Here is a complete lesson with 18 activities and some exam questions at the end to see if you have understood.
Here is the solution.
The solution to the “How many triangles?” puzzle.
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.
Topics touched on on the trail include
Reading a timetable
Calculating journey cost
Speed Distance Time calculations
Shape and Space
Estimating length and weight
Symmetry (Line and Rotational)
3 dimensional shape
Volume of a cuboid
Area of irregular shapes
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 is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.
Be systematic! What sort of numbers are important to help you solve this problem?
How many triangles are in this shape? (A Transum starter)
When you are absolutely sure you have counted them all, click here and press the yellow button to see if you are right.
Download, print and cut out the triangles. Work with a friend to try and match all the questions with the correct answer. Ideal for Esol students learning to count in English.
The Tower of Hanoi is one of the most famous mathematical puzzles. See if you can work out how to do it with 3, 4, 5, 6 and 7 discs. Then see if you can do it using the minimum number of moves.
Here’s a quick vocabulary exercise for Entry Level 2 students.
Lots of my ESOL students still get confused with some numbers. Seventy becomes 17 rather than 70 and sixteen is sometimes written as 60 rather than 16. Try this matching quiz to see if you can get them right.