Beyond the gates of the Necralisk, the Infestation has taken control of a majority of the Landscape, the inhabitants being Infested units of the Grey Strain. Students then finish the activity with problem similar to the first problem.The Cambion Drift is an expansive, open Landscape connected to Necralisk, an Entrati settlement located on Deimos. The middle portion of the activity, students must match graphs, equations, and features of different ferris wheels. In the first problem, students are given dimensions and features of a ferris wheel and need to graph height of a car over time. In this activity, students must solve problems involving ferris wheels. Student were able to discover that the best function equation (in their opinion) was a negative cosine function.
#Desmos activity unit circle how to
They had to discover how to change the horizontal axis from radians to time and the effect that would have in the function equation.
Students had to ask questions and relate the features of the ferris wheel to the values on the graph and the parameters of the sinusoidal function equation. I used this short video to allow students to create the equation of the function of the height of a car on a ferris wheel to time.
Shifting from Content-based to Competencies-based Visit the Connections Process Page to explore more ways to incorporate Connections in your teaching.ĥ.4 Equations and Graphs of Trigonometric Functionsĥ.4 Formative Assessment Graphing Trig Functions This is an example of making Connections between mathematical concepts. This activity asks students to review a transformation on a function they are already familiar with and then apply the same type of transformation to a sinusoidal function. Investigation - Transformations Connections (Download: TransformationsConnections.docx) Explore in more detail the relationship between the parameters and the characteristics of the graph. Verify the predictions from step 1 by using Desmos and sliders for each parameter.ģ. Use Visualization to predict what characteristics will change when each of the parameters are adjusted.Ģ. Students will explore how the parameters a, b, c, and d affect sinusoidal functions.ġ. This investigation assumes that students understand the basic properties of y = sinx and y = cosx and the transformations related to y = a f + d. See who in your class can beat the high score.ĭesmos Sinusoidal Transformations Investigation (Download: SineTransformationsInv.docx) Extra point are given if you can collect the token. In this game, student must race the timer to write the equation of a sinusoidal function that matches the given graph. They also had to list the features of the graph including amplitude, period, and principal axis. In this activity, students worked in pairs to match the graph with the function equation and function table. Matching Sinusoidal Equations with Graphs and Properties Shifting from competative to collaborative learning. Shifting from Memoriation to Higher-level Thinking Transformations%20of%20Sine%20and%20Cosine%20Curves.wmv
Template for Building the sine function graph.ĥ.2 Transformations of Sinusoidal Functionsĥ.2 Formative Assessment Graphing Phase Shift and Displacementĭigital Resources to Enhance Learning and Differentiate Instruction Possible follow up questions include "What would the other half of the graph look like?" Connections could also be made to characteristics of a sine function graph such as amplitude and period. Students can trace the heights of the curve to build half a period of a sine curve. This is a nice idea to make connections between the unit circle and the graph of the sine function. Click on the bars in the upper left corner to view all pre-created interactive graphs.īuilding a Sine Curve and Making Connections to the Unit Circle. Shifting from Memorization to Higher-level Thinkingĭesmos pre-created interactive graphs for trig functions are available online. Shifting from Student as Knowledge Recipient to Student as Inquirer and Creator Pedagogical Shifts: TRANSFORM, Moving from Traditional to Student-Centered Unwrapping the Circle: 5.1 Deroulecercle.ggb The McGraw-Hill Ryerson PreCalculus 12 Text is used as the Main Resource.Īssignments in the Powerpoint Lesson Plans refer to pages and questions in the PreCalculus 12 text.ĥ.1 Formative Assessment Amplitude and Period
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