Chapter library

Chapter 1: Tens Hill

• Can find the tens, hundreds or thousands either side of a number, like 70 and 80 for 74
• Can round numbers to the nearest 10

Chapter 2: The Decider

• Can round numbers to the nearest 10
• Can find the deciding digit and use it to choose whether to round up or down

Chapter 3: Hundred Hills

• Can round numbers to the nearest 100
• Can find the deciding digit and use it to choose whether to round up or down

Chapter 4: Thousand Peaks

• Can round numbers to the nearest 1,000
• Can find the deciding digit and use it to choose whether to round up or down

Chapter 5: Decimal Dunes

• Can round decimals with one decimal place to the nearest whole number

Chapter 1: Subitising 1, 2 and 3: seeing how many without counting

• Can say how many there are in a group of 1, 2 or 3 just by looking, then count to check

Reception maths Reception maths

Chapter 2: Dot patterns and dice: subitising up to 5

• Can recognise dice and dot patterns for 1 to 5 without counting

Reception maths Reception maths

Chapter 3: Finger patterns: subitising fingers up to 5

• Can show 1 to 5 on their fingers and say how many fingers just by looking

Reception maths Reception maths

Chapter 4: Tens frames: subitising up to 5 counters

• Can say how many counters, up to 5, are on a tens frame without counting

Reception maths

Chapter 5: Small groups inside 4 and 5: subitise, then count to check

• Can spot small groups inside 4 and 5 to say how many altogether

Reception maths Reception maths

Chapter 1: 2D shapes: counting sides and vertices

• Can count the sides and vertices of 2D shapes and use them to name triangles, quadrilaterals, pentagons, hexagons and octagons

Year 2 maths

Chapter 2: Vertical lines of symmetry in 2D shapes

• Can spot a vertical line of symmetry in 2D shapes by checking that both halves match

Year 2 maths

Chapter 3: 3D shapes: faces, edges and vertices

• Can count the faces, edges and vertices of cubes, cuboids, pyramids and prisms

Year 2 maths

Chapter 4: Faces, edges and vertices of cylinders, cones and spheres

• Can describe the flat faces, curved surfaces, edges and vertices of cylinders, cones and spheres, and say which shapes roll

Year 2 maths

Chapter 5: Finding 2D shapes on the surface of 3D shapes

• Can find 2D shapes on the surface of 3D shapes, like a circle on a cylinder and a triangle on a pyramid

Year 2 maths

Chapter 6: Comparing and sorting shapes and everyday objects

• Can compare and sort 2D shapes, 3D shapes and everyday objects by their properties

Year 2 maths

Chapter 1: Naming 2D shapes: circles, triangles, rectangles and squares

• Can recognise and name circles, triangles, rectangles and squares, and knows a square is a special kind of rectangle

Year 1 maths

Chapter 2: Spotting 2D shapes in any size or turn, and what is not a triangle

• Can spot circles, triangles, rectangles and squares whatever their size or which way they are turned, and can say why a shape is not a triangle

Year 1 maths

Chapter 3: Naming 3D shapes: cubes, cuboids, pyramids, spheres, cylinders and cones

• Can recognise and name cubes, cuboids, pyramids, spheres, cylinders and cones, and knows a cube is a special kind of cuboid

Year 1 maths

Chapter 4: 3D shapes turned round, rolling and stacking, and in everyday objects

• Can name 3D shapes when they are turned round, find them in everyday objects like tins and boxes, and say which shapes roll and which stack

Year 1 maths

Chapter 5: Telling flat 2D shapes from solid 3D shapes all around us

• Can recognise and name circles, triangles, rectangles and squares, and knows a square is a special kind of rectangle
• Can recognise and name cubes, cuboids, pyramids, spheres, cylinders and cones, and knows a cube is a special kind of cuboid
• Can tell flat 2D shapes from solid 3D shapes, and match a flat shape to the solid shape it is like, such as a circle and a sphere

Year 1 maths

Chapter 1: Acute and obtuse angles: smaller or bigger than a right angle

• Can spot acute angles, which are smaller than a right angle, in shapes and everyday things
• Can spot obtuse angles, which are bigger than a right angle but smaller than a straight line, in shapes and everyday things

Year 4 maths

Chapter 2: Finding acute and obtuse angles in shapes and everyday things

• Can spot acute angles, which are smaller than a right angle, in shapes and everyday things
• Can spot obtuse angles, which are bigger than a right angle but smaller than a straight line, in shapes and everyday things

Year 4 maths

Chapter 3: Comparing angles: which angle is bigger?

• Can compare two angles and say which is bigger, even when the arms are different lengths

Year 4 maths

Chapter 4: Ordering angles by size, up to two right angles

• Can put angles in order of size, from smallest to largest and back again, up to two right angles (a straight line)

Year 4 maths

Chapter 1: Angles as a turn

• Can explain that an angle is an amount of turn

Year 3 maths

Chapter 2: Angles in shapes: corners where sides meet

• Can find the angles in 2-D shapes

Year 3 maths

Chapter 3: Right angles: finding square corners

• Can spot right angles, the square corners, in shapes and objects

Year 3 maths

Chapter 4: Right angles make half, three-quarter and whole turns

• Can explain how right angles make half, three-quarter and whole turns

Year 3 maths

Chapter 5: Bigger or smaller than a right angle?

• Can tell if an angle is bigger or smaller than a right angle

Year 3 maths

Chapter 1: Area: counting the squares inside a shape

• Can find the area of rectilinear shapes by counting squares, and compare which shape has the bigger area

Year 4 maths

Chapter 2: Area of rectilinear shapes: count, compare and make

• Can find the area of rectilinear shapes by counting squares, and compare which shape has the bigger area

Year 4 maths

Chapter 3: Perimeter: the distance around a shape on a grid

• Can find the perimeter of a shape on a grid by counting the edges all the way around it

Year 4 maths

Chapter 4: Perimeter of rectangles and squares: measure and add in cm and m

• Can measure the sides of rectangles and squares in centimetres, and add every side to find the perimeter in centimetres or metres

Year 4 maths

Chapter 5: Perimeter of rectilinear shapes: find missing sides in cm and m

• Can work out missing sides of rectilinear shapes, then add every side to find the perimeter in centimetres or metres

Year 4 maths

Chapter 6: Area or perimeter? Choosing and finding both

• Can choose whether a job needs area or perimeter, and find both for the same shape
• Can find the area of rectilinear shapes by counting squares, and compare which shape has the bigger area
• Can find the perimeter of a shape on a grid by counting the edges all the way around it

Year 4 maths Year 4 maths

Chapter 1: Kilometres and metres: 1 km = 1,000 m

• Can convert between kilometres and metres both ways, including decimals such as 2.5 km = 2,500 m

Year 5 maths

Chapter 2: Metres, centimetres and millimetres: 1 m = 100 cm, 1 cm = 10 mm

• Can convert between metres, centimetres and millimetres, knowing 1 m = 100 cm, 1 cm = 10 mm and 1 m = 1,000 mm

Year 5 maths

Chapter 3: Grams and kilograms: 1 kg = 1,000 g

• Can convert between grams and kilograms both ways, including decimals such as 1.5 kg = 1,500 g

Year 5 maths

Chapter 4: Litres and millilitres: 1 l = 1,000 ml

• Can convert between litres and millilitres both ways, including decimals such as 0.75 l = 750 ml

Year 5 maths

Chapter 5: Measure problems: add, subtract, multiply and divide with decimals and money

• Can solve measure and money problems by changing to the same unit, lining up decimal points and choosing to add, subtract, multiply or divide

Year 5 maths Year 5 maths

Chapter 6: Scaling measures: multiply and divide to make amounts bigger or smaller

• Can scale every amount in a recipe up or down by multiplying or dividing, and solve 'times as long' or 'times as heavy' problems

Year 5 maths Year 5 maths

Chapter 1: Length: converting km, m, cm and mm

• Can convert lengths between kilometres, metres, centimetres and millimetres

Year 4 maths

Chapter 2: Converting kg and g, litres and ml, pounds and pence

• Can convert kilograms and grams, litres and millilitres, and pounds and pence

Year 4 maths Year 4 maths

Chapter 3: Time: converting hours and minutes

• Can convert hours into minutes, and minutes into hours and minutes

Year 4 maths

Chapter 4: Estimating and comparing measures

• Can estimate measures and compare measures that use different units

Year 4 maths

Chapter 5: Calculating measures and money in pounds and pence

• Can add and subtract measures, add prices in pounds and pence, and work out change

Year 4 maths

Chapter 1: Coordinates: describing positions on a grid

• Can describe a position on a grid as coordinates, like (3, 5), going across first and then up

Year 4 maths

Chapter 2: Plotting points at coordinates (x, y)

• Can plot a point at given coordinates on a grid

Year 4 maths Year 4 maths

Chapter 3: Translations: moving left, right, up and down

• Can describe a move on a grid as a translation, such as 3 right and 2 up
• Can work out the new coordinates of a point after it moves left, right, up or down

Year 4 maths

Chapter 4: Plotting points to complete a polygon

• Can describe a position on a grid as coordinates, like (3, 5), going across first and then up
• Can plot a point at given coordinates on a grid
• Can plot points and draw sides to complete a polygon, including finding a missing corner of a square or rectangle

Year 4 maths

Chapter 1: Imperial units: inches, feet, ounces, pounds, pints and gallons

• Can name imperial units (inches, feet, ounces, pounds, pints and gallons) and say whether each one measures length, mass or capacity

Year 5 maths

Chapter 2: Inches and centimetres: 1 inch is about 2.5 cm

• Can use 1 inch ≈ 2.5 cm to compare lengths and convert between inches and centimetres

Year 5 maths

Chapter 3: Pounds, ounces and kilograms: 1 kg is about 2.2 lb

• Can compare and convert masses using 1 kg ≈ 2.2 lb, 1 lb ≈ 450 g and 1 ounce ≈ 28 g

Year 5 maths

Chapter 4: Pints, gallons and litres: 1 pint is about 568 ml

• Can compare and convert capacities using 1 pint ≈ 568 ml and 1 gallon ≈ 4.5 litres

Year 5 maths

Chapter 5: Comparing and solving problems with imperial and metric units

• Can compare imperial and metric measurements and solve problems by changing them into the same unit

Year 5 maths

Chapter 1: Lines of symmetry: the fold and mirror test

• Can tell whether a line is a line of symmetry by checking that both halves match exactly when folded

Year 4 maths

Chapter 2: Lines of symmetry in different orientations: turned shapes

• Can find vertical, horizontal and diagonal lines of symmetry in 2-D shapes, even when the shapes are turned

Year 4 maths

Chapter 3: Completing symmetric patterns on squared paper

• Can complete a symmetric pattern of squares about a vertical or horizontal mirror line

Year 4 maths

Chapter 4: Completing symmetric shapes about a mirror line

• Can complete a simple symmetric shape by reflecting each corner the same distance across a mirror line

Year 4 maths