# 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.

##### Stage: 2 and 3 Challenge Level:

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

##### Stage: 2 and 3 Challenge Level:

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

### Tom Learns to Cook

##### Stage: 2 and 3 Challenge 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

##### Stage: 2 and 3 Challenge 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.

### Helicopters

##### Stage: 2, 3 and 4 Challenge Level:

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

### Oblique Projection

##### Stage: 3 Challenge Level:

Explore the properties of oblique projection.

### Isometric Drawing

##### Stage: 3 Challenge Level:

Explore the properties of isometric drawings.

##### Stage: 3 Challenge 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

##### Stage: 3 Challenge 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

##### Stage: 3 Challenge Level:

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

### Straw Scaffold

##### Stage: 3 Challenge Level:

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

### Tray Bake

##### Stage: 3 Challenge Level:

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

### Designing Table Mats

##### Stage: 3 and 4 Challenge Level:

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

### stemNRICH - Technology

##### Stage: 3 and 4 Challenge Level:

This is the technology section of stemNRICH - Core.

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

##### Stage: 3 and 4 Challenge Level:

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

### Witch's Hat

##### Stage: 3 and 4 Challenge Level:

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

### Cool as Ice

##### Stage: 3 and 4 Challenge Level:

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

### Flower Power

##### Stage: 3 and 4 Challenge Level:

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

### 3D Drawing

##### Stage: 3 and 4

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.

### Perspective Drawing

##### Stage: 3 and 4 Challenge Level:

Explore the properties of perspective drawing.

### Making Moiré Patterns

##### Stage: 3, 4 and 5 Challenge Level:

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

### Weekly Challenge 20: the Olympic LOGO

##### Stage: 3, 4 and 5 Short Challenge Level:

A weekly challenge concerning drawing shapes algorithmically.

### Chopped Dice

##### Stage: 4 Challenge Level:

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

### Robot Camera

##### Stage: 4 Challenge Level:

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

### Carbon Footprints

##### Stage: 4 Challenge Level:

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

### Mystery Procedure

##### Stage: 4 Challenge Level:

Can you work out what this procedure is doing?

### Track Design

##### Stage: 4 Challenge Level:

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

### engNRICH

##### Stage: 5 Challenge 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.