Interpreting Quadratic Graphs | I Do, We Do, You Do | Year 9 Maths | Print Free

Help pupils read quadratic graphs confidently and explain what their features mean. This editable 110-slide Year 9 maths PowerPoint combines clear modelling, substantial practice and reasoning, with answers throughout. Designed for whole-class projection, it needs no printed worksheets: pupils respond in exercise books or on mini whiteboards.

WHAT PUPILS LEARN
• Read x- and y-intercepts and identify roots.
• Find turning points, maximum and minimum values, and equations of lines of symmetry.
• Use symmetry to find missing coordinates and roots.
• Decide how many solutions a horizontal line produces.
• Interpret height–time graphs, including initial height, maximum height and landing time.
• Explain how reflections in the x- and y-axes change a graph’s features.

STRUCTURED TEACHING
Six retrieval questions and six prerequisite checks have grouped answers. Three matched I Do / We Do pairs use different examples, with a six-question modelling overview, enlarged graphs and worked solutions. Further examples connect symmetry, quadratic recognition and real-life interpretation.

Twenty short AFL questions each lead straight to an answer slide. These are designed for mini whiteboards, with quick readings, calculations, choices and explanations. Pupils are not asked to draw graphs for AFL.

SUBSTANTIAL PRACTICE AND DIFFERENTIATION
A one-page practice task uses six curves across three shared grids. Six prompts for every curve give 36 response parts covering turning points, symmetry, intercepts and intersections. Complete answers follow, and additional short practice provides further options.

The one-page differentiated task brings Developing, Secure, Greater Depth and one Super Challenge together. Greater Depth includes the original reasoning questions plus reflection extensions: pupils revisit all six Developing questions after reflection in the x-axis and all five Secure questions after reflection in the y-axis. Worked answers show how the coordinates, roots, extrema, symmetry lines and inequalities change. Additional enlarged tasks remain available for teachers who prefer to use them separately.

CHECK UNDERSTANDING
A dedicated misconception check distinguishes the minimum value from its x-coordinate and the line of symmetry. A six-mark exam-style question includes a worked answer and mark allocation. Three exit checks help assess what pupils can do independently. 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, U667: Interpreting Graphs of Quadratic Functions.