# Maths

## Reception

##### Number and Place Value

• Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number

• Count, read and write numbers to 100 in numerals; count in multiples of 2s,5s and 10s

• Given a number, identify 1 more and 1 less

• Identify and represent numbers using objects and pictures including the number line, and use the language of: equal to, more than, less than(fewer), most, least

• Read and write numbers from 1-20 in numerals and words

• Read, write and understand mathematical statements involving addition (+), subtraction (-), and equals (=) signs

• To know number bonds (number pairs) to 10 and 20 and know the related subtraction facts within 20

• Add and subtract one-digit and 2-digit numbers to 20, including 0

• Solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = ? + 9

• Solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictures and arrays with the support of the teacher

##### Fractions

• Recognise, find and name a half as 1 of 2 equal parts of an object, shape or quantity

• Recognise, find and name a quarter as 1 of 4 equal parts of an object, shape or quantity

##### Measurement

• Compare, describe and solve practical problems for: -lengths and heights (for example, long/short, longer/shorter, tall/taller, double/half) -mass/weight (for example, heavy/light, heavier than/lighter than) -capacity and volume (for example, full/empty, more than, less than, half, half full, quarter) -time (for example, quicker, slower, earlier, later)

• Measure and begin to record the following: -lengths and heights -mass/weight -capacity and volume -time (hours, minutes, seconds) -recognise and know the value of different coins and notes in the money system -sequence events in chronological order using language (for example, before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening)

• Recognise and use language relating to dates, including days of the week, months and years

• Tell the time to the hour and half past the hour and draw the hands on a clock face to show these times

##### Geometry

• Recognise and name common 2-D and 3-D shapes, including: -2D shapes (for example, rectangles, squares, circles and triangles (recognising that a square can be made up of triangles etc) -3D shapes (for example, cuboids, cubes, pyramids and spheres -describe the position, direction and movement, include whole, half, quarter and three-quarter turns by moving objects and or the body

##### Number and Place Value

• Count in steps of 2,3 and 5 from 0, and in tens from any number forward and backward

• Recognise the place value of each digit in a two-digit numbers (tens,ones)

• Compare and order numbers from 0 up to 100 using less than (<) and greater than (>) and equals (=) signs

• Read and write numbers to at least 100 in numerals and words

• Use place value and number facts to solve problems

• Estimate numbers using different methods

• Remember and use addition and subtraction facts to 20 fluently, and use related facts up to 100 (eg. 17 + 3 = 20 , 67 + 3 = 70, 70 + 30 = 100)

• Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: 2 digit number and ones, 2 digit numbers and tens, two 2 digit numbers, adding three 1 digit numbers

• Show that addition of numbers can be done in any order and subtraction of one number from another cannot

• Use the opposite relationship between addition and subtraction and use this to check calculations and solve missing number problems (eg. 15 + 5 = 20 and therefore 20 – 15 = 5)

• Solve simple problems in a practical context involving addition and subtraction (eg. giving change from an amount)

• Remember and use multiplication and division facts for the 2, 5 and 10 multiplication tables

• To be able to recognise odd and even numbers

• To know that multiplication of 2 numbers can be done in any order and division of one number by another cannot

• Find the answer to one- step word problems for multiplication and division (within the multiplication tables) and write the answer using a number sentence

• Solve problems involving multiplication and division, using objects, arrays, repeated addition, number facts and mental methods

##### Fractions

• Pupils can count in fractions up to 10, starting from any number using ½ and ¼, 2/4 and ¾ of a length, shape, set of objects or number

• Pupils can write simple fractions e.g. ½ of 6=3 and recognise that ½ and 2/4 are equivalent fractions

##### Measurement

• Compare and order lengths, mass, volume/capacity and record the results using >, <, and =

• Compare a sequence intervals of time

• Choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature(˚c); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales and measuring jugs

• Recognise and use symbols for the money system and add amounts together

• Find different combinations of coins that equal the same amounts of money

• Solve simple problems using money, including giving change

• Tell and write the time including quarter past/to the hour and draw hands on a clock face to show these times.

• To know that there is 60 minutes in an hour, 30 minutes in half an hour and 24 hours in a day.

• To count up in 5s to show 5 past, 10 past and quarter past, 20 past, 25 past and half past

##### Geometry

• Identify and describe the properties of 2D shapes, including the number of sides and line symmetry using a vertical line

• Identify and describe the properties of 3D shapes, including the number of edges, vertices ad faces

• Identify 2D shapes on the surface of 3D shapes, for example, a circle on a cylinder and a triangle on a pyramid

• Compare and sort common 2D and 3D shapes and everyday objects

• Use mathematical language to describe position, direction and movement including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three quarter turns (clockwise and anti-clockwise)

• Order and arrange patterns and sequences

##### Statistics

• Interpret and construct simple pictograms, tally charts, block graphs and simple tables

• Ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity

##### Number and Place Value

• To count from 0 in multiples of 4,8, 50 and 100

• Find 10 or 100 more or less than a given number

• Compare and order number to 1000 • Read and write numbers up to 1000 in numerals and words

• Recognise the place value of each digit in a three-digit number (hundreds,tens, ones)

• To be able to round numbers to the nearest 10 and nearest 100

• To be able to solve number problems and missing box problems using the ideas above

• Add and subtract numbers mentally, including: a three digit number and ones, and three digit number and tens, a three digit number and hundreds

• Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction

• Estimate and use the opposite operation to check answers to a calculation

• Solve problems including missing number problems, using number facts, place value, and more complex addition and subtraction

• Recall and use multiplication and division facts for the 3,4 and 8 multiplication tables

• Write and calculate statements for multiplication tables that they know, including for 2 digit numbers times one digit numbers, using mental and progressing to formal written methods

• Write and work out statements for multiplication and division using the multiplication tables that they know, including 2 digit numbers times one digit numbers, using mental and formal written methods

• Solve problems including missing number problems involving multiplication and division

##### Fractions

• Pupils can count up and down in tenths

• Recognise and write fractions of a set of objects: unit fractions and non-unit fractions with small denominators

• Recognise that tenths arise from dividing an object into 10 equal parts and in diving one- digit numbers or quantities by 10

• Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators

##### Measurement

• Compare and order lengths, mass, volume/capacity and record the results using >, <, and =

• Compare a sequence intervals of time

• Choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature(˚c); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales and measuring jugs

• Recognise and use symbols for the money system and add amounts together

• Find different combinations of coins that equal the same amounts of money

• Solve simple problems using money, including giving change

• Tell and write the time including quarter past/to the hour and draw hands on a clock face to show these times.

• To know that there is 60 minutes in an hour, 30 minutes in half an hour and 24 hours in a day.

• To count up in 5s to show 5 past, 10 past and quarter past, 20 past, 25 past and half past

##### Geometry

• Identify and describe the properties of 2D shapes, including the number of sides and line symmetry using a vertical line

• Identify and describe the properties of 3D shapes, including the number of edges, vertices ad faces

• Identify 2D shapes on the surface of 3D shapes, for example, a circle on a cylinder and a triangle on a pyramid

• Compare and sort common 2D and 3D shapes and everyday objects

• Use mathematical language to describe position, direction and movement including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three quarter turns (clockwise and anti-clockwise)

• Order and arrange patterns and sequences

##### Statistics

•Interpret and construct simple pictograms, tally charts, block graphs and simple tables

• Ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity

• To know what a Venn Diagram is and sort multiples of 2,5 and 10 according to their properties

##### Number and Place Value

• Count backwards through 0 to negative numbers (eg. -1, -2, -3)

• Count in multiples of 6,7,9,25 and 1000

• Find 1000 more or less than a given number • Order and compare numbers beyond 1000

• Recognise the place value of each digit in a four-digit number (eg. thousands, hundreds, tens and ones)

• Round any number to the nearest 10,100 or 1000

• Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value

• Add and subtract numbers with up to 4 digits using the column method

• Estimate calculations and use the opposite operations to check answers

• Do problem solving that requires 2 step problems

• Know the times tables fluently to 12 times table

• Multiply by 0 and 1 , and divide by 1

• Multiply 3 numbers together (eg. 3 x 4 x 2)

• To know that multiplication can be done in any order but that division cannot (eg. 3 x 4 = 4 x 3 but 12 divided by 4 is not equal to 4 divided by 12)

• Multiply 2 and 3 digit numbers by one digit numbers eg. 26 x 3

• Estimate and use opposite operations to check an answer. (eg. Use multiplication to check division answers etc)n

##### Fractions

• Count up and down in hundredths

• Recognise that dividing something by 100 gives you one hundredth

• Recognise that dividing tenths by ten gives us hundredths

• Compare numbers which have 2 decimal places (eg. which is bigger 3.23 or 3.03)

• Round decimals with one decimal place to the nearest whole number

• Show in diagrams families of common equivalent fractions

• Write the decimal equivalents to tenths and hundredths

• Write decimal equivalents to ¼ , ½, ¾

##### Measurement

• Estimate, compare, calculate different measures, including money

• Measure and calculate perimeter of rectangles and squares using cm/m

• Find the area of rectangles and squares by counting squares

• To be able to recognise amounts in the money system (kwacha) up to K10,000

• To be able to solve 2-step problems using money

• To answer words problems using money (eg. With a given amount, someone buys 2 items from a shop, how much change will be given?)

##### Geometry

• Identify lines of symmetry in 2D shapes presented in different orientations

• Given half of a shape with a line of symmetry, complete the shape

• Compare and clarify quadrilaterals and triangles, based on their properties and sizes

• Identify, compare, and order acute and obtuse angles

##### Statistics

•Interpret/use bar charts and time graphs to present data

• To understand more complex Venn Diagrams

##### Number and Place Value

• Read, write and compare numbers to at least a (1 0, 000) and determine the value of each digit, knowing where to place the comma

• Count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000

• Round any number up to 10,000

• Read Roman numerals to 1000 (M) and recognise years written in Roman numeralse

• Add and subtract numbers mentally with increasingly large numbers

• Add and subtract whole numbers with more than 4 digits using the column method

• Use rounding to check answers to calculations

• Solve multi-step problems using addition/subtraction

• Multiply and divide numbers mentally drawing upon known number facts

• Multiply and divide whole numbers and decimals by 10, 100 and 1000

• Find factor pairs and common factor pairs for 2 numbers

• Know the terms prime and composite (non-prime) numbers

• Establish whether a number up to 100 is prime

• Recall prime numbers up to 19

• Recognise and use square and cube numbers

##### Fractions, decimals and percentages

• Recognise thousandths and relate them to tenths, hundredths, decimal equivalents

• Compare and order fractions whose denominators are all multiples of the same number •

Read, write, order and compare numbers with up to 3 decimal places

• Round decimals with 2 decimal places to the nearest whole number and to 1 decimal place

• Write a fraction that is represented visually including tenths and hundredths

• Read/write decimals as fractions e.g. 71% = 71/100

• Know that % means ‘number parts per 100’

• Write % as a fraction and decimal

• Add/subtract fractions with the same denominators and multiples of the same number

• Improper fractions: convert to whole numbers, add and subtract

• Multiply fractions (and mixed numbers) by whole numbers supported by diagrams

• Solve problems with numbers up to 3 decimal places

• Solve simple problems with % and decimal equivalents

##### Measurement

• Calculate area of squares and rectangles using correct notation

• Estimate area of irregular shapes

• Estimate volume using blocks and water

• Measure and calculate perimeter of composite shapes based on squares and rectangle

• Solve problems using measurement e.g length, mass, volume, money using decimals

• Convert between units: km-m, cm-m, cm-mm, g-kg, l-ml, hours-mins, mins-secs

• Solve problems using conversions

##### Geometry

• Reflect and translate shapes

• Identify 3D shapes from 2D representations

• Draw and measure angles using degree notation

• Compare and estimate acute, obtuse, reflex angles

• Identify 360,180,90, 45 degrees

• Use the properties of squares and rectangles to find missing lengths and angles

• Distinguish between regular and irregular polygonss

##### Statistics

•Interpret information and solve problems using tables, timetables and graphs

##### Number and Place Value

• Read, write and compare numbers to at least a (1 0, 000) and determine the value of each digit, knowing where to place the comma

• Count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000

• Round any number up to 10,000

• Perform mental calculations including mixed operations and large numbers

• Use simple BODMAS to order operations

• Use estimation to check answers

• Solve multi-step problems selecting appropriate methods

• Can use long multiplication e.g. 1234 x 23

• Can use long division

• Identify common factors, common multiples and primes

• Use simple BODMAS

• Solve problems using the 4 operations

##### Fractions, decimals and percentages

• Order fractions including greater than 1

• Identify the value of each digit : 0.123

• Simplify/cancel down fractions

• Use common multiples to express fractions in the same denomination

• Associate fractions with division and calculate decimal equivalents e.g 0.375 =3/8

• Recall and use equivalences between simple fractions, decimals and percentages

• Add and subtract fractions with different denominations and mixed numbers

• Multiply simple pairs of fractions e.g. ¼ x ½ = 1/8

• Multiply 0.36 x 5

• Divide proper fractions by whole numbers e.g. 1/3 divided by 2 = 1/6

• Multiply/divide by 10, 100, 1000 where answers are up to 3 decimals places

##### Measurement

• Calculate/estimate volume using correct notation, recognising when it is possible to use formulas

• Solve problems of length, mass, volume, time using conversion of units of measure ( up to 3 decimal places)

• Recognise that shapes with the same areas can have different perimeters

• Calculate the area of triangles and parallelograms

• Convert between miles and kilometres

##### Geometry

• Use nets to build 3D shapes

• Label parts of a circle : radius, diameter, circumference and know that D = 2pi r

• Use formulas for area and circumference of circle

• Draw 2D shapes using given dimensions and angles

• Find unknown angles in triangles, quadrilaterals, regular polygons (at times using knowledge of opposite angles, straight lines etc)

• Describe positions on a full coordinate grid

• Draw and translate simple shapes on the coordinate plane and reflect them in the axes

##### Statistics

• Construct and interpret pie charts and line graphs

• Calculate the mean, medium and mode

##### Algebra

• Express missing number problems algebraically

• Find pairs of numbers that satisfy number sentences involving two unknowns

• Use simple formulas

• Generate and describe linear number sequences

##### Ratio and proportion

• Solve problems involving the relative sizes of two quantities (finding missing values)

• Solve e.g 15% of 360 and use % for comparison

• Solve shape problems where the scale factor is known or can be found

• Solve problems involving unequal sharing