Flipped Math
Amplitude and Midline
Roll through two graphs. Learners see how the points from the unit circle allow easy construction of the graphs for sine and cosine using an instructional video. They discover how to find the amplitude and midline both from the graphs...
Flipped Math
Modeling with Trig Functions
Find out what to do with Ferris wheels that keep going up and down. Individuals learn how to determine the frequency of a trigonometric function. Pupils use their knowledge of trigonometric functions to model periodic motions like Ferris...
Flipped Math
Period
Stretch out the curve to expand mathematical knowledge. Pupils learn the definition of period and find out how to determine it both from the graph and the equation of the function. Learners use the new skill in graphing periodic...
Flipped Math
Intro to Trigonometry
Expand trigonometric ratios beyond right triangles. Pupils start with a review of trigonometric ratios and then take a look at angles in standard position to determine their measurements. Scholars discover how to find coterminal angles...
Khan Academy
Khan Academy: Trigonometry: More Trig Graphs
Video about translating between the graph and equation of trigonometric functions. Examples consist of writing the equation a sine function from its graph and graphing a cosine function from its equation. [5:13]
Khan Academy
Khan Academy: Trigonometry: Graphs of Trig Functions
Video exploring the graphs of the basic trigonometric functions. Effects of changes in the equation of the sine function to the period and the amplitude of the graph are shown. Includes link to additional practice problems. [10:17]
Khan Academy
Khan Academy: Trigonometry: Determing the Equation of a Trigonometric Function
Video about finding the equation of a trigonometric function from its graph. Two examples are sine functions and one example is a cosine function [9:52]
Khan Academy
Khan Academy: Trigonometry: Inverse Trig Functions: Arccos
Video introduces the arccosine function, including an example of finding the arccosine using knowledge of the unit circle. Includes link to additional practice problems. [13:38]
Khan Academy
Khan Academy: Trigonometry: Inverse Trig Functions: Arcsin
Video introduces the arcsine function. Includes examples of finding the arcsine using knowledge of the unit circle. Includes link to additional practice problems. [10:36]
Khan Academy
Khan Academy: Trigonometry: Graph of the Sine Function
Video showing how to derive the graph of the sine function from the unit circle. Includes link to additional practice problems. [7:44]
Khan Academy
Khan Academy: Trigonometry: Graphing Trig Functions
Video showing how to graph the sine and cosine functions from their equations with modifications to the amplitude and period. Also gives an example of determining the trigonometric function using the features of the graph. Includes link...
Khan Academy
Khan Academy: Graphs of Trig Functions: Graphing Trig Functions
Analyzing the amplitude and periods of the sine and cosine functions.
Khan Academy
Khan Academy: Graphs of Trig Functions:graph, Domain, and Range of Sine Function
A video graphing a sin curve to think about its domain and range.
Khan Academy
Khan Academy: Intro to Hyperbolic Trigonometric Functions
Exploring a motivation for even defining hyperbolic sine and cosine
Sophia Learning
Sophia: Real World Examples of Inverse Trigonometry Functions
Use real-world applications to explore inverse trigonometric functions and then assess learning with a quiz. [5:57]
Khan Academy
Khan Academy: Amplitude and Period Cosine Transformations
Visualizing changes in amplitude and period for a cosine function
Khan Academy
Khan Academy: Graphs of Trig Functions: Example: Intersection of Sine and Cosine
A video showing where the graphs of sin and cos intersect. [11:07]
Khan Academy
Khan Academy: Amplitude & Period of Sinusoidal Functions From Equation
This video shows how to determine the amplitude and period of a trigonometric function. [8:20]
Khan Academy
Khan Academy: Graphs of Trig Functions: Example: Graph of Cosine
Basic interpretation of the graph of the cosine function
Khan Academy
Khan Academy: Graphs of Trig Functions: Amplitude and Period Transformations
Understanding how the amplitude and period changes as coefficients change.
Khan Academy
Khan Academy: Determining the Equation of a Trigonometric Function
Video about finding the equation of a trigonometric function from its graph.
Khan Academy
Khan Academy: Trig Challenge Problem: Verify Identities
Sal is given a diagram with multiple right triangles and is asked to verify identities relating to trig ratios in those triangles.
Khan Academy
Khan Academy: Trig Challenge Problem: Trig Values & Side Ratios
Sal is given a diagram with multiple right triangles and is asked to match different expressions with different trig values.
Khan Academy
Khan Academy: Trigonometric Ratios in Right Triangles
Sal shows a few examples where he starts with the two legs of a right triangle and he finds the trig ratios of one of the acute angles.