Year 5 Mathematics Generic Rubric based on the Achievement Standards
Year 5 Achievement Standard
By the end of Year 5, students solve simple problems involving the four operations using a range of strategies. They check the reasonableness of answers using estimation and rounding.
Students identify and describe factors and multiples. They explain plans for simple budgets. Students connect three-dimensional objects with their two-dimensional representations. They
describe transformations of two-dimensional shapes and identify line and rotational symmetry. Students compare and interpret different data sets.
Students order decimals and unit fractions and locate them on number lines. They add and subtract fractions with the same denominator. Students continue patterns by adding and subtracting
fractions and decimals. They find unknown quantities in number sentences. They use appropriate units of measurement for length, area, volume, capacity and mass, and calculate perimeter and
area of rectangles. They convert between 12 and 24 hour time. Students use a grid reference system to locate landmarks. They measure and construct different angles. Students list outcomes of
chance experiments with equally likely outcomes and assign probabilities between 0 and 1. Students pose questions to gather data, and construct data displays appropriate for the data.
Curriculum
Levels
A
Excellent
1
Advanced
B
Good
2
Proficient
C
Satisfactory
3
Functional
D
Partial
4
Developing
E
Minimal
5
Solve simple problems involving the four
operations using a range of strategies
Solve simple problems
involving the four
operations using a
diverse range of highly
efficient and highly
flexible strategies
Solve simple problems
involving the four
operations using a wide
range of mostly efficient
strategies
Solve simple problems
involving the four
operations using a
adequate range of
reasonably efficient
strategies
Solve simple problems
involving the four
operations using a
narrow range of basic
strategies
Solve simple problems
involving the four
operations using a
limited range of simple
strategies
Check the reasonableness of answers
using estimation and rounding
Highly logical and
extensive checking of
the reasonableness of
answers using
estimation and
rounding
Mostly logical and
thorough checking of
the reasonableness of
answers using
estimation and
rounding
Generally logical and
satisfactory checking of
the reasonableness of
answers using
estimation and
rounding
Superficial checking of
the reasonableness of
answers using
estimation and
rounding
Minimal checking of the
reasonableness of
answers using
estimation and
rounding
Identify and describe factors and
multiples
Identify and describe
factors and multiples
with extensive and indepth understanding
Identify and describe
factors and multiples
with deep
understanding
Identify and describe
factors and multiples
with moderate
understanding
Identify and describe
factors and multiples
with superficial
understanding
Identify and describe
factors and multiples
with limited
understanding
Explain plans for simple budgets
Comprehensive and
lucid explanation of
plans for simple
budgets
Detailed and clear
explanation of plans for
simple budgets
Adequate and generally
clear explanation of
plans for simple
budgets
Basic and partially clear
explanation of plans for
simple budgets
Limited and vague
explanation of plans for
simple budgets
Connect three-dimensional objects with
their two-dimensional representations
In-depth understanding
and sophisticated
application of the
connections between
Deep understanding
and proficient
application of the
connections between
Moderate
understanding and
adequate application of
the connections
Partial understanding
and basic application of
the connections
between 3D objects
Limited understanding
and application of the
connections between
Criteria
(Assessable Elements)
Knowledge
and
Understanding
(Extent of
knowledge
Depth of
understanding as
demonstrated
through for
recognition the
Proficiencies)
Year 5 Mathematics Generic Rubric based on the Achievement Standards
Mathematical
Skills
(Sophistication of
skills as
demonstrated
through the
Proficiencies)
Note: Degrees of
accuracy (high,
mostly, moderate,
partial, little) are
assumed in the AE range for all
skills.
3D objects with their 2D
representations
3D objects with their 2D
representations
between 3D objects
with their 2D
representations
with their 2D
representations
3D objects with their 2D
representations
Describe transformations of twodimensional shapes and identify line and
rotational symmetry
Comprehensive
description of
transformations of twodimensional shapes
and insightful
identification of line and
rotational symmetry
Detailed description of
transformations of twodimensional shapes
and perceptive
identification of line and
rotational symmetry
Satisfactory description
of transformations of
two-dimensional
shapes and thoughtful
identification of line and
rotational symmetry
Basic description of
transformations of twodimensional shapes
and superficial
identification of line and
rotational symmetry
Limited description of
transformations of twodimensional shapes
and vague identification
of line and rotational
symmetry
Compare and interpret different data sets
Highly accurate and
highly logical
comparison and
interpretation of
different data sets
Mostly accurate and
mostly logical
comparison and
interpretation of
different data sets
Generally accurate and
generally logical
comparison and
interpretation of
different data sets
Partially accurate and
partially logical
comparison and
interpretation of
different data sets
Limited comparison
and limited
interpretation of
different data sets.
Order decimals and unit fractions and
locate them on number lines
Extensively reasoned
ordering of decimals
and unit fractions with
highly accurate location
of them on number
lines.
Well-reasoned
ordering of decimals
and unit fractions with
mostly accurate
location of them on
number lines
Reasoned ordering of
decimals and unit
fractions with
moderately accurate
location of them on
number lines.
Basically reasoned
ordering of decimals
and unit fractions with
partially accurate
location of them on
number lines.
Order decimals and
unit fractions and
locate them on number
lines with direction
Add and subtract fractions with the same
denominator
Add and subtract
fractions with the same
denominator in a highly
accurate and highly
consistent manner
Add and subtract
fractions with the same
denominator in a mostly
accurate and mostly
consistent manner
Adds and subtracts
fractions with the same
denominator in a
generally accurate and
reasonably consistent
manner
Add and subtract
fractions with the same
denominator in a
partially accurate and
spasmodic manner
Add and subtract
fractions with the same
denominator with little
accuracy or
consistency
Continue patterns by adding and
subtracting fractions and decimals
Continue complex
patterns by adding and
subtracting fractions
and decimals with
extended
understanding
Continue detailed
patterns by adding and
subtracting fractions
and decimals with deep
understanding
Continue common
patterns by adding and
subtracting fractions
and decimals with
moderate
understanding
Continue basic patterns
by adding and
subtracting fractions
and decimals with
partial understanding
Beginning to continue
simple patterns by
adding and subtracting
fractions and decimals
with limited
understanding
Find unknown quantities in number
sentences
Find unknown
quantities in number
patterns in a highly
skilful and highly
successful manner
Find unknown
quantities in number
patterns in a mostly
skilful and mostly
successful manner
Find unknown
quantities in number
patterns in a
reasonably skilful and
reasonably successful
manner
Find unknown
quantities in number
patterns in a partially
skilful and partially
successful manner
Find unknown
quantities in number
patterns with limited
skill and limited
success
Year 5 Mathematics Generic Rubric based on the Achievement Standards
Use appropriate units of measurement for
length, area, volume, capacity and mass.
A sophisticated and
discerning use of
appropriate units of
measurement for
length, area, volume,
capacity and mass
A proficient use of
appropriate units of
measurement for
length, area, volume,
capacity and mass
A capable use of
appropriate units of
measurement for
length, area, volume,
capacity and mass
A partial use of
appropriate units of
measurement for
length, area, volume,
capacity and mass
A limited use of
appropriate units of
measurement for
length, area, volume,
capacity and mass
Calculate perimeter and area of
rectangles.
Calculate perimeter
and area of rectangles
in a highly competent
manner with
comprehensive
reasoning
Calculate perimeter
and area of rectangles
in a mostly competent
manner with substantial
reasoning
Calculate perimeter
and area of rectangles
in a generally
competent manner with
adequate reasoning
Calculate perimeter
and area of rectangles
in a partially competent
manner with obvious
reasoning
Calculate perimeter
and area of rectangles
in a limited manner with
direction
Convert between 12 and 24 hour time
Highly competent
conversion between 12
and 24 hour time.
Mostly competent
conversion between 12
and 24 hour time.
Generally competent
conversion between 12
and 24 hour time.
Partially competent
conversion between 12
and 24 hour time.
Conversion between 12
and 24 hour time with
minimal competence
Use a grid reference system to locate
landmarks
A sophisticated and
discerning use of a grid
system to locate
landmarks
A proficient use of a
grid system to locate
landmarks
A capable use of a grid
system to locate
landmarks
A partial use of a grid
system to locate
landmarks
A limited use of a grid
system to locate
landmarks
Measure and construct different angles.
Highly accurate and
highly competent
measurement and
construction of different
angles
Mostly accurate and
mostly competent
measurement and
construction of different
angles
Generally accurate and
generally competent
measurement and
construction of different
angles
Partially accurate and
partially competent
measurement and
construction of different
angles
Measures and
constructs different
angles with direction
List outcomes of chance experiments
with equally likely outcomes and assign
probabilities between 0 and 1
Extensive and insightful
listing of outcomes of
chance experiments
with equally likely
outcomes and
assigning of
probabilities between 0
and 1.
Detailed and perceptive
listing of outcomes of
chance experiments
with equally likely
outcomes and
assigning of
probabilities between 0
and 1.
Adequate and
thoughtful listing of
outcomes of chance
experiments with
equally likely outcomes
and assigning of
probabilities between 0
and 1.
Basic and superficial
listing of outcomes of
chance experiments
with equally likely
outcomes and
assigning of
probabilities between 0
and 1.
Limited and simple
listing of outcomes of
chance experiments
with equally likely
outcomes and
assigning of
probabilities between 0
and 1.
Pose questions to gather data, and
construct data displays appropriate for
the data
Pose highly focussed
and highly relevant
questions to gather
data and construct data
displays appropriate for
the data.
Pose mostly relevant
questions to gather
data and construct data
displays appropriate for
the data.
Pose generally relevant
questions to gather
data and construct data
displays appropriate for
the data.
Pose partially relevant
questions to gather
data and construct data
displays appropriate for
the data.
Pose limited questions
to gather data and
construct data displays
appropriate for the
data.
Year 5 Mathematics Generic Rubric based on the Achievement Standards
D. Gilbert and J. Farrall, AISSA, April 24, 2015