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Math Graphs
Houghton Mifflin: Math Graphs: Arc Length [Pdf]
The problem investigates arc length. The practice exercise has students label and interpret graphs. The handout is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching the Function 2 [Pdf]
The exercise examines the relationship between the graph and its derivative. The handout is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching the Function 3 [Pdf]
The exercise examines the relationship between the graph and its derivative. The handout is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 11 [Pdf]
Students sketch a graph of g(x) by transforming f(x). The exercise consists of an enlarged printable version of a graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 12 [Pdf]
Students sketch a graph of g(x) by transforming f(x). The exercise consists of an enlarged printable version of a graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 15 [Pdf]
The exercise investigates a transformation on a given graph. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 16 [Pdf]
The exercise investigates a transformation on a given graph. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 19 [Pdf]
The exercise gives learners practice with shifting up and down, left and right, and other graphical transformations. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 20 [Pdf]
The exercise gives students practice with shifting up and down, left and right, and other graphical transformations. The graph is available in PDF format.
Rice University
Rice University: Cynthia Lanius: Fun and Sun Rent a Car
A wide range of math skills is incorporated into a lesson that involves planning a family's vacation to Florida. Travel expenses are gathered and compared, graphed, and analyzed in hopes of finding the best prices. There are extension...
Khan Academy
Khan Academy: Representing Graphs
Test edge lists, adjacency lists, adjacency matrices.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Applications of Maxima and Minima
Students learn how to apply maxima and minima in real world problems. Topics include optimization problems, objective functions, and constraints. The tutorial explores the calculus concepts through notes and examples. A chapter quiz,...
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 5 [Pdf]
The exercise examines partial fraction decomposition of a rational function. Students determine any vertical asymptotes of the rational function and the terms of the decomposition. The rational function graph is available in PDF format.
Duke University
Calculating the Volume of a Vase
This site is a wonderful exercise for students with a Calculus base. The site gives an interactive drawing of a vase where the measurements of the diameter of the vase are at any point. The student then finds the volume using calculus....
California State University
Cal State, San Bernadino: Hyperbolas
An excellent site describing the equations for hyperbolas, including graphs of hyperbolic functions and multiple exercises for practice.
Integrated Publishing
Integrated Publishing: Maximum and Minimum Points
An explanation of how to find maximum (or minimum) point of a quadratic equation, including graphs to enhance understanding. Includes several examples/exercises, with solutions on the page.
Oswego City School District
Regents Exam Prep Center: Exponential Growth and Decay
Find material to use when planning instruction on exponential growth and decay. A lesson offers several examples, graphs, and explanations, and there are two practice exercises and a group activity for testing and applying concepts learned.
Khan Academy
Khan Academy: Absolute Maxima and Minima
Given the graph of a function, find its absolute maximum and minimum points.
Khan Academy
Khan Academy: Increasing and Decreasing Intervals
Highlight intervals on the domain of a function where it's only increasing or only decreasing.
Khan Academy
Khan Academy: Slope From Two Points
In this exercise, students practice determining the linear equation and slope from two points on a line graph. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions repeatedly.
Khan Academy
Khan Academy: Positive and Negative Intervals
Highlight intervals on the domain of a function where it's entirely positive or entirely negative.
Khan Academy
Khan Academy: Periodicity of Algebraic Models
Given the graph that models a real world context, answer a question about the periodicity of the graph.
Khan Academy
Khan Academy: Relative Maxima and Minima
Given the graph of a function, find all of its relative maximum and minimum points.