Linear graphs

Seven lessons on linear graphs:

• Sketching linear graphs using a table on values with clear explanations, differentiated main activity and dominoes extension/group task.

• Sketching linear graphs using the y-intercept and the gradient with clear visual examples. Also covers horizontal and vertical graphs. Bingo to assess students' knowledge of linear equations. Link to VariationTheory.com sketching questions.

• Solving simultaneous equations graphically has visual explanations based on sketching linear graphs using the y-intercept and gradients. As usual, this lesson features a differentiated main activity.

• Parallel and perpendicular graphs features a multiple choice activity for students to compare parallel and perpendicular gradients, following an investigative starter tasks. Clear explanations and differentiated main task (5 questions on parallel graphs and 5 on perpendicular graphs).

• Midpoint of a line segment also covers finding the equation of a perpendicular bisector of a line segment too.

• Equation of a line from a graph has several examples on finding equations from diagrams followed by a differentiated main task.

• Equation of a line from two coordinates is broken down into first finding the gradient from two coordinates, then looks at substituting the gradient and a coordinate into y = mx + c to find the equation of the line. Plenary is a "spot the mistake" task to encourage discussion.