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Resources tagged with Graph sketching similar to Mean Geometrically:

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Broad Topics > Sequences, Functions and Graphs > Graph sketching

Maltese Cross

Stage: 5 Challenge Level:

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.

Scientific Curves

Stage: 5 Challenge Level:

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

Curve Match

Stage: 5 Challenge Level:

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

Sketching Families of Graphs

Stage: 3, 4 and 5 Challenge Level:

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.

Area L

Stage: 5 Challenge Level:

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.

Tangled Trig Graphs

Stage: 5 Challenge Level:

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

Weekly Challenge 43: A Close Match

Stage: 5 Challenge Level:

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

Curvy Catalogue

Stage: 5 Challenge Level:

Make a catalogue of curves with various properties.

Guess the Function

Stage: 5 Challenge Level:

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

Rational Request

Stage: 5 Challenge Level:

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

Bio Graphs

Stage: 4 Challenge Level:

What biological growth processes can you fit to these graphs?

Curve Fitter

Stage: 5 Challenge Level:

Can you fit a cubic equation to this graph?

Witch of Agnesi

Stage: 5 Challenge Level:

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

Stage: 5 Challenge Level:

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

Slide

Stage: 5 Challenge Level:

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.

Sine Problem

Stage: 5 Challenge Level:

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.

Folium of Descartes

Stage: 5 Challenge Level:

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

Pitchfork

Stage: 5 Challenge Level:

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

Quartics

Stage: 5 Challenge Level:

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

Cocked Hat

Stage: 5 Challenge Level:

Sketch the graphs for this implicitly defined family of functions.

Back Fitter

Stage: 4 Challenge Level:

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?

Polar Flower

Stage: 5 Challenge Level:

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

What's That Graph?

Stage: 4 Challenge Level:

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

Whose Line Graph Is it Anyway?

Stage: 5 Challenge Level:

Which line graph, equations and physical processes go together?

Motion Capture

Stage: 3 and 4 Challenge Level:

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

Reaction Types

Stage: 5 Challenge Level:

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

Ideal Axes

Stage: 5 Challenge Level:

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