Count on/back in steps of 2s, 3s, 4s 5s, 6s, 7s,8s, 9s and 10s (through zero to include negative numbers).
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1 Maths Programme of Study Oral and mental skills. Detail Count on/back in steps of 2s, 3s, 4s 5s, 6s, 7s,8s, 9s and 10s (through zero to include negative numbers). Example Start on 24. Count back in 3s. (Varied daily practice; focus is chosen by the teacher). Recall the 2, 3, 4, 5 and 10 times tables and the derived division facts. Learn the 6, 7 and 9 times tables. Count on/back in 25s, 50s, 100s from 0 to 5000 and in 1000s from 0 to 10,000 and beyond. 6 x 7= 5 x 9= X6=54 9=12 Count back in 50s from Count on in 1000s from Find 10/100/1000 more or less than a given number beyond What is 10 less than 1457 / 100 more than 2389 / 1000 less than 6784? Read and write all numbers to at least 10,000 in both numerals and words. Write in figures the number: nine thousand four hundred and eighty-seven. Partition 4 digit numbers (thousands, hundreds, tens and ones) in different ways can be partitioned as: or Order a set of numbers to 10,000 and beyond in increasing and decreasing value. Put these numbers in order, largest first: ,013 Compare numbers up to 10,000 and beyond using =, <, > symbols. Are these inequalities true or false? 4580< >9413 Round numbers up to 10,000 to the nearest 10. Count in tenths, read and write numbers with 1 decimal place and compare numbers with one decimal place. What is 3968 to the nearest 10? Continue to count upwards in tenths from 3.7 Put these numbers in order, smallest first 6.9, 0.7, 3.5, 2.6 Add/subtract: 3-digit and 1-digit numbers, a 3-digit number and tens and a 3-digit number and hundreds, combinations of 2 and 3 digit numbers. Find complements to 100 and to 1000 and recall addition and subtraction facts for 100 and = 100, = 100, = 63, = 37, = 1000
2 Double any number up to 100; double any multiple of 50 up to 500 and halve any number up to 200 What is double 26/ double 150? What is half of 79? Number and place value Count in multiples of 6, 7, 9, 25 and Find 1000 more or less than a given number. Start on 54. Count on five 9s. Mary earns Her pay increases by How much does she earn now? Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones). 3846= (This is called partitioning.) Order and compare numbers beyond Put these numbers in order starting with the smallest Identify, represent and estimate numbers using different representations. Write these distances in words Solve number and practical problems that involve all of the above and with increasingly large positive numbers. Use these digits once each Make two 3-digit numbers which give: a)the largest possible total b)the smallest possible difference. Addition and subtraction Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate Estimate and use inverse operations to check answers to a calculation. Complete this addition pyramid Practise mental methods with increasingly large numbers =83-59=87 Multiplication and division Recall multiplication and division facts for multiplication tables up to x8= 55 5= X6=30 9=7
3 Recognise and use factor pairs and commutativity in mental calculations. The factor pairs of 8 are: 1x8, 2x4, so the factors of 8 are 1,2,4 and 8. Multiply two-digit and three-digit numbers by a onedigit number using formal written layout. 329 X To become fluent in the formal written method of short division with exact answers =28 Use mental methods to solve worded problems involving multiplying and division. How many straws are needed to make 7 triangles? Use place value, known and derived facts to multiply and divide mentally multiples of 10/ x 800= =600 Fractions (including decimals) Recognise and show, using diagrams, families of common equivalent fractions. Use the diagram to help complete the equivalent fraction. 4 = 5 10 Count using simple fractions, both forwards and backwards. Count up and down in hundredths; recognise that hundredths arise when dividing an object by a hundred and dividing tenths by ten. Count back 4 steps of 1 from Start at 73 and count back hundredths. Solve problems involving finding fractions of numbers and quantities. An orchard has 48 trees. Three eighths are in bud. How many trees are NOT in bud? Recognise and write decimal equivalents of any number of tenths or hundredths. Write in order, smallest first Measurement Read, write and convert time between analogue and digital 12- and 24-hour clocks. 8 mins past 11 at night= 11.08pm=23:08 Solve problems involving converting from hours to How many minutes are left in
4 minutes; minutes to seconds; years to months; weeks to days. the hour if the time is 13:42? How many hours are there in a week? Estimate, compare and calculate different measures. Hugo s CD lasts 69 minutes. He puts it on at 07:15. When will it finish? Convert between different units of measure [for example, kilometre to metre, hour to minute] 8.1kg= g? 5700m= km? Think of 3 things with a capacity of about 2000ml. Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres. Measure the rectangle to the nearest millimetre and work out its perimeter. Draw a square with a perimeter of 20cm. Find the area of rectilinear shapes by counting squares. On 1cm squared paper, draw three irregular shapes with a perimeter of 18cm. Work out the area of each. Geometry (shape and position and direction) Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes. Name a triangle with 2 equal sides. Draw a pentagon with 3 acute angles. What are the properties of a scalene triangle? Identify lines of symmetry in 2-D shapes presented in different orientations. How many line of symmetry does this shape have? Identify acute and obtuse angles and compare and order angles up to two right angles by size. Write each group of angles in order of size, smallest first. A C B D Describe positions on a 2-D grid as co-ordinates in the first quadrant. Use an 8 x 8 grid. Shade in the following squares. B2, B3, B4, C2, C3, C4, D4. What is the name of the shape? Is it symmetrical?
5 Statistics Interpret and present discrete data using appropriate graphical methods, including bar charts and pictograms. This table shows the flowers used to make a floral display. Draw a vertical bar chart labelled in tens to show the information. How many more white flowers than orange flowers are there? Colour No. of flowers Blue 70 Mauve 55 Orange 40 Red 30 White 100 Yellow 75
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More informationof surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433
Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property
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