# likelihoods

## Fair Games

- Units of Work
- Statistics
- Level Five

Many games of chance and activities in maths text books involve rolling two dice and combining the scores, usually by addition. Students often find the probabilities of such events difficult to calculate as they are confused between events (for example a score of 4) and outcomes (for example 3 and 1, 2 and 2, 1 and 3). This unit makes use of a variety of activities where the number of outcomes in the sample space is clearly different from the number of events.

## Houses

- Units of Work
- Geometry and Measurement
- Level Three

This unit seeks to connect learning outcomes across all five content strands, number, geometry, statistics, algebra, and measurement. The context of houses is used to develop concepts such as drawing and modelling 3-dimensional objects, using co-ordinate systems to locate position, finding all the possibilities of events, and identifying paths through simple networks. The unit provides an excellent vehicle for students to use a broad range of problem solving strategies.

## Lara's Equiprobable Dice I

- Problem Solving Activities
- Statistics
- Level Five

Find certain probabilities relating to rolling two dice

Devise and use problem solving strategies to explore situations mathematically (be systematic)

## Another Dartboard

- Problem Solving Activities
- Statistics
- Level Five

Predict probabilities of an event involving area

Make deductions from probabilities

Devise and use problem solving strategies to explore situations mathematically (guess and check, be systematic, look for patterns, draw a diagram, make a table, think, use algebra).

## Make the Highest Total

- Problem Solving Activities
- Statistics
- Level Five

theoretically and experimentally examine the probabilities of games of chance

devise and use problem solving strategies to explore situations mathematically (be systematic, use a table).

## Dominoes

- Problem Solving Activities
- Statistics
- Level Four

Apply counting strategies to the case of dominoes

Write an explanation of what they have done

Devise and use problem solving strategies to explore situations mathematically (be systematic, make a list, use a diagram).

## Bubblegum balls

- Problem Solving Activities
- Statistics
- Level Four

Identify the possible outcomes of an event

Follow a logical argument

Write a rule for the pattern

Interpret information and results in context (logic, be systematic)

## Penny's Pizza

- Problem Solving Activities
- Statistics
- Level Four

Make a list of possible outcomes as a method of finding probability

Express the outcome as a fraction

Devise and use problem–solving strategies to explore situations mathematically (make an organised list)

## Coin Shake-Up

- Problem Solving Activities
- Statistics
- Level Three

Predict the likelihood of an event based on data collected

Use a systematic approach to find all possible outcomes

Effectively plan mathematical exploration

## Grabbing CDs

- Problem Solving Activities
- Statistics
- Level Three

Systematically count outcomes

Compare the likelihood of events

Devise and use problem solving strategies to explore situations mathematically (systematic list, draw a picture, use equipment).