Students label and place halves, thirds, fourths, sixths and eighths on number lines, go past 1, and find fractions that share a point.
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Students name and place fractions on number lines, starting with a worked example that splits 0 to 1 into fourths and shows 4/4 at the same point as 1. They fill in missing fractions, mark fractions such as 2/3 and 5/8, and on page 2 work on lines that run to 2 and 3, with whole numbers above and fractions below. A trail problem with a post at every eighth of the way asks how far a walker at post 5 has gone. The key adds a whole-class floor number line activity.
The key's warning: a sixths line has 7 tick marks but 6 spaces. Students who count tick marks write sevenths, so have them count the spaces between 0 and 1.
On the past-1 lines, have students say the fractions aloud from 0: one third, two thirds, three thirds, four thirds. Hearing three thirds land on the 1 shows why 4/3 comes after it.
Ways to adjust the number line work for different students.
Each one is checked against the official documents. Where the resource covers only part of a standard, the note says so.
Students count equal parts from 0 to label tick marks (such as 2/3, 5/8 and 7/4) and find posts on a trail marked in eighths of a mile.
Students see that a number line from 0 to 1 split into 4 equal parts makes each part 1/4, and label number lines split into halves, thirds, fourths, sixths and eighths.
Students find pairs of fractions at the same point on two lined-up number lines, such as 2/6 and 1/3, and match the bench at 3/4 mile to post 6 (6/8).
Students write the missing fractions at tick marks on number lines split into halves, thirds, fourths, sixths and eighths; the Past 1 part goes beyond this expectation's limit of one.
Students mark the point for fractions such as 2/3 and 5/8 and find a bench at 3/4 mile on a trail; only number lines are used, not objects or strip diagrams.
Students circle the two fractions that sit at the same point, such as 2/6 and 1/3, and match 3/4 to 6/8 on the trail; only number lines are used.
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