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OnTRACK Algebra I: Properties and Attributes of Functions

Grade Range: 10 - 9
Subject: Math

Students will learn how to use the properties and attributes of functions.

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6.08 Bonus Video: Law of Sines—The Ambiguous Case

Resource ID: SE1210B
Grade Range: 10 - 9
Subject: Math

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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Study Edge Precalculus

Grade Range: 10 - 9
Subject: Math

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.

Please provide feedback on Study Edge's open-education resource instructional materials.

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5.01 Radians and Degree Measurements

Resource ID: SE121031
Grade Range: 10 - 9
Subject: Math

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

Resource ID: SE121032
Grade Range: 10 - 9
Subject: Math

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

Resource ID: SE121033
Grade Range: 10 - 9
Subject: Math

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

Resource ID: SE121034
Grade Range: 10 - 9
Subject: Math

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

Resource ID: SE121035
Grade Range: 10 - 9
Subject: Math

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

Resource ID: SE121036
Grade Range: 10 - 9
Subject: Math

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.

SE Resource updt
5.07 Graphs of Tangent and Cotangent

Resource ID: SE121037
Grade Range: 10 - 9
Subject: Math

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

Resource ID: SE121038
Grade Range: 10 - 9
Subject: Math

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

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Kid2Kid: Determining the Meaning of Slope and Intercepts

Resource ID: K2KA103
Grade Range: 10 - 9
Subject: Math

Kid2Kid videos on determining the meaning of slope and intercepts in English and Spanish

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Writing Equations to Describe Functional Relationships (Table → Equation)

Resource ID: A1M1L2
Grade Range: 10 - 9
Subject: Math

Given a problem situation represented in verbal or symbolic form, the student will identify functions.

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Writing Verbal Descriptions of Functional Relationships

Resource ID: A1M1L3a
Grade Range: 10 - 9
Subject: Math

Given a problem situation containing a functional relationship, the student will verbally describe the functional relationship that exists.

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Writing Inequalities to Describe Relationships (Graph → Symbolic)

Resource ID: A1M1L6
Grade Range: 10 - 9
Subject: Math

Given the graph of an inequality, students will write the symbolic representation of the inequality.

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Writing Inequalities to Describe Relationships (Symbolic → Graph)

Resource ID: A1M1L7
Grade Range: 10 - 9
Subject: Math

Describe functional relationships for given problem situations, and write equations or inequalities to answer questions arising from the situations.

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Connecting Multiple Representations of Functions

Resource ID: A1M1L8
Grade Range: 10 - 9
Subject: Math

The student will consider multiple representations of linear functions, including tables, mapping diagrams, graphs, and verbal descriptions.

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Writing the Symbolic Representation of a Function (Graph → Symbolic)

Resource ID: A1M1L9
Grade Range: 10 - 9
Subject: Math

Given the graph of a linear or quadratic function, the student will write the symbolic representation of the function.

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Determining Parent Functions (Verbal/Graph)

Resource ID: A1M2L1
Grade Range: 10 - 9
Subject: Math

Given a graph or verbal description of a function, the student will determine the parent function.

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Determining Reasonable Domains and Ranges (Verbal/Graph)

Resource ID: A1M2L2
Grade Range: 10 - 9
Subject: Math

Given a graph and/or verbal description of a situation (both continuous and discrete), the student will identify mathematical domains and ranges and determine reasonable domain and range values for the given situations.

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