St Alban's Year 7 Maths Day 1

All of Year 7 took part in a Maths Day in the Autumn term for 3 years.  Pupils worked in mixed ability groups of 3.  Some of the activities and resources are shown below and you are free to use and amend them as you wish.

Pendulum Design  Problem solving activity – Design a pendulum that swings 60 times in a minute  

How to construct a Pendulum

Reaction Time
Investigating whether boys or girls have faster reaction times.  

Instructions for pupils
General Information

Estimation Problems Estimating lengths and heights. Solving problems involving distance, time and speed

Questions
Answer Sheet

Practical Circus
Finding the speed of various cars and of balls rolling along a track etc…
Discussing speeds of various objects and animals
.
Walking and running at different speeds in hall or on playground  
Speed-Time Graphs
Drawing and interpreting distance-time graphs

Using a Data Logger to draw and match real life movements  

Using the Texas CBR (Contact your link Maths Advisor or Texas to borrow the equipment)
Lesson Notes
Running Man Applet
Speed Graphs
The Big Race Questions

Animal Olympics
Series of questions with suggested websites related to the performances of animals

Pupil Question Sheet

Strategy Games
Several games of strategy that can be used for a competition

Strategy Games

St Alban's Year 7 Maths Day 2

All of Year 7 have been taking part in a Maths Day in the Autumn term for the past 3 years.  Pupils worked in mixed ability groups of 3.  This is a single day long project that was introduced at the start of the day and judged at the end of the day by an architect.

The Task

"Working as a member of an architectural team you are competing against other companies to win the contract to design a state-of-the-art teaching area on a given site.

The teaching area must accommodate 100 students and must fit within a piece of land that is 60metres by 40 metres.  (A2 cm squared paper). 

There is no limit to your budget but if your design is expensive then you must be able to convince the school governors that it is worth the extra money.

The Task
Explanation - The Task on PowerPoint
Explanation - The Task simplified for less able pupils
A Place to start
Costs - Summary Spreadsheet
Costs - List of costs

Costs - A sheet for costings to be written on
 

 

 
St Alban's Maths Day 3
 

Cryptography

The subject of cryptography is of obvious interest to young people, as it includes spying, intrigue, secrecy, the Enigma cipher, mobile phones and the Internet. Furthermore,  is built on mathematics, so it can be used to illustrate several aspects of the topic and its applications in the real world. And because cryptography has such a long and rich history, there is the opportunity to pick up on aspects of the history syllabus, such as the Elizabethans or the Second World War.  

I ran a Code Breaking Day where the pupils worked in groups of 3 and each group had access to a computer.

I downloaded the Code Book (lite version) [which I put on a CD to give each pupil to take home] and worked through some exercises, which I selected from those on www.simonsingh.net.  I mixed these in with some challenges which involved them breaking a code and finding the answer somewhere around the school using a map.  At the end of the day they had a period of time to explore one of the many techniques which we hadn't covered from the CDRom which they had to explain to the rest of the class.  Next year I shall include more challenges as these were really popular and helped the pupils to find their way around the school.  I intend to get the pupils to write their own challenges.

To download the Code Book on CDRom - Click here
For the Challenges - Click here
For the letter sent home to parents - Click here
For the Cover Page for pupil handouts - Click here
For a copy of the exercises - Click here
For the exercises with the answers - Click here
For the Challenges with the answers - Click here
For the school map I used with the challenges - Click here
Simon Singh has a 20 minute video clip which can be downloaded free from Teachers TV if you register (free) - Click here

The Code Book (ISBN 1-85702-889-9) by Simon Singh

See Simon Singh's website for further information www.simonsingh.net 

This can be integrated by entering pupils into the Cipher Challenge which is open to Year 10/11 pupils and begins in September.  Click here

The Cipher Challenge has issued a Teachers Pack click here

For other resources on codes and ciphers click here