Year 10 / GCSE · Maths
Algebra: Graphs
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Focus on straight line and curve graphs gcse. Start with “Estimate the Gradient of a Curve”, then explain the idea in your own words.
Year 10 / GCSE learners practise straight line and curve graphs gcse.
The activities include Estimate the Gradient of a Curve, Find Perpendicular Lines, Find the Area Under a Curve, and related practice. The checked support below includes video, teaching, worksheet, practice. Open a resource in its provider's website and choose the format that best helps the learner explain the idea independently.
Activities covered
- Estimate the Gradient of a Curve
- Find Perpendicular Lines
- Find the Area Under a Curve
- Find the Equation of a Line
- Find the Gradient Between Two Points
- Find the Midpoint
- Identify and Interpret the Significant Points of a Quadratic Graph
- Identify Parallel Lines
- Identify Transformations with Trigonometric Graphs
- Interpret Real Life Exponential Graphs
- Interpret Real Life Reciprocal Graphs
- Plot Quadratic Graphs
- Recognise and Interpret Quadratic Graphs
- Recognise and Interpret Simple Cubic and Reciprocal Graphs
- Recognise and Interpret Simple Exponential Graphs
- Recognise and Interpret the Cosine Graph
- Recognise and Interpret the Sine Graph
- Recognise and Interpret the Tangent Graph
- Sketch Quadratics From Their Functions
- Understand Conversion Graphs
- Use a Graph to Solve an Equation
- Work with Coordinates in Four Quadrants
- Work with Coordinates in One Quadrant
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Practise — questions or activities to try
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Watch it explained
a teacher walks through it
Average gradient of a curve
Best for: a clear explanation before you practise
Perpendicular linear graphs
Best for: a clear explanation before you practise
Estimating area under a curved speed-time graph
Best for: a clear explanation before you practise
Equation of a line from coordinates
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Midpoint of a coordinate line segment
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Roots, intercept and vertex of a quadratic graph
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Parallel linear graphs
Best for: a clear explanation before you practise
Combining transformations of functions
Best for: a clear explanation before you practise
Reading real-life graphs
Best for: a clear explanation before you practise
Drawing quadratic graphs from a table of values
Best for: a clear explanation before you practise
Key features of cubic graphs
Best for: a clear explanation before you practise
Key features of exponential graphs
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Interpreting trigonometric graphs
Best for: a clear explanation before you practise
Conversion graphs
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Solving linear equations graphically
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Coordinates in four quadrants
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Learn it properly
lessons and teaching pages
Average gradient of a curve lesson slides
Best for: worked examples and step-by-step teaching
Instantaneous gradient of a curve lesson slides
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Perpendicular linear graphs lesson slides
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Estimating area under a curved speed-time graph lesson slides
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Equation of a line from coordinates lesson slides
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Dividing coordinate line segments lesson slides
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Roots, intercept and vertex of a quadratic graph lesson slides
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Parallel linear graphs lesson slides
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Combining transformations of functions lesson slides
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Reading real-life graphs lesson slides
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Directly and Inversely Proportional Graphs
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Drawing quadratic graphs from a table of values lesson slides
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Key features of cubic graphs lesson slides
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Key features of reciprocal graphs lesson slides
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Key features of exponential graphs lesson slides
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Interpreting trigonometric graphs lesson slides
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Solving linear equations graphically lesson slides
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Coordinates in four quadrants walkthrough
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Coordinates in the first quadrant
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Practise it
questions and activities to try
Rates of Change Practice Questions
Best for: checking understanding after learning
Perpendicular Lines Practice Questions
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Area Under a Graph Practice Questions
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Equation of a Line Practice Questions
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Gradient Practice Questions
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Drawing Quadratics Practice Questions
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Parallel Line Questions
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Exponential Graphs Practice
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Cubic Graphs
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Reciprocal Graphs
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Exponential Graphs
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Trigonometric Graphs
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Algebra Graphs Worksheets
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Print and finish
worksheets away from the screen
Average gradient of a curve worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Perpendicular linear graphs worksheet and quizzes
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Estimating area under a curved speed-time graph worksheet and quizzes
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Equation of a line from coordinates worksheet and quizzes
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Parallel linear graphs worksheet and quizzes
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Midpoint of a coordinate line segment practice
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Dividing coordinate line segments worksheet and quizzes
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Roots, intercept and vertex of a quadratic graph worksheet and quizzes
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Drawing quadratic graphs from a table of values worksheet and quizzes
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Combining transformations of functions worksheet and quizzes
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Transformations of trigonometric graphs
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Reading real-life graphs worksheet and quizzes
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Key features of exponential graphs worksheet and quizzes
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Key features of reciprocal graphs worksheet and quizzes
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Key features of cubic graphs worksheet and quizzes
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Interpreting trigonometric graphs worksheet and quizzes
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Drawing sine and cosine graphs worksheet and quizzes
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Drawing the tangent graph worksheet and quizzes
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Conversion graphs practice
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Solving linear equations graphically worksheet and quizzes
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Coordinates in four quadrants practice
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