Year 10 Mathematics

Algebra

Check For Understanding

• Check for understanding

​​ Index laws

• Multiplying indices
• Dividing indices
• Power of a power
• The zero power
• Expanding quotients
• What are negative indices
• Simplifying with negative indices
• Rational indices

Surds

• Simplifying surds
• Operating with surds

Expanding brackets

• Collecting like terms
• The distributive law
• FOIL expansion
• Special situations
• Further expansion

Simultaneous Equations

Solving linear equations {revision}

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

Solving rational equations

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

Linear inequalities

• Solving linear inequalities​

Graphs of linear equations

• Finding the gradient
• Perpendicular gradients
• Graphing linear equations (slope-intercept form)
• Graphing linear equations (standard form)

Solving simultaneous equations (bicycle problem)

• Introduction problem
• Graphical solution
• Solution by substitution
• Solution by elimination

Quadratics

Factorising when A = 0

• Sum and product method (part 1)
• Sum and product method (part 2)

Factorising when A ≠ 0

• Cross method (part 1)
• Cross method (part 2)

Factorising special situations​

• Factorising perfect squares
• Factorising difference of two squares (part 1)
• Factorising difference of two squares (part 2)
• ​Factorising by completing the square

Solving quadratic equations

• Solving basic quadratics
• Null factor law
• Solution by factorisation
• Solution by completing the square
• The quadratic formula

Sketching quadratic equations

• From factorised form
• From vertex form (part 1)
• From vertex form (part 2)
• By completing the square​

Statistics

Univariate statistics

• Measures of middle (mean, median mode)
• Measures of spread (range and interquartile range)
• Measures of spread (standard deviation)
• Histograms
• Box plots​

Bivariate statistics

• Association between variables
• The effect of outliers on correlation
• Causality
• Interpreting Pearson's correlation coefficient
• Interpolation and extrapolation​

Functions, Relations and Graphs

Polynomial functions

• Cubic functions
• Higher degree polynomials

Exponential functions

•  Interpreting values of exponential functions

Rational functions

•  Interpreting rational functions

Circles

• Interpreting equations of circles

Trigonometric functions

• Introduction to the Unit Circle
• Solving trigonometric functions

Trigonometry

Pythagoras' theorem {Review}

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

Right-angled trigonometry​

• Finding unknown sides
• Finding unknown angles

Problem solving

• Angles of elevation and depression
• 3-Dimensional problems​

Non-right-angled trigonometry

• Area of triangles
• Area of triangles proof
• Sine rule {Finding Unknown Sides}
• Sine rule {Finding Unknown Angles}
• ​Cosine rule​

Geometry

• Congruent triangles
• Similar triangles

Further Extension

• Coming Soon