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Identify Fractions at Given Points on a Number Line

Students will be given a number line with a point marked and will determine the fraction that names that point. They will use the number of equal parts between 0 and 1 and count the intervals from 0 to the marked point to identify the fraction. This includes both unit and non-unit fractions.

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Identify Fractions at Given Points on a Number Line

Grade 3 · Fractions on a Number Line · question 1 of 3

0 of 12

12 rungs. A star at the top.

01D

Bea reads a number line to measure how far a snail crept. What fraction is dot D?

Each tick is one part of the whole.

Your answer:

How it is taught

0:00 of 3:12

A point on a number line names a fraction.

Count equal spaces from 0, not the tick marks.

012L

Read it: Count the gaps, not ticks

A line runs from 0 to 1, cut in half. You could count 3 marks, but the walk has 2 equal steps.

  1. Start at 0 on the line.
  2. Count the equal steps to the mark: 1 of 2.
  3. Name that place on the line: 1/2.

Counting the marks gives 3, because 0, the middle and 1 are all ticks, but ticks are not the steps.

Each step from 0 to 1 is the same size, so 1 step out of 2 is halfway.

The shaded piece covers 1 of those 2 steps, so it sits at the same place as 1/2.

Count the equal gaps, not the ticks; that many steps is the fraction.

Counting the 3 ticks and saying the mark is 3, not 1/2.

Ticks are the ends of the steps. 2 equal steps from 0 to 1: the middle is 1/2.

9 evenly spaced ticks run from 0 to 1. A dot sits on the 4th tick after 0. Which fraction is the dot? — 4/8. Count the gaps, not the ticks: 4 of 8 equal gaps is 4/8.

Identify the point at 3/4

A point is marked on this number line between zero and one. What fraction names that point?

Here's our number line. It goes from zero to one, with a point marked somewhere in between.

First, let's see how many equal parts the line is split into between zero and one.

Count the spaces: one, two, three, four. Four equal parts!

Four equal parts means our denominator — the bottom number — is four.

What fraction names this point?01?12344 equal parts1233 jumps from 0?434ANSWER34three-fourths
Grade 3 · Reading fractions on a number line

Now let's count the jumps from zero to the point.

One, two, three jumps. The point is three jumps from zero.

Three jumps means our numerator — the top number — is three.

The point is at three-fourths. We counted four equal parts, then three jumps from zero. Great job!

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics
Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal
1 star — one skill mastered, every rung of its ladder climbed
Climbing now
Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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