A key skill in becoming fully numerate (and to becoming an independent adult) is the ability to make your own decisions and learn from them. This key skill is central to these activities: they have been developed to allow learners to choose their own methods and ways of recording, then present their findings in whichever way they decide.

Learners are encouraged to assess each other’s work and provide feedback, thus extending the reasoning and their ability to communicate, numerically and in general. There are 17 activities here in total, with relevant resources including powerpoint and pdfs. The activities are aimed towards year 6 pupils.

Below are all the activities that are available, along with a brief description of each:

## Tons of teeth

Three activities that encourage learners to use and apply number patterns, interpret graphs and interpret and use data.(Resources)

Two linked activities that entail learners using their numerical skills to consider the cost effectiveness and price comparisons with real-life contexts. (Resources)

## Childminding

Three activities in which learners solve multi-step problems that involve time, money and interpreting tables. (Resources)

## Stacking boxes

Three activities that encourage learners to use spatial reasoning to solve problems. (Resources)

## How do they know?

Three activities that require learners to use their understanding of shape and space to solve a range of problems. (Resources)

## Aeroplane

These two activities focus on flight, including the real-life context of air travel. (Resources)

## Ambulance

Three activities that bring together different aspects of shape, space and number. (Resources)

## Fraction quilt

The focus of these two linked activities is on fractions. (Resources)

## The long and the short of it

Three activities that use the context of racing. Learners use their numerical skills to work out who will win a race, then interpret a graph of the race, completing a ‘newspaper’ report, and play and create a game using positive and negative numbers. The first activity was included in the 2014 National Numeracy Tests (Reasoning) and contains stimulus materials and a teachers’ script, test questions, a markscheme and learner exemplars. (Resources)

## Balance

In these two linked activities, learners use their numerical reasoning to work out the mass of an object, then solve and create balance puzzles. The first activity was included in the 2014 National Numeracy Tests (Reasoning) and contains the test question, markscheme and learner exemplars. (Resources)

## Medals

These two activities share the context of medals. Learners compare the cost of a gold and silver Olympic medal, then review and evaluate the accuracy of a newspaper headline relating to the cost of pure-gold medals. The first activity was included in the 2014 National Numeracy Tests (Reasoning) and contains the test question, markscheme and learner exemplars. (Resources)

## Mirror and tinsel

In these two linked activities, learners use their numerical reasoning in relation to area and perimeter. The first activity was included in the 2014 National Numeracy Tests (Reasoning) and contains the test question, markscheme and learner exemplars. (Resources)

## Pens

In these two number-based activities, learners find different ways to buy a fixed number of pens, then play a game from NRICH, based on factors and multiples. The first activity was included in the 2014 National Numeracy Tests (Reasoning) and contains the test question, markscheme and learner exemplars. (Resources)

## Pictures for numbers

These two activities focus on pictorial representation. Learners solve a problem in which symbols stand for numbers then explore how the Mayans represented numbers. The first activity was included in the 2014 National Numeracy Tests (Reasoning) and contains the test question, markscheme and learner exemplars. (Resources)

## Ultrasaurus

These two activities have a common theme of tall buildings. The first activity was included in the 2015 National Numeracy Tests (Reasoning). This is followed by one further activity. (Resources)

## Ages

These two activities link to the theme of age. The first activity was included in the 2015 National Numeracy Tests (Reasoning) and here learners use information about the ages of two people to work out the age of a third person. In the second activity, learners explore the relationship between the ages of the two people. (Resources)

## Monster's feet

These two activities focus on numerical and spatial reasoning. The first activity was included in the 2015 National Numeracy Tests (Reasoning) where learners work out the size of shoes that a monster would need. In the second activity, learners explore patterns created by the very strange way in which the monster moves. (Resources)