# 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

• Starter
• 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)
• 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)
• Independent work

15 min

##### Topic

Fractions and percentages including converting between units of measure.

##### Ideal for:

Extending understanding

• Starter
• Plenary
• Group work

#### Plan a festival

45 min

##### Topic

Percentages of amounts

Embedding skills

##### Possible uses:
• Homework
• Independent work
• Project
• Group work

#### 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)
• 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

Embedding skills

• Starter
• 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

• Group work
• Project

#### 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

#### 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

Embedding skills

• Plenary
• 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

• 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:
• Independent work
• Group work
• Project

#### 5 & 7 difference

30 min

##### Topic

Forming and solving simultaneous equations

##### Ideal for:

Extending understanding

• Plenary
• Group work

30 min

Embedding skills

• Group work
• Homework

#### A formula for prime numbers

45 min

##### Topic

Algebraic proof and prime numbers

##### Ideal for:

Enriching knowledge

##### Possible uses:
• Independent work
• Group work
• Project

#### 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

Embedding skills

• Starter
• 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
• 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:
• Independent work
• Project

#### Problem 12 - Dropped!

30 min

##### Topic

Repeated percentage change

Embedding skills

##### Possible uses:
• Independent work
• Homework
• Plenary

#### Swimming

30 min

##### Topic

Ratio, fractions, proportion

##### Ideal for:

Extending understanding

##### Possible uses:
• Independent work
• Homework

#### What can you see?

60 min

##### Topic

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

##### Ideal for:

Enriching knowledge

• Group work

30 min

Angles

Embedding skills

• Starter
• Homework

#### Building Bridges

60 min

##### Topic

Similar triangles, angles and length

##### Ideal for:

Enriching knowledge

• Group work

#### Zigzag Area 1

45 min

##### Topic

Area and perimeter

##### Ideal for:

Extending understanding

##### Possible uses:
• Independent work
• Homework

#### Hidden treasure

15 mins

##### Description

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

loic

Embedding skills

• Starter
• Group work
• Plenary
• Homework

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.

##### Ideal for:

Enriching knowledge

• Starter
• Group work
• 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:
• 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

#### 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

#### Fighting the Epidemic

60 min

##### Topic

Calculating the likelihood of expected outcomes

##### Ideal for:

Enriching knowledge

• Group work

#### 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

Embedding skills

• Starter
• Homework
• Project
• Group work

15 mins

##### Description

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

##### Topic

Interpreting probabilities

Embedding skills

• Starter
• 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
• 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

Embedding skills

• Starter
• Plenary
• Homework

#### 20 Problems - Problem 15

15 mins

##### Description

Generate data from summary statistics.

##### Topic

Mean, median, mode

Embedding skills

• Starter
• Plenary
• 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

Embedding skills

• Group work