Montana Math MT.3.NF.2
The Standard
Understand a fraction as a number on the number line by: Representing a unit fraction on a number line, Representing a fraction as multiple copies of a unit fraction on a number line, and Representing fractions on a number line.
2026 Montana Mathematics Content Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students divide the distance from 0 to 1 on a number line into equal parts. They mark one part as a unit fraction and locate other fractions by counting equal steps from 0.
What Mastery Looks Like
- A student can divide a line from 0 to 1 into four equal spaces and place 1/4 and 3/4 correctly. They can explain that three steps of 1/4 from 0 reach 3/4.
Common Misconceptions
- Students may count tick marks instead of spaces and label 0 as 1/4. They may draw uneven spaces or think the denominator tells them how many steps to move from 0.
How to Assess It
- Draw a number line from 0 to 1. Divide it into four equal spaces, mark 1/4 and 3/4, and explain why 3/4 goes where it does.
Lesson moves
Ways to Teach It
Fold a paper strip from 0 to 1 into fourths, then line it up with a drawn number line and mark 1/4 and 3/4.
Show a line split into thirds and ask students why the second mark after 0 is 2/3, not 1/2.
Give partners fraction cards and number line cards with marked points; have them match each fraction to a point and check the spaces.
Draw a 0-to-1-mile walking route, split it into four equal parts, and mark the spot 3/4 mile from the start.
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Printable MT.3.NF.2 Worksheet
A ready-to-print activity worksheet aligned to MT.3.NF.2, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- MT.2.MD.6
Represent whole numbers as lengths from 0 and represent sums and differences within 100 on a number line.
- MT.5.MD.2
Make a line plot to display a data set of measurements in fractions of a unit and use operations on fractions to solve problems involving information presented ...
- MT.3.NF.3
Understand the equivalence of fractions in special cases and compare fractions by reasoning about their size by: Understanding two fractions as equivalent if th...
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