Learning Goals
Level 4
Vocabulary
Understanding
Level 5
Level 6
Level 7
Level 8
Level 9
Level 10
- list all outcomes of twostep chance experiments,
with or without
replacement using tree
diagrams or arrays.
- describe results of twoand three-step chance
experiments, with and
without replacement and
determine probability of
events
- describe possible
everyday events and
order chances of
occurring
- list outcomes of
chance experiments
involving equally likely
outcomes
- describe probabilities
using fractions,
decimals and
percentages
- define the terms: sample
space, favourable
outcomes, trial, events and
experiments
- identify complementary
events and use the sum
of probabilities to solve
problems
- 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
- Construct sample spaces
for single-step experiments
with equally likely
outcomes e.g. tossing a
coin.
- Describe events using
‘at least’, exclusive ‘or’,
inclusive ‘or’ and ‘and’
- 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  outcome
equally  likely
 represent
 decimal  fraction
 experiment
 probability
Percentage
frequency
trial
 conduct
observed  expected
sample space
favourable
 assign
determine
Inquiry
Investigation
Skill Builder
(Pick 3 tasks)
OR
Matheltics
(get a gold
medal, 85% or
higher on each
activity)
You can do them
all!
Problem Solver
(Pick One)
- assign probabilities to the
outcomes of events and
determine probabilities
- represent events in twoway table and Venn
Diagrams
Complementary sum
Venn diagram
array
independence
data
- calculate relative
frequencies from given or
collected data to estimate
probabilities
- investigate concept of
independence
- Investigate conditional
statements
- Evaluate the
appropriateness of
sampling techniques
where statements are
based on a sample.
problems
at least
exclusive inclusive
replacement tree diagram relative frequency
 estimate
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
- Master Math
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.
- Probability 1. Revision
- Conditional Probability
- Tree Diagrams (dependent
events)
- Probability (Exam Style
Questions 1)
- Schichi-fuku-jin
Completed all level 8
mathletics tasks to 85% or
better
- 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)
Completed all level 9
mathletics tasks to 85% or
better
Completed all level 4
mathletics tasks to 85% or
better
Completed all level 5
mathletics tasks to 85% or
better
Completed all level 6
mathletics tasks to 85% or
better
Completed all level 7
mathletics tasks to 85% or
better
Achieve 85% on the level 4
test to move onto the next
level
 Animal’s sports day
http://nrich.maths.org/77
89
 Probably
http://nrich.maths.org/72
45
Achieve 85% on the level 5
test to move onto the next
level
 Two and One
http://nrich.maths.org/2857
 Racing Odds
http://nrich.maths.org/921
Achieve 85% on the level 6
test to move onto the next
level
 The Lady or the Lions
http://nrich.maths.org/59
1
 Last One Standing
http://nrich.maths.org/72
20
Achieve 85% on the level 7
test to move onto the next
level
 The better bet
http://nrich.maths.org/4334
 In a Box
http://nrich.maths.org/919
Achieve 85% on the level 8
test to move onto the next
level
 At Least One…
http://nrich.maths.org/7286
 Chances Are
http://nrich.maths.org/920
Achieve 85% on the level 9
test to move onto the next
level
 Balls and Bags
http://nrich.maths.org/506
 Bet You a Million
http://nrich.maths.org/4336
Achieve 85% on the level 10
test to move onto the next
level
 Thank Your Lucky Stars
http://nrich.maths.org/848
 Scratch Cards
http://nrich.maths.org/583
Completed all level 10
mathletics tasks to 85% or
better