Several lessons on linear graphs:​

• Horizontal and vertical graphs, both identifying and sketching them.

• 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.

• Sketching implicit equations of graphs, using x=0 and y=0. Four examples and a differentiated main task.

• 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.

• Modelling with linear graphs has lots of annotations on each slide but, as ever, it would be more helpful for you to write these on yourself rather than clicking through. There's an AfL task for you to check understanding, then a large worksheet with adapted exam-style questions.