Looking for a clear and student-friendly way to introduce reciprocal functions? This guided learning pack and practice worksheet builds from reciprocals to reciprocal functions of the form f(x)=k/x, focusing on domain and range, asymptotes, and sketching graphs (including the effect of k). Students then apply reciprocal models to real-life inverse proportion word problems

Topics Covered

✅ Reciprocals of numbers and algebraic expressions

✅ The reciprocal function f(x)=k/x and the role of k

✅ Domain and range of reciprocal functions

✅ Asymptotes of k/x and their definition

✅ Sketching reciprocal graphs and key features

✅ Self-inverse property of reciprocal functions

✅ Real-life modelling with reciprocal functions (inverse proportion problems)

What’s Included

❗ Learning Pack with Theory and Key Concepts

❗️Guided Notes (fill-in-the-blank style) to reinforce knowledge

❗Clear explanations of key concepts and graph features

❗️Practice questions on reciprocals and reciprocal algebra

❗️Graph sketching practice for f(x)=k/x with asymptotes labelled

❗️Real-life word problems using reciprocal models

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

Make teaching simple, structured, and effective with this all-in-one resource!

P.S. If you spot a mistake, please email simplemathematicsforall@gmail.com directly before leaving a bad review! Thank you.

*My products are aligned to, but not affiliated with, the IB Diploma Programme