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Resources tagged with Graphs similar to Consecutive Squares:

Other tags that relate to Consecutive Squares

Surds. Manipulating algebraic expressions/formulae. Mathematical reasoning & proof. Powers & roots. Generalising. Quadratic functions. Creating expressions/formulae. Factorisation (algebraic). Graphs. Polynomials.

There are 41 results

Broad Topics > Sequences, Functions and Graphs > Graphs

Exploring Quadratic Mappings

Age 14 to 16 Challenge Level:

Explore the relationship between quadratic functions and their graphs.

Matchless

Age 14 to 16 Challenge Level:

There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?

Charlie's Mapping

Age 11 to 14 Challenge Level:

Charlie has created a mapping. Can you figure out what it does? What questions does it prompt you to ask?

Parabolas Again

Age 14 to 18 Challenge Level:

Here is a pattern composed of the graphs of 14 parabolas. Can you find their equations?

Cubics

Age 14 to 18 Challenge Level:

Knowing two of the equations find the equations of the 12 graphs of cubic functions making this pattern.

More Quadratic Transformations

Age 14 to 16 Challenge Level:

Here are some more quadratic functions to explore. How are their graphs related?

Alison's Mapping

Age 14 to 16 Challenge Level:

Alison has created two mappings. Can you figure out what they do? What questions do they prompt you to ask?

More Parabolic Patterns

Age 14 to 18 Challenge Level:

The illustration shows the graphs of twelve functions. Three of them have equations y=x^2, x=y^2 and x=-y^2+2. Find the equations of all the other graphs.

Mathsjam Jars

Age 14 to 16 Challenge Level:

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

Quadratic Transformations

Age 14 to 16 Challenge Level:

Explore the two quadratic functions and find out how their graphs are related.

Steady Free Fall

Age 14 to 16 Challenge Level:

Can you adjust the curve so the bead drops with near constant vertical velocity?

Parabolic Patterns

Age 14 to 18 Challenge Level:

The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.

Which Is Cheaper?

Age 14 to 16 Challenge Level:

When I park my car in Mathstown, there are two car parks to choose from. Which car park should I use?

Graphical Interpretation

Age 14 to 16 Challenge Level:

This set of resources for teachers offers interactive environments to support work on graphical interpretation at Key Stage 4.

Fence It

Age 11 to 14 Challenge Level:

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

Four on the Road

Age 14 to 16 Challenge Level:

Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?

Two cyclists, practising on a track, pass each other at the starting line and go at constant speeds... Can you find lap times that are such that the cyclists will meet exactly half way round the. . . .

Motion Sensor

Age 14 to 16 Challenge Level:

Looking at the graph - when was the person moving fastest? Slowest?

On the Road

Age 14 to 16 Challenge Level:

Four vehicles travelled on a road. What can you deduce from the times that they met?

Ellipses

Age 14 to 18 Challenge Level:

Here is a pattern for you to experiment with using graph drawing software. Find the equations of the graphs in the pattern.

Walk and Ride

Age 7 to 14 Challenge Level:

How far have these students walked by the time the teacher's car reaches them after their bus broke down?

Which Is Bigger?

Age 14 to 16 Challenge Level:

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

Diamond Collector

Age 11 to 14 Challenge Level:

Collect as many diamonds as you can by drawing three straight lines.

Speeding Up, Slowing Down

Age 11 to 14 Challenge Level:

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.

Spaces for Exploration

Age 11 to 14

Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.

How Far Does it Move?

Age 11 to 14 Challenge Level:

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

Parallel Lines

Age 11 to 14 Challenge Level:

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

Up and Across

Age 11 to 14 Challenge Level:

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its vertical and horizontal movement at each stage.

Translating Lines

Age 11 to 14 Challenge Level:

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

What's That Graph?

Age 14 to 16 Challenge Level:

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

More Realistic Electric Kettle

Age 14 to 18 Challenge Level:

Electric Kettle

Age 14 to 16 Challenge Level:

Explore the relationship between resistance and temperature

Bus Stop

Age 14 to 16 Challenge Level:

Two buses leave at the same time from two towns Shipton and Veston on the same long road, travelling towards each other. At each mile along the road are milestones. The buses' speeds are constant. . . .

Perpendicular Lines

Age 14 to 16 Challenge Level:

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

Surprising Transformations

Age 14 to 16 Challenge Level:

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

Reflecting Lines

Age 11 to 14 Challenge Level:

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.