Category: Number

Famous numbers sequences card sort

Here’s a card sort I made to introduce my new year 7s to famous number sequences. The idea is students cut out and group the cards into 6 famous numbers sequences: Square numbers Cube numbers Triangle numbers Fibonacci Sequence Even numbers Odd numbers Each group should contain: Name Pictorial representation The numbers A fact about the sequence An explanation of how...

You’ve never seen the GCSE Maths curriculum like this before…

What you’re looking at is the GCSE Mathematics curriculum. Each node represents a topic, e.g. transformations, ordering decimal numbers, frequency polygons etc. There are 164 nodes in the diagram representing all topics on both the foundation and higher tier curriculum. The nodes are connected by 935 links. Each link represents a connection between two topics whereby one is the prior...

Numberphile.com- brilliant maths enrichment videos

Numberphile.com is a website devoted to enrichment maths videos. The quirky, fast-paced style of the presenters is engaging and fun. Whether finding maths deliberately hidden in episodes of The Simpsons or finding the flaw in the Enigma code, Numberphile videos never fail to inspire. Here’s the latest one about shapes/ solids of constant width:

Fractions, decimals and percentages conversion notes and grid exercise

Here are some notes for pupils about how to convert between fractions, decimals and percentages. The idea is that they can add examples to them in the blank space around and inside the triangle: Here is a grid-filling exercise where they can apply the ideas in the notes. Forming groups of 4 to discuss their answers, mark correct if they...

Negative number reasoning with patterns

How do you explain that subtracting a negative has the same effect as adding the positive corresponding number? I’ve seen teachers use many analogies including: Thinking of sandcastles as +1s and holes as -1s… a sandcastle and a hole makes nothing (1 + -1 = 0). Playing golf and you score -2 on a hole, taking your score from -4...

Decimal line zooming

“Surely 3.12 is a lot bigger than 3.2 because 12 is bigger than 2…!” said one of my students the other day. I do see where students are coming from with this misconception and you can dive into place value and talk about hundredths being smaller than tenths, but another model that I’ve found successful is the “zooming in on...

G&T website shout out: IB Maths, ToK, IGCSE and IB Resources

I got an email from a reader, Andrew Chambers drawing my attention to a website he has built for IB students studying in Thailand. The content they study is generally equivalent to A-level. His site IB Maths, ToK, IGCSE and IB Resources features lots of resources to enrich maths learning of gifted and talented pupils at  KS3 and GCSE. In...

Types of number practice colouring fun

Here is a worksheet to give pupils lots of practice on identifying particular types of number. Perfect for a consolidation lesson. If they do it correctly the coloured boxes spell out the word FACTORS, which makes it easier to mark for you 😉 Click here to download the worksheet UPDATE: @StudyMaths has created a brilliant interactive online version of the...

Ideas for helping students tackle ‘wordy’ functional questions

Since the introduction of the ‘functional’ questions on the maths GCSE last year it has become important for pupils to improve the skill of taking a ‘wordy’ question and interpret what it is requiring them to do. Many pupils find this difficult and seem to give up before they have even read the question. Through a couple of strategies obtained...

Product of prime factors multiplication grid

I’ve got a small year 10 class that struggle with number work. We had good lesson looking at writing numbers as a product of prime factors, but they had a significant learning block in not being able to quickly find two factors of numbers when constructing their factor trees. I’ve made the following multiplication table that is adapted specifically for...

Dancing prime factors

Check out this wonderful animated visualisation for the prime factor form of numbers: click here to view. This super animation was made by the Data Pointed blog.

Numberphile- videos about numbers and stuff

Numberphile.com is a website your pupils simply must know about. It describes itself as “videos about numbers and stuff” which is a pretty good summary in my opinion. The videos are not tutorial skill-based offerings, but engaging adventures into interesting mathematical concepts and problems. I really like them as they show maths at its best: interesting problems and fascinating results, rather than...