S3-3: Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary.
Elaboration on this Achievement Objective
This means students will understand that probability is about the chance of outcomes occurring. At Level Three students should recognise that it is not possible to know the exact probability of something occurring in most everyday situations, for example the chance of a day in March being fine. They should understand that trialling must be used to gain information about the situation and that the results of trial samples vary, for example March 2008 is likely to be different from March 2009. Contrived chance events are used to highlight the variation between expected outcomes from models, and experimental outcomes from trialling. Level Three students are expected to use systematic methods such as listing, tree diagrams with equally likely outcomes, or tables to find all the possible outcomes of simple situations such as tossing coins, drawing cards, or rolling dice. They should accept that experimental samples from those situations, for example tossing a coin ten times, vary from one another, and from the proportions expected from a model, that is, most times five heads do not come up.
Teaching resources for this Achievement Objective
Level Three
Statistics
Rich learning activities
The purpose of this activity is to engage the students in finding an experimental probability and using this to model the outcome of a given scenario.
Level Three
Integrated
Figure It Out activities
This is a level 3 number and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.A PDF of the student activity is included.
Level Three
Integrated
Figure It Out activities
These are level 3 x problems from the Figure It Out series.A PDF of the student activity is included.
Level Three
Statistics
Picture book activities
This is an activity based on the picture book A Very Improbable Story
Level Three
Statistics
Problem solving activities
Level Three
Integrated
Units of Work
This unit introduces students to combinations as a type of situation that multiplicative thinking can be applied to.
Level Three
Statistics
Units of Work
In this unit we investigate ways of systematically counting all the possible outcomes of an event. One approach is to use tree diagrams.
Level Three
Level Four
Statistics
Figure It Out activities
This is a level 3 and 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.
Level Three
Integrated
Figure It Out activities
These are level 3 number and statistics problems from the Figure It Out series.A PDF of the student activity is included.
Level Three
Statistics
Figure It Out activities
This is a level 3 statistics activity from the Figure It Out series.A PDF of the student activity is included.
Level Three
Statistics
Problem solving activities
Level Three
Level Four
Statistics
Figure It Out activities
This is a level 3 and 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.
Level Three
Statistics
Figure It Out activities
This is a level 3 probability activity from the Figure It Out theme series.A PDF of the student activity is included.
Level Three
Integrated
Figure It Out activities
These are level 3 number, statistics, and algebra problems from the Figure It Out series.A PDF of the student activity is included.
Level Three
Statistics
Problem solving activities
Level Three
Integrated
Figure It Out activities
These are level 3 number, algebra, and statistics problems from the Figure It Out series.A PDF of the student activity is included.
Level Two
Level Three
Integrated
Figure It Out activities
This is a level 3 probability and level 2 number activity from the Figure It Out theme series.A PDF of the student activity is included.
Level Three
Integrated
Units of Work
This unit seeks to connect learning outcomes, and provide problem solving opportunities 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...
Level Three
Statistics
Units of Work
In this unit we use spinners to develop our understanding of the probability of simple events occurring.
Level Three
Level Four
Integrated
Figure It Out activities
This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. It is also a level 3 statistics activity.A PDF of the student activity is included.
Level Three
Level Four
Integrated
Figure It Out activities
This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. It is also a level 3 statistics activity.A PDF of the student activity is included.
Level Three
Integrated
Figure It Out activities
These are level 3 number and statistics problems from the Figure It Out series.A PDF of the student activity is included.
Level Three
Statistics
Units of Work
In this unit we take samples of blocks from a bag and use them to make predictions about the blocks that the bag actually contains. We discuss the difference between theoretical probability and experimental estimates of probability.
Level Three
Statistics
Figure It Out activities
This is a level 3 probability activity from the Figure It Out theme series.
Level Three
Integrated
Figure It Out activities
These are level 3 statistics, geometry, algebra, and number problems from the Figure It Out series.A PDF of the student activity is included.