Equating Bases: Indices Laws 5/5

Laws of Indices

Buy our complete Laws of Indices bundle for consistent lessons throughout the unit - at a discount. All lessons use the same structured approach which maximises modern pedagogy for Mathematics, and come with the same detailed Lesson Guide to ensure every teacher gets the most out of these deliberately structured lessons. **Lesson 1** focuses on multiplication and division with coefficients, introducing the product and quotient laws to establish that coefficients undergo standard arithmetic operations while exponents follow index laws. **Lesson 2** covers the power of a power law alongside special cases, explicitly addressing the structural definitions and boundary applications of identity and zero exponents. **Lesson 3** targets negative indices and reciprocals, isolating the negative exponent strictly as a reciprocal operator that inverts the base without altering its sign. **Lesson 4** details fractional indices, training students to treat the denominator as the root index and the numerator as the power while evaluating the root first to minimize calculation load. **Lesson 5** concludes the unit with equating bases and changing bases, requiring students to substitute composite integers with prime bases to solve complex exponential equations. **All lessons include as standard:** * Atomisation and check-teach-reteach sequences (NPPPN etc) for prerequisite skills and cognitive load management * Method modelling with teacher talk / metascripting prompts to maximise clarity of communication and mathematical formation * Expansion sequence mini-whiteboard sets using variation theory to stretch and survey the topic schema * Worksheet type interleaved deliberate practice with intentional development and progression - with a Live Marking Key to carry during circulation * Exam style question unaided deliberate practice * Slides to work through (powerpoint, fully editable), with answers and directions in the Notes sections * A Lesson Guide which explains the pedagogy and is packed with tips and misconceptions to watch for: this also allows for teaching parts of the lesson from a Visualiser by becoming a desk companion Not sure yet? The [first unit is a free download](https://www.tes.com/teaching-resource/resource-13488978).