3.7.A
The Standard
represent fractions of halves, fourths, and eighths as distances from zero on a number line
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students divide each whole on a number line into equal halves, fourths, or eighths. They locate a fraction by counting equal intervals from zero rather than counting tick marks.
What Mastery Looks Like
- Students correctly partition each whole into equal halves, fourths, or eighths. They place fractions accurately, including fractions greater than one, and explain the location by counting intervals from zero.
Common Misconceptions
- Students often count tick marks instead of spaces. They may divide the entire line instead of each whole, or use unequal spaces. Some think larger denominators always place fractions farther from zero.
How to Assess It
- Give students a number line from 0 to 2 and ask them to mark 3/4 and 5/4. Have them label the equal intervals.
Lesson moves
Ways to Teach It
Make a floor number line with painter’s tape, partition each whole into eighths, and have students stand at locations shown on fraction cards.
Students explain in writing why 2/4 and 4/8 land at the same point, using distance from zero.
Play Fraction Line Match, where students pair fraction cards with number-line cards and justify each match to a partner.
Use rulers marked in eighths to locate ribbon lengths such as 1/2, 3/4, and 7/8 inch.
Keep exploring
Related Standards
- 3.3.F
represent equivalent fractions with denominators of 2, 3, 4, 6, and 8 using a variety of objects and pictorial models, including number lines
- 3.3.A
represent fractions greater than zero and less than or equal to one with denominators of 2, 3, 4, 6, and 8 using concrete objects and pictorial models, includin...
- 4.3.G
represent fractions and decimals to the tenths or hundredths as distances from zero on a number line
- 2.3.D
identify examples and non-examples of halves, fourths, and eighths
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.