Sub-goal B: Reason with fractional units to compare non-unit fractions up to 1
A conceptual approach to comparing fractions involves reasoning about the number of units and the size of the units that make up the fractions. This approach does not rely on finding and using equivalent fractions. If unit fractions are seen as the building block for other fractions, size comparisons can be based on the size of the measure (i.e., unit fraction) and the number of measures. The instructional resources provide opportunities for students to engage in reasoning to compare fractions, order fractions, and place fractions on a number line.
Home Communication and Engagement
Large Group
Instructional Activities
Find My Way Using Proper Fractions
Activity 10-B-L-1Purpose: Gain knowledge of relative sizes of proper fractions
Description: Students locate on a string the relative position of fractions within the interval from 0 to 1.
Comparing Proper Fractions
Activity 10-B-L-2Purpose: Refine knowledge of the relative size of proper fractions by comparing
Description: Students compare non-unit proper fractions by reasoning about their relative sizes.
Where Does My Fraction Belong?
Activity 10-B-L-3Purpose: Ordering proper fractions
Description: Students use knowledge of unit fraction and relative size to order non-unit proper fractions.
Small Group
Instructional Activities
Who Gets More
Activity 10-B-S-1Purpose: Refine knowledge of the relative size of proper fractions by comparing
Description: Students use fraction strips to compare non-unit proper fractions by using reasoning with their relative sizes.
Proper Number line
Activity 10-B-S-2Purpose: Gain knowledge of relative sizes of proper fractions
Description: Students position unit and non-unit fractions within the interval from 0 to 1 on a number line.
How Does it Compare?
Activity 10-B-S-3Purpose: Compare one proper fraction to another proper fraction
Description: Students compare non-unit proper fractions presented on numeral cards by reasoning with their relative sizes.
Where Do I Belong?
Activity 10-B-S-4Purpose: Ordering proper fractions
Description: Students use knowledge of unit fraction and relative size to order non-unit proper fractions presented on numeral cards.
Independent
Instructional Activities
Paperclip It
Activity 10-B-I-1Purpose: Locate fractions on a number line
Description: Students locate on a number line the relative position of fractions within the interval from 0 to 1.
Fraction Go Fish Battle
Activity 10-B-I-2Purpose: Demonstrate facility with comparing proper fractions to another proper fraction.
Description: Students use fraction numerals to determine which proper fraction is larger.
Get In Line
Activity 10-B-I-3Purpose: Ordering proper fractions
Description: Students use proper fractions to build a series of fractions in order from smallest to largest.
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