Compass International Madinat Khalifa School Doha. Mathematics Workshop Mrs O Keefe October 2014

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1 Compass International Madinat Khalifa School Doha Mathematics Workshop Mrs O Keefe October 2014

2 Big Maths Scheme to teach Number and Calculation Learn Its Big Maths Beat That

3 Learn Its Use the Turn Around rule to get the rest Reception Term = = 4 Term = = = 10 Term = = 5 Term 1 Term 2 Term 3 Year = = = = = = = = = = = = = = = = 18

4 Learn Its Term 1 Term 2 Term 3 Year = = = = = = = = = = = = = = = 15

5 Learn Its MULTIPLICATION FACTS Reception Year 1 Year 2 Year 3 Year 4 Counting in 10s, 5s and 2s Counting in 10s, 5s and 2s X10, X5, X2 X3, X4, X9 X6, X7, X8 Year 5 & 6 is reinforcement and consolidation

6 Helping your child with their Mathematics Learning in Early Years At home: Produce or buy a wall freeze showing numbers up to 20 in their bedroom. Display a How Tall are You? chart marking off their growth. Out and about: Point out numbers that you can see; ask your child to say that number and what comes before / after? Play car games such as counting coloured cars. Count steps as you walk; get your child to see how many steps it takes them to walk from the car to the front door, from one shop to another etc. Money: Let your child get used to counting out QR1 notes; play shops with them. Also get your child used to your own currency and, if possible British pounds and pence.

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8 Milepost 1: Number and Place Value Year 1 Number and place value count to 100, forwards and backwards read and write numbers to 100 in digits, *teen numbers read and write numbers from 1 to 20 in words. count in multiples of ones, twos, fives and tens identify one more and one less than a number Year 2 Number and place value count in steps of 3, and count in tens from any number, forward or backward recognise the place value of each digit in a two-digit number (tens, ones) * tens units say a number and ask how many of each compare and order numbers from 0 up to 100; use <, > and = signs read and write numbers to at least 100 in digits and in words

9 Milepost 1: Addition and Subtraction Year 1 Addition and subtraction read, write and interpret mathematical statements involving addition (+), subtraction (-) and equals (=) signs represent and use number bonds and related subtraction facts within 20 add and subtract to 20 solve simple one-step problems that involve addition and subtraction, using concrete objects and pictorial representations. Year 2 Addition and subtraction solve simple one-step problems with addition and subtraction recall and use addition and subtraction facts to 20 fluently (building on knowledge of numbers bonds to 10), and derive and use related facts up to 100 add and subtract numbers using concrete objects, pictorial representations, and mentally show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot

10 Milepost 1: Multiplication and Division Year 1Multiplication and division solve simple one-step problems involving multiplication and division, without using that terminology e.g. doubling, counting in 5s, halving Year 2 Multiplication and division recall and use multiplication and division facts for the 2, 5 and 10 multiplication table and use the correct symbols e.g multiplication ( ), division ( ) and equals (=) signs recognise and use the inverse relationship between multiplication and division in calculations

11 Milepost 1: Fractions Year 1 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 2 Fractions recognise, find, name and write fractions 1/3, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity write simple fractions e.g. 1/2 of 6 = 3 and recognise the equivalence of two quarters and one half.

12 Milepost 1: Measures Year 1 Measures Compare, describe and solve practical problems for: lengths and heights (e.g. long/short, longer/shorter, tall/short, double/half) mass or weight (e.g. heavy/light, heavier than, lighter than) capacity/volume (full/empty, more than, less than, quarter) time (quicker, slower, earlier, later) Sequence events in chronological order using language such as: before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening and recognise and use language relating to dates, including days of the week, weeks, months and years Year 2 Measures choose and use appropriate standard units to estimate and measure length/height (m/cm); mass (kg/g); temperature ( C); capacity (litres/ml) compare and order lengths, mass, volume/capacity and record the results using >, < and = read relevant scales to the nearest numbered unit compare and sequence intervals of time tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times.

13 Milepost 1: Geometry properties of shapes and position, direction and motion Year 1 Geometry: properties of shapes recognise and name common 2-D rectangles, squares, circles and triangles and 3-D shapes e.g. cuboids, cubes, pyramids and spheres. Year 2 Geometry: properties of shapes identify and describe the properties of 2-D and 3D shapes identify 2-D shapes on the surface of 3-D shapes, for example a circle on a cylinder and a triangle on a pyramid compare and sort common 2-D and 3-D shapes and everyday objects (this can be reinforced at home) Year 1 & 2 order and arrange objects in patterns use mathematical vocabulary to describe position, direction and movement, including clockwise and anticlockwise turns (y1) half, quarter and three-quarter turns (y2)

14 Milepost 1: Data Year 2 Data interpret and construct simple pictograms, tally charts, block diagrams and simple tables ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity ask and answer questions about totalling and compare data.

15 Milepost 1: Useful websites Choose Mathematics under subject option and Key Stage 1 under age group option. Woodlands Junior School Interactive 100 square

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17 Milepost 2: Number, Place Value and Rounding Year 3 Number, place value and rounding counting in multiples of 4, 8, 50 and 100; recognise the place value of each digit in a three-digit number (hundreds, tens, ones) comparing, ordering, reading and writing numbers up to 1000 Year 4 Number, place value and rounding counting in multiples of 6, 7, 9, 25 and 1000 negative numbers recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones) round any number to the nearest 10, 100 or 1000

18 Milepost 2: Addition and Subtraction Year 3 Addition and subtraction add and subtract numbers with up to three digits, using the efficient written methods of columnar addition and subtraction estimate the answer to a calculation and use inverse operations to check answers Year 4 Addition and subtraction add and subtract numbers with up to 4 digits using the efficient written methods of columnar addition and subtraction where appropriate solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why.

19 Milepost 2: Multiplication and Division Year 3 Multiplication and division multiplication and division facts for an increasing range of times tables Use mental and written methods to calculate two-digit numbers times one-digit numbers solve problems, including missing number problems, involving multiplication and division. Year 4 Multiplication and division recall multiplication and division facts for multiplication tables up to use place value, known and derived facts to multiply and divide mentally e.g. 7 x 3 = 21, 70 x 3 = 210 multiply two-digit and three-digit numbers by a one-digit number

20 Milepost 2: Fractions and Decimals Year 3 Fractions recognise and use fractions as numbers 12 and a half recognise equivalent fractions with small denominators e.g. 2/4 same as ½ add and subtract fractions with the same denominator within one whole (e.g. 5/7 + 1/7 = 6/7) Y4 Fractions identify, name and write equivalent fractions of a given fraction add and subtract fractions with the same denominator where the answer is larger than one. Decimals recognise and write decimal equivalents of any number of tenths or hundredths recognise and write decimal equivalents to 1/4; 1/2; 3/4 round decimals with one decimal place to the nearest whole number solve simple measure and money problems involving fractions and decimals to two decimal places.

21 Milepost 2: Measures Year 3 Measures measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) measure the perimeter of simple 2-D shapes add and subtract amounts of money to give change, using both and p in practical contexts tell and write the time from an analogue clock and 12-hour and 24-hour clocks know the number of seconds in a minute and the number of days in each month, year and leap year Y4 Measures convert between different units of measure (e.g. kilometre to metre; hour to minute) measure and calculate the perimeter and area of rectangles read, write and convert time between analogue and digital 12 and 24-hour clocks solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days.

22 Milepost 2: Geometry properties of shapes and position, direction and motion Year 3 Geometry: properties of shapes draw 2-D shapes and make 3-D shapes; identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn identify whether angles are greater than or less than a right angle Year 4 Geometry: properties of shapes compare and group geometric shapes, including quadrilaterals and triangles, based on their properties and sizes identify acute and obtuse angles identify lines of symmetry in 2-D shapes Geometry: position, direction, motion describe positions and plot points on a 2-D grid as coordinates in the first quadrant

23 Milepost 2: Data Year 3 and 4 Data interpret and present data using bar charts, pictograms and tables solve one-step and two-step questions such as How many more? and How many fewer? using information presented in scaled bar charts and pictograms and tables. Year 4 interpret and present data using bar charts and continuous data using line graphs

24 Milepost 2: Useful websites Choose Mathematics under subject option and Key Stage 2 under age group option. Woodlands Junior School A site full of games and practice activities of varying difficulty. Includes games for 2 or more players. Maths activities, tests and notes to support learning.

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26 Milepost 3: Number, Place Value, Approximation and Estimation Year 5 Number, place value, approximation and estimation read, write, order and compare numbers to at least one million and determine the value of each digit interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers through zero round any number up to to the nearest 10, 100, 1000, and Year 6 Number, place value and rounding read, write, order and compare numbers up to and determine the value of each digit round any whole number to a required degree of accuracy

27 Milepost 3: Addition and Subtraction Year 5 and 6Addition and subtraction add and subtract whole numbers with more than 4 digits, including using efficient written methods (column addition and subtraction) add and subtract numbers mentally with increasingly large numbers use rounding to check answers to calculations solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.

28 Milepost 3: Percentages, Fractions and Decimals Year 5 compare and order fractions whose denominators are all multiples of the same number recognise mixed numbers (3 1/5) and improper fractions (7/5) and convert from one form to the other add and subtract fractions with the same denominator multiply proper fractions recognise the per cent symbol (%) and understand that per cent relates to number of parts per hundred, and write percentages as a fraction with denominator hundred, and as a decimal fraction e.g. 50% ½ 0.5 solve problems using decimals, fractions and percentages Year 6 use common factors to simplify fractions compare and order fractions, use all four calculation operations with fractions. solve problems involving the calculation of percentages of whole numbers or measures such as 15% of 360

29 Milepost 3: Measures Year 5 Measures convert between different units of measure (e.g. kilometre and metre; metre and centimetre; centimetre and millimetre; kilogram and gram; litre and millilitre) and use addition and subtraction to solve problems involving measure calculate and compare the area of squares and rectangles including using standard units recognise and estimate volume (e.g. using 1 cm3 blocks to build cubes and cuboids) and capacity (e.g. using water) solve problems involving converting between units of time Year 6 Measures use, read, write and convert between standard units of measurement recognise that shapes with the same areas can have different perimeters and vice versa calculate the area of parallelograms and triangles calculate, estimate and compare volume of cubes and cuboids using standard units, e.g. centimetre cubed (cm3)

30 Milepost 3: Geometry properties of shapes and position, direction and motion Year 5 identify 3-D shapes, including cubes and cuboids, from 2-D representations know angles are measured in degrees; estimate and measure them and draw a given angle, writing its size in degrees identify, describe and represent the position of a shape following a reflection or translation and know that the shape has not changed. Year 6 recognise, describe and build simple 3-D shapes, including making nets compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons illustrate and name parts of circles, including radius, diameter and circumference describe positions on the full coordinate grid (all four quadrants) draw and translate simple shapes on the coordinate plane, and reflect them in the axes.

31 Milepost 3: Data Year 5 Data solve comparison, sum and difference problems using information presented in line graphs complete, read and interpret information in tables, including timetables. Y6 Data interpret and construct pie charts and line graphs and use these to solve problems calculate and interpret the mean as an average.

32 Milepost 3: Ratio, Proportion and Algebra Year 6 Ratio and proportion solve problems involving the relative sizes of two quantities, including similarity solve problems involving unequal sharing and grouping. Algebra express missing number problems algebraically use simple formulae expressed in words

33 Milepost 3: Useful websites Choose Mathematics under subject option and Key Stage 2 under age group option. Woodlands Junior School A site full of games and practice activities of varying difficulty. Includes games for 2 or more players. Maths activities, tests and notes to support learning.

34 Mathletics Play Mathletics Live as often as possible.