Year 9 Mathematics

Expanding and Factorising

Pre-Test

• Pre-Test

​Algebra skills {revision}

• Substitution
• Simplifying by collecting like terms

​​Algebra skills

• Rearranging formulas

​Expansion

• The distributive law
• FOIL expansion
• Special situations
• Further expansion

Factorisation

• Factorising By HCF
• Factorising by sum and product {Part 1}
• Factorising by sum and product {Part 2}

Index and Surd Laws

​Index laws

• Multiplying indices using unknowns
• Dividing indices using unknowns
• Power of a power using unknowns
• The zero power
• Expanding quotients
• What are negative indices?
• Simplifying problems with negative indices
• ​Rational indices ​

​Application of indices

• Scientific notation
• Significant figures​

Surd laws

• Simplifying surds
• Operating with surds

Statistics

• Discrete vs continuous data
• Mean, median and mode
• ​Estimating the mean of grouped data
• ​Range & Interquartile Range (IQR)
• ​Box plots
• Frequency tables
• Histograms
• Stem-and-leaf plots
• ​Back-to-back stem-and-leaf plots
• Describing distribution of data​

Probability

• The language of probability
• ​Theoretical vs experimental probability
• Venn diagrams
• Two-dimensional grids
• Tree diagrams
• Compound probability
• Using tree diagrams
• Probability without replacement

Geometry

• Proving triangle congruency
• Proving similar triangles
• Finding the length of unknown sides in similar triangles
• Finding the length of unknown sides in similar triangles {Algebraic Example}

Pythagoras' Theorem

• What is Pythagoras' theorem?
• Finding the length of unknown sides
• Determining if a triangle is right-angled​

Trigonometry

​​Right-angled trigonometry​​

• Finding unknown sides
• Finding unknown angles​

Linear Relationships

Solving linear equations {revision}

• Solving basic linear equations​
• Solving more complex linear equations
• Unknowns on both sides

Coordinate geometry

• Finding the distance between two points
• Finding the midpoint between two points

Graphs of linear equations

• Finding the gradient (slope) of a line
• Perpendicular slopes
• Graphing linear equations (slope-intercept form)
• Finding the equations of linear graphs in slope-intercept form (part 1)
• Finding the equations of linear graphs in slope-intercept form (part 2)
• Graphing linear equations (general form)
• Vertical and horizontal lines​

Non-Linear Relationships

​​Quadratics

• Sketching quadratic graphs
• Solving quadratic equations

​​Circles

• Finding equations of circles
• Sketching circles from equations

​Solving rational equations {extension}

• Solving rational equations (part 1)
• Solving rational equations (part 2)
• Solving rational equations (part 3)

Financial Mathematics

​​Percentage skills {revision}

• Percentage of an amount
• Mark ups and discounts

​​Simple interest

• Simple interest