LESSON BRIEF: EQUIVALENT FRACTIONS
Learners: students who can identify halves, quarters, and eighths of one equal-sized whole.
Prerequisites: equal parts; numerator counts selected parts; denominator counts all equal parts.
Objective: explain with equal-sized fraction strips why 1/2 = 2/4 = 4/8.
Materials: equal-length paper strips, pencils, and one response slip per learner.
Suggested duration: 20 minutes; adjust to the class.
Create six student-facing slides:
1. Retrieval: show four equal parts with one shaded. Ask what 1 and 4 represent. (2 min)
2. Compare: same-sized strips, one half shaded and two quarters shaded. Ask whether the amounts differ. (3 min)
3. Model: split every half into two equal parts, then every quarter into two. Keep the same shaded length. Show 1/2 = 2/4 = 4/8. (4 min)
4. Guided practice: show 3/4; split each quarter into two. Ask how many eighths are shaded and why. (4 min)
5. Explain an error: one student says 1/2 = 1/4 because both numerators are 1. Ask a partner to correct the claim using equal-sized wholes. (4 min)
6. Exit ticket: complete 1/2 = __/8 and explain why the shaded amount stays the same. (3 min)
Separate teacher explanations and answer key from student questions. Do not reveal the exit-ticket answer on its question slide.
Visual constraint: each strip must have identical overall dimensions; partitions within a strip must be equal; shade 1 of 2, 2 of 4, and 4 of 8 parts respectively.
Answer key: retrieval = 1 shaded part out of 4 equal parts; guided practice = 6/8; error explanation = the denominator changes the size of each part; exit ticket = 4/8 because the same half is divided into four eighths. This comparison assumes equal-sized wholes.