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Functions and Relations Teacher Resources
Curriculum-aligned functions and relations resources teachers can pull straight into a senior algebra lesson — mappings, domain and range, function notation, linear and non-linear functions, and graph transformations. Lesson plans, worksheets, question banks, slide decks and assessments, all editable so you can match the language and pace of your class.
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What’s Included in the Resources for Functions and Relations?
🔥Curriculum Aligned
Functions and relations sit at the point where students stop treating algebra as procedural arithmetic and start treating it as a model of how one quantity depends on another. These resources are mapped against the functions and relations strand of your curriculum — relations, functions, domain and range, function notation, and the connection between an equation, a table and a graph.
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🌍 Differentiated for Students
Functions land harder when students see what they are modelling. The resources include real-world contexts — distance and time, cost and quantity, population growth, area and dimension, scientific formulas — so students see a function as a tool for describing a relationship, not a piece of notation to memorise.
💡Incredible Teacher Resources
The resources include scaffolded prompts for students who are still building fluency with the function concept, and stretch prompts for students ready to handle piecewise functions, composite functions, inverse functions and transformations of graphs. The same lesson can serve a wide range of prior knowledge without extra prep.
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Interactive Resources
Practice Questions
Every concept is broken down with worked examples and step-by-step solutions — how to test the vertical-line rule, how to read function notation, how to find the domain and range of a function from its rule or its graph, and how to compose and invert functions. Visual representations sit alongside the algebra to support students who think in pictures first.
Structured Solutions
Differentiated Questions
Every topic ships with graded question banks — fluency drills for testing whether a relation is a function, applied problems for working with domain and range in context, and stretch questions on function notation, composition and inverses. You can run them as starters, exit tickets, homework or full lessons without rebuilding the practice set each time.
Real-World Applications
Engaging Exercises
Each context comes with scaffolded problems that move students from a worded scenario, to a mapping or table, to a function rule and its graph. You can use them as discussion prompts, paired tasks or assessment items without writing the scaffold yourself.
Access Your Functions and Relations Resources Today
"These Functions and Relations Resources Save Me Hours Every Week"
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What's Covered in the Functions and Relations Resources
Relations, Functions, Domain and Range
Function Notation, Linear and Non-Linear Functions
Composite Functions, Inverse Functions and Transformations
The foundation resources cover the difference between a relation and a function, mappings, ordered pairs, the vertical-line test, and how to find the domain and range of a relation from a table, a set of ordered pairs or a graph. Lesson plans walk through the misconceptions teachers see most often — students treating any rule as a function, confusing input with output, or struggling to read domain and range off a graph — and the practice sets give students enough reps to fix them. Slide decks, worksheets, exit tickets and unit assessments are all editable, so you can adjust the wording, swap in your own contexts or scale the difficulty up or down for the class in front of you.
The function notation resources move students from y = to f(x) and show why the change matters — substituting values into a function, evaluating f(2) versus f(x+2), and reading function notation off a graph. Coverage includes linear, quadratic, exponential and absolute-value functions, gradient and intercepts, function rules from tables, and the connection between transformations of a graph and changes to the function rule. Worked examples, paired tasks and assessment items build students' fluency with multiple representations, and the slide decks include graphing demonstrations that work just as well on a board or projected from a tablet.
The senior resources cover composite functions, inverse functions, piecewise functions and transformations of graphs — vertical and horizontal translations, dilations and reflections, and how each one shows up in the function rule. Each topic has graded question banks that mirror the kinds of problems students see in school exams and standardised assessments, with fully worked solutions teachers can hand out or hold back. The same resources work for revision, intervention, extension or first teach — you choose the slice that fits the lesson.
Teachers Save Hours With These Functions and Relations Resources