A student puts 2/4 to the right of 1/2 because 2 is greater than 1. Before correcting the answer, ask the class to show where each fraction belongs on the same number line. When both labels land on the same point, students have something they can point to and explain. The Institute of Education Sciences recommends using number lines to teach fraction concepts, including equivalence and magnitude. IES practice guide on fractions instruction
Build the number line together
Start with one whole
Draw a long horizontal line on the smart board. Label its ends 0 and 1, then mark 1/2 halfway between them. Give students a moment to sketch their own line before anyone comes up to the board.
Ask a student to divide the whole into four equal intervals. Have the class check the spaces between marks, then count two intervals from zero. Write 2/4 above the midpoint and leave 1/2 below it. Ask a second student to explain why both names belong at that point.
Compare fractions using one-half
Give students 3/8 and 5/8. Ask everyone to predict which side of 1/2 each fraction belongs on. On the board, subdivide the fourths into eighths and label the midpoint 4/8. Invite two students to place the fractions and explain how 4/8 helped them decide. IES classroom materials on comparing fractions
Check what each student understood
Keep the worked example visible and give the class a fresh prompt. Ask students to draw a number line from 0 to 1, place 3/6, and write one sentence explaining its position. Look for equal intervals and a point halfway between the endpoints. If a student counts tick marks, have them trace the spaces from zero and try again.
For a classroom using a display such as the KEINONE 65-inch 4K Interactive Smart Board, draw the line wide enough that the back row can distinguish each mark. Try the activity in the whiteboard app you normally use. If the app has a straight-line tool, use it for the base line and let students add labels by hand. KEINONE 65-inch 4K Interactive Smart Board · KEINONE Smart Board collection
FAQ
Can I run the activity without draggable labels?
Yes. Ask students to write each fraction above its position and circle the matching tick. Leave equivalent fractions stacked above and below the same mark so the whole class can compare them.
What if students count the ticks instead of the intervals?
Ask a student to trace one interval at a time, starting at zero. On a line divided into fourths, there are four spaces between the two endpoints. Have the student count two spaces to locate 2/4.
How can I extend the activity beyond one whole?
Extend the line to 2, keeping the same distance between each whole number. Ask students where 5/4 belongs and have them explain what happens after the fourth interval.
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