TOWNSVILLE CATHOLIC EDUCATION OFFICE
Statistics and Probability Scope & Sequence
The Australian Curriculum v4.0
Chance
Prep
Year 1
Year 2
Year 3
Identifies outcomes
of familiar events
involving chance and
describes them using
everyday language
such as ‘will happen’,
‘won’t happen’ or
‘might happen’
(ACMSP024)
TIMESSP16
Identifies practical
activities and
everyday events that
involve chance.
Describes outcomes
as ‘likely’ or ‘unlikely’
and identify some
events as ‘certain’ or
‘impossible’
(ACMSP047)
TIMESSP16
Conducts chance
experiments (tossing
and coin or drawing a
ball from a bag),
identifies and
describes possible
outcomes and
recognizes the
variation between
trials
(ACMSP067)
TIMESSP16
Year 4
Describes possible
everyday events and
orders their chances
of occurring
(ACMSP092)
TIMESSP09
Identifies everyday
events where one
cannot happen if the
other happens (eg:
weather, if it is dry, it
cannot be wet)
(ACMSP093)
TIMESSP09
Identifies events
where the chance of
one will not be
affected by the
occurrence of the
other (new baby is
either a boy or a girl
does not depend on
the sex of the
previous baby)
(ACMSP094)
TIMESSP09
Year 5
Lists outcomes of
chance experiments
involving equally
likely outcomes and
represents
probabilities of those
outcomes using
fractions
(ACMSP116)
TIMESSP10
Recognises that
probabilities range
from 0 to 1
(ACMSP117)
TIMESSP10
Year 6
Describes
probabilities using
fractions,
decimals and
percentages
(ACMSP144)
TIMESSP11
Conducts chance
experiences with both
small and large
numbers of trials usig
appropriate digital
technologies.
Conducts repeated
trials of chance
experiments using
digital technologies,
identifying the
variation between
trials and realising the
results tend to the
prediction with larger
numbers of trials
(ACMSP145)
TIMESSP11
Compares observed
frequencies across
experiments with
expected frequencies
and predicts likely
outcomes from a run
of chance events and
distinguishes these
from surprising
results
(ACMSP146)
TIMESSP11
Year 7
Constructs sample
spaces for single-step
experiments with
equally likely
outcomes. Discusses
the meaning of
probability
terminology (eg:
probability, sample
space, favourable
outcomes, trial)
(ACMSP167)
TIMESSP12
Assigns probabilities
to the outcomes of
events and
determines
probabilities for
events. Expresses
probabilities in
common and decimal
fractional and
percentage forms
(ACMSP168)
TIMESSP12
Year 8
Identifies
complementary
events and uses the
sum of probabilities
to solve problems
(ACMSP204)
TIMESSP13
Describes events
using language of 'at
least', exclusive 'or' (A
or B but not both),
inclusive 'or' (A or B
or both) and 'and'
(ACMSP205)
TIMESSP13
Represents such
events in two-way
tables and Venn
diagrams and solves
related problems.
Uses Venn diagrams
and two-way tables
to calculate
probabilities for
events.
(ACMSP292)
TIMESSP13
Year 9
Year 10
Year 10 A
Lists all outcomes for
two-step chance
experiments, both
with and without
replacement using
tree diagrams or
arrays. Assigns
probabilities to
outcomes and
determines
probabilities for
events (ACMSP225)
TIMESSP14
Describes the results
of two- and threestep chance
experiments, both
with and without
replacements, assigns
probabilities to
outcomes and
determines
probabilities of
events. Investigates
the concept of
independence.
Recognises that some
sets of chance events
are dependent on a
previous result and
others are not, that
this distinction is
important when
calculating
probabilities, and that
events are
independent if P(A) x
P(B) = P(A and B)
(ACMSP246)
TIMESSP15
Investigates reports
of studies in digital
media and elsewhere
for information on
the planning and
implementation of
such studies, and the
reporting of
variability. Evaluates
media reports that
refer to data from a
range of contexts.
Evaluates whether
graphs in a report
could mislead, and
whether graphs and
numerical
information support
the claims
(ACMSP277)
Calculates relative
frequencies from
given or collected
data to estimate
probabilities of
events involving 'and'
or 'or' (ACMSP226)
TIMESSP14
Investigates reports
of surveys in digital
media and elsewhere
for information on
how data were
obtained to estimate
population means
and medians
(ACMSP227)
TIMESSP07
Uses the language of
‘if ....then, ‘given’,
‘of’, ‘knowing that’ to
investigate
conditional
statements and
identifies common
mistakes in
interpreting such
language
(ACMSP247)
TIMESSP15
Data representation and Interpretation
Prep
Year 1
Answers yes/no
questions to collect
information
(ACMSPO11)
TIMESSP17
Chooses simple
questions and gathers
responses
(ACMSP262)
TIMESSP17
Represents responses
to questions using
simple displays,
including grouping
students according to
their answers
(ACMSPO11)
TIMESSP17
Represents data with
objects and drawings
where one object or
drawing represents
one data value
(ACMSP263)
TIMESSP17
Uses data displays to
answer simple
questions such as
“how many students
answered yes to
brown hair?”
(ACMSPO11)
TIMESSP17
Describes the displays
by identifying
categories with the
greatest or least
number of objects
(ACMSP263)
TIMESSP17
Year 2
Identifies a question
of interest based on
one categorical
variable (eg: brown
hair). Gathers data
relevant to the
question
(ACMSP048)
TIMESSP17
Collects, checks and
classifies data. Uses
tally marks
(ACMSP049)
TIMESSP17
Creates displays of
data using lists, table
and picture graphs
and interprets them
(ACMSP050)
TIMESSP17
Compares the
usefulness of
different data
displays
(ACMSP050)
TIMESSP17
Year 3
Year 4
Year 5
Year 6
Year 7
Identifies questions
or issues for
categorical variables.
Identifies data
sources and plans
methods of data
collection and
recoding. Refines
questions and plans
investigations that
involve collecting
data, and carrying out
the investigation, for
example, narrowing
the focus of a
question such as
“which is the most
popular breakfast
cereal?” to “which is
the most popular
breakfast cereal
among Year 3
students in our
class?” (ACMSP068)
TIMESSP17
Selects and trials
methods for data
collection, including
survey questions
and recording sheets
(ACMSP095)
TIMESSP02
Poses questions and
collects categorical
(eg: brown hair) or
numerical data by
observation or survey
(ACMSP118)
TIMESSP03
Constructs suitable
data displays, with
and without the use
of digital
technologies, from
given or collected
data, including tables,
column graphs and
picture graphs where
one picture can
represent many data
values
(ACMSP096)
TIMESSP02
Constructs displays,
including column
graphs, dot plots and
tables, appropriate
for data type, with
and without the use
of digital technologies
(ACMSP119)
TIMESSP03
Interprets and
compares a range of
data displays,
including side-by-side
column graphs for
two categorical
variables
(ACMSP147)
TIMESSP04
Identifies and
investigates issues
involving numerical
data displays
collected from
primary and
secondary sources
(eg: relationship
between wealth and
health of populations)
(ACMSP169)
TIMESSP02
Collects data,
organises into
categories and
creates displays
using lists, tables,
picture graphs and
simple column
graphs, with and
without the use of
digital technologies
(ACMSP069)
TIMESSP17
Interprets and
compares data
displays describing
their similarities and
differences
(ACMSP070)
TIMESSP17
Evaluates the
effectiveness of
different displays in
illustrating data
features including
variability. Interprets
data representations
in the media and
other forums in which
symbols represent
more than one data
value
(ACMSPO97)
TIMESSP02
Suggests questions
that can be answered
by a given data
display and using the
display to answer
questions
(ACMSPO97)
TIMESSP02
Describes and
interprets different
data sets in context.
Uses and compares
data representations
for different data sets
to help decision
making, such as
choosing the best
mobile phone plan
(ACMSP120)
TIMESSP03
Interprets secondary
data in order to
critique data-based
claims made in the
media, advertising
and elsewhere.
Identifies potentially
misleading data
representation eg.
graphics not drawn to
scale, broken axes
etc.
(ACMSP148)
TIMESSP04
Constructs and
compares a range of
data displays
including stem-andleaf plots and dot
plots (ACMSP170)
TIMESSP02
Calculates mean,
median, mode and
range for sets of data.
Interprets these
statistics in the
context of data
(ACMSP171)
TIMESSP02
Describes and
interprets data
displays using mean
median and mode.
Uses mean and
median to compare
data sets and explain
how outliers may
affect the comparison
(ACMSP172)
TIMESSP02
Year 8
Investigates
techniques for
collecting data
including census,
sampling and
observation
(ACMSP284)
TIMESSP07
Explores the
practicalities and
implications of
obtaining
representative data
using a variety of
investigative
processes
(ACMSP206)
TIMESSP05
Explores the variation
of means and
proportions of
random samples
drawn from the same
population
(ACMSP293)
TIMESSP05
Investigates the effect
of individual data
values, including
outliers, on the mean
and median
(ACMSP207)
TIMESSP05
Year 9
Year 10
Year 10 A
Identifies everyday
questions and issues
involving at least one
numerical and at least
one categorical
variable, and collects
data directly from
secondary sources
(ACMSP228)
TIMESSP07
Determines quartiles
and interquartile
range. Finds the fivenumber summary
(minimum and
maximum values,
median and upper
and lower quartiles)
and using its graphical
representation, the
box plot, as tools for
both numerically and
visually comparing
the centre and spread
of data sets
(ACMSP248)
TIMESSP08
Calculates and
interprets the mean
and standard
deviation of data and
use these to compare
data sets (ACMSP278)
Constructs back-toback stem-and-leaf
plots and histograms
and describes data,
using terms including
‘skewed’, ‘symmetric’
and ‘bi modal’
(ACMSP282)
TIMESSP07
Compares data
displays using mean,
median and range to
describe and
interpret numerical
data sets in terms of
location (centre) and
spread (ACMSP283)
TIMESSP07
Constructs and
interprets box plots
and uses them to
compare data sets
(ACMSP249)
TIMESSP08
Compares shapes of
box plots to
corresponding
histograms and dot
plots (ACMSP250)
TIMESSP08
Uses scatter plots to
investigate and
comment on
relationships
between two
numerical variables,
making comparisons
and drawing
conclusions
(ACMSP251)
TIMESSP08
Investigates and
describes bivariate
numerical data (data
relating to two
variables, eg. arm
span and height)
where the
independent variable
is time (ACMSP252)
TIMESSP08
Evaluates statistical
reports in the media
and other places by
linking claims to
displays, statistics and
representative data
(ACMSP253)
TIMESSP08
Uses information
technologies to
investigate bivariate
numerical data sets.
Where appropriate,
use a straight line to
describe the
relationship allowing
for variation.
Investigates different
techniques for finding
a ‘line of best fit’
(ACMSP279)