Vertex of a Parabola – Graphing and Understanding Quadratics

Description:

This visually engaging Doodle Note worksheet introduces students to the vertex form of a quadratic function and guides them through the process of graphing a parabola based on the function
𝑓(𝑥)=−𝑥^2+4𝑥

Students explore:
- How to find the vertex (via symmetry and formula: 𝑥=−𝑏/2𝑎 )
- How to calculate key values (y-intercept, x-intercepts, vertex)
- How to plot a table of values and draw the graph
- The shape and direction of a parabola depending on the coefficient of 𝑥^2

This activity exemplifies CLIL by:
- Integrating mathematics content with structured English-language output
- Encouraging visual and analytical understanding of functions
- Supporting learners’ ability to explain mathematical procedures and reasoning in English

The worksheet fits the goals of Kerndoelen 25 and 27, where students:
- Learn to interpret and represent functional relationships with formulas and graphs
- Visualize and critically assess mathematical patterns and outcomes

It supports progression from BICS to CALP through:
- Guided mathematical language use (e.g., “y-intercept,” “vertex,” “symmetry”)
- Encouraging conceptual understanding and verbal explanation in the target language