Learning Goals
Level 4
Level 5
Level 6
- Describe everyday
events and order
chances of
occurring
- List outcomes of
chance experiments
involving equally
likely outcomes
- Describe probabilities
using fractions,
decimals and
percentages
- Identify everyday
events where one
cannot happen if
the other happens
- Represent
probabilities as
decimals (zero to
one) and fractions
- Conduct chance
experiments using
computers
- Compare observed
and expected
frequencies in
experiments
- Identify events
where the chance
of one happening
does not affect the
chance of the other.
 event
 chance
Vocabulary
Understanding equally  likely
Level 7
- Define the terms:
sample space,
favourable
outcomes, trial,
events and
experiments
Level 10
-
Identify
complementary
events and use the
sum of probabilities
to solve problems
- List all outcomes of
two-step chance
experiments, with or
without replacement
using tree diagrams
or arrays.
-
Describe events using
‘at least’, exclusive
‘or’, inclusive ‘or’ and
‘and’.
- Describe results of
two- and three-step
chance experiments,
with and without
replacement and
determine probability
of events
- Construct sample
spaces for single-step
experiments with
equally likely
outcomes e.g. tossing a coin.
 outcome
 represent
 experiment
 probability
Percentage
frequency
trial
 conduct
sample
 assign
observed  expected
 space
favourable
determine
Inquiry
Investigation
Problem
Solver
(Pick 1)
Level 9
Represent events in
two-way table and
Venn Diagrams
- Calculate relative
frequencies from
given or collected
data to estimate
probabilities
- Assign probabilities
to the outcomes of
events and
determine
probabilities
 decimal  fraction
Skill Builder
(Pick 3 tasks)
Level 8
- Investigate concept of
independence
- Investigate
conditional
statements
- Evaluate the
appropriateness of
sampling techniques
where statements are
based on a sample.
Complementary sum
 Venn diagram
 array
independence
data
problems
replacement
 estimate
at least
exclusive inclusive
 tree diagram relative frequency
conditional represent
“The odds and evens game”
- Probability Outcomes
- Probability
- Probability Lines
- Probability Event Cards
(order them on a
probability line)
- Starting Probability
- Fair Games: Ups and Downs
- Fair Games: Island Hopping
- Fair Games: Round and
Round
- The probability Line
- MasterMath Introduction
to Probability
- Assigning Probabilities
- Probability (equally likely
outcomes)
- Experimental Probabilities
- Lists and Probability
- Possibility Spaces (sample
spaces)
- Single Event Probability
- Probability Obstacle Course
- Win, Win, Win!!!
- The Hare and the Tortoise
- Probability 1
- Probability 2
- Addition Rule (OR Rule)
- Dependent and
Independent Events
- Master Maths Theoretical
and Experimental Prob.






Animal’s sports day
http://nrich.maths.org/
7789
Probably
http://nrich.maths.org/
7245

Two and One
http://nrich.maths.org/2
857
Racing Odds
http://nrich.maths.org/9
21

The Lady or the Lions
http://nrich.maths.org/5
91
Last One Standing
http://nrich.maths.org/7
220

The better bet
http://nrich.maths.org/4
334
In a Box
http://nrich.maths.org/9
19

At Least One…
http://nrich.maths.org/7
286
Chances Are
http://nrich.maths.org/9
20
- Experiment. Probabilities 1
- Experiment. Probabilities 2
- ‘AND’ and ‘OR’ Rules
- AND and OR Rule
- Experiment. Probabilities 3
- Lists and Possibility Spaces
- Tree Diagrams
(Independent Events)
 Balls and Bags
http://nrich.maths.org/5
06
 Bet You a Million
http://nrich.maths.org/4
336
- Probability 1. Revision
- Conditional Probability
- Tree Diagrams (dependent
events)
- Probability (Exam Style
Questions 1)
- Schichi-fuku-jin


Thank Your Lucky Stars
http://nrich.maths.org/8
48
Scratch Cards
http://nrich.maths.org/5
83