Other Lessons

Calculus

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CA Standards
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NCTM Standards
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Trig/Calculus Problem of the Week - The Math Forum
The Trig/Calculus Problem of the Week is for high school students and is administered by the Math Forum. Questions reflecting different levels of difficulty are drawn from a variety of sources: textbooks, math contests, NCTM books, puzzle books, and real-life situations. The goal is to challenge students with non-routine problems and encourage them to put their solutions into words.
#1-27

9-12: 1, 2, 3, 9, 13

Alvirne High School AP Calculus Site - Problem #1
The first problem is on the meaning of the first and second derivative.
#4.1, #4.2

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #2
The second problem is a minimum distance problem.
#5

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #3
The third problem is on continuity.
#1, #4.3

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #4
The fourth problem is an optimization problem.
#11

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #5
The fifth problem is an optimization problem.
#11

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #6
The sixth problem is a motion problem.
#6

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #7
The seventh problem is a related rates problem.
#12

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #8
The eighth problem is a related rates problem.
#12

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #9
The ninth problem is a differential equations problem.
#14, #27

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #10
The tenth problem is differentiation problem.
#4.2

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #12
The eleventh problem is an average vs instantaneous velocity problem.
#4.2

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #13
The thirteenth problem is an accumulated rate of change problem.
#4.2

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #14
The fourteenth problem is an acceleration problem.
#4.2

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #15
The fifteenth problem is a motion problem.
#4.2

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #16
The sixteenth problem is a related rates problem.
#12

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #17
The seventeenth problem is a density problem.
#14, #16

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #18
The eighteenth problem is a volume problem.
#14, #16

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #19
The nineteenth problem is a differential equations problem.
#27

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #20
The twentieth problem is a motion problem.
#4.2

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #21
The twenty-first problem is a work problem.
#14, #16

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #22
The twenty-second problem is a growth problem.
#17, #27

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #23
The twenty-third problem is a motion problem.
#12

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #24
The twenty-fourth problem is a volume and area problem.
#14, #16

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #25
The twenty-fifth problem is an accumulation function problem.
#14, #16, #17, #27

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #26
The twenty-sixth problem is a differential equation problem.
#4.4, #11, #17, #27

9-12: 1, 13

Alvirne High School AP Calculus Site - Problem #27
The twenty-seventh problem is a differential equation problem.
#4.4, #11, #17, #27

9-12: 1, 13

Suggestions or comments to
Jim Shaver
Last updated November 28, 1998