Unit 2 • Lesson 05 of 05 Solving Exponential (Indicial) Equations Grade 11 Mathematics • G.C.E. O/L Sri Lanka Local Syllabus Learning Objectives Solve exponential equations where the unknown variable is in the exponent by equating prime bases. Solve indicial equations involving fractions, roots, and multiple exponential terms. Solve power equations where the unknown variable…
Unit 2 • Lesson 04 of 05 Simplifying Complex Algebraic Expressions Grade 11 Mathematics • G.C.E. O/L Sri Lanka Local Syllabus Learning Objectives Combine positive, negative, and fractional indices in multi-step algebraic simplifications. Convert composite numerical bases (\(4, 8, 9, 16, 25, 27, 32\)) into prime factors before applying index laws. Convert radical (root) expressions…
Unit 2 • Lesson 03 of 05 Fractional Indices (Roots & Powers) Grade 11 Mathematics • G.C.E. O/L Sri Lanka Local Syllabus Learning Objectives Interpret unit fractional exponents (\(a^{\frac{1}{n}}\)) as \(n^{\text{th}}\) roots (\(\sqrt[n]{a}\)). Evaluate general fractional powers (\(a^{\frac{m}{n}}\)) and negative fractional powers (\(a^{-\frac{m}{n}}\)). Use prime factorization to simplify fractional exponents without a calculator. Fractional Index…
Unit 2 • Lesson 02 of 05 Negative Indices & Reciprocals Grade 11 Mathematics • G.C.E. O/L Sri Lanka Local Syllabus Learning Objectives Understand the meaning of a negative index as the reciprocal of a positive power. Rewrite algebraic expressions with negative indices using positive indices only. Evaluate numerical expressions and fractions raised to negative…
Unit 2 • Lesson 01 of 05 Recap of Basic Index Laws & Zero Index Grade 11 Mathematics • G.C.E. O/L Sri Lanka Local Syllabus Learning Objectives Recall and apply the five fundamental laws of indices introduced in Grade 10. Understand and apply the zero index rule (\(a^0 = 1\), where \(a \neq 0\)). Simplify…
Grade 11 Mathematics • G.C.E. O/L Sri Lanka Local Syllabus Unit 2: Indices and Logarithms I — Complete Lesson Roadmap Master zero, negative, and fractional indices, prime-base algebraic simplification, and exponential equations with step-by-step worked examples. About This Unit Indices and Logarithms I builds directly on Grade 10 index laws to introduce negative and fractional…