IB Math AI SL 2.1 - Lines

IB Math AI SL 2.1 – Lines

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

Overview

This lesson introduces students to the equations and properties of straight lines in the coordinate plane. Students will learn how to identify, graph, and analyze linear relationships in multiple forms, including gradient-intercept, general, and point-gradient equations.

The slide deck includes clear definitions, worked examples, and visual explanations to help students understand gradients, intercepts, and the relationships between parallel and perpendicular lines.

Learning Objectives

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

• Graph linear equations using at least two points or known intercepts.
• Identify and interpret the gradient (slope) and y-intercept of a line.
• Derive the equation of a line in gradient-intercept, general, and point-gradient forms.
• Determine whether lines are parallel or perpendicular based on their slopes.
• Apply these concepts to solve problems involving line intersections and perpendicular bisectors.

What’s Included

• Fully editable PowerPoint slide deck.
• Step-by-step worked examples with solutions.
• Visual explanations of line equations and gradient concepts.
• “Fade-in” transitions for clear instructional pacing.
• Practice problems with guided solution steps.
• Tips for interpreting slope and intercepts in context.

Lesson Highlights

• Graphing lines using two points or intercepts.

• Understanding slope as rate of change.

• Exploring multiple equation forms:

  • Gradient-intercept form: ( y = mx + c )
  • General form: ( Ax + By + C = 0 )
  • Point-gradient form: ( y - y_1 = m(x - x_1) )

• Solving problems such as:

  • “Find the equation of a line passing through (0, 4) and (3, 2).”
  • “Find the line perpendicular to ( y = -2x + 1 ) that passes through (2, 4).”

Why You’ll Love It

• Clear, structured explanations for every concept.
• Fully aligned with IB Math AI SL Topic 2.1 – Functions: Lines.
• Ideal for classroom instruction or digital delivery.
• Editable and visually engaging slides designed for clarity.
• Builds conceptual understanding through problem-based learning.

Tags

IB Math AI SL, Functions, Lines, Gradient, Slope, Intercept, Parallel Lines, Perpendicular Lines, Coordinate Geometry, Equation of a Line, Teaching Slides, IB Curriculum, Editable PowerPoint