Curated OER
AP Exam Rubrics/ Four Color Theorem
Twelfth graders review free response questions that are present on the AP exam. In this calculus lesson, 12th graders analyze the 4 color theorem that proved 4 colors were enough to color a map while still separating adjacent countries....
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Law of Sines
High schoolers identify the ratios of a right triangle. In this calculus lesson, students use the law of sines to solve problems involving non-right triangles. They identify the different parts of a triangle.
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Half Angle
Students calculate the solution using half angles formulas. In this calculus instructional activity, students identify the different properties of a triangle using trigonometric properties. They identify the mean, altitude and angles of...
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Limits
Students analyze data algebraically. In this calculus lesson, students determine the limit based on the 3 properties of limits. They identify the domain and range of each function.
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Secant and Secant Segments
Students use the secant and secant segment theorem to solve problems. In this calculus instructional activity, students identify where the secant line crosses on a circle. They create circles and secants using cabri software.
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Regressive Music
Student use the Ti calculator to graph sinusoidal graphs. In this calculus lesson, students use the CBL to collect and analyze data of sinusoidal graphs. They manipulate their collected data and make predictions.
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Speaking Parametrically
Young scholars solve equations by taking the derivative. In this calculus lesson, students solve parametric equations implicitly. They use the TI-calculator to graph their equations.
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Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a...
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Calculus
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson plan is on the interplay between the geometric and analytic information.
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The History of Mathematics
Research the interrelationship between math and science. Search the Internet to discover the history of several branches of mathematics and make text-to-world connections between the concepts covered in each branch with related...
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Stars and Slopes
More of a math lesson than physics or space science, high schoolers take a set of data and plot it on a log-log coordinate system. The write-up for day two was never completed, but day one, "Stars and Slopes," is complex and cohesive....
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Cutting Corners - Parts 1 and 2
Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
EngageNY
Inverses of Logarithmic and Exponential Functions
Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...
EngageNY
Horizontal and Vertical Asymptotes of Graphs of Rational Functions
Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...
Curated OER
Worksheet 1
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
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Converge or Diverge?
Students prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and examine...
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Absolute Value And Symmetry
Students engage in a lesson that is concerned with the concepts of absolute value and symmetry. They define the meaning of absolute value and graph functions and study the corresponding line and its symmetry. The lesson includes calculus...
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Computation Of Limits
Students engage in a lesson about the limits of mathematics. They practice computing the limits in a introduction to a course in calculus. Students are guided through sample problems that are provided in the lesson. They demonstrate...
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Review For Test On Chapter 5
Students engage in a study of various concepts in relation to preparing for a calculus exam. They sketch and discuss and sketch a variety of functions. The lesson includes an outline of review that should be used by the teacher before...
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Drawing a Line Tangent to a Circle
Explore lines tangent to a circle. In this math lesson, students manipulate circles and lines on a TI calculator. They draw a circle and analyze perpendicular lines intersecting the circle in only one place. This activity works...
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Extreme Values
Students sketch a picture of what appears on a computer screen. Locate the extreme points on the pictures and label them as maxima or minima. Use the definitions of maxima and minima to explain how you identified the points indicated, if...
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Worksheet 11 - Fall 95
In this calculus worksheet, students solve differentiable functions, determine the inverse of a function and identify the derivative. This one-page worksheet contains seven multi-step problems.
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Types of Functions and Composition of Functions
Algebra II classes solve problems relating to piecewise functions, step functions, and decomposition/composition of functions. They utilize links to work with real world examples. Mr. Pleacher has added humor to the lesson by including...
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Transformation of Graphs
For this college level Pre-calculus worksheet, students examine families of functions and describe how graphs of the transformation can be obtained from the parent graph. The four page worksheet contains seventy-two problems. ...
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