Year 7

Find information from pictograms and tables.

Find information from bar and bar-line charts.

Display data using bar and bar-line charts.

Organise data using a tally chart.

Understand and use frequency tables.

Understand and draw a grouped bar chart.

Find the mode of a set of data.

Find the modal class of a set of data.

Find the range and median of a set of data.

Compare sets of data using their range, mode and median.

Calculate the mean of a set of data.

Calculating

Add numbers together in different ways.

Round to the nearest 10.

Approximate before adding.

Subtract numbers in different ways.

Approximate before subtracting.

Multiply numbers.

Recognise multiples.

Recognise square numbers.

Find roots of square numbers on a calculator.

Divide one number by another.

Use times tables to help you divide.

Use approximation to estimate division calculations.

Multiply and divide by 10, 100 and 1000.

Use addition, subtraction, multiplication and division.

Solve simple ratio and proportion problems.

Use negative numbers.

Continue a sequence.

Find outputs of simple functions.

Describe simple functions using words or symbols.

Simplify expressions.

Write expressions given a description in words.

Substitute positive integers into simple formulae written in words.

Substitute integers into simple formulae written in letter symbols.

Write simple formulae using words and letter symbols.

Graphs

Read information from real-life graphs.

Draw graphs to show change over time.

Write the coordinates of points on a grid.

Plot points from their coordinates.

Plot graphs of simple functions.

Read values from graphs.

Draw line graphs to show relationships between quantities.

Read values from science graphs.

Use the priority of operations.

Understand the rules of multiplication.

Use the operation keys on a calculator.

Recognise multiples of 2, 5, 10 and 25.

Work out multiples.

Multiply 3 digit numbers by a single digit.

Round numbers to the nearest 100 and 1000.

Divide 3 digit numbers by a single digit.

Decide whether you can divide a number by 2, 5, 9 or 10.

Begin to identify factors of numbers.

Solve problems involving multiplication and division.

Use a calculator to solve multiplication and division problems.

Find factors of numbers.

Identify prime numbers.

Recognise and use multiples, factors and primes.

Find common factors and multiples.

Work out the highest common factor and lowest common multiple of two numbers.

Work out if a number is divisible by 3, 4 or 6.

Decimals and Measures

Estimate and choose suitable units to measure length, mass and capacity.

Draw and measure lines to the nearest millimetre and centimetre.

Read a variety of scales.

Record estimates to a suitable degree of accuracy.

Read and write numbers in figures and words.

Understand, compare and order decimals including tenths and hundredths.

Read and interpret scales with decimals.

Order metric measurements.

Convert between different units of measurement.

Read and interpret scales.

Record measurements.

Recognise and extend number sequences by counting in decimals.

Add and subtract decimal numbers.

Extend mental methods of calculation to include decimals.

Round decimals to the nearest whole number and nearest tenth.

Use a calculator and interpret the display in different contexts.

Consolidate and extend mental calculation methods including decimals.

Multiply and divide decimal numbers.

Use a calculator to solve word problems involving money.

Round amounts on a calculator to 2 decimal places.

Know a right angle is 90 degrees.

Recognise, quarter, half and three quarter turns.

Recognise parallel and perpendicular lines.

Use compass points.

Recognise acute and obtuse angles,

Measure acute angles.

Label lines and angels.

Recognise acute, obtuse and reflex angles.

Measure obtuse angles.

Estimate the size of angles.

Draw acute angles.

Find missing angles on a straight line.

Find missing angles around a point.

Measuring and Shapes

Identify triangles, squares and rectangles.

Recognise the properties of triangles, squares and rectangles.

Describe the line symmetry of triangles, quadrilaterals and other shapes.

Solve problems using line symmetry.

Describe rotational symmetry.

Use metric units to measure area.

Calculate the area of squares and rectangles.

Factors and Multiples

Use the priority of operations.

Understand the rules of multiplication.

Use the operation keys on a calculator.

Recognise multiples of 2, 5, 10 and 25.

Work out multiples.

Multiply 3 digit numbers by a single digit.

Round numbers to the nearest 100 and 1000.

Divide 3 digit numbers by a single digit.

Decide whether you can divide a number by 2, 5, 9 or 10.

Begin to identify factors of numbers.

Solve problems involving multiplication and division.

Use a calculator to solve multiplication and division problems.

Find factors of numbers.

Identify prime numbers.

Recognise and use multiples, factors and primes.

Find common factors and multiples.

Work out the highest common factor and lowest common multiple of two numbers.

Work out if a number is divisible by 3, 4 or 6.

Decimals and Measures

Estimate and choose suitable units to measure length, mass and capacity.

Draw and measure lines to the nearest millimetre and centimetre.

Read a variety of scales.

Record estimates to a suitable degree of accuracy.

Read and write numbers in figures and words.

Understand, compare and order decimals including tenths and hundredths.

Read and interpret scales with decimals.

Order metric measurements.

Convert between different units of measurement.

Read and interpret scales.

Record measurements.

Recognise and extend number sequences by counting in decimals.

Add and subtract decimal numbers.

Extend mental methods of calculation to include decimals.

Round decimals to the nearest whole number and nearest tenth.

Use a calculator and interpret the display in different contexts.

Consolidate and extend mental calculation methods including decimals.

Multiply and divide decimal numbers.

Use a calculator to solve word problems involving money.

Round amounts on a calculator to 2 decimal places.

Order fractions.

Use fractions to describe parts of shapes.

Identify equivalent fractions.

Simplify fractions by cancelling.

Change an improper fraction to a mixed number.

Calculate simple fractions of quantities.

Add and subtract simple fractions.

Understand percentage as the number of parts per 100.

Write a percentage as a fraction or decimal.

Calculate percentages.

Transformations

Reflect a shape in a mirror line.

Translate a shape.

Draw and describe rotations.

Identify congruent shapes.

Project work or fun maths work.

Year 8

Find the mode, median and range for a set of data.

Find information from tables and diagrams.

Display data using tally charts, tables, bar charts and bar-line charts.

Interpret simple charts for grouped data.

Find the modal class for grouped data.

Calculate the mean of a set of data.

Compare sets of data using their ranges and averages.

Understand and draw line graphs.

Understand and draw dual and compound bar charts.

Analyse and present data using spreadsheets.

Number Skills

Use the priority of operations, including brackets.

Use multiplication facts up to 10 x 10 and the laws of arithmetic to do mental multiplication and division.

Multiply and divide by 10, 100 and 1000.

Round whole numbers to the nearest 10, 100 and 1000.

Make an estimate to check an answer.

Use a written method to add and subtract whole numbers of any size.

Use a written method to multiply whole numbers.

Use a written method to divide whole numbers.

Use inverse operations to check an answer.

Round decimals to the nearest whole number.

Interpret the display on calculator in different contexts.

Use a calculator to solve problems involving time and money.

Order positive and negative numbers.

Add and subtract positive and negative numbers.

Begin to multiply with negative numbers.

Use a calculator to explore divisibility.

Find all the factor pairs for any whole number.

Identify common factors, the highest common factor and the lowest common multiple.

Recognise prime numbers.

Recognise square numbers and triangle numbers.

Use a calculator to find squares and square roots.

Use the priority of operations including powers.

Use index notation for powers.

Do mental calculations with squares and square roots.

Find outputs of simple functions written in words and using symbols.

Describe simple functions in words.

Simplify simple linear algebraic expressions by collecting like terms.

Use arithmetic operations with algebra.

Use brackets with numbers and letters.

Simplify more complicated expressions by collecting like terms.

Write expressions from word descriptions using addition, subtractions and multiplication.

Write expressions to represent function machines.

Substitute positive integers into simple formulae written in words.

Substitute integers into formulae written in letter symbols.

Identify variables and use letter symbols.

Write simple formulae using letter symbols.

Identify formulae and functions.

Identify the unknowns in a formula and a function.

Decimals and Measures

Measure and draw lines to the nearest millimetre.

Write decimals in order of size.

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

Round decimals to make estimates and approximations of calculations.

Convert measurements into the same units to compare them.

Solve simple problems involving units of measurement in the context of length.

Convert between metric units of length, mass and capacity.

Read scales on a range of measuring equipment.

Interpret the display on a calculator in different contexts.

Interpret metric measures displayed on a calculator.

Plot and read coordinates in all four quadrants.

Multiply decimals mentally.

Check a result by considering whether it is of the right order of magnitude.

Understand where to position the decimal point by considering equivalent calculations.

Add and subtract decimals.

Multiply and divide decimals by single digit whole numbers.

Work out the perimeter of shapes.

Solve perimeter problems.

Find areas by counting squares.

Calculate the areas of squares and rectangles.

Calculate the areas of shapes made from rectangles.

Solve problems involving area.

Choose suitable units to estimate length and area.

Use units of measurement to solve problems.

Use metric and imperial units.

Use fraction notation to describe parts of a shape.

Compare simple fractions.

Use a diagram to compare two or more simple fractions.

Change an improper fraction to a mixed number.

Identify equivalent fractions.

Simplify fractions by cancelling common factors.

Add and subtract simple fractions.

Calculate simple fractions of quantities.

Work with equivalent fractions and decimals.

Write one number as a fraction of another.

Understand percentage as the number of parts per 100.

Convert a percentage to a number of hundredths or tenths.

Work with equivalent percentages, fractions and decimals.

Use different strategies to calculate with percentages.

Express one number as a percentage of another.

Probability

Use the language of probability.

Use a probability scale with words.

Understand the probability scale from 0 to 1.

Identify outcomes and equally likely outcomes.

Calculate probabilities.

Use a probability scale from 0 to 1.

Calculate more complex probabilities.

Calculate the probability of an event not happening.

Record data from a simple experiment.

Estimate probability based on experimental data.

Make conclusions based on the results of an experiment.

Use probability to estimate the number of expected wins in a game.

Apply probabilities from experimental data in simple situations.

Use direct proportion in simple contexts.

Solve the simple problems involving direct proportion.

Use the unitary method to solve simple words problems involving direct proportion.

Use ratio notation.

Reduce a simple ratio to its simplest form.

Reduce a three-part ratio to its simplest form by cancelling.

Divide a quantity into two parts in a ratio given in words.

Divide a quantity into two parts in a given ratio.

Solve word problems involving ratio.

Use ratios and measures.

Use fractions to describe and compare proportions.

Understand and use the relationship between ratio and proportion.

Use percentages to describe proportions.

Use percentages to compare simple proportions.

Understand and use the relationship between ratio and proportion.

Lines and Angles

Describe and label lines, angles and triangles.

Identify angle, side and symmetry properties of triangles.

Use a protractor to measure and draw angles.

Estimate the size of angles.

Solve problems involving angles.

Use a ruler and protractor to draw triangles accurately.

Solve problems involving angles and triangles.

Use the rule for angles on a straight line, angles around a point and vertically opposite angles.

Solve problems involving angles.

Use the rule for sum of angles in a triangle.

Calculate interior and exterior angles.

Solve angle problems involving triangles.

Identify and name types of quadrilaterals.

Use the rule for the sum of angles in a quadrilateral.

Solve angle problems involving quadrilaterals.

Recognise, describe and continue number sequences.

Generate terms of a sequence using a term-to-term rule.

Find missing terms in a sequence.

Find patterns and rules in sequences.

Describe how a pattern sequence grows.

Write and use number sequences to model real-life problems.

Generate and plot coordinates from a rule.

Solve problems and spot patterns in coordinates.

Find the midpoint of a line segment.

Describe and continue special sequences.

Use the term-to-term rule to work out more terms in a sequence.

Recognise and arithmetic sequence.

Recognise, name and plot graphs parallel to the axes.

Recognise, name and plot the graphs of y = x and y = -x

Plot straight-line graphs using a table of values.

Draw graphs to represent relationships.

Generate terms of a sequence using the position-to-term rule.

Use linear expressions to describe the nth term of simple sequences.

Transformations

Identify congruent shapes.

Use the language of enlargement.

Enlarge shapes using given scale factors.

Work out the scale factor given and object and its image.

Recognise line and rotational symmetry in 2D shapes.

Identify all the symmetries of 2D shapes.

Identify reflection symmetry in 3D shapes.

Recognise and carry out reflections in a mirror line.

Reflect a shape on a coordinate grid.

Describe a reflection on a coordinate grid.

Describe and carry out rotations on a coordinate grid.

Translate 2D shapes

Transform 2D shapes by combinations of rotations, reflections and translations.

Project work or fun maths work.