Grade 4–6 Fractions
Grade 4 / Grade 5 / Grade 6
Outcomes /

A1 Identify and model fractions and mixed numbers

A2 Interpret and model decimal tenths and hundredths

A5 Compare and order fractions

A6 Rename fractions with and without the use of models

A7 Compare and order decimals with and without models

B6 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

G1 Predict probabilities as either close to 0, near 1 or near ½

G4 Use fractions to describe experimental probabilities / A3 Interpret, model and rename fractions
A4 Demonstrate an understanding of the relationship between fractions and division
A5 Explore the concepts of ratio and rate informally
C8 Demonstrate an understanding that the multiplicative relationship between numerators and denominators is constant for equivalent fractions
E10 Explore rotations of one-quarter, one-half, and three-quarter turns using a variety of centers
G1 Conduct simple experiments to determine probabilities
G2 Determine simple theoretical probabilities and use fractions to describe them / A2 Represent fractions and decimals
A3 Write and interpret ratios, comparing part-to-part and part-to-whole
A4 Demonstrate understanding of equivalent ratios
A5 Demonstrate and understanding of the concept of percent as a ratio
A9 Relate fractional and decimal forms of numbers
B5 Add and subtract simple fractions using models
C6 Represent equivalent ratios using tables and graphs
G1 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 / Grade 5 / Grade 6
Meaning / ·  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 / ·  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
Comparing and Ordering / ·  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 decimals in situations such as time, distances, scores and capacities / ·  compare and order fractions using area models, length models and set models
·  compare fractions with same denominators
·  compare fractions with same numerator
·  compare using bench- marks such as ½, 0 and 1 compare and order fractions
Equivalent Fractions / ·  rename fractions with and without models
·  develop understanding that renamed fractions have equal value / ·  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
Operations / ·  use intuition and modeling to add fractions with common denominators / ·  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 / ·  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
Ratio and Proportion / ·  relate common fractions and ratios / ·  develop understanding that all fractions are ratios
·  recognize concept of equivalent ratios