MANGAHIGH
Algebra
Simplifying algebra
Add and subtract terms with single letters
Add and subtract terms with multiple letters
Multiply terms
Multiply a bracket by a number
Multiply a bracket by a term
Expand sets of single brackets
Expand sets of single brackets with indices
Multiply two brackets together
Multiply two linear brackets together
Multiply any two brackets together
Algebraic fractions
Simplify algebraic fractions
Multiply and divide algebraic fractions
Multiply and divide algebraic fractions using factorising
Add and subtract algebraic fractions
Add and subtract algebraic fractions using factorising
Factorising
Factorise using a common term
Factorise using a common bracket
Factorise quadratics in form
x
² +
bx
+
c
Factorise quadratics in form
ax
² +
bx
+
c
Factorise x² - b² using the difference of two squares
Factorise a²x² - b² using the difference of two squares
Factorise 4 terms into 2 brackets
Forming algebra
Form an expression or formula
Form an equation
Form equations with indices
Form complex equations with indices
Equations, formulae, functions, expressions & identities
Use identities to solve problems
Substituting values
Substitute whole numbers into algebra
Substitute whole numbers into algebra using indices
Substitute positives & negatives into algebra using indices
Substitute any number into algebra
Derive results using algebraic substitution
Number machines
Solving linear equations
Introducing equations
Solve linear equations
Solve linear equations involving negatives
Solve linear equations involving brackets
Solve linear equations with an unknown on both sides
Solve linear equations involving fractions and decimals
Solving quadratics (factorising)
Solve quadratics with 2 terms
Solve quadratics by factorising - coefficient of
x
² equals 1
Solve quadratics by factorising - coefficient of
x
² more than 1
Solve quadratics using the formula
Solve quadratics by using the quadratic formula
Completing the square
Completing the square
Completing the square - coefficient of
x
² more than 1
Use the completed square
Solve equations by rearranging
Solve equations by rearranging
Inequalities
Inequalities
Two inequality signs
Inequalities on a number line
Inequalities on graphs
Simultaneous equations
Solve simultaneous equations - straight line graphs
Solve simultaneous equations - elimination method
Solve simultaneous equations - substitution method
Solve simultaneous equations - curved graphs
Forming simultaneous equations
Rearranging formulae
Rearrange formulae
Rearrange formulae with indices
Rearrange formulae where the subject appears more than once
Trial and improvement
Trial and improvement
Coordinates
Coordinates
Coordinates in 4 quadrants
Midpoints
Straight line graphs
Recognise common straight line graphs
Draw straight line graphs
Draw straight line graphs using
y
=
mx
+
c
Draw straight lines using implicit equations
Test to see if a point is on a line
Find the gradient of a line using its graph
Find the gradient of a line from 2 points
Find the equation of a line from a graph
Find the equation of a line given the gradient and a point
Use patterns in coordinates to find the equation of a line
Find the
x
and
y
intercepts of lines
Find the gradient and
y
intercept from the equation of a line
Match together equations and lines
Equations of parallel lines
Equations of perpendicular lines
Real life straight line graphs
Curves
Recognise the equations of common curves
Drawing quadratic curves
Drawing curves
Test to see if a point is on a curve
Find the equation of a curve
Find the
x
and
y
intercepts of curves
Exponential graphs
Trigonometric graphs
Circle equations
Solving equations using graphs
Use graphs to solve equations
Use graphs to solve trigonometric equations
Graphical transformations
Translate graphs vertically
Translate graphs horizontally
Reflect graphs
Stretch graphs in the
y
direction
Stretch graphs in the
x
direction
Sequences
The term to term rule
Find the
n
th term of a linear sequence
Find the
n
th term of a non-linear sequence
Use
n
th term to generate linear sequences
Use
n
th term to generate sequences
Use the
n
th term to solve problems
Patterns and linear rules
Patterns and non-linear rules
Sketch graphs
Sketch graphs - filling containers
Proportionality equations
Direct proportion
Inverse proportion
Using algebra
Explain relationships between numbers
Use < > and =
Algebra and sequences
Recognise number patterns and relationships
Test a general statement using numbers