When you’ve watched the video try these questions.

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

Drag the numbers to the right place in the Venn Diagram. If the number is in both sets, make sure to place it in the intersection, where the sets overlap. If the number is not in either set, place it in the box at the bottom.

Drag each statement to the correct box.

This activity is based on an original idea in “Thinking Through Mathematics. Strategies for Teaching and Learning. Maths4Life”, published by the National Research and Development Centre.

This quiz has been doing the rounds on social media. Apologies to the author, but I can’t credit you as I don’t know who you are!

A very common mistake in maths exams is to forget to label the axes of a graph. Here are 10 graphs without labels on the y axis. Can you use your skill and judjement to work out what they should be? Click on the graph to enlarge it.

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 parentsÂ or anyone who would like to have a go!

Download the student booklet here.Â 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.

TopicsÂ 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.

#### Estimating L1, L2 & GCSE (Free Version) *Includes Challenge*

An informative video highlighting the importance of checking your calculations by estimation.

Challenge your friends to this Kahoot!