# Motivating students at Key Stage 4

The AMSP has a wealth of experience of providing enrichment and promoting the study of maths.

We have collated a selection of activities and resources for you to use with your classes to motivate and enrich their learning in mathematics. The resources vary in length and style, and can be used in different ways, such as class activities, individual/independent work, set for homework etc.

## Resources

#### Try being a Data Detective

**

60 mins

##### Topic

Version B - Scatter graphs (Foundation)

Version C - Box plots, measures of central tendency and spread and scatter graphs

##### Ideal for:

Enriching knowledge

##### Possible uses:

- Starter
- In In-lesson task
- Group work
- Project
- Homework

#### Try being a freelance filmmaker

**

60 mins

##### Topic

Version B - Percentages, ratio and proportion (Foundation)

Version C - Percentages, ratio and proportion, geometric sequences (Higher)

##### Ideal for:

Enriching knowledge

##### Possible uses:

- Starter (the initial part of the resource)
- In-lesson task
- Independent work

#### Working for a cause you are passionate about

**

60 min

##### Topic

Percentages and measures of central tendency and spread

##### Ideal for:

Enriching knowledge

##### Possible uses:

- Starter (the initial part of the resource)
- In-lesson-task
- Independent work

#### Shaded Squares 2

**

15 min

##### Topic

Fractions and percentages including converting between units of measure.

##### Ideal for:

Extending understanding

##### Possible uses:

- Starter
- In-lesson task
- Plenary
- Group work

**Solution

**

#### Plan a festival

**

45 min

##### Topic

Percentages of amounts

##### Ideal for:

Embedding skills

##### Possible uses:

- Homework
- Independent work
- Project
- In-lesson task
- Group work

**Teacher resource

**

#### Where maths meets the world of work – urban regeneration

**

60 min

##### Topic

Version B and C (Foundation and Higher) - problem solving using number and measurement covering area, scale drawings, profit and percentages

##### Ideal for:

Enriching knowledge

##### Possible uses:

- Starter (the initial part of the resource)
- In-lesson-task
- Homework
- Group work
- Project

**

#### Modulo arithmetic

**

15 mins

##### Description

This short task is an interesting way of embedding knowledge of operations. It could be combined with the recording of ‘Race to the Target!’ which can be found here

##### Topic

Operations with modulus

##### Ideal for:

Embedding skills

##### Possible uses:

- Starter
- In-lesson task
- Plenary
- Homework

**

#### Squared Squares

**

60 min

##### Description

This activity combines basic operations with problem solving to discover how squares can be combined into squares. A link to a Numberphile video is included.

##### Topic

Arithmetic problem solving

##### Ideal for:

Enriching knowledge

##### Possible uses:

- In-lesson task
- Group work
- Project

**Teacher notes

**

#### Dastardly Digits

**

30-45 mins

##### Description

This Maths Club activity support students through the maths behind a ‘mind reading’ trick, providing an engaging and enriching lesson.

##### Topic

Addition of numbers extending to algebra

##### Ideal for:

Extending understanding

##### Possible uses:

- In-lesson task

**Worksheet

**Teachers notes

**

#### Equations Mystery

**

45 mins

##### Description

This activity develops problem solving skills as students use facts to decipher a message. Students could work on it individually but it is ideal for group work.

##### Topic

Solving equations and inequalities

##### Ideal for:

Embedding skills

##### Possible uses:

- Plenary
- In-lesson task
- Group work

**

#### Maths feast - Functions

**

30 min

##### Description

This Maths Feast practice round is ideal for encouraging students to develop independent knowledge around this topic.

##### Topic

Investigation of composite functions

##### Ideal for:

Extending understanding

##### Possible uses:

- In-lesson task
- Homework
- Group work

**

#### Artzee Maths

**

60 mins

##### Description

This graphing app (Desmos or GeoGebra) based activity engages students by using transformations of functions to create artistic designs – encourage your students to get creative!

##### Topic

Transformations of functions and graphs

##### Ideal for:

Enriching knowledge

##### Possible uses:

- In-lesson task
- Independent work
- Group work
- Project

**

#### 5 & 7 difference

**

30 min

##### Topic

Forming and solving simultaneous equations

##### Ideal for:

Extending understanding

##### Possible uses:

- In-lesson task
- Plenary
- Group work

**Solution

**

#### Solving equations maze

**

30 min

##### Topic

Solving linear and quadratic equations

##### Ideal for:

Embedding skills

##### Possible uses:

- In-lesson task
- Group work
- Homework

**Student resource

**Teacher notes

**

#### A formula for prime numbers

**

45 min

##### Topic

Algebraic proof and prime numbers

##### Ideal for:

Enriching knowledge

##### Possible uses:

- In-lesson task
- Independent work
- Group work
- Project

**Solutions

**

#### Is Greenland bigger than Africa 2

**

15 mins

##### Description

This activity encourages students to think about how 2D maps represent a 3D globe. It examines the differences between the Mercator and Peter’s projections which may generate socio-political and mathematical discussions.

##### Topic

Scale factors, maps

##### Ideal for:

Embedding skills

##### Possible uses:

- Starter
- In-lesson task
- Homework

**

#### Cable Car

**

15 mins

##### Description

This question is available as a poster for displays and is ideal as a starter, plenary or short homework task.

##### Topic

Ratio, fractions, proportion

##### Ideal for:

Enriching knowledge

##### Possible uses:

- Starter
- In lesson task
- Homework
- Independent work
- Plenary

**

#### Kinematic Extension

**

60 mins

##### Description

Examine real life situations using the suvat equations with a structured activity to support students.

##### Topic

Compound units, modelling

##### Ideal for:

Extending understanding

##### Possible uses:

- In-lesson task
- Independent work
- Project

**

#### Problem 12 - Dropped!

**

30 min

##### Topic

Repeated percentage change

##### Ideal for:

Embedding skills

##### Possible uses:

- In-lesson task
- Independent work
- Homework
- Plenary

**Hints

**Solution

**

#### Swimming

**

30 min

##### Topic

Ratio, fractions, proportion

##### Ideal for:

Extending understanding

##### Possible uses:

- In-lesson task
- Independent work
- Homework

**Solution

**

#### What can you see?

**

60 min

##### Topic

Fractions, area, ratio, properties of shapes, angles, parallel lines

##### Ideal for:

Enriching knowledge

##### Possible uses:

- In-lesson task
- Group work

**Teacher resource

**

#### Pentagonal Desks

**

30 min

##### Topic

Angles

##### Ideal for:

Embedding skills

##### Possible uses:

- Starter
- Homework

**Solution

**

#### Building Bridges

**

60 min

##### Topic

Similar triangles, angles and length

##### Ideal for:

Enriching knowledge

##### Possible uses:

- In-lesson task
- Group work

**Cards

**Solution

**

#### Zigzag Area 1

**

45 min

##### Topic

Area and perimeter

##### Ideal for:

Extending understanding

##### Possible uses:

- In-lesson task
- Independent work
- Homework

**Solution

**

#### Hidden treasure

**

15 mins

##### Description

Students use clues to identify the location of 5 items of buried treasure.

##### Topic

loic

##### Ideal for:

Embedding skills

##### Possible uses:

- Starter
- Group work
- In-lesson task
- Plenary
- Homework

**

#### Quadrilateral Mix-up

**

30 mins

##### Description

This activity practices problem solving skills as students sort the properties of shapes for different quadrilaterals. It is ideal for recapping knowledge.

##### Topic

Quadrilateral properties

##### Ideal for:

Enriching knowledge

##### Possible uses:

- Starter
- Group work
- In-lesson task
- Plenary
- Homework

**

#### Hypercubes

**

30 mins

##### Description

This Maths Club Activity is perfect for extending your students ideas about spatial geometry.

##### Topic

Regular shapes in different dimensions

##### Ideal for:

Extending understanding

##### Possible uses:

- In-lesson task
- Group work
- Independent work

**

#### Not my cup of tea

**

15 min

##### Topic

Calculating independent and dependent combined events, systematic listing

##### Ideal for:

Enriching knowledge

##### Possible uses:

- Independent work
- Group work
- Plenary

**Solution

**

#### What are the best sleeping arrangements?

**

15 min

##### Topic

Problem solving using a systematic probability scaffold

##### Ideal for:

Extending understanding

##### Possible uses:

- Starter
- Independent work
- Group work
- Homework

**Solution

**

#### Fighting the Epidemic

**

60 min

##### Topic

Calculating the likelihood of expected outcomes

##### Ideal for:

Enriching knowledge

##### Possible uses:

- In-lesson task
- Group work

**Cards

**Solution

**

#### Where’s the maths in that?

**

15 mins

##### Description

There are many images to provoke discussion and slide 20 encourages students to discuss ways to combine many flavours. Students could also do surveys, display data, discuss probabilities arising. How would you decide how to run an ice cream shop? Probability in the real world.

##### Topic

Combinations, investigations

##### Ideal for:

Embedding skills

##### Possible uses:

- Starter
- In-lesson task
- Homework
- Project
- Group work

**

#### Tornado Alley

**

15 mins

##### Description

Students use their interpretation of probabilities to critique a news statement.

##### Topic

Interpreting probabilities

##### Ideal for:

Embedding skills

##### Possible uses:

- Starter
- In lesson task
- Plenary

**

#### Geometric Distribution

**

15 mins

##### Description

Students develop their knowledge of the geometric distribution by looking at real world situations that can be modelled in this way.

##### Topic

Interpreting probabilities

##### Ideal for:

Enriching knowledge

##### Possible uses:

- Starter
- In-lesson task
- Plenary
- Homework
- Independent work
- Project

**

#### Are you sure?

**

15 mins

##### Description

Generate discussion about sampling and statistics - how can we draw conclusions?

##### Topic

Sampling and population statistics

##### Ideal for:

Embedding skills

##### Possible uses:

- Starter
- Plenary
- Homework

**

#### 20 Problems - Problem 15

**

15 mins

##### Description

Generate data from summary statistics.

##### Topic

Mean, median, mode

##### Ideal for:

Embedding skills

##### Possible uses:

- Starter
- Plenary
- In-lesson task
- Homework

**

#### How fast can you run?

**

60 mins

##### Description

Draw and interpret frequency tables, cumulative frequency diagrams, box and whisker and histograms while looking at 100m race times.

##### Topic

Displaying and Analysing continuous data

##### Ideal for:

Embedding skills

##### Possible uses:

- Group work
- In-lesson task
- Project

**

## Other support

### Professional development

The AMSP offers professional development for teachers of maths at Key Stages 3 and 4. These opportunities are often free and, in some cases, additional subsidies are available to enable more teachers to participate.

More information**

### Enrichment events

The AMSP can help you with some great ways to engage your 11-16 students with maths, and inspire them to want to continue to study it beyond GCSE.

More information**