Module 2 builds on students' previous work with units and with functions …
Module 2 builds on students' previous work with units and with functions from Algebra I, and with trigonometric ratios and circles from high school Geometry. The heart of the module is the study of precise definitions of sine and cosine (as well as tangent and the co-functions) using transformational geometry from high school Geometry. This precision leads to a discussion of a mathematically natural unit of rotational measure, a radian, and students begin to build fluency with the values of the trigonometric functions in terms of radians. Students graph sinusoidal and other trigonometric functions, and use the graphs to help in modeling and discovering properties of trigonometric functions. The study of the properties culminates in the proof of the Pythagorean identity and other trigonometric identities.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
This is an introduction to finding the arc length and area of …
This is an introduction to finding the arc length and area of sectors of circles. Students should have the formulas for Circumference and Area of circles.
In this activity, students will investigate the construction of circles that pass …
In this activity, students will investigate the construction of circles that pass through a given number of points. They will also investigate the number of points needed to generate a unique circle in a plane.
The purpose of this task is to strengthen students' understanding of area. …
The purpose of this task is to strengthen students' understanding of area. It could be assigned in class to individuals or small groups or given as a homework exercise to generate interesting discussions the following day. The relatively high levels of complexity and technical demand enhance its instructional value.
Sal determines if shapes are divided into 2 or 4 equal sections. …
Sal determines if shapes are divided into 2 or 4 equal sections.
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This discussion examines how to complete the square in circle equations. Students …
This discussion examines how to complete the square in circle equations. Students learn about the math concept through definitions and examples with detailed solutions.
This concept teaches students to find the length of an arc. Students …
This concept teaches students to find the length of an arc. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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In this lesson students find the length of an arc. Students examine …
In this lesson students find the length of an arc. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
A free CK-12 account is required to view all materials.
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