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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.

SE Resource updt
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.

SE Resource updt
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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Using Logical Reasoning to Prove Conjectures about Circles

Resource ID: GM1L19
Grade Range: 10 - 9
Subject: Math

Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

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Generalizing Geometric Properties of Ratios in Similar Figures

Resource ID: GM2L3
Grade Range: 10 - 9
Subject: Math

Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding angles.

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Determining Area: Sectors of Circles

Resource ID: GM4L3
Grade Range: 10 - 9
Subject: Math

Students will use proportional reasoning to develop formulas to determine the area of sectors of circles. Students will then solve problems involving the area of sectors of circles.

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Making Conjectures About Circles and Segments

Resource ID: GM4L16
Grade Range: 10 - 9
Subject: Math

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties and relationships among the resulting segments.

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Determining Area: Regular Polygons and Circles

Resource ID: GM4L1
Grade Range: 10 - 9
Subject: Math

The student will apply the formula for the area of regular polygons to solve problems.

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Making Conjectures About Circles and Angles

Resource ID: GM4L16a
Grade Range: 10 - 9
Subject: Math

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties of and relationships among the resulting angles.

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Solving Problems With Similar Figures

Resource ID: GM5L2
Grade Range: 10 - 9
Subject: Math

Given problem situations involving similar figures, the student will use ratios to solve the problems.

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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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