Indices, Exponentials and Logarithms
Index laws, scientific notation, exponential functions and logarithms.
Active lessons
11
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
11 of 11 active
Lesson 1
3A Review of Index Laws
Apply the index laws for multiplying, dividing and raising powers, and the zero index.
Lesson 2
3B Negative Indices
Interpret and evaluate negative indices using a^(-n) = 1/a^n.
Lesson 3
3C Scientific Notation
Write large and small numbers in scientific notation a x 10^n and convert back.
Lesson 4
3D Fractional Indices
Interpret fractional indices as roots and evaluate a^(1/n) and a^(m/n).
Lesson 5
3E Exponential Equations
Solve simple exponential equations by writing both sides with the same base.
Lesson 6
Exponential Functions
Recognise introductory exponential growth and decay rules using tables, points and simple graphs.
Lesson 7
3G Exponential Growth and Decay
Model growth and decay by repeated multiplication using a growth factor (1 + r) or decay factor (1 - r).
Lesson 8
3H Introducing Logarithms
Interpret a logarithm as the inverse of an exponential: the power a base is raised to.
Lesson 9
3I Logarithmic Scales
Interpret base-10 logarithmic scales (Richter, pH, decibels) where each unit is a factor of 10.
Lesson 10
3J Laws of Logarithms
Apply the product, quotient and power laws of logarithms.
Lesson 11
3K Solving Exponential Equations Using Logarithms
Solve exponential equations by recognising the solution as a logarithm.
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