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Substitution Teacher Resources
A complete set of substitution resources for Years and Grades 8 to 10, mapped to the Australian Curriculum v9.0 and aligned with common US scope and sequence. Move from substituting whole numbers into simple expressions, through evaluating formulas with negative and fractional values, to using substitution as a method for solving equations and simultaneous equations in the senior years.
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What's Included in the Substitution Resources
🔥Curriculum Aligned
Every unit is mapped to the Australian Curriculum v9.0 algebra strand and the equivalent US scope and sequence, so substitution slots into your existing planner. Each pack covers substituting positive and negative values, working with brackets and order of operations, and substituting into formulas from science, sport and finance.
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🌍 Differentiated for Students
The resources give you differentiated entry points for the same lesson. Students new to algebra substitute whole numbers into one-step expressions, mid-range students work through multi-step expressions with brackets and powers, and stretch students apply substitution to rearrange formulas and check solutions to simultaneous equations.
💡Incredible Teacher Resources
The resources are editable, so you can swap in your own contexts, adjust the language for your year or grade level, or scale the difficulty up or down. The same pack works for first teach, revision, intervention or extension — you choose the slice that fits the lesson.
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Interactive Resources
Practice Questions
You get the full teacher set in one place: lesson plans with worked examples, printable worksheets with answer keys, slide decks for whole-class teaching, formative and summative assessments, and a question bank you can pull from for homework or starters.
Structured Solutions
Differentiated Questions
Every resource ships with worked solutions, common misconception notes (sign errors when substituting negatives, dropping brackets, confusing the value with the variable), and short check-for-understanding tasks so you can spot gaps before the unit assessment.
Real-World Applications
Engaging Exercises
Tasks span concrete to abstract: number-line warm-ups, applied problems from physics formulas and budgeting, and proof-style tasks where students substitute back to verify their solution. Scaffolds keep students who are still building fluency on track while extension prompts push capable students toward harder material.
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What's Covered in the Substitution Resources
Substituting Values Into Expressions in Year 8
Substituting Into Formulas in Year 9
Substitution as a Solving Method in Year 10
For students meeting algebraic substitution for the first time, the resources build the foundations: substituting whole numbers into one- and two-step expressions, handling brackets and order of operations correctly, and reading the difference between a variable and its value. Lesson plans, worksheets and slide decks include worked examples, short formative checks and misconception notes covering the most common Year 8 errors — sign mistakes, dropped brackets, and treating 2a as 2 plus a rather than 2 times a. Each resource is mapped to the algebra content descriptors so you can show parents and leaders exactly what students are working on.
For Year 9 students, the resources extend substitution from clean whole numbers into negative numbers, fractions, decimals and powers. Students substitute into formulas drawn from real subjects — speed, density, area and volume, simple interest, the Pythagorean theorem — so they see substitution as a working tool rather than a procedure. The packs include lesson plans, slide decks, practice worksheets and short assessments with answer keys, plus stretch tasks where students rearrange a formula before substituting and explain why the rearrangement was needed.
For Year 10 students, the resources move substitution into its second role — solving equations and simultaneous equations by substitution. Students rearrange one equation for a variable, substitute into the second, solve, and substitute back to verify. The same packs cover substituting into quadratic expressions, evaluating function values, and checking solutions to inequalities. Each resource includes a lesson plan, slide deck, problem-set worksheets, an end-of-unit assessment and an extension task pitched at students heading into senior maths.
Teachers Save Hours With the Substitution Resources