Grade 5 Unit Rubric: Fractions and Decimals

Grade 5
Master 8.1
Thinking
• makes and carries out
a plan to pose and
solve problems
involving decimals
and fractions, using a
range of strategies
(e.g., estimation,
calculators, concrete
materials, drawings,
using a model, tables)
Knowledge and
Understanding
• demonstrates
understanding of
quantity and
proportional
relationships by
explaining:
– equivalent fractions
and decimals
– patterns involving
fractions
– fractions, improper
fractions, mixed
numbers, and their
relationships
– relationship of
fractions to division
and to decimals
– estimation of
decimal products
and quotients
– justification for
chosen strategies
Application
• with accuracy:
– compares and
orders fractions,
improper fractions,
and mixed numbers
– multiplies and
divides decimals by
10 and 100
Communication
• presents work,
describes procedures,
and expresses
mathematical thinking
clearly, using
appropriate
mathematical
language
Name Date
Unit Rubric: Fractions and Decimals
Level 1 Level 2 Level 3 Level 4
makes and carries out
a plan to pose and
solve problems with
decimals and
fractions, using a
limited range of
appropriate strategies;
rarely results in an
accurate solution
may be unable to
demonstrate and
explain:
– equivalent fractions
and decimals
– patterns involving
fractions
– fractions, improper
fractions, mixed
numbers, and their
relationships
– relationship of
fractions to division
and to decimals
– estimation of decimal
products and
quotients
– justification for
chosen strategies
wth limited
effectiveness:
– compares and orders
fractions, improper
fractions, and mixed
numbers
– multiplies and
divides decimals by
10 and 100
needs assistance to
present work, describe
procedures, and
express mathematical
thinking; often unclear
and imprecise with little
mathematical language
makes and carries out
a plan to pose and
solve problems with
decimals and
fractions, using some
appropriate strategies;
usually results in a
partially accurate
solution
may only be partially
able to demonstrate
and explain:
– equivalent fractions
and decimals
– patterns involving
fractions
– fractions, improper
fractions, mixed
numbers, and their
relationships
– relationship of
fractions to division
and to decimals
– estimation of
decimal products
and quotients
– justification for
chosen strategies
with some
effectiveness:
– compares and
orders fractions,
improper fractions,
and mixed numbers
– multiplies and
divides decimals by
10 and 100
presents work,
describes procedures,
and expresses
mathematical thinking
with some clarity,
precision, and
mathematical
language
makes and carries out
a plan to pose and
solve problems with
decimals and
fractions, using
appropriate strategies;
usually results in an
accurate solution
demonstrates and
explains:
– equivalent fractions
and decimals
– patterns involving
fractions
– fractions, improper
fractions, mixed
numbers, and their
relationships
– relationship of
fractions to division
and to decimals
– estimation of
decimal products
and quotients
– justification for
chosen strategies
with considerable
effectiveness:
– compares and
orders fractions,
improper fractions,
and mixed numbers
– multiplies and
divides decimals by
10 and 100
presents work,
describes procedures,
and expresses
mathematical thinking
with general clarity and
precision, usually using
appropriate
mathematical language
makes and carries out
a plan to pose and
solve problems with
decimals and fractions
accurately, using
appropriate strategies
that may offer an
innovative approach
in various contexts,
demonstrates and
explains:
– equivalent fractions
and decimals
– patterns involving
fractions
– fractions, improper
fractions, mixed
numbers, and their
relationships
– relationship of
fractions to division
and to decimals
– estimation of decimal
products and
quotients
– justification for
chosen strategies
with a high degree of
effectiveness:
– compares and
orders fractions,
improper fractions,
and mixed numbers
– multiplies and
divides decimals by
10 and 100
presents work,
describes procedures,
and expresses
mathematical thinking
clearly, precisely, and
confidently, using a
range of appropriate
mathematical language
This page may have been modified from its original.
Copyright © 2007 Pearson Education Canada
53

Grade 5
54
Master 8.2
This page may have been modified from its original.
Copyright © 2007 Pearson Education Canada
Name Date
Ongoing Observations: Fractions and Decimals
The behaviours described under each heading are examples; they are not intended to be an exhaustive list of all
that might be observed. More detailed descriptions are provided in each lesson under Assessment for Learning.
STUDENT ACHIEVEMENT: Fractions and Decimals
Student Thinking Knowledge and
Understanding
Makes and carries out
a plan to pose and
solve problems
involving decimals
and fractions, using a
range of strategies
Demonstrates and
explains:
– equivalent fractions
and decimals
– quantity and
proportional
relationships
(e.g., fractions and
decimals; improper
fractions and mixed
numbers)
Application Communication
Compares and
orders fractions,
improper fractions,
and mixed numbers
Multiplies and divides
decimals by 10 and
100
Expresses
mathematical thinking
clearly, using
appropriate terminology
Presents work clearly
Level 1 – limited; Level 2 – some/somewhat; Level 3 – considerable effectiveness; Level 4 – high degree of effectiveness

Grade 5
Master 8.3
Thinking
• uses critical/creative
processes (e.g.,
making and carrying
out a plan) to
successfully:
– satisfy guidelines for
the creation of a
garden
– solve problems
posed by
classmates
– pose story problems
involving
multiplication and
division with decimals
Knowledge and
Understanding
• shows
understanding of
quantity and
proportion (e.g.,
fractions and
decimals) by using
concepts related to
fractions, decimals,
and their
relationships, and
recognizing when
results are
reasonable
Application
• with accuracy:
– represents fractions
as regions of a
rectangle (using grid
paper)
– describes regions of
a rectangle (on grid
paper) as decimals
– relates fractions and
decimals
– multiplies and
divides decimals
Communication
• presents work
clearly, using
appropriate
mathematical
terminology,
numbers, and
symbols (e.g.,
decimal point)
Name Date
Performance Assessment Rubric:
In the Garden
Level 1 Level 2 Level 3 Level 4
uses critical/creative
processes to solve and
create problems
involving fractions and
decimals with limited
success
shows very limited
understanding; uses
few concepts related to
fractions and decimals
with limited
effectiveness:
– represents
fractions as
regions of a
rectangle
– describes regions
of a rectangle as
decimals
– relates fractions
and decimals
– multiplies and
divides decimals
presents work with
little clarity; uses few
appropriate
mathematical terms
and symbols
uses critical/creative
processes to solve
and create problems
involving fractions and
decimals with some
success
shows limited
understanding by
using some concepts
related to fractions
and decimals
with some
effectiveness:
– represents
fractions as
regions of a
rectangle
– describes regions
of a rectangle as
decimals
– relates fractions
and decimals
– multiplies and
divides decimals
presents work with
some clarity; uses
some appropriate
mathematical terms
and symbols
uses critical/creative
processes to solve and
create problems
involving fractions and
decimals successfully
shows understanding
by using relevant
concepts related to
fractions and decimals
with considerable
effectiveness:
– represents
fractions as regions
of a rectangle
– describes regions
of a rectangle as
decimals
– relates fractions
and decimals
– multiplies and
divides decimals
presents most work
clearly and precisely;
uses appropriate
mathematical terms
and symbols
uses critical/creative
processes to solve and
create problems
involving fractions and
decimals successfully
and effectively
shows thorough
understanding by using
all relevant concepts
related to fractions and
decimals
with a high degree of
effectiveness:
– represents fractions
as regions of a
rectangle
– describes regions of
a rectangle as
decimals
– relates fractions
and decimals
– multiplies and divides
decimals
presents all work
clearly, precisely, and
confidently; uses a
range of appropriate
mathematical terms and
symbols with precision
This page may have been modified from its original.
Copyright © 2007 Pearson Education Canada
55

Grade 5
56
Master 8.4
This page may have been modified from its original.
Copyright © 2007 Pearson Education Canada
Name Date
Unit Summary: Fractions and Decimals
Review assessment records to determine the most consistent achievement levels for the assessments
conducted. Some cells may be blank. Overall achievement levels may be recorded in each row, rather
than identifying levels for each achievement category.
Strand:
Number Sense and
Numeration
Ongoing Observations
Strategies Toolkit
(Lesson 10)
Work samples or
portfolios; conferences
Show What You Know
Unit Test
Unit Problem
In the Garden
*Use Ontario Achievement Levels 1, 2, 3, 4.
Self­Assessment:
Thinking Knowledge
and
Understanding
Comments: (Strengths, Needs, Next Steps)
Most Consistent Level of Achievement*
Achievement Level for reporting
Application Communication Overall