IB Math AI SL 2.3 - Graphing Functions

IB Math AI SL 2.3 – Graphing Functions**

Topic: Functions
Level: IB Mathematics: Applications and Interpretation (SL)
File Type: Editable PowerPoint / Lesson Slide Deck

Overview

This lesson teaches students how to graph functions from algebraic equations, data tables, and technology outputs. Students explore how to plot points accurately, distinguish between sketching and drawing, and interpret real-world graphs, including parabolic motion and combined functions.

Through worked examples and visual guides, the deck emphasizes mathematical precision, scaling, and IB-compliant notation, helping students bridge the gap between conceptual understanding and practical representation.

Learning Objectives

By the end of this lesson, students will be able to:

• Plot and graph a function from a table of ordered pairs.
• Differentiate between draw (precise) and sketch (approximate) as defined in IB assessments.
• Identify key graph features: intercepts, turning points, asymptotes, and symmetry.
• Graph real-world functions (e.g., a football’s trajectory).
• Use technology to graph functions and analyze sums and differences of functions.

What’s Included

• Fully editable PowerPoint presentation.
• Step-by-step examples of graphing functions manually and with technology.
• Real-world modelling examples, such as parabolic motion.
• Clear distinction between “draw” vs “sketch” requirements on IB exams.
• “Fade-in” transitions for guided pacing.
• Practice problems and worked solutions with labelled axes and scales.

Lesson Highlights

• Graphing from Equations: Convert functions into tables of values and ordered pairs.

• Draw vs Sketch:

  • Draw → accurate, to scale, plotted with precision and labelled axes.

  • Sketch → approximate, showing general behaviour and key features.* Graphing Applications:

  • Football trajectory problem: ( h(x) ) vs ( x ) using scaled axes.

  • Identifying intercepts, asymptotes, and turning points.

• Combining Functions: Graphing sums and differences like ( f(x) + g(x) ) or ( f(x) - g(x) ).

Why You’ll Love It

• Perfectly aligned with IB Math AI SL Topic 2.3 – Graphing Functions.
• Visually clear and formatted for direct classroom delivery.
• Encourages conceptual understanding of graph behaviour and key features.
• Integrates algebraic, graphical, and technological approaches.
• Editable, teacher-friendly design ideal for both in-person and online lessons.

Tags

IB Math AI SL, Graphing Functions, Draw vs Sketch, Function Graphs, Coordinate Geometry, Asymptotes, Turning Points, Function Sums, IB Curriculum, Lesson Slides, Editable PowerPoint