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.
A great game from Transum to practice angle estimation.
I have recently discovered Kahoot! which is a free quiz game that anyone can use to make interactive quizzes. Competitors compete for points using their mobile phones or tablets to enter their answers. The quicker they choose the correct answer the more points they earn. It is very competitive and certainly provides plenty of pace to a lesson. It is completely free for both teachers and students to use. To start, set up an account at http://www.getkahoot.com and begin making quizzes.
Here is my first attempt. (I edited an existing one by improving the questions to include misconceptions and added a video for the start).
Here are some other Maths Kahoots! Please let me know your favourites and I will add them to this list.
What others think
The most recent Functional Skills Level 1 and 2 on-line practice tests can be downloaded here. You need to save and open the zip file than click on “start”.
There are lots of different methods to do long multiplication. This activity helps you perfect one- the grid method. It also tests you on your car knowledge! Grid multiplication for car lovers!
Download, print and cut out the squares. Work with a friend to try and match all the questions with the correct answers and make a shape
Here are the highlights of the 2015 Mens Final.
Can you use your skills to answer the questions? They range from easy Entry Level to GCSE questions involving data handling, time, distance, speed and Pythagoras. There is a Scale Drawing task that is very good practice for Level 1 students.
Fed up with your GCSE revision? Try these new quizzes. You’ll find lots of different topics. Beware, they are designed to catch you out! The authors have thought carefully about the mistakes you are likely to make. So when you get to the end of a quiz look carefully at the mistakes you have made and make sure you understand where you went wrong.
In May 2015 the United Kingdom went to the polls. A Conservative Government was elected. The UK uses the “first past the post” electoral system. The country is divided into 650 constituencies. The candidate with the most votes from each constituency is elected.
Most other countries in Europe use various forms of proportional representation. This means that the number of MP’s for each party would be proportional to the number of votes that were cast for them. (There are many different forms of PR, but in this exercise, to keep it simple we are going to work out the number of MPs by dividing the vote for each party by the total vote and then multiplying by 650, which is the total number of MP’s in the House of Commons. )
First fill in the missing numbers in this table. You will need a calculator. Remember that to round to two decimal places you need to look at the 3rd decimal place. If this is 5 or more round the 2nd decimal place up. If it is less than 5 then ignore it. eg 34.349239=34.35 to 2dp. 2.983432909=2.98 to 2 dp.
If you got the first exercise correct I want you to illustrate your results with two pie charts. Use this table to work out the degrees for each party. You can draw them in excel or with a protractor and pencil.
If you would rather do this exercise using a worksheet download here.
This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.