Year 10 / GCSE · Maths
Graphs And Coordinates
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Focus on graph transformations and quadratic graphs gcse. Open support for “Apply Horizontal Translations to a Graph Using y = f(x + a)”, then explain the idea in your own words.
Year 10 / GCSE learners practise graph transformations and quadratic graphs gcse.
The activities include Apply Horizontal Translations to a Graph Using y = f(x + a), Interpret the Gradient and Intercept of a Straight Line, Apply Transformations to a Graph Using y = af(x), and related practice. The checked support below includes video, worksheet, teaching, practice. Open a resource in its provider's website and choose the format that best helps the learner explain the idea independently.
Activities covered
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- Apply Horizontal Translations to a Graph Using y = f(x + a) — support from Oak National Academy
- Interpret the Gradient and Intercept of a Straight Line — support from Corbett Maths
- Apply Transformations to a Graph Using y = af(x) — support from Oak National Academy
- Apply Transformations to a Graph Using y = -f(x) and y = f(-x) — support from Corbett Maths
- Apply Transformations to a Graph Using y = f(ax) — support from Oak National Academy
- Apply Vertical Translations to Graphs Using y = f(x) ± a — support from Oak National Academy
- Find Approximate Solutions to Quadratics Using a Graph — support from Corbett Maths
- Find the Equation of a Straight Line — support from Corbett Maths
- Interpret Distance-Time Graphs — support from Oak National Academy
- Interpret Speed-Time Graphs — support from Oak National Academy
- Use Algebra to Identify the Roots of a Quadratic — support from Oak National Academy
- Use Algebra to Identify the Turning Point of a Quadratic — support from Oak National Academy
- Use the Equation for a Circle — support from Oak National Academy
- Use the Equation of a Tangent to a Circle — support from Oak National Academy
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Practise — questions or activities to try
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Watch it explained
watch a video explanation
Horizontal graph translations: y = f(x + a)
Best for: a clear explanation before you practise
y = mx + c
Best for: a clear explanation before you practise
Vertical stretches: y = af(x)
Best for: a clear explanation before you practise
Transformations of graphs
Best for: a clear explanation before you practise
Horizontal stretches: y = f(ax)
Best for: a clear explanation before you practise
Vertical graph translations: y = f(x) + a
Best for: a clear explanation before you practise
Solving quadratics graphically
Best for: a clear explanation before you practise
Equation of a line through two points
Best for: a clear explanation before you practise
Distance-time graphs
Best for: a clear explanation before you practise
Speed-time graphs
Best for: a clear explanation before you practise
Quadratic roots by factorising
Best for: a clear explanation before you practise
Key features of a quadratic graph
Best for: a clear explanation before you practise
Equation of a circle centred at the origin
Best for: a clear explanation before you practise
Equation of a tangent to a circle
Best for: a clear explanation before you practise
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Learn it properly
lessons and teaching pages
Horizontal graph translations: y = f(x + a) lesson slides
Best for: worked examples and step-by-step teaching
Gradient and intercept from a straight-line graph lesson slides
Best for: worked examples and step-by-step teaching
Vertical stretches: y = af(x) lesson slides
Best for: worked examples and step-by-step teaching
Reflection in the x-axis: y = -f(x) lesson slides
Best for: worked examples and step-by-step teaching
Reflection in the y-axis: y = f(-x) lesson slides
Best for: worked examples and step-by-step teaching
Horizontal stretches: y = f(ax) lesson slides
Best for: worked examples and step-by-step teaching
Vertical graph translations: y = f(x) + a lesson slides
Best for: worked examples and step-by-step teaching
Key features of a quadratic graph lesson slides
Best for: worked examples and step-by-step teaching
Equation of a line through two points lesson slides
Best for: worked examples and step-by-step teaching
Distance-time graphs lesson slides
Best for: worked examples and step-by-step teaching
Speed-time graphs lesson slides
Best for: worked examples and step-by-step teaching
Quadratic roots by factorising lesson slides
Best for: worked examples and step-by-step teaching
Equation of a circle centred at the origin lesson slides
Best for: worked examples and step-by-step teaching
Equation of a tangent to a circle lesson slides
Best for: worked examples and step-by-step teaching
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Practise it
questions and activities to try
Transformations of Graphs
Best for: checking understanding after learning
Distance Time Graphs Practice Questions
Best for: checking understanding after learning
Rates of Change Practice Questions
Best for: checking understanding after learning
Area Under a Graph Practice Questions
Best for: checking understanding after learning
Drawing Quadratics Practice Questions
Best for: checking understanding after learning
Equation of a Circle
Best for: checking understanding after learning
Equation of a Tangent to a Circle Practice Questions
Best for: checking understanding after learning
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Print and finish
worksheets away from the screen
Horizontal graph translations: y = f(x + a) worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Gradient and intercept from a straight-line graph worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Vertical stretches: y = af(x) worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Transformations of graphs practice questions
Best for: pencil-and-paper practice away from the screen
Horizontal stretches: y = f(ax) worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Vertical graph translations: y = f(x) + a worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Solving quadratics graphically practice
Best for: pencil-and-paper practice away from the screen
Finding the equation of a straight line through given points
Best for: pencil-and-paper practice away from the screen
Distance-time graphs worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Speed-time graphs worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Quadratic roots by factorising worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Turning point by completing the square
Best for: pencil-and-paper practice away from the screen
Equation of a circle centred at the origin worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Equation of a tangent to a circle worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Nothing in this step matches your filters.