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Tournament Bracket: Scoring Limits

Model basketball tournament limits with inequalities, graph solutions, and distinguish possible game scores from continuous solution sets.

Grade 6MathInteractive · Printable

Aligned to6.EE.B.8

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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, Drawing

About this worksheet

What students practice

Students write inequalities to represent strict limits in basketball tournament situations.
Students graph inequalities using open endpoints and rays on number lines.
Students identify solutions and explain why a numerical inequality has infinitely many solutions.

How to use

Use after introducing inequality symbols. Have students draw graph rays with arrows and discuss why whole-number scores differ from unrestricted numerical solutions.

Curriculum

Common Core standard covered

6.EE.B.8

Write inequalities like x > c or x < c for real-world limits, see they have infinitely many solutions, and graph them.

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Name Date

Tournament Bracket: Scoring Limits

Write inequalities, graph solution sets, and test tournament limits.

Bracket Decisions

Choose or complete an inequality for each tournament rule. A strict limit does not include the boundary value.

The table shows two quarterfinal results. Let x be Harbor's score. Which inequality describes the scores that would let Harbor defeat Ridge without overtime?

Quarterfinal Bracket
Match	Team	Points
A	Harbor	x
A	Ridge	47
B	Central	52
B	West	49

A. x > 47
B. x > 52
C. x = 47
D. x < 47

A tournament scoring award requires an average of more than 14.5 points per game. Let p be a player's average. Which inequality represents the requirement?