Cubic Graphs | I Do, We Do, You Do | Year 10 Maths Higher | Print Free

Deepen understanding of cubic graphs through missing coefficients, factorised roots and algebraic reasoning with this editable Year 10 Maths Higher PowerPoint. Project the lesson and keep the whole class working through modelling, mini-whiteboard checks and practice in exercise books. No photocopied worksheets are required.

Pupils recover missing coefficients from points, identify all intercepts of factorised cubics and interpret curves with three roots. Further tasks combine simultaneous equations, reflections and reconstruction of an equation from its roots and another point. The emphasis is on different mathematical decisions, not simply larger numbers.

WHAT IS INCLUDED
• One editable 75-slide PowerPoint with questions and answers.
• Six retrieval questions and six prerequisite checks, each with grouped answers.
• Key vocabulary, graph-family comparisons and a visual explanation of intercepts.
• A compact I Do / We Do page with three matched pairs and space for live teacher working.
• Separate worked solutions, including plotted curves and labelled intercept sketches where requested.
• Twenty individual AFL questions, each immediately followed by its answer.
• A 24-question whole-class practice page using four shared graphs, plus one-page answers.
• Developing, Secure and Greater Depth questions together with one Super Challenge on a single slide.
• Twenty numbered differentiated questions, grouped answers and a separate worked plotting graph.
• Two misconception checks with corrections.
• An original exam-style question with suggested marks and worked answers.
• Three exit questions, each followed by its answer.

PRINT FREE AND PRACTICAL
Short AFL questions ask pupils to calculate, identify, explain or read a displayed graph, so they suit mini whiteboards. Longer plotting tasks provide tables of values for pupils to use in their exercise books. Table entries that pupils must complete are left blank. Clear square grids and compact headings support projection while keeping useful working space available.

TEACH, CHECK AND PRACTISE
Use the paired examples to demonstrate a method and then involve the class in a different example. Reveal the worked answers when needed. The practice page keeps related questions together, and the differentiated page lets pupils work at an appropriate level without changing the screen for every group.

CHALLENGE WITH A PURPOSE
The Super Challenge links the distance between the outer roots of y = x³ − kx to the value of k. Pupils find k for a given separation, investigate a doubled separation and explain why k quadruples. A worked solution connects the geometry of the intercepts to algebra.

READY TO ADAPT
Edit the slides to suit your class, select a practice route or revisit a misconception. The questions and suggested exam marks are original teaching materials, not an official examination paper.

Year 10 Unit 15, lesson 1, U980: Graphs of Cubic Functions. This is the Higher pathway. Created by Beyond Printables.