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Fraction Classroom · 2.0.0 · Teacher answers & responses

Number Line Lab

Count equal intervals, move a point beyond one, and preserve its location while renaming a fraction.

Explore, draw, and explain

Use the online model or draw a diagram. Label the whole and show your reasoning.

M1. Set 4 equal intervals per whole. Place a point at 3/4. How many intervals did you travel from zero?

Answer: 3

Look for:

  • The five tick marks from 0 through 1 enclose four intervals. Travel three intervals; the point marks the endpoint.

Teacher response: If students are counting zero as the first interval. Fix the distance from 0 to 1 before counting intervals. A fraction labels a point at a distance from zero; it does not label the space between ticks.

M2. Keep fourths. Move the point to 7/4. What mixed number does the point represent?

Answer: 1 3/4

Look for:

  • Four fourths reach 1. Three more fourths reach 1 3/4. The interval size stays the same after 1.

Teacher response: If students are restarting the numerator at zero after one whole. Fix the distance from 0 to 1 before counting intervals. A fraction labels a point at a distance from zero; it does not label the space between ticks.

M3. Use sixths and put the point at 4/6. Give its simplest fraction name.

Answer: 2/3

Look for:

  • Group the six intervals in pairs. Four sixths cover two of the three pairs, so the point is 2/3.

Teacher response: If students are changing the point when the fraction name changes. Fix the distance from 0 to 1 before counting intervals. A fraction labels a point at a distance from zero; it does not label the space between ticks.

Teaching notes