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Using Theoretical and Experimental Probability to Make Predictions

Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.

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Converting Between Measurement Systems

Given a real-world situation with measurements in either metric/SI or customary units, the student will solve a problem requiring them to convert from one system to the other.

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6.08 Bonus Video: Law of Sines—The Ambiguous Case

The Law of Sines can be used to solve for sides and angles of oblique triangles. However, in some cases more than one triangle may satisfy the given conditions. We refer to this as an ambiguous case.

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5.01 Radians and Degree Measurements

In this video, students will learn the basics of angle measurements, definitions of various types of angles, radians and degrees, along with arc length and area of a sector.

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5.02 Linear and Angular Velocity

In this video, students will learn about angular and linear velocity and how each relates to unit conversions.

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5.03 Trigonometric Ratios

In this video, we will define the trigonometric ratios in terms of the sides of a right triangle.

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5.04 Trigonometric Angles and the Unit Circle

In this video, students will learn special angles and the unit circle, and learn how to apply them.

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5.05 Graphs of Sine and Cosine

In this video, students will learn how to graph sine and cosine and how to interpret graphs of sine and cosine.

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5.06 Graphs of Secant and Cosecant

In this video, students will learn how to graph and interpret graphs of secant and cosecant, and how secant and cosecant relate to sine and cosine.

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5.07 Graphs of Tangent and Cotangent

In this video, students will learn how to graph and how to interpret graphs of tangent and cotangent.

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5.08 Inverse Trigonometric Functions and Graphs

In this video, students will explore the relationship between trigonometric functions and their inverses.

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Recognizing Misuses of Graphical or Numerical Information

Given a problem situation, the student will analyze data presented in graphical or tabular form by evaluating the predictions and conclusions based on the information given.

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Evaluating Methods of Sampling from a Set of Data

Given a problem situation, the student will evaluate a method of sampling to determine the validity of an inference made from the set of data.

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6.01 Trigonometric Identities

In this video students will learn trigonometric identities, where they are derived from, and apply them in problems.

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6.02 Solving Trigonometric Equations

In this video, students will learn to solve trigonometric equations for cases of a set interval and of all solutions.

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6.03 Sum and Difference Formulas of Trigonometric Functions

In this video, students will apply the sum and difference formulas of trigonometry.

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6.04 Double Angle and Half Angle Formulas of Trigonometric Functions

In this video, students will learn double and half angle formulas, and how they are derived, and will apply them to various problems.

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6.05 Law of Sines and Cosines

In this video, students will expand their knowledge to oblique triangles and apply the laws of sines and cosines, followed by area equations for oblique triangles.

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6.06 Trigonometric Word Problems

In this video, students will use their knowledge of trigonometry and apply that knowledge to word problems.

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6.07 Vectors

In this video, students are introduced to vectors, learn about vector addition and scalar multiplication, and then apply vectors to word problems.