Grade 4–6 Fractions
Grade 4
Outcomes A1
A2
A5
A6
A7
Identify and model
fractions and mixed
numbers
Interpret and model
decimal tenths and
hundredths
Grade 5
A3
Interpret, model and
rename fractions
A2
Represent fractions and
decimals
A4
Demonstrate an
understanding of the
relationship between
fractions and division
A3
Write and interpret ratios,
comparing part-to-part
and part-to-whole
A4
Demonstrate
understanding of
equivalent ratios
Compare and order
A5
fractions
Rename fractions with
C8
and without the use of
models
Compare and order
decimals with and without
models
Use models informally to
add simple fractions with
common denominators
E11 Predict and confirm the
results of various 2-D
figures under slides,
reflections and quarter
and half turns
B6
G1
G4
Grade 6
Explore the concepts of
ratio and rate informally
Demonstrate an
A5
understanding that the
multiplicative relationship
between numerators and
denominators is constant A9
for equivalent fractions
E10 Explore rotations of onequarter, one-half, and
three-quarter turns using
a variety of centers
G1
Predict probabilities as
G2
either close to 0, near 1 or
near ½
Use fractions to describe
experimental probabilities
Relate fractional and
decimal forms of numbers
B5
Add and subtract simple
fractions using models
C6
Represent equivalent
ratios using tables and
graphs
Conduct simple
experiments to determine G1
probabilities
Determine simple
theoretical probabilities
and use fractions to
describe them
Demonstrate and
understanding of the
concept of percent as a
ratio
Conduct simple
simulations to determine
probabilities
G3
Analyze simple
probabilistic claims
G4
Determine theoretical
probabilities
G5
Identify events that could
be associated with a
particular theoretical
probability
Concepts
Main Ideas
Grade 4
Meaning







Comparing 
and
Ordering




model fractions to develop
visual images
identify and model mixed
numbers
change the size of the whole
fractions that make one
whole or more than one
whole
continue to emphasize that
decimals are fractional parts
meaning of probabilities
close to 0, ½, and 1
use fractions to describe
experimental probability
Grade 5







compare and order
fractions using area, length
and set models

compare fractions with
same denominators

compare fractions with
same numerator
use bench-marks such as ½, 
0, and 1
compare and order
Grade 6
relationship between the 2 
numbers in a fraction is very
important
area models, set models and
linear models
develop understanding of
the relationship between
fractions and division
division is sharing equally
changing improper fractions
to mixed numbers should be
developed through
materials rather than rule
based
use fractions to describe
theoretical probability
develop understanding of
mixed numbers and
improper fractions
compare and order fractions
using area models, length
models and set models
compare fractions with
same denominators
compare fractions with
same numerator
compare using benchmarks such as ½, 0 and 1
compare and order fractions
decimals in situations
such as time, distances,
scores and capacities
Equivalent 
Fractions

Operations

rename fractions with
and without models
develop understanding
that renamed fractions
have equal value
use intuition and modeling
to add fractions with
common denominators



rename fractions
visualize equivalent
fractions
develop an understanding
of the multiplicative
relationship between
numerator and
denominator to form
equivalent fractions



move between mixed
numbers and improper
fractions
name equivalent fraction
add and subtract simple
fractions with like and
unlike denominators using
models

Fractions/
Decimals
and/or
Percents

relationship/comparison

between fractions and
decimal tenths and
hundredths
relationship/comparison

between fractions and
decimal tenths, hundredths
and thousandths
connect decimals and
fractions in probability



Ratio and
Proportion

relate common fractions
and ratios


know decimal equivalents of
some simple fractions and
any fraction with a
denominator of 10, 100 and
1000
represent any fraction in
decimal form using a
calculator
relationship between
percent, ratio and fractions
Use percentage, decimals
and common fractions to
describe probabilities
develop understanding that
all fractions are ratios
recognize concept of
equivalent ratios