Teaching straight-line graphs in GCSE coordinate geometry can be challenging, from plotting basics to advanced concepts like gradients, parallel and perpendicular lines, and deriving equations. My video tutorials help mathematics teachers boost subject knowledge, save lesson planning time, and support professional development.
Each tutorial offers clear explanations, step-by-step solutions, and exam-style questions ready for classroom use. These resources make it easier to teach straight-line graph properties while keeping students engaged and ensuring a solid understanding of coordinate geometry.
Explore my latest videos to enhance your teaching, build confidence, and simplify lesson preparation.
Students learn how to plot straight-line graphs using a results table.
As learning progresses, they begin to identify how to properties of the line are determined by the equation.
Students learn how to work out the gradient of straight-line graphs.
Later, as learning progresses, they use the gradient to solve real-life problems.
Students learn how to find the equation of a straight-line graph by identifying the gradient and y-intercept or using two points.
They practice using the formula y = mx + c and rearranging equations. Later, they work with different equation forms, including ax + by = c.
Students learn to visualise straight-line graphs with the same gradient.
Later, as learning progresses, they work out the equation of parallel lines using a coordinate pair.
Students learn how to work out the gradient of perpendicular straight-line graphs.
Later, as learning progresses they are challenged to derive the equation of perpendicular graphs in the form y = mx + c.
Students apply coordinate geometry to solve problems involving shapes and lines. They begin by identifying properties of rhombuses and kites, finding intersection points, and determining line equations.
As the lesson progresses, they tackle more complex tasks, including finding intersections, deriving equations, and solving multi-step problems.
Students learn how to plot straight-line graphs using a results table.
As learning progresses, they begin to identify how to properties of the line are determined by the equation.
Students learn how to work out the gradient of straight-line graphs.
Later, as learning progresses, they use the gradient to solve real-life problems.
Extending transformations beyond shapes on a grid
Equation of Straight Line Graphs
Students learn how to find the equation of a straight-line graph, identifying the gradient and y-intercept or working from two coordinates, and applying the formula y = mx + c.
As learning progresses, students rearrange equations between forms, including ax + by = c, and apply their skills to exam-style problems involving parallel lines and unknown coordinates.
Students learn to visualise straight-line graphs with the same gradient.
Later, as learning progresses, they work out the equation of parallel lines using a coordinate pair.
Equation of Straight Line Graphs
Students learn how to work out the gradient of perpendicular straight-line graphs.
Later, as learning progresses they are challenged to derive the equation of perpendicular graphs in the form y = mx + c.
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In this lesson, students learn how to find midpoints, line equations, and intersections using coordinate geometry.
Later, they tackle complex problems involving properties of shapes like kites and rhombuses, calculating perpendicular bisectors, and finding missing constants in straight-line equations.
Related Blogs: Equation of Perpendicular Lines
Additional practice plotting straight-line graphs.
The problem-solving activity challenges students to find the area of two intersecting lines.
Additional practice finding the gradient of straight-line graphs.
The problem-solving activity connects gradients to the properties of a parallelogram.
Additional practice finding the equation of straight-line graphs in the form y = mx + c.
The problem-solving activity challenges students to work out the equation of a line between two fixed points.
Students are challenged to solve various problems involving straight-line graphs.
Five problems link to the area, midpoints, gradients and solving equations
Students revise how to plot straight line graphs in the form y = mx + c.
Later, as learning progresses, students need to rearrange the equation into a more convenient form.
Extending Transformations Beyond Shapes on a Grid
Equation of Straight Line Graphs
Revision Hub
Browse the Mr Mathematics Revision Hub for more maths revision lessons organised by topic and GCSE grade.
Students learn how to find the equation of parallel and perpendicular lines in the form ax + by + c = 0.
Later, as learning progresses, they link this to problems involving Pythagoras' Theorem and ratio.
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