Study Edge Precalculus
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Precalculus is the preparation for calculus. The course approaches is designed to strengthen and enhance conceptual understanding and mathematical reasoning used when modeling and solving mathematical and real-world problems. Students systematically work with functions and their multiple representations. Precalculus can deepen students' mathematical understanding and fluency with algebra and trigonometry and extends their ability to make connections and apply concepts and procedures at higher levels. Students will investigate and explore mathematical ideas, develop multiple strategies for analyzing complex situations, and use technology to build understanding, make connections between representations, and provide support in solving problems (TAC §111.42(b)(3)).
This video book is brought to you by TEA and Study Edge. It may be used to teach an entire Precalculus course or to supplement traditional Precalculus textbooks.
This open-education-resource instructional material by TEA is licensed under a Creative Commons Attribution 4.0 International Public License in accordance with Chapter 31 of the Texas Education Code.
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8 Chapter 5: Introduction to Trigonometry and Graphs
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In this chapter, we will explore angle measures and the trigonometric ratios, including graphing and inverses.
5 Chapter 7: Sequences and Series
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In this chapter, we introduce sequences and series, some of their applications, and the Binomial Theorem.
3 Chapter 4: Systems of Equations
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In this chapter, we will explore the methods used to solve systems of equations, and real-world situations involving systems of equations.
6 Chapter 2: Polynomial and Rational Functions
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In this chapter, we will explore beyond linear functions and learn about polynomial and rational functions.
8 Chapter 6: Trigonometric Identities and Applications
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In this chapter, students will learn a robust list of trigonometric identities along with their applications. Students will also be introduced to vectors.
7 Chapter 8: Conic Sections, Parametric Equations, and Polar Coordinates
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In this chapter, we introduce conic sections, parametric equations, and polar coordinates.
5 Chapter 1: Introduction to Functions and Graphs
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In this chapter, students are introduced to lines, functions, and graphs of functions.
8 Chapter 3: Exponential and Logarithmic Functions
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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.
4 OnTRACK Grade 7 Math: Number and Operations
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Students will learn how to apply mathematical process standards to represent and use real numbers in a variety of forms.
19 OnTRACK Grade 7 Math: Proportionality
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Students will learn to use proportional relationships to describe dilations; to explain proportional and non-proportional relationships involving slope; and to use proportional and non-proportional relationships to develop foundational concepts of functions.
7 OnTRACK Grade 7 Math: Expressions, Equations, and Relationships
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Students will learn to develop mathematical relationships and make connections to geometric formulas; use geometry to solve problems; use one-variable equations or inequalities in problem situations; and use multiple representations to develop foundational concepts of simultaneous linear equations.
11 OnTRACK Grade 8 Math: Proportionality
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Students learn to to use proportional relationships to describe dilation; explain proportional and non-proportional relationships involving slope; and use proportional and non-proportional relationships to develop foundational concepts of functions.