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Tournament Brackets and Scoring Replays

Divide fractions and mixed numbers using models, equations, tournament schedules, and basketball scoring situations.

Grade 6MathInteractive · Printable

Aligned to6.NS.A.1

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 6
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

Students interpret fraction division using models and multiplication equations.
Students divide fractions and mixed numbers by fractions.
Students solve tournament planning and scoring problems involving fraction division.

How to use

Have students show calculations on separate paper. Discuss how the context determines whether to report a fractional quotient or a count of complete groups.

Curriculum

Common Core standard covered

6.NS.A.1

Divide fractions by fractions, explain the quotient with models or equations, and solve word problems that need it.

Preview

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Tournament Brackets and Scoring Replays

Use fraction division to plan a youth basketball tournament.

Interpret the Quotient

Use models and equations to interpret fraction division. Write numerical answers as whole numbers or simplified fractions.

The entire bar represents 1 minute. The shaded part represents the time available for scoring replays. Each replay lasts 1/4 minute.

How many replays fit in the shaded time? replays

A tournament recap has 7/10 minute available. One full scoring sequence lasts 3/5 minute. Let n represent the number of sequence-lengths that fit, including part of a sequence. Which equation models the situation?

A. (7/10)n = 3/5
B. (3/5) × (7/10) = n
C. (3/5)n = 7/10
D. (3/5)n = 1

The video editor divides 5/8 minute of footage into segments of 3/10 minute. Which calculation correctly finds the number of segment-lengths, including a partial segment?