Description
This Functions Bundle is a complete, student-friendly set of six printable guided learning packs and practice worksheets designed to build strong foundations across the core “functions” skills students need for success. Students progress step by step from the basics of relations and functions to more advanced concepts such as composite and inverse functions. Each worksheet includes guided notes, clear explanations, worked examples, visual representations and structured practice that helps learners make sense of abstract ideas and apply them confidently in exam-style questions
Topics Covered
✅ Relations vs. functions using ordered pairs, mapping diagrams, mapping tables, and the vertical line test
✅ Functional notation and substitution
✅ Domain and range of functions (interpreting both algebraically and graphically)
✅ Piecewise functions (practice with domain/range interpretation)
✅ Composite functions: forming, simplifying and evaluating composite functions step by step
✅ Iterated compositions and confident use of composite notation
✅ Domain and range restrictions in composite functions
✅ Representing composites using algebra, tables and graphs
✅ Real-life applications
✅ Challenge practice
✅ Inverse functions: understanding inverses, finding and sketching
✅ Verifying inverses using composition and linking inverses to domain and range
What’s included
❗ Worksheet 4.01: Relations and Functions
❗ Worksheet 4.02: Functional Notation and Substitution
❗ Worksheet 4.03: Domain and Range (plus Piecewise Functions)
❗ Worksheet 4.04 Part 1: Composite Functions (core skills)
❗ Worksheet 4.04 Part 2: Composite Functions with Domain/Range Restrictions + Challenge
❗ Worksheet 4.05: Inverse Functions
Perfect for
⭐ International Baccalaureate (IB) Mathematics: Analysis and Approaches (SL or HL foundation)
⭐ High School Math (Grades 10–12)
⭐ GCSE / IGCSE / A-Level preparation
⭐ Common Core-aligned Algebra and Precalculus classes
⭐ Reinforcing classroom lessons, homework or revision
⭐ Tutoring, independent study or test preparation
⭐ Substitute teachers looking for a ready-to-use, structured math lessons
BUNDLE: Functions (IB Math, Perfect for AA SL course and more)
Highlights
Description
This Functions Bundle is a complete, student-friendly set of six printable guided learning packs and practice worksheets designed to build strong foundations across the core “functions” skills students need for success. Students progress step by step from the basics of relations and functions to more advanced concepts such as composite and inverse functions. Each worksheet includes guided notes, clear explanations, worked examples, visual representations and structured practice that helps learners make sense of abstract ideas and apply them confidently in exam-style questions
Topics Covered
✅ Relations vs. functions using ordered pairs, mapping diagrams, mapping tables, and the vertical line test
✅ Functional notation and substitution
✅ Domain and range of functions (interpreting both algebraically and graphically)
✅ Piecewise functions (practice with domain/range interpretation)
✅ Composite functions: forming, simplifying and evaluating composite functions step by step
✅ Iterated compositions and confident use of composite notation
✅ Domain and range restrictions in composite functions
✅ Representing composites using algebra, tables and graphs
✅ Real-life applications
✅ Challenge practice
✅ Inverse functions: understanding inverses, finding and sketching
✅ Verifying inverses using composition and linking inverses to domain and range
What’s included
❗ Worksheet 4.01: Relations and Functions
❗ Worksheet 4.02: Functional Notation and Substitution
❗ Worksheet 4.03: Domain and Range (plus Piecewise Functions)
❗ Worksheet 4.04 Part 1: Composite Functions (core skills)
❗ Worksheet 4.04 Part 2: Composite Functions with Domain/Range Restrictions + Challenge
❗ Worksheet 4.05: Inverse Functions
Perfect for
⭐ International Baccalaureate (IB) Mathematics: Analysis and Approaches (SL or HL foundation)
⭐ High School Math (Grades 10–12)
⭐ GCSE / IGCSE / A-Level preparation
⭐ Common Core-aligned Algebra and Precalculus classes
⭐ Reinforcing classroom lessons, homework or revision
⭐ Tutoring, independent study or test preparation
⭐ Substitute teachers looking for a ready-to-use, structured math lessons
