Solving Quadratic Equations Graphically | I Do, We Do, You Do | Year 9 Maths | Print Free

Teach pupils to solve quadratic equations from detailed graphs, with no worksheets to print or grids to copy. This editable 135-slide Year 9 maths PowerPoint combines clear modelling, substantial practice and complete answers. Pupils read the projected graphs and give written responses in exercise books or on mini whiteboards.

DETAILED GRAPHS, READY TO TEACH
Large supplied curves, fine grids and labelled axes support accurate estimates. Required straight lines are already shown for intersection questions. Multiple questions use each graph, keeping the focus on interpreting and solving equations.

I DO, WE DO, YOU DO
A shared-graph modelling page has three matched I Do / We Do pairs and space for teacher working. Further modelled examples use the same large-graph layout and progress from x-axis crossings to horizontal levels, sloping lines and rearranging equations. Worked solutions identify the relevant line and show how intersections give the answers.

PLENTIFUL PRACTICE
• A one-page task offers 24 questions from one detailed graph.
• Three further practice pages each contain 16 equations, including positive and negative quadratics.
• Four minimally different practice pages each contain 12 questions, helping pupils compare related curves.
• Additional graph-reading tasks develop confidence with coordinates, roots, turning points and symmetry.

ONE-PAGE DIFFERENTIATION
A single page brings together eight Developing, six Secure and four Greater Depth questions around one detailed graph. Further differentiated practice extends into sloping-line intersections, rearranging equations, symmetry, missing values and explaining the number of solutions. Answers are included throughout.

CHECK UNDERSTANDING
Six retrieval questions and six prerequisite questions have grouped answers. Twenty short AFL questions follow a question-and-answer sequence and suit mini whiteboards. Pupils state solutions, choose a line or give a brief explanation. A misconception check addresses confusing x- and y-coordinates, while a six-mark exam-style question and three exit checks support assessment.

GREATER DEPTH AND SUPER CHALLENGE
Reasoning tasks ask pupils to use symmetry to find missing roots, connect root separation to a horizontal level and justify when equations have no, one or two real solutions. The Super Challenge has its complete solution on one slide.

YOUR DOWNLOAD
One editable PowerPoint containing the teaching slides, activities and answers. Created by Beyond Printables for Year 9, Unit 18, U601: Solving Quadratic Equations Graphically.