Graphs

Master CSEC graphs — linear functions and their graphs, equations of straight lines, length and midpoint, linear systems and inequalities, linear programming, quadratic graphs and the completed-square form, other non-linear graphs, kinematics graphs, and variation. Each lesson has worked examples, diagrams and practice.

21 lessons

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Curriculum

Linear Functions and Their Graphs

📄Linear Functions and Their Graphs
📄Intercepts of a Straight Line
📄The Gradient of a Straight Line

Equations of Straight Lines

📄Finding the Equation of a Straight Line
📄Parallel and Perpendicular Lines

Length and Midpoint

📄Length and Midpoint of a Line Segment

Linear Systems and Inequalities

📄Solving Linear Systems Graphically
📄Linear Inequalities in One Variable
📄Linear Inequalities in Two Variables

Linear Programming

📄Constraints and the Feasible Region
📄Optimising an Objective Function

Quadratic Graphs

📄Drawing a Quadratic Graph
📄Reading a Quadratic Graph
📄Gradient at a Point and Intervals

The Completed-Square Form

📄Axis of Symmetry and Max or Min from a(x + h)² + k
📄Sketching and the Number of Roots

Other Non-Linear Graphs

📄Graphs of y = axⁿ (n = −1, −2, +3)

Kinematics Graphs

📄Distance-Time Graphs
📄Speed-Time Graphs and Acceleration

Variation

📄Direct Variation
📄Inverse Variation