Indices

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Indices

Number: Interactive Lessons
GCSE Mathematics lesson on fractional powers and indices featuring Evaluate, Simplify, and Prove tasks. Examples include simplifying (x^6w^10/25)^(3/2) using fractional index laws and evaluating 2^3 × 8^(2/3) √8. This differentiated approach builds fluency with rational exponents, surds, and index notation. Perfect for Edexcel, AQA, OCR GCSE maths students mastering fractional indices, powers of fractions, and algebraic simplification.
Ages 14 - 16

Indices with Fractional Powers

Complete GCSE maths lesson and worksheet on fractional indices.
Number: Interactive Lessons
Highest Common Factor and Lowest Common Multiple
Ages 14 - 16

Highest Common Factor and Lowest Common Multiple

Students learn how to use prime factors to work out the HCF and LCM.
Number: Interactive Lessons
GCSE Mathematics lesson on negative powers and indices featuring three skill levels: Evaluate (writing 1/32 as a power of 2), Simplify, and Prove (showing that (2x^-3)^-2 equals x^6/4). This differentiated approach helps students master negative index laws through progressive problem-solving. Suitable for Edexcel, AQA, OCR GCSE maths students learning laws of indices, exponent rules, and algebraic manipulation with negative powers.
Ages 14 - 16

Indices with Negative Powers

Complete GCSE maths lesson and worksheet on negative powers.
Number: Interactive Lessons
Prime Factorisation Lesson
Ages 14 - 16

Prime Factor Decomposition

Students learn how to break down a number using its prime factors.
Number: Interactive Lessons
Rationalising Denominators
Ages 14 - 16

Rationalising Denominators

Students learn how to rationalise denominators of simple fractions.
Number: Interactive Lessons
Rules of Indices
Ages 14 - 16

Rules of Indices

Students learn how to simplify expressions using the rules of indices.
Number: Interactive Lessons
Calculations With Standard Index Form
Ages 14 - 16

Calculations With Standard Index Form

Students learn how to calculate with numbers written in standard form.
Number: Interactive Lessons
GCSE mathematics question asking students to order numbers from smallest to largest. Four numbers shown in different formats: 2.71 × 10³, 27.1 × 10⁻³, 271 × 10², and 0.00271. Students must convert between standard form and ordinary numbers to compare their sizes. Practice question for Edexcel, AQA, OCR GCSE maths students learning scientific notation and powers of 10.
Ages 14 - 16

Writing Numbers in Standard Index Form

Students learn how to write ordinary numbers in standard form using place value.
Number: Interactive Lessons
Calculations with Surds
Ages 14 - 16

Calculations with Surds

Students learn how to expand a pair of brackets with surds.
Number: Interactive Lessons
Simplifying surds GCSE maths example with a square root expression and finding m
Ages 14 - 16

Simplifying Surds

Students learn how to simplify surds using square factors
Number: Free Resources
Adding and Subtracting in Standard Form
Ages 14 - 16

Adding and Subtracting in Standard Form

Students learn how to solve addition and subtraction problems involving standard form.
Number: Interactive Lessons
Writing small numbers in Standard Form
Ages 11 - 13

Writing small numbers in Standard Form

Students learn how to convert between ordinary and standard form for numbers less than 1.
Number: Interactive Lessons
Large Numbers in Standard Form
Ages 11 - 13

Large Numbers in Standard Form

Students learn how to convert between large numbers written in ordinary and standard form.
Number: Interactive Lessons
Indices with Negative Powers
Ages 11 - 13

Indices with Negative Powers

Students learn how to write indices with negative powers as fractions.
Number: Interactive Lessons
Interactive KS3 Mathematics slide preview for Rules of Indices showing a matching expressions activity with algebraic powers, multiplication, and division laws.
Ages 11 - 13

Simplifying numbers written in index form

Students learn how to use the multiplication and division rules to simplify numbers written in index form.
Number: Interactive Lessons
Rationalising Denominators using the Complex Conjugate
Ages 16 +

Rationalising Denominators using Conjugate Pairs

Students learn how to rationalise a denominator using the complex conjugate.

Mr Mathematics Blog

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