Refer to the National Curriculum document for more in depth examples. Remember the power of using models and images to enhance children’s learning. Teachers should strive to use and apply mathematics across all areas of learning. We should develop an appreciation of the beauty and power of mathematics and a sense of enjoyment and curiosity about the subject. Use Numicon regularly and consistently to support the assessment, teaching and learning of tricky concepts. Overview Maths 2015 - 16 The cross curricular use of maths should be planned for and recorded in each half term planning jigsaw. Take lots of maths photos to include on the school website. Number – Number and place value Count to and across 100, forwards and backwards from any number. Number – Addition and subtraction Count read and write numbers to 100, count in 2’s 5’s and 10’s. To read, write and interpret mathematical statements using + =signs. Identify 1 more and 1 less Use number bonds and related subtraction facts within 20. Add and subtract 1 and 2 digits numbers to 20. Solve one step problems such as 7 = ? -9 Number – Multiplication and division Solve one step problems involving multiplication and division, by calculating the answer by using concrete objects, pictorial representations and arrays with teacher support. Read and write numbers from 1 – 20 in numerals and words. Number – fractions Recognise find and name a half as one of two equal parts of an object shape or quantity. Recognise find and name a quarter as one of four equal parts of an object shape or quantity. Year 1 Overview Maths 2015 - 16 Measurement Compare, describe and solve practical problems for; Lengths and heights, Mass, weight, volume, Time Know the value of different denominations of coins and notes. Sequence time chronologically, use language about days of week, days, tell the time to the hour and half past. Geometry – properties of shape Recognise and name, 2D shapes – rectangles, circles, squares, triangles. Geometry – position and direction Describe position direction and movement including whole, half three quarter turns. 3D shapes – cuboids, cubes pyramids, spheres. Number – Number and place value Count in steps of 2, 3, 5 from 0 and in 10’s from any number forwards and backwards. Year 2 Overview Maths 2015 - 16 Recognise place value of each digit in 2 digit number. Number – Addition and subtraction Solve problems using addition and subtraction. Usase addition and subtraction facts to 20 and find related facts to 100. Add and subtract, 2 digit numbers and 1’s, 2 digit and 10’s, 2 2 digit numbers, 3 1 digit numbers. Show communtative additrion and inverse relationships. Estimate numbers using pictorial representations including number lines. Compare numbers from 0 to 100 using less than, more than and = signs. Choose and use appropriate units to estimate and measure length, height, Mass, temperature, capacity, time. Use pv and number facts to solve problems. Compare and order measurements using less than more than = signs. Number – fractions Recognise, find, write and name fractions third, quarter three quarters, 2 quarters of a shape or quantity. Number – Write simple fractions eg ½ of 6 =3. Multiplication and division Recognise that 2/4 = ½. Write mathematical statements using correct signs. Solve problems using arrays, repeated addition and subtraction etc. Recognise symbols £, p Compare and sequence intervals of time. Tell the time to 5 minutes know minutes in hour, hours in day. Geometry – properties of shape Describe properties of 2D and 3D shapes, number of sides, edges, vertices, lines of symmetry. Recall and use facts for 2, 5 10. Recognise odd and even numbers. Learn commutative multiplication. Measurement Geometry – position and direction Order and arrange mathematical objects in patterns and sequences. Use mathematical vocabulary to describe position direction and movement, straight line, rotation, turn at right angles, clockwise, anti clockwise. Identify shapes on 3D shapes eg square on cube. Sort common 2D and 3D shapes. Number – Number and place value Year 3 Overview Maths 2015 - 16 Count in multiples of 4,8,50 and 100. Find 10 or 100 more or less than a number. Number – Addition and subtraction Add subtract numbers mentally such as 3 digit number and 1’s, 10’s 100’s. Add subtract numbers up to 3 digits using formal written methods of columns. Estimate answer and use inverse operations to check. Solve problems including missing number problems. Know the pv of each digit up to 3 digits. Compare, order numbers up to 100. Represent and estimate numbers in different ways. Solve number problems. Number – fractions Count up and down in tenths Divide 1 digit numbers into 10ths. Recognise and use fractions as numbers. Measurement Measure compare add subtract lengths m/cm/ mm, mass volume capacity. Measure perimeter of simple 2D shapes. Add subtract amounts of money to give change in practical contexts., Tell time from analogue clock using Roman numerals from 1 – XII and 12 hour 24 hour clocks. Estimate and read time to the nearest minute. Know number seconds in minute days in months and compare time durations. Use diagrams to show equivalent fractions with small denominators. Number – Multiplication and division Add and subtract, compare and order fractions with the same denominator. Recall multiplication and division facts for 3, 4 and 8 times tables. Solve problems that involve fractions. Calculate multiplication of 2 digit by 1 digit using known facts progressing to more formal methods. Solve problems including missing number problems including scaling. Statistics Interpret and present data using bar charts, pictograms and tables. Solve 1 and 2 step questions like ‘How many more…?’using bar charts pictograms and tables. Geometry – properties of shape Draw 2 d shapes, make 3 D shapes – recognise in different orientation. Recognise angles as a property of shape or a description of turn. Identify right angles - 2 right angles make a half turn, etc Identify angles less or more than RA Identify horizontal, vertical lines pairs of perpendicular and parallel line. Number – Number and place value Count in multiples of 6,7,9,25,1000 and count backwards through 0 to negative numbers. Year 4 Overview Maths 2015 - 16 Find 1000 more or less Number – Addition and subtraction Add and subtract numbers with up to 4 digits using formal written methods (column). Estimate and use inverse to check Solve 2 step problems in contexts deciding on appropriate operation and why. Number – Multiplication and division Know pv of digit in 4 digit numbers and order and compare numbers beyond 1000 Round any number to nearest 10, 100, 1000 Solve problems Read Roman numerals to 100. Number – fractions Recognise equivalent fractions Measure and calculate perimeter of rectangles and squares in cm and m Find area of rectilinear shapes by counting squares. Estimate, compare and calculate different measures. Convert time 12 and 24 hour clocks Solve problems involving increasingly harder fractions of quantities including whole number answers. Solve problems converting hours/mins min/secs Add and subtract fractions with same denominator Yrs/mnths weeks/days Recognise decimal equivalence of 1/10s and 1/100s, ¼,1/2, ¾ Divide 1 and 2 digits by 10 and 100 Round 1dp to the nearest whole number. Use known facts to x and divide mentally (including by 0 and 1) Solve simple measure and money problems. Geometry – properties of shape Compare classify goemetric shapes based on properties and sizes. Identify acute and obtuse angles, compare order angles up to 2 angles by size. Recognise factor pairs and communtativity. Solve problems using multiplying and adding using distributive law, integer scaling – (see guidance) Convert between units of measure km to m hour to minute. Count up and down in 1/100’s Recall times tables facts up to 12 x 12. Multiple 2 and 3 digit by 1 digit using formal written layout. Measurement Identify lines of symmetry in 2 D shapes presented in different orientations. Geometry – position and direction Describe positions using coordinates in first quadrant. Describe translations left right up down. Plot points and draw sides to complete given polygon. Complete a simple symmetrical shape with a simple line of symmetry. Number – Number and place value Year 5 Overview Maths 2015 - 16 Read write order compare numbers to 1,000,000 know value of digits. Number – Addition and subtraction Add and subtract whole numbers more than 4 digits using column method. Add and subtract mentally using bigger numbers. Use round to check answers and levels of accuracy. Solve multi step problems. Count forwards, backwards in powers of 10 for any number up to 1,000,000 Interpret negative number, count forwards, backwards through 0 Round numbers to 1,000,000 to nearest 10, 100, 1000, 10000, 100,000 Solve number problems Read roman numerals to 1,000 Number – Multiplication and division cont… Recognise, use square and cube numbers. Number – Solve problems involving the 4 operations – know what the equals sign means. Identify multiples, factors, pairs of factors, common factors. Solve problems involving scaling Know prime numbers and composite numbers, recall prime numbers up to 19. Divide 4 digits by I digit using formal written methods. Multiply divide by 10, 100, 1000 cont… Compare, order fractions whose denominator are multiples of same number. Name and write equivalent fractions, represented visually including 10th 100ths Convert mixed numbers and improper fractions. Add subtract fractions with the same denominator. Solve problems involving factors/multiples/ squares/cubes Multiplication and division Multiply 4 digits by 1 or 2 digits. Number – fractions. Number – fractions cont Read write order numbers up to 3dp. Solve problems involving number up to 3dp Understand % - write %’s as a fraction with denominator 100 and as a decimal Number – fractions cont. Multiply proper and improper fractions by whole numbers. Read and write decimals as fractions Relate 1000ths to to 10ths, 100ths and decimals Round decimals with 2 dp to nearest whole number and and 1dp. Solve problems which require decimal equivalents see guidance. Measurement Convert between measures eg kg/g km/m/cm/mm etc Year 5 Overview Maths 2015 - 16 Know approximate equivalents between imperial and metric measures Statistics Solve comparison, sum and difference problems using information presented in a line graph. Complete read and interpret information tables including timetables. Measure, calculate perimeter of composite rectilinear shapes Cont…. Measurement Calculate area of rectangles. Estimate area of rectilinear shapes. Estimate volume and capacity. Geometry – Solve problems converting between units of time. properties of shape cont… Use all 4 operations in cluding decimal notation and scaling. See guidance. Identify angles at a point and one whole turn 36o degrees. Angles at a point on a straigth line total 180 Other multiples of 90 Ensure the use of Numicon is continued to support children who are not on track to attain a L4 by the end of Y6 Use properties of rectangles to deduce missing lengths and angles. Geometry – properties of shape Distinguish between regular and irregular polygons. Identify 3D shapes from 2 D representations Geometry – position and direction Identify and describe properties of a shape after translation and reflection. Use appropriate language. Estimate, compare acute, obtuse reflex angles in degrees. Draw and measure angles Number – Number and place value Read write and order numbers up to 10,000,000 and know the value of each digit. Number – Addition and subtraction multiplication division. Multiply 4 digit numbers by 2 digit using formal method of multiplication – see app Round any whole number to a required degree of accuracy. Use negative numbers in context and calculate intervals across 0 Solve problems in the above. Divide 4 digit by 2 digit using formal long division Number – Interpret remainders as fractions and whole numbers or rounding…. fractions decimals, percentages. Use common factors to simplify fractions and express fractions with the same denominator. Year 6 Overview Maths 2015 - 16 Fractions decimals percentages Divide proper fractions by whole numbers. Associate a fraction with a division and calculate decimal fraction equivalents eg 1/8 = 0.125. Identify value of each digit to 3dp and x and divide numbers by 10, 100, 1000 to 3dp. Compare order fractions including > 1 Number – Addition and subtraction multiplication division cont Add and subtract fractions with different denominators. Multiply pairs of proper fractions writing answer in simplest form. Cont… Geometry – properties of shape Perform mental calculations with mixed operations and large numbers. Draw 2D shapes given dimensions and angles Identify common factors, multiples and prime numbers Recognise and build 3D shapes including nets Carry out calculations involving 4 operations Solve addition, subtraction multi step problems. Geometry – properties of shape Illustrate and name parts of circles, radius, circumference diameter and know diameter is twice radius. Recognise angles where they meet at a point are on a straight line or are vertically opposite and find missing angles. Compare, classify geometric shapes and find missing angles in triangles, quadrilaterals regular polygons.Cont… Ratio and proportion Solve problems involving the relative sizes of 2 quantities, where missing values can be found by using multiplication and division facts. Year 6 Overview Maths 2015 - 16 Calculate percentages eg 15% of 360 Algebra Use simple formulae Generate and describe linear number sequences Solve problems involving scaling up and down. Measurement Solve problems involving unequal sharing and grouping. Solve problems by converting units of measure using decimal notation up to 3dp. Express missing number problems algebraically. Find pairs of numbers that satisfy an equation. Enumerate the possibilities of combinations of 2 variables. Use read and write and convert between standard units of length, Mass, volume and time. Statistics Interpret and construct pie charts and line graphs and use these to solve problems. Calculate and interpret the mean as the average. Go back to notes and guidance in NC for numeracy for detailed examples of standard and level. Convert between miles and km.cont… Measurement Recognise that shapes with the same areas can have different perimeters. Use formulae for areas and volumes Calculate area of parallelograms and triangles Geometry – position and direction Describe positions on the full co-ordinate grid. Draw and translate simple shapes on the co0rdinate plane and reflect them in the axes. Calculate estimate volumes of cubes, cuboids, using standard units.
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