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Angles in Standard Positions
Students identify positive and negative angles using the Unit Circle. For this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
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Functional Analysis
Young scholars 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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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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Unit Circle Lesson Plan
Students 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...
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Extrema on an Interval
Students explore maximum and minimum points, slopes and tangents. For this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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Radian Measure
Young mathematicians identify central angles, arcs and radius of circles in this pre-calculus lesson. 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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Arc Length Lesson
Students find the length of the arc of a circle. In 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...
West Contra Costa Unified School District
Introduction to Logarithms
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
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Area of a Triangle
Learners solve the area of triangles. In this precalculus activity, 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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Speaking Parametrically
Students solve equations by taking the derivative. For this calculus lesson, students solve parametric equations implicitly. They use the TI-calculator to graph their equations.
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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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Geometric Properties
Young scholars 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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"A Slice of the Cone"
Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...
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Quadratic Equations with Complex Coefficients
Students solve and graph quadratic equations. For this algebra lesson, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
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Graphs and Data
Students investigate poverty using graphs. In this algebra lesson plan, students collect data on the effects of poverty and use different rules to analyze the data. They graph and use the trapezoid rule to interpret the data.
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Applications of Triangles
Students apply the properties of a right triangle. For this triangle lesson, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
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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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Trigonometry
Learners investigate angles converting them from radians to degrees. In this trigonometry lesson, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and identify the...
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Using Objects to Object to Objectification
Learners use math functions in part to complete a metaphorical lesson on tolerance. In this math and tolerance lesson, students receive rows of functions and try to find a single simple shared property without success. Learners then...
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Decode Word Is..
Students solve problems using patterns. In this algebra lesson, students identify the relation, domain and range of a function. They graph functions using coordinate pairs.
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Relating Distance and Velocity Over Time
Students calculate the distance and velocity over time. In this algebra lesson, students graph a linear function to represent the distance vers time travel. They interpret their graphs and draw conclusion.
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Identities and Trigonometric Values
Students solve trigonometric equations. In this precalculus lesson, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different identities.
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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson plan, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.