Resources tagged with: Maths Supporting SET

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There are 89 results

Broad Topics > Cross-curricular Contexts > Maths Supporting SET

Spherical Triangles on Very Big Spheres

Age 16 to 18
Challenge Level

Shows that Pythagoras for Spherical Triangles reduces to Pythagoras's Theorem in the plane when the triangles are small relative to the radius of the sphere.

Taking Trigonometry Series-ly

Age 16 to 18
Challenge Level

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

What Do Functions Do for Tiny X?

Age 16 to 18
Challenge Level

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

Ball Bearings

Age 16 to 18
Challenge Level

If a is the radius of the axle, b the radius of each ball-bearing, and c the radius of the hub, why does the number of ball bearings n determine the ratio c/a? Find a formula for c/a in terms of n.

Far Horizon

Age 14 to 16
Challenge Level

An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?

Stirling Work

Age 16 to 18
Challenge Level

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

Efficient Packing

Age 14 to 16
Challenge Level

How efficiently can you pack together disks?

Bessel's Equation

Age 16 to 18
Challenge Level

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

Building Approximations for Sin(x)

Age 16 to 18
Challenge Level

Build up the concept of the Taylor series

Root Hunter

Age 16 to 18
Challenge Level

In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.

Scale Invariance

Age 16 to 18
Challenge Level

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

Flight Path

Age 16 to 18
Challenge Level

Use simple trigonometry to calculate the distance along the flight path from London to Sydney.

Transformations for 10

Age 16 to 18
Challenge Level

Explore the properties of matrix transformations with these 10 stimulating questions.

Stadium Sightline

Age 14 to 18
Challenge Level

How would you design the tiering of seats in a stadium so that all spectators have a good view?

Back Fitter

Age 14 to 18
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?

Track Design

Age 14 to 16
Challenge Level

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

Scientific Curves

Age 16 to 18
Challenge Level

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

Perfect Eclipse

Age 14 to 16
Challenge Level

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

Polygon Walk

Age 16 to 18
Challenge Level

Go on a vector walk and determine which points on the walk are closest to the origin.

Speed-time Problems at the Olympics

Age 14 to 16
Challenge Level

Have you ever wondered what it would be like to race against Usain Bolt?

Cross with the Scalar Product

Age 16 to 18
Challenge Level

Explore the meaning of the scalar and vector cross products and see how the two are related.

Fix Me or Crush Me

Age 16 to 18
Challenge Level

Can you make matrices which will fix one lucky vector and crush another to zero?

Vector Walk

Age 14 to 18
Challenge Level

Starting with two basic vector steps, which destinations can you reach on a vector walk?

Matrix Meaning

Age 16 to 18
Challenge Level

Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.

Constantly Changing

Age 14 to 16
Challenge Level

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

Carbon Footprints

Age 14 to 16
Challenge Level

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

Crystal Symmetry

Age 16 to 18
Challenge Level

Use vectors and matrices to explore the symmetries of crystals.

Square Pair

Age 16 to 18
Challenge Level

Explore the shape of a square after it is transformed by the action of a matrix.

Construct the Solar System

Age 14 to 18
Challenge Level

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

Nine Eigen

Age 16 to 18
Challenge Level

Explore how matrices can fix vectors and vector directions.

What's That Graph?

Age 14 to 18
Challenge Level

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

Perspective Drawing

Age 11 to 16
Challenge Level

Explore the properties of perspective drawing.

3D Drawing

Age 11 to 16

The design technology curriculum requires students to be able to represent 3-dimensional objects on paper. This article introduces some of the mathematical ideas which underlie such methods.

Witch's Hat

Age 11 to 16
Challenge Level

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

Guessing the Graph

Age 14 to 16
Challenge Level

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

Fill Me up Too

Age 14 to 16
Challenge Level

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?

Designing Table Mats

Age 11 to 16
Challenge Level

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

Alternative Record Book

Age 14 to 18
Challenge Level

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

Robot Camera

Age 14 to 16
Challenge Level

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

Mystery Procedure

Age 14 to 16
Challenge Level

Can you work out what this procedure is doing?

Big and Small Numbers in Chemistry

Age 14 to 16
Challenge Level

Get some practice using big and small numbers in chemistry.

Big and Small Numbers in Physics

Age 14 to 16
Challenge Level

Work out the numerical values for these physical quantities.

How Do You React?

Age 14 to 16
Challenge Level

To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...

Population Dynamics Collection

Age 16 to 18
Challenge Level

This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.

Pdf Stories

Age 16 to 18
Challenge Level

Invent scenarios which would give rise to these probability density functions.

Approximately Certain

Age 14 to 18
Challenge Level

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

The Wrong Stats

Age 16 to 18
Challenge Level

Why MUST these statistical statements probably be at least a little bit wrong?

Operating Machines

Age 16 to 18
Challenge Level

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

Equation Matcher

Age 16 to 18
Challenge Level

Can you match these equations to these graphs?

Electric Kettle

Age 14 to 16
Challenge Level

Explore the relationship between resistance and temperature