
Alg2 Lesson 4T.8: The Tangent Function
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Monica Ramirez
Used 1+ times
FREE Resource
22 Slides • 5 Questions
1
Lesson 4T.8: The Tangent
Function
Obj: I can construct a representation of a
tangent function. I can identify key
characteristics of secant, cosecant, and
cotangent functions.
EQ: How are slope and tangent related?
2
Roles:
Facilitator
Scribe
Resourcer
Includer
Lesson Goals:
● Creative Thinking
● Talk through controversies and conflict
● Recognize and reduce ambiguity
● Encourage thinking based on formulas and prior info
● Help explain ideas to each other
● Own your ideas and work
● Record ideas in your journal
● Answer Questions on Slides
● Follow your team roles
3
Facilitator
• Make sure that all peers are staying on task.
• Give advice or suggestions to resolve the problem.
• Be sure everyone is able to explain.
4
Scribe
• Make sure peers organize their results on their own papers.
• Remind peers to use color, arrows, and other math tools to
communicate your mathematics, reasons, and connections.
• Be ready to join the teacher for a huddle.
5
Resourcer
• Make sure peers are getting the materials needed.
• Make sure that all materials are put away neatly.
• Make sure that peers are logged in to the needed site.
• Help troubleshoot any technology difficulties that may arise.
6
Includer
• Make sure that all peers are talking about their work.
• Helps keep peers’ voice volume low.
• Encourages everyone to ask questions.
• Communicates conflicts or questions to the teacher.
7
● Check off tasks & skills on calendar.
● Select skills to work on.
● Work on Deltamath.
Remember to work on the following too…
8
Part 1: Defining the Tangent
Function
9
Slope Review
What is the slope of the line that passes through the points…
●
(0, 0) and (2, 1)
●
(0, 0) and (-2, 5)
●
(0, 0) and (3, -7)
●
(0, 0) and (x, y)
10
Dropdown
(0, 0) and (2, 1)
(0, 0) and (-2, 5)
(0, 0) and (3, -7)
(0, 0) and (x, y)
11
12
The following figure shows an overhead view of island, with the lighthouse
centered at the origin, the bridge along the positive x-axis, and the beacon’s
ray of light after it rotates an angle that measures 0.9 radians.
13
14
15
Multiple Choice
How can we express the slope of a line through the origin using trigonometry?
The slope of a line through the origin can be expressed as cos(θ) = sin(θ) / cot(θ).
16
Multiple Choice
The slope of a line through the origin is a function of the angle measure.
17
Multiple Select
What did you observe about terminal rays (lines through the origin) that have positive slopes or negative slopes?
Terminal rays in QI and QIII have positive slopes.
Terminal rays in QI and QIII have negative slopes.
Terminal rays in QII and QIV have positive slopes.
Terminal rays in QII and QIV have negative slopes.
18
Multiple Select
What did you observe about terminal rays (lines through the origin) that have zero slopes or undefined slopes?
Terminal rays that coincide with the x-axis have slopes of zero.
Terminal rays that coincide with the y-axis have undefined slopes.
Terminal rays that coincide with the x-axis have undefined slopes.
Terminal rays that coincide with the y-axis have slopes of zero.
19
Part 2: Describing
Characteristics of the
Tangent Function
20
21
Characteristics of Tangent Functions
22
Observations about this task 1
23
Observations about this task 2
24
Observations about this task 3
25
Observations about this task 4
26
Random Question of the Day Time
https://wheelofnames.com/4ke-epz We’ll spin the
wheel as a class and spend a minute or so
discussing our answers.
27
Lesson 4T.8: The Tangent
Function
Obj: I can construct a representation of a
tangent function. I can identify key
characteristics of secant, cosecant, and
cotangent functions.
EQ: How are slope and tangent related?
Show answer
Auto Play
Slide 1 / 27
SLIDE
Similar Resources on Wayground
20 questions
The Multiplication Rule of Probability
Presentation
•
9th - 12th Grade
19 questions
Quadratic Formula
Presentation
•
9th - 12th Grade
19 questions
Standard Form of a Quadratic Function
Presentation
•
9th - 12th Grade
19 questions
Best Method for Solving Quadratics
Presentation
•
9th - 12th Grade
20 questions
Solve Quadratics by Graphing
Presentation
•
9th - 12th Grade
20 questions
Module 10: Lesson 1: Polynomials
Presentation
•
9th - 12th Grade
21 questions
Addition and Subtraction
Presentation
•
KG
21 questions
Special Right Triangles
Presentation
•
9th - 12th Grade
Popular Resources on Wayground
24 questions
PBIS-HGMS Day 10
Quiz
•
6th - 8th Grade
10 questions
HCS SCI 03 Summer School Review 3
Quiz
•
3rd Grade
11 questions
Home Scope
Quiz
•
7th - 8th Grade
15 questions
HCS SCI 05 Summer School Assessment 3 Review
Quiz
•
5th Grade
35 questions
Lufkin Road Middle School Student Handbook & Policies Assessment
Quiz
•
7th Grade
18 questions
Geo 11.3 Area of Circles and Sectors
Quiz
•
9th - 11th Grade