Maths GCSE Higher CHECKLIST

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Grade

Title

9

Vectors involving ratios

9

3d Sine and Cosine rule

8

Vectors along a straight line

8

3d Trig, angle between line and plane

8

3d Pythagoras in pyramids

7

3d Pythagoras in cuboids

7

Surface area: cones and spheres

7

Circle theorems

7

Sine and Cosine Rule

6/7

Trig with obtuse angles

6

Volume: Spheres and cones

6

Combined transformations

6

Areas of sectors and segments

6

Angles of elevation and depression

6

Vector: Notation, arithmetic

5

Enlargements and negative SF

5

Pythagoras distance between two points.

5

Surface Area

5

Trigonometry formulas

5

Circle theorems

4

Pythagoras theorem

4

Rotations

4

Congruent triangles

4

Enlargements and fractional SF

4

Translations

4

Reflections

4

Constructing bisectors

3

Bearings

3

Triangle constructions

3

Volume of prisms

3

Areas of composite shapes

4

Area and circumference of circles

3

Areas of triangles, trapezia and parallelograms

3

Interior and exterior angles

3

Angles on parallel lines

3

Geometrical rules

3

Measuring lines and angles

3

Properties of quadrilaterals

3

Properties of triangles

3

Using standard units

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Grade

Title

8

Interpreting histograms

7

Drawing histograms

7

Similar area and volume

6

Quartiles, interquartile range

6

Comparing data

4

Frequency Tables

4

Relative frequency

4

Listing Outcomes and Expected frequency

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Grade

Title

8

Tree Diagrams, conditional

7

Tree Diagrams

7

Direct Proportion

7

Inverse Proportion

7

Probability from 3 set venn diagram

6

The ‘AND’ Rule, Independent

5

The ‘OR’ Rule, Mutually exclusive

5

Probability from Venn diagrams

4

Mutually exclusive sum

4

Relative Frequency

4

Expected Frequency

4

Listing Outcomes (sample space diagrams)

3

Probability of equally likely outcomes

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Grade

Title

9

Graph stretches

9

Differentiation, displacement -

velocity - acceleration

9

Differentiation: max or min

9

Quadratic inequalities (trinomial)

9

Completing the square where a is

not 1 of e.g. 2x² + 5x + 2

9

Sketching graph from completing

the square

9

Surds: Rationalising the

denominator

8

Differentiation: stationary points

8

Graph reflections

8

Trigonometry graph

transformations

8

Tangent to find gradient of a curve

8

Graphing Quadratic linear

simultaneous equations

8

Sum of arithmetic series

8

Algebraic quadratic linear

simultaneous equations

8

Completing the square

8

Algebraic fractions

8

Trigonometry graphs

8

Proof involving odds and evens

8

Composite and inverse functions

7

Graph translations

7

Proof involving multiples

7

Disproof by counter example

7

Nth term from any two terms

7

Quadratic inequalities (binomial)

7

Applied quadratic equations

7

Manipulating surds

7

Fractional rule of indices

7

Triple Bracket expansion

7

Quadratic formula

7

Factorising a quadratic where a is not 1 of e.g. 2x² + 5x + 2

7

Equations of perpendicular lines

7

Excluding from a domain

7

Differentiation to find the gradient

6

Differentiation formula

6

Functions

6

Equations of parallel lines

6

Graphing linear simultaneous equations

6

Quadratic inequalities

6

Simplifying algebraic fractions

6

Changing the subject when it appears twice

6

Factorising, difference of two squares

6

Cubic and reciprocal graphs

5

Showing inequalities on a graph (regions)

5

Simultaneous equations

5

Solving quadratic equations from a graph

5

Factorising quadratic expressions

5

Graphical solution to equations

5

Deciding if a term is in a sequence

5

Linear equations

5

Quadratic graphs

5

Simplify indices

5

Solve linear inequalities with one variable

5

Solving equations with fractions or squares

5

Changing the subject (rearranging formulas)

4

Inequalities on number lines

4

Expressions

4

Finding the equation of a line

4

Graphs of linear functions

4

Solving equations with brackets

4

Factorising single brackets

4

nth term of a linear sequence

4

Expanding double brackets

4

Substitution

4

Using "y = mx + c"

3

Gradient of a line

3

Plotting straight line graphs

3

Inequalities

3

Midpoint of a line

3

Straight line graphs, Horizontal, vertical and diagonal

3

Solving equations with one unknown

3

Expanding single brackets

3/4

Using Formulae

3

Number and shape patterns

I can do this

Grade

Title

8

3 Set Venn Diagram

7

Bounds calculations: min and max

7

Recurring decimals to fractions

7

Venn diagrams with number of members

7

Drawing a Venn diagram

6

Subsets: Sets and Venn

6

Sets: Describing sets, number

5

Venn Diagrams to represent Sets

5

Complement of sets

5

Calculating with standard form

5

Bounds

5

Index Laws

5

Recurring decimals

5

LCM and HCF

4

Sets: Member, union, intersection and number

4

Prime Factors

4

Estimation

4

Fractions and percentages

4

Fractions and ratio problems

4

Interpret calculator displays

4

Multiplying fractions

4

Standard Form

3

Rounding to significant figures

3

Adding and subtracting fractions

3

Decimals

3

Mixed numbers and improper fractions

3

Prime numbers

3

Multiples and factors

I can do this

Grade

Title

6

Cumulative frequency

5

Compound interest and depreciation

4

Unit conversions: area and volume

4

Scale factors and similarity

4

Speed, density and pressure

4

Reverse percentages

4

Compare Fractions, Decimals and Percentages

4

Comparing quantities as a ratio

4

Division of a quantity as a ratio

4

Express one quantity as a % of another

4

Percentage change

4

Ratio Sharing

4

Speed Time graphs

3

Distance time graphs

3

Proportion and recipes

3

Simple interest 

3

Express one quantity as a fraction of another

3

Percentages of amounts

3

Currency Conversions