Lesson Plan

• Describe the meaning of gradient, y‑intercept and x‑intercept on a straight‑line graph.
• Apply the slope‑intercept, point‑slope, two‑point and intercept forms to write equations of straight lines.
• Calculate the gradient from two given points and determine intercepts from a linear equation.
• Solve exam‑style problems that require converting between forms and interpreting intercepts.

• Whiteboard and markers
• Projector or interactive whiteboard
• Graph paper, rulers and calculators
• Printed worksheet with practice and exam questions
• Prepared slide deck showing key formulas and worked example

Begin with a quick real‑world example (e.g., a road gradient) to capture interest. Review the definition of gradient and the concept of intercepts that students have already met. Explain that by the end of the lesson they will be able to choose the appropriate line form, find gradients and intercepts, and solve typical exam questions.

1. Do‑now (5'): short quiz on gradient and intercept definitions; students write answers on mini‑whiteboards.
2. Mini‑lecture (10'): introduce the four standard forms of a straight‑line equation and when each is useful.
3. Guided example (15'): work through the provided A(2,5) & B(6,13) example, students complete each step on the worksheet.
4. Partner practice (15'): students solve two exam‑style questions, calculate gradient and intercepts, then compare answers.
5. Form‑conversion challenge (10'): convert a point‑slope equation to intercept form on the board, checking reasoning.
6. Summary check (5'): use the checklist to confirm understanding; teacher asks rapid‑fire questions.

Recap the steps for finding gradients and intercepts and emphasise the importance of choosing the right form. Students complete an exit ticket: write the equation of a line given a gradient and a point, then state its intercepts. For homework, finish the remaining worksheet problems and attempt the additional exam question on converting between forms.