# Maths resources for design and technology

Resources to support the teaching of maths content in design and technology.

### Accuracy of Measurements

This video resource from Teachers TV features students working in groups to measure things in and around their classroom. After measuring the height of the door in pencil cases, the width of the whiteboard in shoes and the length of the corridor in 'Bens', the class comes to some conclusions about the bounds of accuracy that can realistically be claimed for different units of measurement.

### Maths - Accuracy and Estimation

This collection contains six videos, each about three minutes in length. Each video covers a different aspect of estimation set in differing contexts. Each video is accompanied by a lesson plan and a worksheet containing questions of differing difficulty associated with the mathematical topics encountered in the video. The mathematical concepts covered include estimating large numbers, estimating measurements, accuracy of measurement and rounding to an appropriate degree of accuracy.

### Measures

This resource contains an interactive spreadsheet designed to support the teaching of measurements. The notes for using the activities are provided on a separate tab within the spreadsheet and each page of the spreadsheet contains a different activity, they are:

- Polygon Perimeters calculate the perimeter of a regular polygon from 3 to 40 sides given the length of one side.
- Recipes work out the amounts of ingredients in a recipe needed for more people by scaling up or down.
- Mixed lengths convert between different units of length.
- Mixed capacities convert between different units of capacity.
- Mixed masses convert between different units of mass.
- Subtracting mixed units compare two ways of subtracting given mixed units of measure.

### 2D and 3D Shapes

Drawing 3D in 2D

This excel file deals with 2D representations of solids, including isometric and simple orthographic views.

3D Geometry

This interactive excel file deals with trigonometry in 3D. It begins with a sheet illustrating the angle between two planes. The next two sheets show diagrams of cuboids for students to find lengths, angles or angles between planes. Hints are given and answers correct to 1 d.p. can be revealed. Angles and lengths within pyramids are dealt with on a separate sheet.

This file also has eight sheets of printable sets of questions which may be suitable for use within the classroom. Topics include 3D coordinates and the volume and area of prisms, spheres, cones and cylinders.

### The Virtual Textbook: Secondary

This collection of resources from the Virtual Text Book contains eight sub-collections designed for use on an interactive whiteboard to aid the teaching and learning of a variety of topics. Each resource is an interactive excel worksheet to encourage teacher-student interaction.

The topics covered are:

• Number

• Algebra: Expressing Relationships

• Algebra: Using Equations and Functions

• Ratio, Proportion and Rates of Change

• Geometry and Measure

• Pythagoras and Trigonometry

• Statistics

• Probability

### cre8ate maths

A collection of resources to support the teaching of maths content in the context of construction, architecture, graphic design, food preparation and engineering.

### How long is a Metre?

This three minute video, from Twig World, explains that the metre is the base unit for measurement for most of the world, but how was it agreed how long a metre should be? The need for standardised units of measurement is discussed and the value of the metre being one ten millionth of the distance from the North Pole to the equator explained, this later being redefined more accurately in 1983. The video is accompanied by a lesson plan and a worksheet covering measurement, estimation and conversion between metric units.

### BLOODHOUND SSC Secondary Topics

A collection of materials provided by BLOODHOUND SSC to support the teaching of science, technology, engineering and mathematics at Key Stage Three and Key Stage Four.

Resources include:

- Material hardness testing
- Measuring thrust
- Measuring speed of sound
- Forces
- Rockets

### Machines, Mechanisms and Mathematics

This resource provides mathematic examples of how linkages are used in engineered products. Each example is accompanied by detailed diagrams, explanations of the mathematical principles behind the transfer of motion (I.e. rotary, linear) and examples of a demonstration models that could be used in class. Due to the word count of this resource, we suggest that it be used by the teacher, providing examples for classroom demonstration or student activity.

### 3D Objects

3D Objects requires students to name objects and count the number of edges, faces and corners of each object. The objects included are a cube, a cuboid, a pyramid, a cylinder, a cone and a sphere. The second page contains sample answers.