Lesson Plan: Powers and Roots (1.3)

Section	Details
Objective	Recall and calculate squares (1–15²), cubes (1³–10³), and their corresponding roots.
Activities	– Starter (5 mins): Quick-fire oral quiz on squares up to 12². – Main (30 mins): Teach squaring and cubing, and their inverse operations (square roots, cube roots). Use calculator practice and estimation for roots. Solve problems like √169, cube root of 125. – Plenary (5 mins): Memory challenge: students recall squares 1–15 and cubes 1–10.
Resources	Multiplication chart, calculator, worksheets with square/cube exercises.
Time	40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary).
Homework	Memorize square numbers 1–15 and cube numbers 1–10. Write their roots.
Assessment	Worksheet with problems on squares, cubes, and roots.
Past Paper Practice	“Write down the value of √169.”

Section	Details
Objective	Calculate with fractional indices and higher powers (e.g., x12,x23,x−1x^{\frac{1}{2}}, x^{\frac{2}{3}}, x^{-1}).
Activities	– Starter (5 mins): Recap: ask students to compute 3², ³√27. – Main (30 mins): Teach laws of powers with examples (e.g., 512=√55^{\frac{1}{2}} = √5, 823=(3√8)28^{\frac{2}{3}} = (³√8)²). Practice exercises step by step. – Plenary (5 mins): Class quiz: simplify or evaluate fractional powers.
Resources	PowerPoint slides, calculator, worksheets with mixed fractional index problems.
Time	40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary).
Homework	Solve 10 problems on fractional indices (e.g., 1634,2723,811216^{\frac{3}{4}}, 27^{\frac{2}{3}}, 81^{\frac{1}{2}}).
Assessment	Worksheet: simplify expressions with fractional powers.
Past Paper Practice	“Work out 5835^{\frac{8}{3}}.”