
Indices and Surds
This topic covers the laws of indices and surds, including rationalising the denominator. Students apply these laws to simplify expressions and solve equations.
About This Topic
This topic covers the laws of indices and surds, including rationalising the denominator. Students apply these laws to simplify expressions and solve equations.
Key Questions
- How do the laws of indices apply to fractional and negative powers?
- What is the process of rationalising a denominator?
- How can equations involving surds be solved?
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for Additional Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Algebra and Roots of Equations
Quadratic Functions and Inequalities
Students explore the conditions for a quadratic equation to have real, repeated, or no roots. They also learn to solve quadratic inequalities and find the maximum or minimum values of quadratic functions.
8 methodologies
Polynomials and Partial Fractions
Students learn to divide polynomials, apply the Remainder and Factor Theorems, and solve cubic equations. They also decompose rational expressions into partial fractions.
8 methodologies
Binomial Expansions
Students investigate the binomial theorem for positive integer powers. They learn to expand expressions and find specific terms within an expansion.
8 methodologies