Understand the concept of a percentage and calculate simple percentages of amounts

Convert between FDP

Calculate percentage increase and decrease

Write a quantity as a percentage of another

Calculate percentage change

Percentage, tax, interest

Use ratio notation to express relationships

Simplify ratios

Simplify ratio and a unit ration 1:n or n:1

Divide a quantity into a ratio

Scale drawing and maps

Problems and applications of ratio

Ratio, proportion, scale, unit ratio

Use ratio notation to express relationships

Simplify ratios

Simplify ratio and a unit ration 1:n or n:1

Divide a quantity into a ratio

Scale drawing and maps

Problems and applications of ratio

Ratio, proportion, scale, unit ratio

Compare quantities (value for money, exchange rate etc)

Scaling up/down e.g. recipes, shapes

Conversion graphs

Changing between units of time, length, area and capacity

Reverse percentages and finding the original value given a percentage change

Proportional, direct, inverse, unitary

Using a ruler to measure lines and protractor to measure angles, labelling segments and angles correctly

Using a compass to draw circles and arcs

Construct triangles given SSS, SAS and ASA

Construct a perpendicular bisector, perpendicular from a point to a line and angle bisector

Drawing and reading scale drawing and loci

Perpendicular, construct, congruent, locus, bisector

Naming, labelling and recognising the features of triangles

Naming, labelling and recognising the features of quadrilaterals

Naming and recognising the features of other polygons

Identify angles on a straight line, around a point and vertically opposite

Identify angles in parallel lines

Bearing

Interior and exterior angles in polgons

Regular, irregular, alternate, corresponding, co-interior

Recap rectilinear area and perimeter

Recap area of triangles and quadrilaterals

Calculate circumference and area of circles

More complex area of compound shapes, problems involving area

Circumference, radius, diameter, pi

Solve simple one and two step equations

Solve equations with variables on both sides

Solve complex linear equations

Applications to forming and solving equations in a geometric or real life context

Expression, equation, variable, inverse, linear

Write formulas in words and letters

Substitute values into formulae using inputs and outputs

Rearrange linear formulae

Rearrange non linear formulae

Rearrange formulae with factorisation

Formulae, input, output, non-linear, factorisation

Draw a scatter graph

Interpret relationships from scatter graphs, recognise correlation

Draw and predict from a line of best fit

Interpret and construct tables and line graphs for time series data

Bivariate, correlation, causation, interpolate, extrapolate

Generate terms of a sequence from term to term and position to term rules

Find the nth term of an arithmetic sequence

Recognise simple geometric sequences, quadratic sequences, common sequences

Sequence, arithmetic, geometric, generate, nth term

Plot 2D coordinates in four quadrants

Express number relationships algebraically

Represent number relationships on a Cartesian grid

Sketch graphs of straight lines and quadratics by finding a table of values

Read/estimate values of variables from a graph

Read the gradient from the graph and find the y intercept

Sketch the graph given the gradient and y intercept

Identify graphs of real life situations

Find speed from distance time graphs, acceleration and distance from velocity time graphs

Cartesian, gradient, y-intercept, quadrant

Solve linear inequalities in one variable

Represent the solutions on a number line

Represent linear inequalities in two variables on a Cartesian grid

Identify integer solutions to inequalities

Inequality, linear, variable, integer solutions

Draw a scatter graph

Interpret relationships from scatter graphs, recognise correlation

Draw and predict from a line of best fit

Interpret and construct tables and line graphs for time series data

Bivariate, correlation, causation, interpolate, extrapolate

Record, describe and analyse the frequency of outcomes of simple probability experiments

Calculate theoretical probability

Generate theoretical sample spaces and use these to calculate probabilities

Record outcome and possibilities using frequency trees, two way tables and simple Venn diagrams. Use these to calculate probabilities

Sets and logic, including more advanced work on Venn Diagrams

Probability, theoretical, experimental, mutually exclusive, exhaustive

Use Pythagoras’ Theorem to calculate missing sides of a right angled triangle

Use Trigonometry to calculate missing sides and angles of a right angled triangle

Exact values of sine, cos and tan for 0, 30, 45, 60 and 90 degrees

Problems involving Pythagoras and trigonometry including bearings

Pythagoras’ Theorem, Trigonometry (sine, cosine, tangent), hypotenuse, adjacent, opposite

Use Pythagoras’ Theorem to calculate missing sides of a right angled triangle

Use Trigonometry to calculate missing sides and angles of a right angled triangle

Exact values of sine, cos and tan for 0, 30, 45, 60 and 90 degrees

Problems involving Pythagoras and trigonometry including bearings

Pythagoras’ Theorem, Trigonometry (sine, cosine, tangent), hypotenuse, adjacent, opposite

Identify parts of circles

Calculate the circumference and area of a circle

Problems with circumference and area of circles

Calculate the arc length and sector area

Identify and use Circle Theorems

Prove Circle Theorems

Subtended, equidistant, Alternate Segment Theorem, cyclic quadrilateral

Write large numbers in standard form

Write small numbers in standard form

Compare numbers that are in standard form

Add and subtract numbers in standard form

Multiply and divide numbers in standard form

Problems and applications to standard form

Standard form, index form, ordinary form

Construct two linear simultaneous equations from a context and represent the solution graphically

Find the solution to two simultaneous linear equations algebraically and check solutions

Calculate the gradient a line

Identify equations of parallel and perpendicular lines

Advance y = mx + c questions – finding the equations given two points or a point and the gradient

Gradient, intercept, linear, quadratic, simultaneous, parallel, perpendicular

Expand more than two brackets

Factorise quadratic expressions

Factorise the difference of two squares

Simplify algebraic fractions, including numerical factor, single letter factors and bracket factors

Expand, factorise, quadratic, binomial, polynomial

Recap plotting a quadratic, reading values from a graph

Introduce the f(x) = notation as a substitution for y =

Solving quadratic equations by factorising, the quadratic formula, completing the square or graphically

Select the best method for solving quadratic equations

Variable, coefficient, roots, function of x, turning points (minimum/ maximum points), completing the square, Quadratic formula

Averages of grouped data

Graphical representations of continuous and grouped data – cumulative frequency, box plots and frequency polygons

Measures of spread – interquartile range

Compare data sets

Cumulative frequency, quartile, spread, class interval, box plot