Developing the Concept of Slope
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Given multiple representations of linear functions, the student will develop the concept of slope as a rate of change.
Generating Different Representations of Relationships
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Given problems that include data, the student will generate different representations, such as a table, graph, equation, or verbal description.
Approximating the Value of Irrational Numbers
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Given problem situations that include pictorial representations of irrational numbers, the student will find the approximate value of the irrational numbers.
Expressing Numbers in Scientific Notation
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Given problem situations, the student will express numbers in scientific notation.
Predicting, Finding, and Justifying Data from a Graph
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Given data in the form of a graph, the student will use the graph to interpret solutions to problems.
Determining if a Relationship is a Functional Relationship
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The student is expected to gather and record data & use data sets to determine functional relationships between quantities.
Graphing Dilations, Reflections, and Translations
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Given a coordinate plane, the student will graph dilations, reflections, and translations, and use those graphs to solve problems.
Graphing and Applying Coordinate Dilations
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Given a coordinate plane or coordinate representations of a dilation, the student will graph dilations and use those graphs to solve problems.
Determining Slopes from Equations, Graphs, and Tables
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Given algebraic, tabular, and graphical representations of linear functions, the student will determine the slope of the relationship from each of the representations.
5.01 Radians and Degree Measurements
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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.
5.02 Linear and Angular Velocity
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In this video, students will learn about angular and linear velocity and how each relates to unit conversions.
5.03 Trigonometric Ratios
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In this video, we will define the trigonometric ratios in terms of the sides of a right triangle.
5.04 Trigonometric Angles and the Unit Circle
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In this video, students will learn special angles and the unit circle, and learn how to apply them.
5.05 Graphs of Sine and Cosine
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In this video, students will learn how to graph sine and cosine and how to interpret graphs of sine and cosine.
5.06 Graphs of Secant and Cosecant
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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.
5.07 Graphs of Tangent and Cotangent
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In this video, students will learn how to graph and how to interpret graphs of tangent and cotangent.
5.08 Inverse Trigonometric Functions and Graphs
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In this video, students will explore the relationship between trigonometric functions and their inverses.
Evaluating Solutions for Reasonableness
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Given problem situations, the student will determine if the solutions are reasonable.
Predicting, Finding, and Justifying Solutions to Problems
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Given application problems, the student will use appropriate tables, graphs, and algebraic equations to find and justify solutions to problems.
Introducing Conic Sections
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Given a verbal description or a pictorial representation, the student will describe a conic section as the intersection of a cone and a plane.