Maths Without Limits
Opening Young Minds to Endless Possibilities
Mini Explorations

Note: As of October 2023, these shorter resources are brand new.  I am actively working on developing these and hope to post more shortly.

Guidance for these can be found in the speaker notes for each slide show.

###### Money Puzzle: Notes and Coins

This unit begins with a numberless problem, which we try to to solve by putting different numbers in. In the process, we look at UK coinage and notes and the patterns in the numbers. There is then a...

###### Cubes, Mice and Elephants

Maths turns up in surprising places! This unit explores the intriguing question of why mice get cold more quickly than elephants. In exploring this, we need to understand volume, surface area, and...

###### Multiplying and Dividing with Two-step Functions

This unit explores the idea that carrying out certain calculations mentally (eg doubling, halving, multiplying and dividing by ten) is relatively easy and that these operations can then be combined...

###### Money Puzzle: Change

This unit begins with a numberless problem, which we try to to solve by putting different numbers in. In the process, we look at UK coinage and notes and the patterns in the numbers. There are then...

###### The Volume of Water

This activity establishes, through practical investigation, the equivalence of millilitres and cubic centimetres. Important Note: Teacher or parent guidance for using these slides can be found in...

###### Equivalent Measurements

This exploration is designed to secure the skills needed to convert measurements in metres and centimetres to the same format to allow comparisons to be made. Important Note: Teacher or parent...

###### Volumes of Cuboids

This activity introduces the concept of volume as the space taken up by a solid shape and explores how volumes can be compared by counting cubes. Once we have learned the concepts, we are given an...

###### Capacity Scales

This unit looks at a variety of different scales and develops the skill of reading them, by working out what the intervening marks represent between various numbered marks.The exploration variously...

This activity is aimed at children who have mastered the standard written method of addition and are looking for a greater challenge. The various tasks give lots of practice of the addition skill as...

###### Parallel and Perpendicular Lines

This activity introduces the concept of parallel and perpendicular lines.  The children use spotty paper to draw their own lines. Once they have learned the concepts, the children play a talking...

###### Angles and Turning

This activity explores the concept of angle as turning. We are introduced to the straight angle and the reflex angle. The children use spotty paper to draw their own angles. Once they have learned...

###### What are angles?

This activity introduces the concept of angles.  We meet acute, right and obtuse angles where lines intersect and learn to recognise them at different orientations. The children use spotty paper to...

###### Intersecting Lines

This activity explores the concept of intersecting lines.  The children use spotty paper to draw their own lines. Once they have learned the concepts, the children play a talking game to consolidate...

###### Horizontal, Vertical and Diagonal Lines

This activity introduces the concept of horizontal, vertical and diagonal lines.  The children use spotty paper to draw their own lines. Once they have learned the concepts, the children play a...

###### Drawing Straight Lines

Children can have real trouble drawing lines accurately.  This is a skill that needs carefully taught.  This activity teaches how to draw straight lines using a ruler to join dots on spotty paper....