This page gives a 45-minute plan for students to draw 3/4 of a strip and place it on a number line, plus resources grouped by task for a teaching week: plan, explain, practice and assess.
| I need to | Resource | What you will find |
|---|---|---|
| Plan a unit | How to teach fractions | Three sessions of 30 to 40 minutes: equal parts, a number line with equivalents, and comparison |
| An activity for tomorrow | Classroom activities | Tasks with simple materials and one piece of evidence of learning |
| Sheets to hand out | Worksheet generator | A sheet with an answer key, which repeats with the same seed |
| Students checking on their own | Answer checking | On-screen practice with a hint when the answer does not match |
| Word problems | Worked word problems | Solutions with units on every line and a check at the end |
The times and ages are an editorial suggestion, with no measured classroom results: adapt them to your group’s grade level and standards.
A 45-minute session
The session suits a group that already shares objects into equal parts and does not yet compare fractions with different denominators. It has one observable goal: students show a fraction on a bar and on the number line and explain why two ways of writing it have the same value. As a guide, it fits grades 3 and 4 (ages 8 to 10), but the exact grade depends on your program.
You need equal paper strips (one per student and a few spares), a ruler, pencils in two colors, and a sheet with a number line from 0 to 1. The timing is:
- 5 minutes to recall that the whole is the entire strip.
- 10 minutes to draw the fraction on the bar.
- 15 minutes to move it to the number line and compare it with an equivalent fraction.
- 10 minutes to analyze an anticipated error.
- 5 minutes for the exit question.
Complete activity: 3/4 of an 8-inch bar
Each student receives an 8-inch strip. They must mark three fourths of the strip and check that six eighths marks the same amount.
- Divide the strip into 4 equal parts. Each part is 2 inches long, because 8 ÷ 4 = 2.
- Color 3 parts. The colored part is 3 × 2 = 6 inches long, so 3/4 of 8 = 6.
- Divide the same strip into 8 parts. Each part is 1 inch long; color 6 and measure again: 6 inches.
- Place both marks on the number line. They land on the same point, so 6/8 simplifies to 3/4 by dividing top and bottom by 2.
Result: the colored part is 6 inches long in both drawings, so the two fractions are the same amount.
Check: 6 inches out of 8 inches is more than half (4 inches) and less than the whole strip.
The question to ask
Before they measure, ask what they expect to happen if they change from 4 parts to 8. Write the predictions on the board. Students who say “it gets smaller” give you the chance to go back to the whole: the strip has not changed, only the parts.
The error to anticipate
Exit question and evidence
On a small card, each student answers: “How long is 3/4 of a 12-inch bar? Draw and explain.” The correct answer is 9 inches, because 12 ÷ 4 = 3 and 3 × 3 = 9. Collect the cards and sort them into three piles: correct drawing with explanation, correct drawing without explanation, and incorrect drawing. The evidence from the session is that split, not a score.
Resources grouped by task
Plan. How to teach fractions proposes the order of the content; choose it when you start a unit and do not know where to begin. Benchmark fractions: 0, 1/2 and 1 gives you reference points for estimating. Fraction worksheets by grade organizes the sheets by grade, which helps when your group mixes levels.
Explain. These guides are for the moment when a student does not see why two drawings “do not match.” Comparing drawings with the same whole keeps two bars of different sizes from leading to false conclusions. How to draw fractions collects models for each idea, and Meanings of a fraction distinguishes part, quotient and ratio.
Practice. If the group already understands the idea and needs repetition, start here. The worksheet generator creates the sheet and the answer checker grades on screen. The printable worksheets are ready if you do not need your own numbers.
Assess. Before assigning a score, look at how the student reasons, not only the final result. Word problems and worked exercises show complete solutions you can use as a scoring guide. For families, How to help with fractions without doing the homework explains what to ask at home, and How to create fraction worksheets with answer keys details how to prepare your own sheets. When you need to check a quick calculation, the fraction calculator gives the exact result.
How to chain the resources in one week
One possible sequence starts on Monday with the planning guide, to decide how many sessions you give to equal parts, the number line and comparison. On Tuesday you bring this page’s 45-minute session into the classroom. On Wednesday you hand out a sheet from the generator and let students check their own answers on screen. On Thursday you work a couple of word problems, reading each step aloud. On Friday you use the exit question to decide what to review the following week. If a group moves faster, jump straight to the word problems; if it gets stuck on the drawings, go back to the paper strip before adding more calculation.
Complementary source in English
The Common Core State Standards for Mathematics group fractions in the Number and Operations—Fractions domain. Standard 3.NF.A.1 asks students to understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts, and 3.NF.A.2 asks them to understand a fraction as a number on the number line (thecorestandards.org, accessed October 17, 2026). Both match the strip and the number line in the session above. Before the session, ask the group to predict how long 3/4 of the strip will be, then have each student draw on a strip what they just measured.