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Product and Quotient Properties of Exponents
This lesson helps students understand two foundational exponential properties: The Product and Quotient Properties of Exponents. Students will collaborate to formulate a rule for these properties. Ultimately, students should conclude that when the same bases are being multiplied, exponents will be added; and when the same bases are being divided, exponents will be subtracted. As the lesson progresses, students will apply these rules to simplify expressions of various difficulties.
Using Linear Equations to Count Pecans
Students will write linear equations in point-slope form given two points via a verbal description.
Kid2Kid: Determining the Meaning of Slope and Intercepts
Kid2Kid videos on determining the meaning of slope and intercepts in English and Spanish
Drawing Conclusions about Three-Dimensional Figures from Nets
Given a net for a three-dimensional figure, the student will make conjectures and draw conclusions about the three-dimensional figure formed by the given net.
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.
No Interest If Paid in Full: How Much Do I Owe?
Students will write a linear equation from a real-world situation, identify the components of the equation, and interpret their meanings in the problem’s context.
5.01 Radians and Degree Measurements
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
In this video, students will learn about angular and linear velocity and how each relates to unit conversions.
5.03 Trigonometric Ratios
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
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
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
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
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
In this video, students will explore the relationship between trigonometric functions and their inverses.
6.01 Trigonometric Identities
In this video students will learn trigonometric identities, where they are derived from, and apply them in problems.
6.02 Solving Trigonometric Equations
In this video, students will learn to solve trigonometric equations for cases of a set interval and of all solutions.
6.03 Sum and Difference Formulas of Trigonometric Functions
In this video, students will apply the sum and difference formulas of trigonometry.
6.04 Double Angle and Half Angle Formulas of Trigonometric Functions
In this video, students will learn double and half angle formulas, and how they are derived, and will apply them to various problems.
6.05 Law of Sines and Cosines
In this video, students will expand their knowledge to oblique triangles and apply the laws of sines and cosines, followed by area equations for oblique triangles.
6.06 Trigonometric Word Problems
In this video, students will use their knowledge of trigonometry and apply that knowledge to word problems.