Grade 3/Fractions
Fractions on a Number Line (930)
Students identify and place fractions on a number line. This helps transition from area models to linear measurement models.
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Teaching Notes
Relate the number line to a ruler. Count the 'jumps' (intervals) to find the denominator.
Vocabulary
Number Line: A line showing numbers in order.
Interval: The space between two numbers.
Common Mistakes
- Counting the tick marks instead of the spaces.
- Starting count at 1 instead of 0.
- Unequal partitioning of the whole
- Counting tick marks instead of segments
- Confusing numerator and denominator
- Misinterpreting the whole interval (0-1 vs 0-2)
Differentiation
SupportUse number lines with only 0 and 1 labeled.
ChallengeFractions greater than 1 on number line.
Discussion Questions
- Is 1/2 always in the middle?
- Where would 0/4 be?
- How does the denominator relate to the number line?
- What does the numerator tell us to do?
- How would you place 1/2 on this line?
- Why is equal partitioning important for fractions?
Extension Activities
- Human number line.
- Measure items to nearest fraction of inch.
Parent Tip
Draw a simple number line on paper to show fractions.
Learning Path
Skill Cluster
Number Sense & Fractions
Estimated Time
15 minutes
Skills Practiced
fractions number line
Prerequisites
- 928
- Understanding equal parts
- Basic fraction concepts (parts of a whole)
- Whole number identification on a line
Next Steps
- Comparing fractions on a number line
- Equivalent fractions on a number line
- Adding/subtracting fractions on a number line
- Comparing Fractions
- Equivalent Fractions
- Adding Fractions with Like Denominators