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Worksheet #5, Concavity,
In this calculus worksheet, students determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative extrema of a...
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Finding the Limit of Composite functions
In this pre-calculus activity, students calculate the composite of two functions as well as perform basic operations in order to determine the limit as x approaches a given number. There are 4 questions.
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Extra! Extra! (Geometry Extensions)
Learners respond to questions based on quotes, research, and logic, and challenge problems related to the current objectives.
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Max/Min Problems for Review
In this Algebra II/Pre-Calculus instructional activity, students determine the points of inflections for various functions and use the answers to complete a riddle. The one page instructional activity contains seven problems. Answers...
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Video On Integration And Quiz On Induction
Students engage in a lesson that is concerned with the concepts of integration and induction. They view a video about integration and take a quiz on induction. Students use the resource links to view information added to the lesson to...
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Parabolas in Flight
Students utilize a trajectory formula in order to discover the physics of a thrown ball. In this physics lesson plan, students videotape the trajectory of a thrown ball or basketball shot and analyze the action by breaking the video...
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Precalculus Test
In this college level Pre-Calculus worksheet, students assess their knowledge and understanding of inverse trigonometric functions. The two page worksheet contains sixteen multiple choice and short answers questions. Answers are not...
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Riemann Sums
In this calculus worksheet, students solve prolbem in which they estimate double integrals by using Riemann sums. The three page worksheet contains four questions. Answers are not included.
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Homer/Scarecrow Worksheet
In this Pre-calculus worksheet, students consider a scenes from The Wizard of Oz and The Simpsons refering to the Pythagorean Theorem. Students analyze the statement for errors and write about another mathematical formula that they know....
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I Have...Who Has ... Cards - Limits
In this limits worksheet, students solve 20 limits problems. Students each have a card with a limit problem and answer. Students solve the limit problem and find the person with their answer.
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Instantaneous Rate of Change of a Function
Pupils draw the graph of a door opening and closing over time. They graph a given function on their calculators, create a table of values and interpret the results by telling if the door is opening or closing and evaluate the average...
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Geometric Properties
Students find triangular angles using the angle theorem. In this geometry lesson, students describe labeled triangles, use the pythagorean theorem, and rewrite information about triangles in standard form.
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NUMB3RS - Season 2 - "Convergence" - Air Hockey
Learn how to use a matrix to organize data to solve a problem. This activity uses wins and losses to rank players for an air hockey tournament they wish to have. After practicing some basic matrix operations the class could do the...
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Zeros of a Cubic
Mathematicians explore cubic functions by learning how to investigate the relationship between the x-coordinates of the three zeros of a cubic function. The lesson plan also contains an application of differentiation.
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The Graph of the Natural Logarithm Function
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
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The Exact Differential
Learners integrate functions using u substitution. In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du. Learners integrate...
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Introduction to Limits
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
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Unit Circle Lesson Plan
Learners identify different locations on a unit circle. In this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them remember...
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The Region Between Two Curves
Learners find the area of a region between two curves. They integrate functions such as sin(x) and cos(x) on a given interval and find the area bounded by the two functions. Pupils use their TI-89 to aid them in finding the bounded...
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Number Tick Tack Toe: Multicultural Awareness and Appreciation Adaptation
Students focus on this activity would be differences in ability and disability. Some of the students in the class do very well in this activity and often, or always, win in the games of Number Tick Tack Toe; other students struggle and...
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Trigonometric Functions of Acute Right Triangles
Students derive the six trigonometric functions. In this trigonometry lesson, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of sine,...
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Arc Length Lesson
Learners find the length of the arc of a circle. For this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
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Move My Way: A CBR Analysis of Rates of Change
Learners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, students use specific functions on their calculators to create graphs and...
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Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...