Formulae and Equations
Substitution into practical formulae, contextual equations, changing the subject, units and reasonableness.
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
Substitution, Formulae and Equations
Substitute into practical formulae, solve simple contextual equations, and interpret answers with units.
Lesson 2
Changing the Subject of a Formula
Rearrange practical formulae using inverse operations, including cost, area, circumference and temperature formulae.
Lesson 3
Solving Linear Equations
Use inverse operations to solve one-step, two-step and bracket equations, including equations with unknowns on both sides, in practical contexts.
Lesson 4
Non-linear Models in Context
Evaluate non-linear formulas involving squares and square roots, and recognise when a relationship is quadratic rather than linear.
Lesson 5
Simultaneous Equations
Set up and solve pairs of practical linear equations to find where two models give the same output, such as equal-cost or break-even situations.
Lesson 6
Inequalities in Context
Read, set up and solve linear inequalities using correct notation, and interpret solutions as maximum or minimum values in practical constraint problems.
Lesson 7
Formulae and Equations Exam Practice
Practise mixed formula and equation questions involving substitution, rearranging, units and reasonableness.
Lesson 8
BAC Formulas and Medication Dosage
Apply the BAC formulas for males and females, calculate time for BAC to reach zero, identify limitations, and use Fried's, Young's and Clark's formulas to calculate medication doses.
Lesson 9
Formulas and Equations Revision
Activate Year 10 prior knowledge: inverse operations, substituting into expressions, solving linear equations and representing word problems algebraically.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.