# Search by Topic

#### Resources tagged with Graph sketching similar to PCDF:

Filter by: Content type:
Age range:
Challenge level:

### There are 27 results

Broad Topics > Functions and Graphs > Graph sketching

### Rational Request

##### Age 16 to 18 Challenge Level:

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

### Curvy Catalogue

##### Age 16 to 18 Challenge Level:

Make a catalogue of curves with various properties.

### Tangled Trig Graphs

##### Age 16 to 18 Challenge Level:

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

### A Close Match

##### Age 16 to 18 Challenge Level:

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

### Area L

##### Age 16 to 18 Challenge Level:

By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

### Witch of Agnesi

##### Age 16 to 18 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.

### What's That Graph?

##### Age 14 to 16 Challenge Level:

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

### How Does Your Function Grow?

##### Age 16 to 18 Challenge Level:

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

### Folium of Descartes

##### Age 16 to 18 Challenge Level:

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

### Maltese Cross

##### Age 16 to 18 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.

### Pitchfork

##### Age 16 to 18 Challenge Level:

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

### Slide

##### Age 16 to 18 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.

### Whose Line Graph Is it Anyway?

##### Age 16 to 18 Challenge Level:

Which line graph, equations and physical processes go together?

### Curve Match

##### Age 16 to 18 Challenge Level:

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

### Back Fitter

##### Age 14 to 16 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?

### Guess the Function

##### Age 16 to 18 Challenge Level:

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

### Quartics

##### Age 16 to 18 Challenge Level:

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

### Scientific Curves

##### Age 16 to 18 Challenge Level:

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

### Cocked Hat

##### Age 16 to 18 Challenge Level:

Sketch the graphs for this implicitly defined family of functions.

### Spot the Difference

##### Age 16 to 18 Short Challenge Level:

If you plot these graphs they may look the same, but are they?

### Sine Problem

##### Age 16 to 18 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.

### Curve Fitter

##### Age 16 to 18 Challenge Level:

Can you fit a cubic equation to this graph?

### Bio Graphs

##### Age 14 to 16 Challenge Level:

What biological growth processes can you fit to these graphs?

### Reaction Types

##### Age 16 to 18 Challenge Level:

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

### Ideal Axes

##### Age 16 to 18 Challenge Level:

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

### Squareness

##### Age 16 to 18 Challenge Level:

The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more and more square as n increases?

### Polar Flower

##### Age 16 to 18 Challenge Level:

This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.
The text passage is a collection of titles and brief descriptions of mathematical problems and challenges, primarily focused on graph sketching and analysis.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Search by Topic

#### Resources tagged with Graph sketching similar to PCDF:

Filter by: Content type:
Age range:
Challenge level:

### There are 27 results

Broad Topics > Functions and Graphs > Graph sketching

### Rational Request

##### Age 16 to 18 Challenge Level:

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

### Curvy Catalogue

##### Age 16 to 18 Challenge Level:

Make a catalogue of curves with various properties.

### Tangled Trig Graphs

##### Age 16 to 18 Challenge Level:

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

### A Close Match

##### Age 16 to 18 Challenge Level:

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

### Area L

##### Age 16 to 18 Challenge Level:

By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

### Witch of Agnesi

##### Age 16 to 18 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.

### What's That Graph?

##### Age 14 to 16 Challenge Level:

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

### How Does Your Function Grow?

##### Age 16 to 18 Challenge Level:

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

### Folium of Descartes

##### Age 16 to 18 Challenge Level:

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

### Maltese Cross

##### Age 16 to 18 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.

### Pitchfork

##### Age 16 to 18 Challenge Level:

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

### Slide

##### Age 16 to 18 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.

### Whose Line Graph Is it Anyway?

##### Age 16 to 18 Challenge Level:

Which line graph, equations and physical processes go together?

### Curve Match

##### Age 16 to 18 Challenge Level:

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

### Back Fitter

##### Age 14 to 16 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?

### Guess the Function

##### Age 16 to 18 Challenge Level:

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

### Quartics

##### Age 16 to 18 Challenge Level:

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

### Scientific Curves

##### Age 16 to 18 Challenge Level:

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

### Cocked Hat

##### Age 16 to 18 Challenge Level:

Sketch the graphs for this implicitly defined family of functions.

### Spot the Difference

##### Age 16 to 18 Short Challenge Level:

If you plot these graphs they may look the same, but are they?

### Sine Problem

##### Age 16 to 18 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.

### Curve Fitter

##### Age 16 to 18 Challenge Level:

Can you fit a cubic equation to this graph?

### Bio Graphs

##### Age 14 to 16 Challenge Level:

What biological growth processes can you fit to these graphs?

### Reaction Types

##### Age 16 to 18 Challenge Level:

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

### Ideal Axes

##### Age 16 to 18 Challenge Level:

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

### Squareness

##### Age 16 to 18 Challenge Level:

The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more and more square as n increases?

### Polar Flower

##### Age 16 to 18 Challenge Level:

This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.
user
The text passage is a collection of titles and brief descriptions of mathematical problems and challenges, primarily focused on graph sketching and analysis.

TYPE: NO_QUESTION