Download Year 7 - 10 maths overview

Topic
Numbers
Fractions
Year 7
Basic operations
Order of operations
Estimation
Multiples
Factors
Prime Numbers
Factor trees
Index notation
Square Numbers
Square Roots
Understanding
Simplifying
Improper/mixed
Basic operations
Mixed operations
Powers and Square roots
Decimals
Percentages
Basic operations
Percentages
Integers
Number Line
Positive Integers and zero
Number Plane
Basic operations
Graphical representation of integers
Algebra
Using Rules
Writing and finding formulas
Substitution
Problem solving
Expressions and equations
Like terms
Year8
Year9
Quick Revision
Long Division
Year 10
Rational and Irrational Numbers
Real Numbers
Operations with Fractions
Finite and recurring numbers
Irrational Numbers
Simplifying Surds
Addition and Subtraction of Surds
Multiplication and Division of Surds
Writing surd fractions with a rational
denominator*
Basic Fraction / decimal
operations
Fractions to Decimals
Decimals to Fractions
Place value
Comparing decimals
Converting decimals to fractions
Rounding off
Basic operations
Percentages
% to fractions
% to decimals
Fractions to %
Decimals to %
% of an amount
One amount as a % of another
Finding a % of an amount using decimal
numbers
One amount as a % of another
Applications
Using Calculator
Common Percentages
Using Pronumerals
Substitution with positive and negative
numbers
Working with brackets
Simplifying expressions
Basic operations with pronumerals
Expanding brackets
Factorising
Using Pronumerals
Worded questions
Like terms
Multiplication and Division
Algebraic fractions
Substitution and Formulas
EXPANDING
Expanding Single Brackets
Expanding Two Brackets
Expanding Pairs of Brackets
Expanding – 3 brackets
Factorising
Common Factors
Grouping 2and 2, 3 and 1, 1 and 3
DOPS
Quadratic Trinomials
Different Methods
Setting up Brackets
Coat hanger
Cross Method
Equations
Inverse operations
Building up expressions
Backtracking
Checking solutions
Worded Problems
What are indices?
Power and Bases
Multiplication and Division using
indices
Zero Index
Raising a power to a power
Indices and Exponential
Functions
Linear Graphs
Quadratic Equations and
Graphs
Backtracking – emphasize reverse
process of solving equations
Keeping equations balanced
Equations with pronumerals on both
sides
Checking solutions
Worded problems
Cartesian Plane
Coordinates
Plotting straight lines, parabolas.
hyperbola
Understanding that a graph is a
collection of points following a rule.
Plotting graphs
General Equation of a straight line
Sketching linear graphs using the
gradient and y intercept method and the
x and y intercept method
Determining linear rule just from
gradient
Expanding Patterns
More complicated expansions
Simplifying algebraic fractions –
addition, subtraction, multiplication and
division
Applications
FACTORISING
Highest Common Factor
Grouping
DOPS
Quadratic Trinomials
Mixed Factorising
Simplifying Algebraic Fractions
What is a linear equation?
Multi step equations
Solving equations with pronumerals on
both sides of the equation
Solving with brackets
Problem Solving
Solving linear inequations
Rearranging Formulas
Simultaneous Equations
Substitution and Elimination
Problem Solving
Basic Laws
Negative indices
Square and cube roots
Scientific Notation
General Equation of a straight line
Sketching linear graphs using the
gradient and y intercept method and the
x and y intercept method
Determining linear rules
Worded Problems
Speed time Graphs
Simultaneous Linear equations
graphically
What are quadratic equations?
Solving quadratic equations
Problem Solving
Key features of the graphs of quadratic
functions
Plotting quadratic functions
Sketching quadratic functions
Turning Point Form
Polynomial Form
Completing the Square
Basic operations with algebraic
fractions
Mixed factorisation
Solving quadratic equations
Solving more complex equations
Solving inequations
Algebraic Fractions
Index Laws
Negative Index Laws
Fractional Indices
Further use of index laws
Exponential Functions and their graphs
Modelling exponential growth and
decay
Problem Solving using equations
Sketching graphs
Finding linear equations
Linear Modelling
Sketching linear inequations
Solving simultaneous inequations
Speed, Time and Distance Problems
Using the quadratic formula
Finding solutions to quadratic
equations by inspecting graphs
Using the discriminant
Sketching parabolas in turning point
form and polynomial form
Solving quadratic inequations
Problem Solving Quadratics
Simultaneous Equations with Quadratic
and Linear
Ratio and Rates
Measurement
Geometry
Metric Units of length
Reading scales and measuring length
Converting units length
Perimeter
Area – rectangle, triangle
Converting units of area
Volume – rectangular prism
Capacity
Mass
Time
Rates and Speed
Graphs and time
Mass
Measuring Angles
Using a protractor
Types of Angles
Naming angles
Calculating size of an angle
Bearings – Compass and True
Triangles
Quadrilaterals
Polygons
Nets and Solids
Introduction to ratios
Simplifying Ratios
Proportions
Comparing Ratios
Increasing and Decreasing in a given
ratio
Dividing in a given ratio
Scale drawing
Rates
Speed
Estimation and Approximation
Error
Perimeter
Circumference
Area of rectangles, triangles,
parallelograms, circles, trapezium and
composite shapes
Surface Area of a triangular and
rectangular prism, cylinder
Volume of a prism, sphere
Metric units of length
Perimeter
Area
Area of sector
TSA
Volume
Sphere
Pyramid
Assignment 2 levels
Basic and Peter’s Assignment
Triangles
Angles in a triangle
Exterior angles of a triangle
Quadrilaterals
Angles in a quadrilateral
Angles in a Polygon
Angles and Parallel lines
Pythagoras’ Theorem
Right angled triangles
Finding side lengths
Composite shapes
Pythagorean Triads
3-D Pythagoras
Trigonometry
Errors in calculation
Perimeter
Area
TSA
Volume
Extension for future specialist students
Circle Geometry
Intersecting chords, secants and
tangents
Angles in a circle
What is Trigonometry?
Name the sides of a right angled triangle
Trigonometric Ratios
Using the calculator
Finding side lengths
Finding the size of an angle
Angles of elevation and depression
Further Applications of trigonometry
3D Pythagoras
Angles and the calculator
Using trig ratios to find lengths and
angles
Similar Triangles
Applications
Bearings
Methods Stream
Unit Circle
Circular Functions
N.B. Essential Text does it better
Measures of Central Tendency
Grouped data
N.B. Essential Text does it better
Further Maths 1&2
Graphs of y  sin x
y  cos x
Statistics
Reading Graphs
Data and Frequency Tables
Column and Bar graphs
Data collection and organisation
Tables and Charts
Column and Bar Graphs

Line Graphs
Pie Graphs
Mean
Median
Mode
Probability
Consumer Maths
Matrices
Cas Calculator
Venn Diagrams
Line Graphs
Histograms and Frequency Polygons
Dot Plots
Stem and Leaf Plots
Mean, Median Mode
Measures of Spread
Analysing data
Box Plots
Five Number Summary
Boxplots
Five Number Summary
Measures of spread
Bivariate data
Lines of Best Fit
Sample Space
Statistical Probability v’s theoretical
Probability
Single event probability
Tree diagrams
Two way tables
Venn Diagrams
Probability revision
Complemenatry events
Mutually exclusive events
Two way tables and lattice diagram
Tree diagrams
Independent and dependent events
Karnaugh Graphs
Conditional Probability
Use Mathsworld 1&2 Chapter 7
Consumer Maths Assignment
Consumer Maths Assignment
Matrices
Introduced in Year 9