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Curated OER
Logarithmic Transformations of Data
Young scholars investigate and study logarithmic equations. In this precalculus lesson, 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
Young scholars differentiate between the slope and the tangent of the horizontal. For this precalculus lesson, students examine slopes created by tangent lines. They observe the angle formed using properties of the unit circle.
Curated OER
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...
Curated OER
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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The Function Elevator
Students solve and graph functions. For 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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Position and Piecewise Velocity
Learners solve piecewise functions. In this precalculus instructional activity, 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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Rational Functions
Pupils 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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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
Students 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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Law of Cosines Practice
Learners practice solving problems with non-right triangles. In this precalculus lesson, students define and identify the properties of the Law of Cosine. They solve problems and investigate the history behind Cosine.
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Sin, Cos and Tangent
Learners find the identity o sine, cosine and tangent. In this precalculus lesson plan, students solve and identify the different parts of a right triangle. They use the ratios of the Pythagorean Theorem to find the missing side or angle.
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The Slope of a Curve
Students graph the slopes of a line using the intercepts. In this precalculus lesson, students identify the properties of a curve slope. They find the limit and use a graping calculator to graph their lines.
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Law of Cosines Word Problem
Learners solve problems using the law of cosines. In this precalculus lesson, students meet different criteria as they solve problems. They apply the formula for cosines to solve word problems.
EngageNY
Matrix Arithmetic in Its Own Right
Matrix multiplication can seem random to pupils. Here's a instructional activity that uses a real-life example situation to reinforce the purpose of matrix multiplication. Learners discover how to multiply matrices and relate the process...
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Analyzing Decisions and Strategies Using Probability 1
Learn how to increase the probability of success. The 19th installment of a 21-part module teaches future mathematicians how to use probability to analyze decisions. They determine strategies to maximize the chances of a desired outcome.
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Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
EngageNY
Solutions to Polynomial Equations
Take a step back to Algebra II. The first lesson in a series of 23 asks scholars to remember working with quadratic equations with complex solutions. Pupils apply polynomial identities to complex numbers and work examples that show how...
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Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson plan...
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Modeling Video Game Motion with Matrices 1
Video game characters move straight with matrices. The first day of a two-day instructional activity introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine...
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When Can We Reverse a Transformation? 3
When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third instructional activity on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous...
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Getting a Handle on New Transformations 1
In the first of a two-day lesson on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding...
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Special Triangles and the Unit Circle
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...
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Waves, Sinusoids, and Identities
What is the net effect when two waves interfere with each other? The lesson plan answers this question by helping the class visualize waves through graphing. Pupils graph individual waves and determine the effect of the interference...
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Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...