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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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8 Chapter 5: Introduction to Trigonometry and Graphs

In this chapter, we will explore angle measures and the trigonometric ratios, including graphing and inverses.

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5 Chapter 7: Sequences and Series

In this chapter, we introduce sequences and series, some of their applications, and the Binomial Theorem.

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3 Chapter 4: Systems of Equations

In this chapter, we will explore the methods used to solve systems of equations, and real-world situations involving systems of equations.

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6 Chapter 2: Polynomial and Rational Functions

In this chapter, we will explore beyond linear functions and learn about polynomial and rational functions.

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8 Chapter 6: Trigonometric Identities and Applications

In this chapter, students will learn a robust list of trigonometric identities along with their applications. Students will also be introduced to vectors.

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7 Chapter 8: Conic Sections, Parametric Equations, and Polar Coordinates

In this chapter, we introduce conic sections, parametric equations, and polar coordinates.

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5 Chapter 1: Introduction to Functions and Graphs

In this chapter, students are introduced to lines, functions, and graphs of functions.

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8 Chapter 3: Exponential and Logarithmic Functions

In this chapter, students are introduced to exponential and logarithmic functions. Students will learn about the functions' graphs, how to solve equations involving those functions, and their real-world applications.

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Gravitational Force

This resource provides flexible alternate or additional learning activities for students learning about the gravitational attraction between objects of different masses at different distances. IPC TEKS (4)(F)

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Conservation of Momentum

This resource was created to support TEKS IPC(4)(E).

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Objects in Motion

This resource provides flexible alternate or additional learning activities for students learning about the concepts of distance, speed, and acceleration. IPC TEKS (4)(A)

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Domain and Range: Numerical Representations

Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

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Transformations of Square Root and Rational Functions

Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.

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Transformations of Exponential and Logarithmic Functions

Given an exponential or logarithmic function, the student will describe the effects of parameter changes.

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Solving Square Root Equations Using Tables and Graphs

Given a square root equation, the student will solve the equation using tables or graphs - connecting the two methods of solution.

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Functions and their Inverses

Given a functional relationship in a variety of representations (table, graph, mapping diagram, equation, or verbal form), the student will determine the inverse of the function.

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Rational Functions: Predicting the Effects of Parameter Changes

Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.

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Transformations of Absolute Value Functions

Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x – c), and f(x) + d for specific positive and negative real values.

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Domain and Range: Graphs

Given a function in graph form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.