Resources tagged with: Investigations

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There are 55 results

Broad Topics > Thinking Mathematically > Investigations

The Power of Dimensional Analysis

Age 14 to 18

An introduction to a useful tool to check the validity of an equation.

Making More Tracks

Age 16 to 18Challenge Level

Given the equation for the path followed by the back wheel of a bike, can you solve to find the equation followed by the front wheel?

Genetic Intrigue

Age 16 to 18

Dip your toe into the fascinating topic of genetics. From Mendel's theories to some cutting edge experimental techniques, this article gives an insight into some of the processes underlying. . . .

Powerfully Fast

Age 16 to 18Challenge Level

Explore the power of aeroplanes, spaceships and horses.

Escape from Planet Earth

Age 16 to 18Challenge Level

How fast would you have to throw a ball upwards so that it would never land?

Mach Attack

Age 16 to 18Challenge Level

Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.

Modelling Assumptions in Mechanics

Age 16 to 18

An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.

What Salt?

Age 16 to 18Challenge Level

Can you deduce why common salt isn't NaCl_2?

Stirling Work

Age 16 to 18Challenge Level

See how enormously large quantities can cancel out to give a good approximation to the factorial function.

Bessel's Equation

Age 16 to 18Challenge Level

Get further into power series using the fascinating Bessel's equation.

Scale Invariance

Age 16 to 18Challenge Level

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.

Age 16 to 18

Read about the mathematics behind the measuring devices used in quantitative chemistry

More Bridge Building

Age 16 to 18Challenge Level

Which parts of these framework bridges are in tension and which parts are in compression?

Building Approximations for Sin(x)

Age 16 to 18Challenge Level

Build up the concept of the Taylor series

Taking Trigonometry Series-ly

Age 16 to 18Challenge Level

Look at the advanced way of viewing sin and cos through their power series.

Diamonds Aren't Forever

Age 16 to 18Challenge Level

Ever wondered what it would be like to vaporise a diamond? Find out inside...

Clear as Crystal

Age 16 to 18Challenge Level

Unearth the beautiful mathematics of symmetry whilst investigating the properties of crystal lattices

Age 14 to 18Challenge Level

Some of our more advanced investigations

Chance of That

Age 16 to 18Challenge Level

What's the chance of a pair of lists of numbers having sample correlation exactly equal to zero?

A Different Differential Equation

Age 16 to 18Challenge Level

Explore the properties of this different sort of differential equation.

Smoke and Daggers

Age 16 to 18Challenge Level

We all know that smoking poses a long term health risk and has the potential to cause cancer. But what actually happens when you light up a cigarette, place it to your mouth, take a tidal breath. . . .

Big and Small Numbers in Physics

Age 14 to 16Challenge Level

Work out the numerical values for these physical quantities.

Reaction Rates!

Age 16 to 18

Fancy learning a bit more about rates of reaction, but don't know where to look? Come inside and find out more...

CSI: Chemical Scene Investigation

Age 16 to 18Challenge Level

There has been a murder on the Stevenson estate. Use your analytical chemistry skills to assess the crime scene and identify the cause of death...

Global Warming

Age 14 to 16Challenge Level

How much energy has gone into warming the planet?

Bent Out of Shape

Age 14 to 18Challenge Level

An introduction to bond angle geometry.

Very Old Man

Age 16 to 18Challenge Level

Is the age of this very old man statistically believable?

Big and Small Numbers in Chemistry

Age 14 to 16Challenge Level

Get some practice using big and small numbers in chemistry.

What Do Functions Do for Tiny X?

Age 16 to 18Challenge Level

Looking at small values of functions. Motivating the existence of the Taylor expansion.

Which Twin Is Older?

Age 16 to 18

A simplified account of special relativity and the twins paradox.

Trig-trig

Age 16 to 18Challenge Level

Explore the properties of combinations of trig functions in this open investigation.

Few and Far Between?

Age 16 to 18Challenge Level

Can you find some Pythagorean Triples where the two smaller numbers differ by 1?

Sextet

Age 16 to 18Challenge Level

Investigate x to the power n plus 1 over x to the power n when x plus 1 over x equals 1.

Big and Small Numbers in the Physical World

Age 14 to 16Challenge Level

Work with numbers big and small to estimate and calculate various quantities in physical contexts.

Designing Table Mats

Age 11 to 16Challenge Level

Formulate and investigate a simple mathematical model for the design of a table mat.

Big and Small Numbers in the Living World

Age 11 to 16Challenge Level

Work with numbers big and small to estimate and calculate various quantities in biological contexts.

Snookered

Age 14 to 18Challenge Level

In a snooker game the brown ball was on the lip of the pocket but it could not be hit directly as the black ball was in the way. How could it be potted by playing the white ball off a cushion?

Alternative Record Book

Age 14 to 18Challenge Level

In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

Carbon Footprints

Age 14 to 16Challenge Level

Is it really greener to go on the bus, or to buy local?

Geometry and Gravity 1

Age 11 to 18

This article (the first of two) contains ideas for investigations. Space-time, the curvature of space and topology are introduced with some fascinating problems to explore.

Robot Camera

Age 14 to 16Challenge Level

Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?

A Rational Search

Age 16 to 18Challenge Level

Investigate constructible images which contain rational areas.

Operating Machines

Age 16 to 18Challenge Level

What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

Perfect Eclipse

Age 14 to 16Challenge Level

Use trigonometry to determine whether solar eclipses on earth can be perfect.

Problem Solving: Opening up Problems

Age 5 to 16

All types of mathematical problems serve a useful purpose in mathematics teaching, but different types of problem will achieve different learning objectives. In generalmore open-ended problems have. . . .

Spirostars

Age 16 to 18Challenge Level

A spiropath is a sequence of connected line segments end to end taking different directions. The same spiropath is iterated. When does it cycle and when does it go on indefinitely?

Spokes

Age 16 to 18Challenge Level

Draw three equal line segments in a unit circle to divide the circle into four parts of equal area.

Witch's Hat

Age 11 to 16Challenge Level

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

Track Design

Age 14 to 16Challenge Level

Where should runners start the 200m race so that they have all run the same distance by the finish?