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Angles in Standard Positions
Students identify positive and negative angles using the Unit Circle. In this pre-calculus instructional activity, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a...
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Functional Analysis
Learners perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
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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 limit.
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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...
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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...
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Transformation of Graphs
In 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. Answers...
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The Laws of Sines and Cosines Made Simple!
Students study the law of sine and cosine. For this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
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Extrema on an Interval
Learners explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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NUMB3RS Activity: Narrowing the Search
Young scholars explore the length of an n-dimensional vector. In this Algebra II/Pre-calculus lesson, students investigate an expansion of the Pythagorean Theorem to n-dimensional space.
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Buying Your First New Car!
Learners explore exponential growth and decay using M&M’s in this Algebra II/Pre-calculus instructional activity. They investigate the cost of a new car by calculating depreciation and payments.
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Concepts in Precalculus 1: Trigonometry
Learners investigate trigonometry. In this Algebra II/Pre-calculus/Trigonometry lesson, students explore Islamic achievements in mathematics as they calculate angles and distances using the Law of Sines and the Law of Cosines. ...
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Unit Circle
In this Pre-Calculus worksheet, students solve problems involving angles and the unit circle. The four page worksheet contains a combination of twenty multiple choice and free response problems. Answers are provided.
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Radian Measure
Young mathematicians identify central angles, arcs and radius of circles in this pre-calculus lesson plan. They identify the proportion of the circle based on its radius while they convert between degrees and radians measurements.
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Sum of Infinite Geometric Series
Your mathematicians solve problems using geometric series in this pre-calculus lesson. They divide a unit square into very small pieces and identify the reasoning behind the sum of a series being less than one.
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Mathematices: Pre-Calculus
Learners relate polynomials to real life situations. In this algebra lesson, students graph equations through modeling and data collection. They must be comfortable doing word problems.
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Trigonometric Ratios
Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.
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Linear and Quadratic Approximations
Students explore a linear, a parabolic, and a log function. In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function. Students examine the three graphs as they compare and contrast...
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Distance and Complex Numbers 1
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
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Area of a Triangle
Students solve the area of triangles. For this precalculus lesson, students are given two sides of a triangle and asked to calculate the area. They apply the law of sine and the side-angle-side area formula to solve.
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Product Rule
Students investigate the Product Rule for Derivatives and apply it to a variety of different types of problems. They think critically while using the rule and follow the examples included in the lesson to help find the solutions to...
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Chill Out
Students investigate Newton’s Law of Cooling. In this Algebra II/ Pre-Calculus lesson, students explore exponential regression as they conduct an experiment to simulate the temperature variations that occur as a liquid cools. The...
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Speaking Parametrically
Students 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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Vertical and Horizontal Translations
Students analyze function graphs. In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the translation...
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Logarithms
In this pre-calculus worksheet, students write equations in exponential form and logarithmic form. Students solve and graph logarithmic equations. The two page worksheet contains eighty-six problems. Answers are provided.
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