10B Maths – Term 1

Patterns and Algebra

Algebraic Fractions

Linear Equations

Simultaneous Solutions

1 / UNIT LEARNING GOALS:
  • Expand Algebraic Expressions
  • Expand Binomial Expressions
  • Expand Special Binomial Products
  • Factorise Expressions
  • Factorise Special Binomials
  • Understand and Apply Quadratic Factorisation.
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  • Apply Operations to Algebraic Fractions
  • Simplify Algebraic Fractions
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  • 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.
/ Assessment
  • Exam
Success Criteria:
  • Accurate and successful completion of problems from the textbook.
  • Improvement in Maths Mate results.
Key Verbs
Expand
Factorise
Simplify
Solve
Resources
New Q Maths 11B: Chapter 4
Chapter
Glossary: Expand, Factorise, Simultaneous Solution

10B Maths – Term 2

Patterns and Algebra

Quadratic functions

Graphical Representations

Index Laws

1 / UNIT LEARNING GOALS:
  • 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
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  • Understand and Apply the Index Laws to positive, negative and algebraic powers.
/ Assessment
  • Exam
Success Criteria:
  • Accurate and successful completion of problems from the textbook.
  • Improvement in Maths Mate results.
Key Verbs
Sketch
Solve
Factorise
Simultaneous Solution
Resources
New Q Maths 11B: Chapter 7
Glossary: Quadratic, Parabola, Turning Point, Min, Max

10B Maths – Term 3

Trigonometry

Periodic Functions

1 / UNIT LEARNING GOALS:
  • 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
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  • 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
/ Assessment
  • Exam
Success Criteria:
  • Accurate and successful completion of problems from the textbook.
  • Improvement in Maths Mate results.
Key Verbs
Solve
Calculate
Sketch
Convert
This unit contains significant amounts of Procedural Knowledge when learning about the transformations.
Resources
New Q Maths 11B: Chapter 2 and 9
Chapters 11-14
Glossary: Opposite, Adjacent, Hypotenuse, Elevation, Depression, Radians

10B Maths – Term 4

Rate of Change

Calculus - Differentiation

1 / UNIT LEARNING GOALS:
  • 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.
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  • 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.
/ Assessment
  • Exam
Success Criteria:
  • Accurate and successful completion of problems from the textbook.
  • Improvement in Maths Mate results.
Key Verbs
Calculate
Solve
Interpret
Resources
New Q Maths 11B: Chapter 6 and 8
Glossary: Differentiation, Instantaneous, Product rule, Chain rule