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

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).

Mean, Median, Mode and Range

Here are some other Maths Kahoots! Please let me know your favourites and I will add them to this list.

Corbett Maths

Multiplication Facts 9 times table

Rounding Whole Numbers

What others think

Ticktock Maths

Great maths teaching ideas

Quizizz-an alternative to Kahoot!

The Math Hatter

Practice your addition with this quiz. Compete against your friends to see who can get them all right in the quickest time. Can you get them all right in less than a minute?

Use this quiz to practice your tables. Compete against your friends to see who can get 10 right in the quickest time. Can you beat 10 right in 20 seconds?

It’s a new term and I’m getting to know my new students. Many of them have something in common. They don’t know their multiplication tables! Here’s a quiz to help you practice. Keep practicing until you can get them all finished within the 5 minute time limit.

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.

A good game to practice your division skills.

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’s a great music video from the Proclaimers.

Listen carefully to the lyrics and add up how many miles are mentioned altogether!

Scroll down to see the answer.

(8×500)+(4×1000) = 8000 miles

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!