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Functions and Relations
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Solving these problems is more easily done if the student can find a function or rule to fit data which is given or collected. Problems may also focus on function notation and ideas such as
domain and range.
- Related Resources
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Interactive resources from our Math Tools project:
Algebra: Functions & Relations
The closest match in our Ask Dr. Math archives:
High School: Functions
NCTM Standards:
Algebra Standard for Grades 9-12
Access to these problems requires a Membership.
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The Chip Swap Game
- Ethel Breuche
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Algebra, difficulty level 4. The object of this game is to swap the positions of the different colored chips. Count the number of moves and, as you increase the number of chips, find the general formula.
... more>>
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Filling Glasses
- Annie Fetter
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Algebra, difficulty level 2. Match up each of the three glasses with the graph that best describes the height of the water in the glass over time, when the glass is filled with water at a constant rate.
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The Function Challenge
- Bill Graham
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Algebra, difficulty level 2. Arrange a series of functions in the order that will produce the largest output.
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The Straggler Shakes Hands
- Melissa Kennedy, Susan Rose, Ethel Breuche
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Algebra, difficulty level 3. There were one hundred forty-one handshakes in all. How many people did the straggler know? This puzzle involves a quadratic expression and triangular numbers.
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Voter Turnout
- Steve Risberg
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Algebra, difficulty level 2. A group of students collected data on voter turnout for the recent
election and plotted graphs broken down by age groups. Can you match
each age group with its graph?
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The World's Meanest Math Teacher
- Bill Graham
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Algebra, difficulty level 3. Students seated around a circular table are being systematically eliminated. What's the rule to follow to be the last one eliminated?
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