) Target I can add and subtract two numbers in my head quickly. Examples of how the target may be assessed Answers/Tips 5-second mental questions : What must be added to 74 to make 100? What is 60 more than 23? Add 45 and 51 Subtract 42 from 100 Subtract 12 from 90 What is 100 subtract 21? 26 83 96 58 78 79 10-second mental questions : If Max has 19p and Dan has 29p, how much do they have altogether? 48p ( add 20p and 30p then take away 2p) How many less than 62 is 28? 34 There are 66 children in year 6. If 37 are girls, how many are boys? 29 boys 15-second mental question : Add together 18, 24 and 82 124 Target I can use a written method to subtract. Examples of how the target may be assessed Answers/Tips Calculate 905-624 Calculate 1013-26 Calculate 2003-279 Calculate 12.4-3.6 281 987 1724 8.8 The Smith family has saved £675 towards their summer holiday. The cost of the holiday is £2019. How much more do they need to save? £1344 At the beginning of a cricket match there were 742 people watching. At teatime 218 people went home. How many were left? 524 Target I can use a written method to multiply. Examples of how the target may be assessed Answers/Tips 72x38 2736 (Multiply by 40 and then take away 2x72) Calculate 349x6 2094 (350x6 then take away 6) 417x20 8340 (Double and multiply by 10) There is space in the car park for 17 rows of 32 cars. How many cars can park? 544 How many hours are there in one year? 365x24=8760 Target I can calculate a fraction of a number or quantity. Examples of how the target may be assessed Answers/Tips What is three tenths of 50? 15 (to find 1/10 divide by 10 and then multiply by 3) What fraction of one litre is 750ml? ¾ (1000ml in a litre) What is three quarters of £500? £375 (To find a quarter, half and half again then multiply by 3) Use a calculator to calculate ¾ of 18. 13.5 A full bottle of squash contains 750 millilitres. We drink two thirds of the squash. How many millilitres are left? 500 What is 5/6 of 30 kg? 25 One fifth of _ is 10 50 Target I can calculate simple percentages of whole numbers or quantities. Examples of how the target may be assessed Answers/Tips Find 10% of £40 £4 What is 25% of 50? 12.5 What is 99% of 200? 198 Use a calculator to find 20% of £362 £72.4 Find 75% of 200ml. How did you do this? 150ml There is 50% off all prices in a sale. An MP3 player costs £45 in the sale. How much was it before the sale? £90 Target Examples of how the target may be assessed Answers/Tips I can interpret the numbers on a calculator display (including money, measurement and rounding up/down). Nicola has £50. She buys 3 CDs at £12.75 each and a DVD at £9.65. How much money does she have left? £2.10 Nasreen made some fruit punch. She poured 1.5 litres of orange juice, 1350ml of pineapple juice and 780ml of mango juice into a large bowl how much fruit punch did she make? 3630ml or 3litres 630ml Convert all the amounts into ml then add them together. A Full box 180 pins how many boxes can be filled from 100,000 pins? 556 boxes. The answer on a calculator will be 555.55recurring as all the pins need to go in a box you need to round up to 556 A rope is 12 metres long. How many lengths of 85cm can I cut from it? 14 Turn the metres into cm therefore 12m =1200cm A bus holds 52 people. How many buses are needed for 327 people? 6.288 so therefore you need 7 buses. Target Examples of how the target may be assessed Answers/Tips I can use a calculator to solve problems with more than one step. Tom buys some trainers for £24.99 and a new CD £10.75. He pays with £50 note. How much change does he receive? £14.26 I have read 134 pages of the 512 pages of my book. How many more pages must I read to reach the middle? 512 ÷ 2=256 256-134=122 I think of a number, subtract 17, and divide by 6. The answer is 20. What was my number? 20x6+17=137 (Do the inverse) There is space in a multistorey car park for 17 rows of 30 cars on each of four floors. How many cars can park? 17x30x4=2040