F11 · Fractions Mixed Review: The Whole Unit, Interleaved
“I can choose the right fraction skill on my own. I can switch between sharing, adding, subtracting, and multiplying without being told which one to use.”
5/6 − 3/4. Name the skill first: this is subtraction, so the parts must match before we subtract. 6 and 4 are not related, so use the product of the denominators: 24. 5/6 = 20/24 and 3/4 = 18/24. Subtract: 20/24 − 18/24 = 2/24 = 1/12. Model both ways: bars in twenty-fourths with the two shaded lengths compared, AND both fractions placed on a 0–2 number line in twenty-fourths, with the gap between them marked 1/12.
Why must both fractions be rewritten before subtracting?
2/3 + 3/4 → 8/12 + 9/12 = 17/12 = 1 5/12.
7/8 − 1/4: the denominators are related, so 7/8 − 2/8 = ___. Finish the subtraction. → 5/8
10 scored questions with a 3-rung hint ladder. Mastery needs 8/10 plus both gate questions.