Simplify expressions with surds into the form a + b3

Number

A*

Use index laws to evaluate any expression involving powers

Number

A*

Find the upper and lower bounds of calculations

Number

A*

Solve fractional equations with the unknown in the denominator

Algebra

A*

Simplify algebraic fractions

Algebra

A*

Solve quadratic equations by using the quadratic formula

Algebra

A*

Use the technique of completing the square

Algebra

A*

Solve a pair of simultaneous equations where one is linear and the other is a circle

Algebra

A*

Solve cubic equations by drawing appropriate lines on graphs

Algebra

A*

Transform the graphs of y = f(x), such as linear, quadratic, cubic, sine and cosine functions, using the transformations y = f(x) + a, y = f(x + a), y = f (ax) and y = af(x)

Algebra

A*

Recognise and sketch the shapes of graphs of functions

Algebra

A*

Derive algebraic proofs using reasoning and logic

Algebra

A*

Construct the graphs of loci, including the circle x<sup>2</sup> + y<sup>2</sup> = r<sup>2</sup>

Algebra

A*

Use trigonometry in three dimensions

Shape & Space

A*

Understand the graphs of trigonometric functions for angles of any size

Shape & Space

A*

Find the volume of the frustum of a truncated cone

Shape & Space

A*

Solve vector geometry problems

Shape & Space

A*

Solve probability problems involving dependent events

Data Handling

A*

Rationalise the denominator of a surd

Number

A

Use index laws to evaluate simple fractional or negative powers

Number

A

Solve proportion problems (direct, inverse, proportional to the square, inversely proportional to the square)

Algebra

A

Interpret the graphs of direct and inverse proportion relationships

Algebra

A

Rearrange formulae where the new subject appears twice

Algebra

A

Understand the gradients of perpendicular straightline graphs

Algebra

A

When given a graph, draw another line to solve an equation

Algebra

A

Solve a pair of simultaneous equations where one is linear and the other involves x<sup>2</sup>

Algebra

A

Calculate the length of an arc and the area of a sector and a segment of a circle

Shape & Space

A

Calculate the surface areas of cylinders, cones and spheres

Shape & Space

A

Calculate the volumes of cylinders, cones and spheres

Shape & Space

A

Prove and use the circle theorems

Shape & Space

A

Enlarge a shape by a negative scale factor

Shape & Space

A

Solve problems involving the enlargement of areas and volumes

Shape & Space

A

Solve vector geometry problems by adding, subtracting or multiplying with vectors

Shape & Space

A

Use congruent triangles to solve problems and to provide proofs

Shape & Space

A

Use Pythagoras theorem in 3D problems

Shape & Space

A

Use the cosine rule in any triangle

Shape & Space

A

Use the sine rule in any triangle

Shape & Space

A

Work out the area of a triangle using sin

Shape & Space

A

Use stratified sampling

Data Handling

A

Interpret statistical graphs and draw conclusions

Data Handling

A

Construct and interpret a histogram

Data Handling

A

Solve probability problems involving independent events

Data Handling

A

Convert recurring decimals to fractions and fractions to recurring decimals

Number

B

Identify recurring and terminating decimals

Number

B

Calculate using standard index form

Number

B

Convert between ordinary and standard index form representations

Number

B

Work out reverse percentage problems

Number

B

Work out compound interest

Number

B

Calculate proportional changes using a multiplier

Number

B

Expand and simplify quadratics

Algebra

B

Factorise quadratic expressions

Algebra

B

Solve quadratic equations by factorising

Algebra

B

Rearrange formulae that include brackets, fractions and square roots

Algebra

B

Use and understand y=mx+c

Algebra

B

Solve a set of linear inequalities in 2 variables by shading a region of a graph

Algebra

B

Solve a pair of simultaneous equations algebraically

Algebra

B

Solve simultaneous equations graphically

Algebra

B

Complete tables for, and draw graphs of cubic functions and quadratics

Algebra

B

Calculate angles where circles are involved

Shape & Space

B

Discuss and interpret graphs modelling real situations

Shape & Space

B

Interpret velocitytime graphs

Shape & Space

B

Solve problems involving similar triangles

Shape & Space

B

Calculate the distance between two points using their coordinates

Shape & Space

B

Use sin, cos and tan in a rightangled triangle

Shape & Space

B

Compare two sets of data using averages

Data Handling

B

Construct and interpret a box plot

Data Handling

B

Construct and interpret a cumulative frequency diagram

Data Handling

B

Work out the median, quartiles and interquartile range

Data Handling

B

Find the least common multiple (LCM)

Number

C

Find the highest common factor (HCF)

Number

C

Write a number as a product of prime factors

Number

C

Find the reciprocal of a number

Number

C

Estimate answers to calculations

Number

C

Use a calculator correctly and efficiently

Number

C

Find the minimum and maximum values of a number that has been rounded off

Number

C

Round a number off to a given number of significant figures

Number

C

Understand the effects of multiplying by numbers between 0 and 1

Number

C

Divide a number by a decimal

Number

C

Work out a percentage increase or decrease

Number

C

Express one quantity as a percentage of another

Number

C

Solve ratio and proportion problems such as sharing out

Number

C

Solve ratio and proportion problems using the unitary method

Number

C

Calculate with fractions

Number

C

Factorise expressions with one pair of brackets

Algebra

C

Multiply out expressions with brackets

Algebra

C

Use index notation and index laws for positive and negative powers

Algebra

C

Write the nth term of a sequence or a series of diagrams

Algebra

C

Find a solution to a problem by forming an equation and solving it

Algebra

C

Solve linear equations

Algebra

C

Form and solve equations such as x<sup>3</sup> + x = 12 using trial and improvement methods

Algebra

C

Recognise the equations of straightline graphs

Algebra

C

Find the gradients of straightline graphs

Algebra

C

Draw graphs of quadratic functions by plotting points

Algebra

C

Represent solutions to inequalities on a number line

Algebra

C

Solve linear inequalities

Algebra

C

Understand the difference between a demonstration and a proof

Algebra

C

Convert between different units of area and volume

Shape & Space

C

Calculate the volume of prisms and cylinders

Shape & Space

C

Solve problems involving perimeters and areas of circles

Shape & Space

C

Solve problems involving surface areas of prisms and cylinders

Shape & Space

C

Classify a quadrilateral by its geometric properties

Shape & Space

C

Solve problems using angle and symmetry properties of polygons

Shape & Space

C

Understand and use coordinates in three dimensions

Shape & Space

C

Find the midpoint of a line segment

Shape & Space

C

Transform shapes by a combination of translation, reflection and rotation and know that area and angles are unchanged

Shape & Space

C

Describe fully, and carry out reflections in lines and rotations about any point

Shape & Space

C

Reflect shapes in the lines y = x and y = x

Shape & Space

C

Translate a shape by a vector

Shape & Space

C

Enlarge a shape by any positive scale factor

Shape & Space

C

Calculate average speeds from distancetime graphs

Shape & Space

C

Understand and use compound measures such as speed and density

Shape & Space

C

Prove that angles in a triangle add up to 180 degrees

Shape & Space

C

Use Pythagoras theorem in practical problems

Shape & Space

C

Use Pythagoras theorem

Shape & Space

C

Solve loci problems

Shape & Space

C

Construct an accurate locus

Shape & Space

C

Carry out accurate constructions, using ruler and compass

Shape & Space

C

Find averages from grouped data

Data Handling

C

Use a line of best fit to estimate values on a scatter graph and describe the correlation

Data Handling

C

Draw a line of best fit on the scatter graph

Data Handling

C

Identify possible sources of bias in the design and use of data collection sheets & questionnaires

Data Handling

C

Specify hypotheses and test them

Data Handling

C

Use relative frequency to find probabilities

Data Handling

C

Create a tree diagram

Data Handling

C

Use a variety of different sampling methods

Data Handling

C

Understand and learn the words: square, positive and negative square root, cube and cube root, learn squares up to 15x15 and cubes up to 5 cubed

Number

D

Multiply two numbers involving decimals

Number

D

Increase or decrease a quantity by a given percentage

Number

D

Convert between decimals, fractions and percentages

Number

D

Recognise the words: equation, formula, identity and expression

Algebra

D

Write the terms of a sequence or a series of diagrams when given the nth term

Algebra

D

Draw lines such as y = 2x + 3 using a table of values

Algebra

D

Solve equations with unknowns on each side and with brackets

Algebra

D

Substitute numbers into formulas

Algebra

D

Find the area and perimeter of compound shapes

Shape & Space

D

Calculate the area of a circle

Shape & Space

D

Calculate the circumference of a circle

Shape & Space

D

Find the area of a triangle, parallelogram, kite and trapezium

Shape & Space

D

Draw and interpret maps and scale drawings

Shape & Space

D

Reflect shapes in lines such as x = 2 or y = 1

Shape & Space

D

Identify reflection symmetry in 3D shapes

Shape & Space

D

Translate a shape using directions

Shape & Space

D

Enlarge a shape by a positive integer scale factor

Shape & Space

D

Solve problems using bearings

Shape & Space

D

Solve problems using the properties of intersecting and parallel lines

Shape & Space

D

Draw a quadrilateral such as a kite or a parallelogram with given measurements

Shape & Space

D

Construct and recognise the nets of 3D shapes such as pyramids and triangular prisms

Shape & Space

D

Draw plans and elevations of 3D shapes

Shape & Space

D

Calculate the mean for a frequency distribution

Data Handling

D

Construct an ordered stemandleaf diagram

Data Handling

D

Construct a frequency diagram

Data Handling

D

Draw and interpret pie charts

Data Handling

D

Draw a scatter graph by plotting points on a graph and interpret it

Data Handling

D

Classify and know the difference between various types of data

Data Handling

D

Design and use data collection sheets and questionnaires

Data Handling

D

Use a twoway table to work out probability

Data Handling

D

List all the possible outcomes of two events, using a probability space

Data Handling

D

Understand probabilities of mutually exclusive events

Data Handling

D
