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Precalculus Pretest
Students complete a pretest as practice for their review. For this precalculus lesson, students find the distance between points and the trigonometric identity of the sine, cosine and tangent. They solve problems using complex and...
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Exploring Vertical Asymptotes
Scholars identify the domain of a rational function in this precalculus activity. They identify the removable discontinuity and label what will make the denominator zero. Learners also describe properties of the graph as it relates to...
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The Binomial Theorem
Sometimes, there is a better way. Scholars develop Pascal's triangle as a method to arrive at the coefficients of binomial expansions as an easier method to expand binomials. The learners connect the formula for binomial coefficients to...
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Curves from Geometry
Take a another look at ellipses. The seventh segment in a series of 23 in a Precalculus module continues to investigate the graph and equation of an ellipse from the previous activity. Scholars investigate the fact that the sum of...
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Function Composition
Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...
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Inverse Functions
Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding of...
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Logarithmic and Exponential Problem Solving
Just how old is it? The 22nd portion to a 23-part Precalculus unit uses radiocarbon dating and other exponential modeled real-world problems. Learners use the inverse relationship between logarithms and exponentials to solve the problem...
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Rational Functions
Students evaluate rational functions. In this precalculus lesson, students make observations and define what makes a rational function and what makes a linear function. They use the Ti calculator to visualize the different graphs.
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The Function Elevator
Students solve and graph functions. In this precalculus lesson, students use piecewise function to relate real life scenarios. They analyze the graphs and identify the vertex and intercepts.
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Particle Motion1
Students analyze piecewise functions. In this precalculus lesson, students identify the position, velocity and distance. They analyze the relationship between the graph, its position and velocity.
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Particle Motion 2
Students analyze the motion of a particle along a straight line. In this precalculus lesson, students use the TI to analyze the position of a function as they graph and visualise the function. They calculate the distance and velosity of...
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Position and Piecewise Velocity
Learners solve piecewise functions. In this precalculus lesson, students model real life scenarios using velocity and piecewise. They create velocity graphs and find the beginning and end position of an object.
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Absolute Value
Students solve equations with absolute value bars. In this precalculus instructional activity, students graph and identify the vertex and translation of absolute value functions. They match equations with given graphs.
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Dynagraphs
Students collect and graph their data. In this precalculus lesson, students identify the input and out of a function. They find the domain and range and the inverse of a function.
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Crossing the Asymptote
Students investigate graphs and their asymptotes. In this precalculus lesson, students examine the numerator and denominator of their rational functions. This helps them identify where and when the graph will cross its asymptote.
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Logarithmic Transformations of Data
Students investigate and study logarithmic equations. In this precalculus lesson plan, students analyze the data behind the function. They define each graph as positive, negative or no correlation. They find the line of best fit.
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Slope and Tangent
Learners differentiate between the slope and the tangent of the horizontal. In this precalculus lesson, students examine slopes created by tangent lines. They observe the angle formed using properties of the unit circle.
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Trigonometric Transformations
Students perform transformation on trig functions. In this precalculus lesson, students relate the London Eye observation wheel to trig function. They use a TI navigator to visualise the parameter created by this view and relate it to...
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The Unit Circle
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
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More of DeMoivre's Theorem
Students identify DeMoivre's Theorem. In this precalculus lesson, students derive the law of sine and cosine as it relates to DeMoivre's Theorem. They identify the best time to use these formulas.
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Law of Sines Word Problems
Students solve word problems using the law of sines. In this precalculus lesson, students work in groups as they define vocabulary terms. They apply the formula of sine to answer and solve problems.
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Law of Sines
Students solve problems using sine and cosine. In this precalculus lesson, students ask questions about the Law of sines and its application to the real world. They derive the correct formula of sine for each problem.
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Comparing Exponential and Power Functions
Young scholars compare and contrast exponential and power functions. In this precalculus lesson, students identify the value of x, using the graph as a visual. They compare functions with base of greater than one, to base of less than one.
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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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