Embedded Files
Definitions
Definitions
fraction: a number that is an equal part of a whole
whole number: a number that has no fractional parts
interval: the equal spaces/jumps on a number line from one point to another
benchmark numbers: whole numbers on the number line (like a ruler) with fraction in between
partition: to cut or split a whole into smaller parts
fractional unit: depending on what the whole is partitioned into, this is the unit you count by (halves, thirds, fourths, etc.)
unit fraction: a fraction that represents each area/piece/interval of a partitioned shape, set of items, or partitioned number line
equivalent fraction: fractions that have different numerators and/or denominators, but represent the same value or area.
comparing fractions: to determine which fraction is greater than (>), less than (<), or equal to (=) to the other fraction
Fractions Basics
Fractions Basics
Parts of a Written Fraction
Parts of a Written Fraction
Fractions are numbers that represent pieces smaller than one, unless they are improper fractions which are greater than one whole. In third grade we focus mainly on fractions less than or equal to 1 whole. Below, you will see information about the parts of a fraction: numerator and denominator. Understanding these parts is essential for fraction success!
Fractional Unit: eighths
Shaded: 4/8
Non-shaded: 4/8
Fractional Unit: fourths
Shaded: 1/4
Non-shaded: 3/4
Fractional Unit: thirds
Shaded: 2/3
Non-shaded: 1/3
Fractional Unit: eighths
Shaded: 6/8
Non-shaded: 2/8
Fractions Strips
Fractions Strips
What do I do with these?
What do I do with these?
We use our fraction strips to understand fractional parts, size, and relationships between fractions. We also use these to compare fractions and find equivalence.
We use our fraction strips to understand fractional parts, size, and relationships between fractions. We also use these to compare fractions and find equivalence.
Fractions on the Number LIne
Fractions on the Number LIne
Number LInes
Number LInes
Students are very familiar and feel comfortable with number lines. Because fractions are numbers that fall between whole numbers, the number line is a perfect model!
Number lines help students see the counting progression of fractions, and can use this model to easily compare fractions or find equivalence.
Fractions in Number Bonds
Fractions in Number Bonds
Number Bonds
Number Bonds
Number Bonds help students see how parts create a whole. In this example we see that 3/4 and 1/4 create 1 whole (or 4/4). This model is a great way to decompose wholes into fractional parts OR compose fractional parts into wholes.
Number Bonds help students see how parts create a whole. In this example we see that 3/4 and 1/4 create 1 whole (or 4/4). This model is a great way to decompose wholes into fractional parts OR compose fractional parts into wholes.
Equivalent Fractions
Equivalent Fractions
Whole Number Fractions
Whole Number Fractions
Whole Numbers as Fractions
Whole Numbers as Fractions
These fractions represent whole numbers.
Students learn that the denominator represents the number of pieces the whole has been partitioned into. Whole number fractions have NOT be partitioned, thus having one 1 big piece.
This is why a whole number fraction is written as: 1 = 1/1 or 4 = 4/1
Comparing Fractions
Comparing Fractions
Which is greater?
Which is greater?
When comparing fractions, it's like comparing whole numbers.
When comparing fractions, it's like comparing whole numbers.
You are deciding if one fraction is greater than (>), less than (<), or equal to (=) the other number.
You are deciding if one fraction is greater than (>), less than (<), or equal to (=) the other number.
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We use two models to compare:
We use two models to compare:
Number Line
Number Line
The fractions that has traveled down the number line the farthest is greater.
In this example 4/6 is great than 3/6.
Area Model
Area Model
The fraction that takes up more space, or are, is greater.
In this example 2/3 is greater than 1/3.
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