# Units of Work

## Probability Distributions

- Units of Work
- Statistics
- Level Five

This unit aims to introduce students to concepts that are important in probability. The emphasis should be on working slowly taking the time to let the students grasp the ideas that underlie the activities presented. All the ideas are important as a base for future learning in this area of mathematics.

## Egyptian Fractions

- Units of Work
- Number and Algebra
- Level Five

This unit has a brief look at what is known about Egyptian Fractions. These are unit fractions – fractions whose numerator is one. We look at how fractions can be represented in terms of Egyptian Fractions. Finally we suggest a web site that students might like to use as resource material for a small project.

During this unit, students gain considerable practice in adding and subtracting fractions. They also look for patterns and will need some algebra to handle these. The approach recommended for most students working at Level 5 is to explore with number, then to generalise with algebra. Some students may be able to be extended by making conjectures and then exploring/testing/proving.

## The Scientist versus the Spin Doctor

- Units of Work
- Statistics
- Level Five

This unit is intended to develop the critical thinking required to evaluate statistical reports prepared by others. In order to be in a position to evaluate, students will need to be familiar with making valid statistical statements from data provided and the process of selecting and presenting statistical information for a target audience. Such skills need to be practised within a meaningful context.

This unit of work has been prepared in such a way as to provide the teacher with a context that has science and geography knowledge at a level accessible to middle school students, or teachers may use the structure of this unit, overlaid with their own context.

## Square Xs

- Units of Work
- Number and Algebra
- Level Five

This unit looks at ratio problems related to the Square Xs Problem below. The idea is to provide help for students to form and use quadratic equations to solve problems.

**The Square Xs Problem** A square has an area, in m², that is a number nine less than six times the length of one side (in m). Find the dimensions of the square.

## Mary's Garden

- Units of Work
- Number and Algebra
- Level Five

The content of this unit should follow delivery of linear algebra and linear graphing at Level 5. We have available a large range of activities that can be used for developing some basic concepts in algebra. Students often complain that they cannot see the point of learning algebra so all of the teaching of skills here is placed within contexts. The intention of this unit is not to teach skills in isolation, but rather to use each activity for developing all the concepts. It is not suggested that this unit should replace the skills practice traditionally used in the teaching of algebra. It does, however, provide the opportunities for discussion and development of concepts. As each learning outcome is explored there will probably be need for consolidation through more traditional exercises, such as those found in text books, worksheets or that can be written on a whiteboard. Some students may be quick to grasp these concepts and would benefit from extension tasks such as those found in the Rich Learning Activities.

## It takes a village...

- Units of Work
- Number and Algebra
- Level Four

The purpose of this unit of five sessions is to have students understand the financial challenges that superannuitants in their local community may face, to research the community resources and services that are available to support the older citizens, and to implement a (short term) programme of help for at least one older community member.

## Rights and Responsibilities

- Units of Work
- Number and Algebra
- Level Four

The purpose of this unit of lessons is for students to make and implement a small business plan for a service or a product, and to explore the producer/consumer relationship, while keeping a close eye on a budget.

## A Measured Response

- Units of Work
- Number and Algebra
- Level Four

The purpose of this unit of five lessons is to have students identify a need, plan a response, seek feedback, design and build a ‘product’, applying number, measurement and technology knowledge and skills.

## Sports figures

- Units of Work
- Number and Algebra
- Level Three

The purpose of this series of lessons is to have students evaluate data displays, identify which is the most effective and say why, investigate the sport and recreation dispositions and habits of the students in their school, and present data using a display they have identified as effective.

## Play dough

- Units of Work
- Number and Algebra
- Level One

The purpose of this unit of five sessions is to develop number, measurement and shape understanding and skills, through making and working with play dough.