Learning Sequence

Curriculum Achievement Objectives 
Specific
Learning Outcomes
The students will be able to: 
Units
of Work 
Level
1
Exemplar
Link
Link to Learning Objects

Level 1 Probability AO1

use everyday language to talk
about chanceclassify events as certain,
possible, or impossible

No
Way Jose 
Lonely
Pig 
Level 2
Link to Learning Objects

Level 2 Probability AO1

use dice etc to assign roles and discuss the fairness of gamesplay probability games and identify all possible outcomescompare and order the likelihood of simple events

That's
not fair 
recognise that not all things occur with the same likelihoodobserve some things are fairer than othersexplore to adjust the rules of games to make them fairer

The Cube and Coin Challenge 
Level
3
Exemplar
Link
Exemplar
Link
Link to Learning Objects

Level 3 Probability AO1

make predictions based on data
collectedidentify all possible outcomes of
an eventassign probabilities to simple
events using fractions (1/2, 1/6 etc)

What's
in the Bag? 
determine the experimental probability of simple events using frequency tablesdetermine the theoretical probability of simple events using percentages, fractions and
decimals
systematically find all possible outcomes of an event using tree diagrams and organised lists

I'm spinning 
systematically find all possible outcomes of an event using tree diagrams and organised lists

Counting
on Probability 
take samples and use them to make predictions

Predict Away 
take samples and use them to make predictionscompare theoretical and experimental probabilities

Long Running


make predictions based on the fraction of the spinner shaded compare theoretical and experimental probabilities

Spinners 
Level
4
Exemplar
Link

Level 4 Probability AO1

use relative frequency to predict events develop and evaluate strategies to win based on the relative frequency explain why probability is notan accurate predictor of events

Top Drop 
apply theoretical probabilities to solve problemsuse tree diagrams to find the possible outcomes for a sequence of eventsuse powers of numbers

Greedy Pig 
Level 4 Probability AO1

Level 4 Probability AO2


investigate probability in common situations;make and justify the probability of events in common situations;theoretically and experimentally examine the
probabilities of games of chance. 
Beat It 
find a theoretical probabilityuse more than one way to find a theoretical probabilitycheck theoretical probabilities by trials identify what a fair game is and how to make a unfair game fair

The Coloured Cube Question 
Heads and Tails 
use simulations to investigate probability in common situationspredict the likelihood of outcomes on the basis of an experiment;petermine the theoretical probability of an event;

Murphy's Law 
theoretically and experimentally examine the probabilities of games of chancedescribe the notion of "short run variability"estimate and find the relative frequencies of events 
Gambling:who really wins? 
Level
5
Exemplar
Link

Level 5 Probability AO2

find probabilities of events using probability treesinvent their own situations and ask probability questions in these
contexts

Probability Trees 
Level 5 Probability AO1

Level 5 Probability AO2


use longrun frequencies to estimate probabilities.compare the results of theoretical and experimental approaches to games of chance.use grids to list outcomes.use tree diagrams to list outcomes

Fair Games 
explain what a probability distribution isexplain how probabilities are distributedcalculate what happens to the distribution when variables are summed

Probability Distributions 
Level
6 
Level 6 Probability AO1

conduct straightforward experiments with coins, dice, spinners, and
other random event generatorsproduce and understand the concept of a random walkdevelop,understand and be able to use Pascalâ€™s Triangl;determine probabilities of a class that is just a little too complicated
for probability trees.

Investigating Random Processes 