Indices and Surds
Index notation and laws, the zero and negative indices, scientific notation, and an introduction to surds.
Active lessons
9
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
9 of 9 active
Lesson 1
Index Notation
Read and evaluate numbers in index (power) notation.
Lesson 2
Index Laws for Multiplying and Dividing
Multiply and divide powers with the same base by adding or subtracting indices.
Lesson 3
The Zero Index and Power of a Power
Use the zero index (a⁰ = 1) and the power-of-a-power law.
Lesson 4
Index Laws Extended
Apply the index laws to products and quotients raised to a power.
Lesson 5
Negative Indices
Use negative indices: a⁻ⁿ = 1/aⁿ.
Lesson 6
Scientific Notation
Write numbers in scientific notation a × 10ⁿ and convert back.
Lesson 7
Scientific Notation Using Significant Figures
Round numbers to significant figures and write them in scientific notation.
Lesson 8
Fractional Indices and Surds
Interpret fractional indices as roots: a^(1/n) is the nth root.
Lesson 9
Simple Operations with Surds
Simplify surds, add like surds and multiply surds.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.