Grade 6 Math quiz: Dividing fractions by fractions

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What this quiz should check

Topic: Dividing fractions by fractions with visual models, equations and word problems (6.NS.A.1). A good grade 6 quiz on this asks students to:

• Explain what a fraction division problem is asking, such as how many 3/4-cup servings are in 2/3 of a cup
• Show a quotient of fractions with a visual fraction model or number line
• Compute a quotient of fractions and check it with multiplication
• Write and solve word problems that involve dividing a fraction by a fraction

Misconceptions worth a question

• Flipping the dividend instead of the divisor, or flipping both fractions
• Believing that division always makes a number smaller
• Following the invert-and-multiply rule without being able to say what the quotient means in the story

Teacher tip: 6.NS.A.1 asks students to interpret quotients with models and stories, not just compute, so tell the AI to include at least one question where students draw or pick the matching fraction model and one where they write a story for a given division.

Always check the AI's answer key before you give the quiz to students.

Teach it first

Plan the lesson on the same standard: objective, practice, differentiation and an exit ticket.

Grade 6 Dividing fractions by fractions lesson plan prompt →