Fraction Classroom · 2.0.0 · Student pages
Keep the unit when crossing one
Extend one steady fraction step past 1 and connect improper fractions to whole-number landmarks.
Anonymous group code: __________ Date: __________
Quick diagnosis
Try all three. Explain with words, a sketch, or objects.
d2. A line runs from 0 to 2 and is divided into eight equal intervals. Is each interval 1/8 of one unit?
d3. Fill the missing label when counting thirds: 1/3, 2/3, 3/3, __, 5/3.
Worked examples
Study the example that matches the difficulty. Keep the other for a second session.
w1. Locate 7/4 on a number line from 0 to 2.
- Keep 0 to 1 and 1 to 2 the same length.
- Split each whole unit into four equal intervals.
- Count seven fourth-size steps from zero: four reach 1 and three more reach 7/4.
- Check that eight fourths reach 2, so the point is one step before 2.
Worked example: 7/4 is three fourths after 1 and one fourth before 2.
w2. Two same-sized strips are each one whole. Shade 5/3 altogether.
- Divide each whole into three equal parts.
- Count five parts of size 1/3 across both strips.
- Three thirds fill the first whole; two thirds remain to shade.
- Name the total 5/3, which is 1 and 2/3.
Worked example: Shade all three thirds of the first strip and two thirds of the second.
Practice
For a short session, choose three tasks. Use the others for a second try or follow-up.
p1. Name six steps of size 1/3 from 0 as a fraction and as a whole number.
p2. Is 9/8 between 0 and 1, between 1 and 2, or beyond 2? Explain without drawing all the marks.
p3. Write the next two fractions after 5/4 when counting by fourths.
p4. Draw two equal whole strips. Show 4/3 and label each whole.
p5. A line has 0, 1, and 2 marked. There are two equal gaps in each unit. Name the point halfway between 1 and 2.
p6. A student says 8/4 is 1 because eight pieces are shown. What must be checked, and what is 8/4?
Transfer check
Try one independently. Save the other for a later check.