The Sheaf Valley Maths Trail is a short walk starting outside Sheffield City College on Granville Road, along the footpath to Sheffield Station and the steel blade sculpture, behind the station to the steel steps and the amphitheatre, up the hill to the Cholera Monument and then back to college via Clay Wood. Along the way you will answer questions on many different aspects of mathematics. It is suitable for school groups, college students studying Functional Skills, home schoolers and their parents or anyone who would like to have a go!

Download the student booklet here. It is best printed as a booklet.

There are also a teachers booklet and a powerpoint which I will send to you on request. Email graham@mathswithgraham.org.uk to request these. Please let me know who you are planning to use it with.

Topics touched on on the trail include

Number

Counting

Multiplication

Fractions

Time calculations

Calculating journey cost

Speed Distance Time calculations

Shape and Space

Measuring length

Estimating length and weight

Symmetry (Line and Rotational)

3 dimensional shape

Angles

Circle calculations

Volume of a cuboid

Area of irregular shapes

Data Handling

Averages

Feel free to adapt the trail by missing out some questions and adding others to make it suitable for your students/pupils.

Split your group into teams of 3 or 4 people. Make sure less able students are paired with more able students. Each team will need a DIY tape measure, a large ball of string, a large protractor, a pencil and a calculator. You need to work out the logistics of ensuring there is someone to help at the various stopping points.

Tell your students to stay together, look after each other and take extra care when crossing roads. If this is a school/college outing you will need to fill in a risk assessment.

This exercise involves reading and analysing data from charts, calculating averages and percentages and estimating length. It will also help you with the Driving Theory Test and hopefully help you to stay safe when you are driving.
There is an interactive version here and a worksheet version here.

Do you remember the difference between mean, median and mode? Check your knowledge by having a go at this jigsaw.

Here is a crossword to help you with some of the important vocabulary you need for statistics at GCSE level. You can do the interactive version or print off a paper copy and check you answers later on the interactive version. There are a few non-mathematical clues!

To play this 2 player game from Transum you need to be able to calculate mean, median and range.

To do this quiz you need to understand the mean, mode, median and range.

Download the pdf, print it and cut out the dominoes. Work with a friend to put them together correctly or play dominoes by sharing the dominoes and taking it in turns to place the next domino. If you can’t go the other player has another turn. The winner is the first to place all their dominoes correctly.

Finding the Median Dominoes

Here is an excellent video that shows how statistics have shaped our world. How they have been used to show smoking causes causes lung cancer, to translate languages and even to understand our feelings.

The Joy of Stats

According to Vimeo

“Documentary which takes viewers on a rollercoaster ride through the wonderful world of statistics to explore the remarkable power they have to change our understanding of the world, presented by superstar boffin Professor Hans Rosling, whose eye-opening, mind-expanding and funny online lectures have made him an international internet legend.”

Download, print and cut out the triangles. Work with a friend to try and match all the questions with the correct answer.

Finding Averages and Range

Remember the range is the difference between the biggest and smallest number.
The mean is the sum of all the data divided by the number of data items.
The median is the middle number when the data is arranged in order.
The mode is the most frequent number.

Many thanks to Mr Barton for the original jigsaw.

If you must cheat here is the solution.

Print out the jigsaw and cut out the triangles. Work with a friend to try to match all the questions with the answers.

Remember to find the mode look for the most frequently occuring data item. To find the mean add up all the data and divide by the number of data items.

Thanks to Mr Barton for the original jigsaw.

Download and print out the dominoes. Cut them out, then play like dominoes or simply match the questions and answers.
Finding the Mode Dominoes

Remember the mode is the most frequent data item.

Thanks to Mr Barton for the original jigsaw.