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Resources tagged with Graph sketching similar to Rose:

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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Sequences, Functions and Graphs > Graph sketching

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Cocked Hat

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Sketch the graphs for this implicitly defined family of functions.

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Sketching Families of Graphs

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

In this trail, a new type of NRICH resource, learn about transformations of graphs. Given patterns made from families of graphs find all the equations in the family.

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Polar Flower

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.

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Sine Problem

Stage: 5 Challenge Level: Challenge Level:1

In this 'mesh' of sine graphs, one of the graphs is the graph of the sine function. Find the equations of the other graphs to reproduce the pattern.

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Area L

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Draw the graph of a continuous increasing function in the first quadrant and horizontal and vertical lines through two points. The areas in your sketch lead to a useful formula for finding integrals.

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Scientific Curves

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you sketch these difficult curves, which have uses in mathematical modelling?

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Curve Match

Stage: 5 Challenge Level: Challenge Level:1

Which curve is which, and how would you plan a route to pass between them?

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Back Fitter

Stage: 4 Challenge Level: Challenge Level:1

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

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Tangled Trig Graphs

Stage: 5 Challenge Level: Challenge Level:1

Can you work out the equations of the trig graphs I used to make my pattern?

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Guess the Function

Stage: 5 Challenge Level: Challenge Level:1

This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together.

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Weekly Challenge 43: A Close Match

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you massage the parameters of these curves to make them match as closely as possible?

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Rational Request

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you make a curve to match my friend's requirements?

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Curvy Catalogue

Stage: 5 Challenge Level: Challenge Level:1

Make a catalogue of curves with various properties.

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Curve Fitter

Stage: 5 Challenge Level: Challenge Level:1

Can you fit a cubic equation to this graph?

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Bio Graphs

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

What biological growth processes can you fit to these graphs?

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Witch of Agnesi

Stage: 5 Challenge Level: Challenge Level:1

Sketch the members of the family of graphs given by y = a^3/(x^2+a^2) for a=1, 2 and 3.

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Folium of Descartes

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.

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How Does Your Function Grow?

Stage: 5 Challenge Level: Challenge Level:1

Compares the size of functions f(n) for large values of n.

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Maltese Cross

Stage: 5 Challenge Level: Challenge Level:1

Sketch the graph of $xy(x^2 - y^2) = x^2 + y^2$ consisting of four curves and a single point at the origin. Convert to polar form. Describe the symmetries of the graph.

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Slide

Stage: 5 Challenge Level: Challenge Level:1

This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain.

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Pitchfork

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Plot the graph of x^y = y^x in the first quadrant and explain its properties.

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Quartics

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Investigate the graphs of y = [1 + (x - t)^2][1 + (x + t^)2] as the parameter t varies.

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What's That Graph?

Stage: 4 Challenge Level: Challenge Level:1

Can you work out which processes are represented by the graphs?

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Reaction Types

Stage: 5 Challenge Level: Challenge Level:1

Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.

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Motion Capture

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Explore displacement/time and velocity/time graphs with this mouse motion sensor.

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Whose Line Graph Is it Anyway?

Stage: 5 Challenge Level: Challenge Level:1

Which line graph, equations and physical processes go together?

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Ideal Axes

Stage: 5 Challenge Level: Challenge Level:1

Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging