In these resources, maths is used as a tool to explore some aspect of design technology. Some might be best used in the maths lesson, with reference made to the science. Others could be taught as cross-curricular topics.
Stage 3 is roughly 11-14 years and Stage 4 roughly 14-16 years. The stars indicate how easily most learners can get into the problem, although most problems contain enough depth to challenge and stimulate all.
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What shape and size of drinks mat is best for flipping and catching?
If Tom wants to learn to cook his favourite supper, he needs to make a schedule so that everything is ready at the same time.
Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple simulation game to investigate the properties of such systems.
A simple robot to make, plus robots in everyday life to investigate.
Design and test a paper helicopter. What is the best design?
Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
What shape would fit your pens and pencils best? How can you make it?
Build a scaffold out of drinking-straws to support a cup of water
My recipe is for 12 cakes - how do I change it if I want to make a different number of cakes?
Explore the properties of oblique projection.
Explore the properties of isometric drawings.
This is the technology section of stemNRICH - Core.
Creating a schedule to cook a meal consisting of two different recipes, plus rice.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Design and construct a prototype intercooler which will satisfy agreed quality control constraints.
Create a symmetrical fabric design based on a flower motif - and realise it in Logo.
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.
Explore the properties of perspective drawing.
Formulate and investigate a simple mathematical model for the design of a table mat.
Moiré patterns are intriguing interference patterns. Create your own beautiful examples using LOGO!
A weekly challenge concerning drawing shapes algorithmically.
Is it really greener to go on the bus, or to buy local?
Can you work out what this procedure is doing?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Can you make a new type of fair die with 14 faces by shaving the
corners off a cube?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering