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Rates of Change•
Real Life Graphs

Estimating Rates of Change (A) WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 8-9
Prerequisite knowledge: Drawing tangents, finding gradients of straight lines.
Learning Objective: To be able to draw a tangent or chord to a curve and calculate the instantaneous or average rate of change.

Estimating Rates of Change (A) WORKSHEET DESCRIPTION

This worksheet is designed to give practice in finding instantaneous and average rates of change via a tangent or chord to a curved graph Learners will need to draw the tangents and chords before finding the gradient.

Section A provides two curved functions and asks for the gradient of tangents at specific points.

Section B looks at comparing an instantaneous rate of change from a tangent with an average rate of change from a chord.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Estimating Rates of Change suitable for students in KS4

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Frequently Asked Questions

Students should be comfortable with drawing tangents to curves and finding gradients of straight lines before tackling this resource. These foundational skills are essential because learners will need to construct accurate tangents and chords on the given curved functions, then apply their gradient-finding techniques to calculate the rates of change.