Numbers

4

Understand and use decimal notation and place value

Multiply and divide whole numbers and decimals by 10, 100, 1000, and explain what happens.

Put decimals in order of size

Round positive whole numbers to the nearest 10, 100 or 1000

Round decimals to the nearest whole number or one decimal place.          

Use negative numbers on a number line.

Put negative numbers in order of size.

Add and subtract positive and negative whole numbers.

Find multiples of a number.

Find factors of a number.

Find the highest common factor (HCF) of two numbers.

Find the lowest common multiple (LCM) of two numbers.

Recognise or find all the prime numbers less than 100 (i.e. 2, 3, 5, 7, 11, ...)

Recognise the first few triangular numbers (i.e. 1, 3, 6, 10,...)

Recognise square numbers up to 12x12=144.

Find square roots of square numbers.

Use fractions to describe shaded parts of shapes.

Simplify fractions by cancelling down.

Spot equivalent fractions. (e.g. ³⁵/50 = ⁷/10).

Add and subtract simple fractions.

Calculate fractions of quantities.

Understand that percent means ‘out of 100’;

Convert fractions into decimals and decimals into fractions, e.g. 0.23 = ²³/100

Convert percentages into fractions and fractions into percentages.

Convert percentages into decimals and decimals into percentages.

Understand ratio notation (e.g. 2:3) and reduce a ratio to its simplest form.

Divide a quantity into two parts in a given ratio.

Calculations

4

Understand that addition and subtraction are opposites.

Understand that multiplication and division are opposites.

Know and use the order of operations (BIDMAS or BoDMAS), including brackets.

Remember multiplication tables up to 10 x 10.

Remember complements to 100 (i.e. 23+73, 45+55, etc).

Split complex calculations into simpler steps.

Solve simple calculations involving decimals, fractions and percentages mentally.

Make and explain estimates and approximations of calculations.

Add and subtract whole numbers and decimals (with up to two decimal places) on paper.

Multiply and divide three-digit by two-digit whole numbers on paper.

Multiply and divide decimals with one or two decimal places by single-digit whole numbers.

Use brackets, the memory, the square root key and the sign change key on a calculator.

Check a result by estimation or by working the problem backwards.

Solving problems

4

Decide when to do a calculation mentally, using a written method or using a calculator

Explain how to do a calculation in writing.

Spot and explain patterns in numbers and shapes.

Solve real-life problems involving money, measurements and time using simple calculations.

Algebra

4

Use letters to represent unknown numbers.

Remember the meanings of the words term, expression and equation.

Simplify algebraic expressions by collecting like terms.

Expand (‘multiply out’) expressions with brackets.

Solve simple equations.

Use simple formulae.

Continue and describe simple sequences.

Find terms of a simple sequence, given a rule.

Generate sequences from diagrams and describe the general term.

Describe simple functions (‘relationships’ or ‘rules’) in words.

Work out coordinates from a simple rule and plot them.

Name straight-line graphs parallel to the x-axis or y-axis.

Shape, space and measures

4

Identify parallel and perpendicular lines.

Remember that the sum of angles around a point is 360°.

Remember that the sum of angles on a straight line is 180°.

Remember that the sum of angles in a triangle is 180°.

Recognise vertically opposite angles – they are equal.

Draw 3D shapes on triangular dotty paper (isometric paper).

Explain how a shape has been reflected, rotated or translated.

Reflect shapes in a mirror line.

Remember the names and properties of triangles (isosceles, equilateral, scalene, right-angled).

Remember the names and properties of quadrilaterals (square, rectangle, rhombus, parallelogram, trapezium, kite).

Draw lines of symmetry on 2D shapes.

Work out the order of rotational symmetry for 2D shapes.

Use coordinates in all four quadrants – i.e. including negative numbers.

Use a ruler to measure and draw lines to the nearest millimetre.

Use a ruler and protractor to construct a triangle from information about the sides and/or angles.

Use ruler and protractor to construct simple nets of 3-D shapes, (e.g. cuboid, tetrahedron, etc.)

Use units of measurement for length (mm, cm, m, km), area (cm², m²), mass (g, kg), and capacity (ml, l).

Convert one metric unit to another (e.g. grams to kilograms).

Read and interpret scales on a range of measuring instruments.

Use a protractor to measure angles, including reflex angles, to the nearest degree.

Identify acute, right, obtuse, straight and reflex angles.

Estimate the sizes of acute, obtuse and reflex angles.

Remember and use the formula for the area of a rectangle.

Calculate the perimeter and area of shapes made from rectangles.

Calculate the surface area of cubes and cuboids.

Handling data

4

Design a data collection sheet for a survey or questionnaire.

Construct frequency tables for discrete data.

Construct frequency tables for grouped data.

Calculate the mode, median and range, and find the modal class for grouped data.

Calculate the mean, including from a simple frequency table.

Compare two sets of data using the range and the mode, median or mean.

Draw bar-charts and line-graphs.

Read bar-charts, line-graphs and pie-charts and draw conclusions from them.

Describe the probability of something happening (using words like impossible, likely, etc).