# stemNRICH - Technology

### Welcome to the Design Technology collection of stemNRICH resources.

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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### Problems with teacher support

The following problems contain detailed teacher support concerning how we might use the task in schools.  However, since these problems are intended to be rich mathematical activities they can be used effectively in many ways and at many levels of sophistication, both in the classroom and by individuals.

### Tom Learns to Cook

##### Age 7 to 11Challenge Level

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.

### Troublesome Triangles

##### Age 7 to 14Challenge Level

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.

##### Age 7 to 14Challenge Level

A simple robot to make, plus robots in everyday life to investigate.

##### Age 7 to 14Challenge Level

What shape and size of drinks mat is best for flipping and catching?

### Helicopters

##### Age 7 to 16Challenge Level

Design and test a paper helicopter. What is the best design?

### Oblique Projection

##### Age 11 to 14Challenge Level

Explore the properties of oblique projection.

### Isometric Drawing

##### Age 11 to 14Challenge Level

Explore the properties of isometric drawings.

##### Age 11 to 14Challenge Level

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?

### Chocolate Cake

##### Age 11 to 14Challenge Level

If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?

### Make Your Own Pencil Case

##### Age 11 to 14Challenge Level

What shape would fit your pens and pencils best? How can you make it?

### Straw Scaffold

##### Age 11 to 14Challenge Level

Build a scaffold out of drinking-straws to support a cup of water

### Tray Bake

##### Age 11 to 14Challenge Level

My recipe is for 12 cakes - how do I change it if I want to make a different number of cakes?

### Perspective Drawing

##### Age 11 to 16Challenge Level

Explore the properties of perspective drawing.

### Designing Table Mats

##### Age 11 to 16Challenge Level

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

### stemNRICH - Technology

##### Age 11 to 16Challenge Level

This is the technology section of stemNRICH - Core.

### Hmm ... When Should Tom Have Put the Rice on ...

##### Age 11 to 16Challenge Level

Creating a schedule to cook a meal consisting of two different recipes, plus rice.

### 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?

### Cool as Ice

##### Age 11 to 16Challenge Level

Design and construct a prototype intercooler which will satisfy agreed quality control constraints.

### Flower Power

##### Age 11 to 16Challenge Level

Create a symmetrical fabric design based on a flower motif - and realise it in Logo.

### 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.

### Making Moiré Patterns

##### Age 11 to 18Challenge Level

MoirÃ© patterns are intriguing interference patterns. Create your own beautiful examples using LOGO!

### Chopped Dice

##### Age 14 to 16Challenge Level

Can you make a new type of fair die with 14 faces by shaving the corners off a cube?

### Robot Camera

##### Age 14 to 16Challenge Level

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

### Carbon Footprints

##### Age 14 to 16Challenge Level

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

### Mystery Procedure

##### Age 14 to 16Challenge Level

Can you work out what this procedure is doing?

### 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?

### The Olympic LOGO

##### Age 16 to 18 ShortChallenge Level

Can you use LOGO to draw a logo?

### engNRICH

##### Age 16 to 18Challenge Level

engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering

### Problems without specific teacher support

The following problems are without specific teacher notes. These are often problems which would be difficult to fit into a typical curriculum area at school or are very open ended. They will be interesting for students interested in the general subject area to explore alone or for teachers to explore for ideas to bring to their own classrooms.