Year 10B Unit Plan

10B Maths – Term 1

Patterns and Algebra

Algebraic Fractions

Linear Equations

Simultaneous Solutions

• Expand Algebraic Expressions
• Expand Binomial Expressions
• Expand Special Binomial Products
• Factorise Expressions
• Factorise Special Binomials
• Understand and Apply Quadratic Factorisation.

• Apply Operations to Algebraic Fractions
• Simplify Algebraic Fractions

• Identify Linear Equations
• Solve Linear Equations
• Solve Word Problem involving Linear Equations
• Find Equations of Linear Functions using a variety of methods
• Simultaneously Solve Linear Equations.

• Exam

• Accurate and successful completion of problems from the textbook.
• Improvement in Maths Mate results.

10B Maths – Term 2

Patterns and Algebra

Quadratic functions

Graphical Representations

Index Laws

• Understand the general form of a Quadratic
• Sketch Quadratics using a variety of methods
• Factorise Quadratics using a variety of methods
• Solve word problems using Quadratics
• Simultaneous Solutions of Quadratics

• Understand and Apply the Index Laws to positive, negative and algebraic powers.

• Exam

• Accurate and successful completion of problems from the textbook.
• Improvement in Maths Mate results.

10B Maths – Term 3

Trigonometry

Periodic Functions

• Understand and Apply Pythagoras’ Theorem, Sine, Cosine and Tangent ratio formulas to solve problems involving right angled triangles.
• Applications of the SINE rule.
• Application of the COSINE rule
• Apply the above to 3D applications

• Convert between Degrees and Radians
• Understand the general shapes of Periodic functions
• Understand and Apply Transformations of Periodic functions
• Sketch transformations of Periodic Functions
• Solve word problems using transformations of Periodic Functions

• Exam

• Accurate and successful completion of problems from the textbook.
• Improvement in Maths Mate results.

10B Maths – Term 4

Rate of Change

Calculus - Differentiation

• Understand the link between gradient, average rate of change, instantaneous rate of change and differentiation.
• Calculate the above terms
• Interpret rates of change in a variety of contexts
• Understand and apply the links between displacement, velocity and acceleration.

• Understand how to calculate the rate of change for a non-linear function.
• Understand Differentiation from 1st principles
• Understand and use Differentiation in a variety of contexts
• Apply the Product and Chain rule to a variety of problems. (Quotient rule is optional)
• Applications of Differentiation in word problems and sketching.

• Exam

• Accurate and successful completion of problems from the textbook.
• Improvement in Maths Mate results.