# 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 supports students to form and use quadratic equations to solve ratio problems such as: **T he 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

In this unit skills are not taught in isolation, rather, activities are used for developing concepts. Students will be describing and showing a quadratic relationship, recognising the key features of a parabola, and finding unknowns from the graph of a parabola and from simple quadratic equations.

## It takes a village...

- Units of Work
- Number and Algebra
- Level Four

In this unit students come to understand the financial challenges that superannuitants in their local community may face, they research the community resources and services that are available to support the older citizens, and 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

In this unit students make and implement a small business plan for a service or a product, and explore the producer/consumer relationship. They apply number skills to auditing the budget and cashflow of a small business.

## A Measured Response

- Units of Work
- Number and Algebra
- Level Four

The purpose of this unit 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

In this unit students investigate the sport and recreation dispositions and habits of the students in their school, and present data using a display they have evaluated and identified as effective.

## Play dough

- Units of Work
- Number and Algebra
- Level One

In this unit students develop number, measurement and shape understanding, skills and language, through making and working with play dough.