Here is a complete lesson with 18 activities and some exam questions at the end to see if you have understood.

This puzzle has become very popular on social media. Why not share it on your page and see if your friends can get it right?

Here is the solution.

## howmanytriangles

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.

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

Reading a timetable

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.

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.

Multiplication Facts 9 times table

What others think

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!

Here’s a quiz which involves rounding, addition and subtraction for Motor Vehicle students. Each time you do it you will get a different selection of questions. Many thanks to Auto Trader for the adverts.

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.

The interactive version is here and the worksheet version is here.

This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.

This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.

This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.

This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.

Here is a great phone app that will help you with your arithmetic so you don’t need to be afraid when you are faced with that non-calculator exam. It’s called Maths Tricks and shows you lots of short cuts to performing calculations and gives you endless practice to improve your speed and accuracy. Best of all it’s free!

https://play.google.com/store/apps/details?id=com.dexterltd.maths.tricks_lite

You can find it on Google Play. I am recommending this because it is good, not because I have any connection to the app.

This game helps you practice giving the right change. My first job was in Boots the Chemist- learn this skill and maybe you could get a job in a shop.