Description
* Download the preview for details! *
This 2-day lesson includes 6 pages of guided notes, a 2-page assignment, a 3-page assignment, and a Function Transformations Graphic Organizer
* The main goal for this lesson is to get students to understand that something such as “f(x+3)” is not just some notation we came up with, but that it actually creates a graph that "shifts f(x) left 3 units" and so on. They do not need to have any prior knowledge of polynomial, cubic, or radical functions.
Students learn about function transformations in the order below. They will:
- Discover the transformations f(x) + 2, f(x + 3), -f(x), and f(-x) by making tables
- Translate verbal transformations into f(x) notation
- Learn the difference between vertical and horizontal stretching and compressing
- On day two, describe transformations verbally based off of absolute value functions, and write the actual function and the function in terms of f(x)
- Given a piecewise shape (no piecewise experience required), graph intuitively f(x – 2) – 5, 2f(x), 1/2f(x), -f(x), and f(-x)
* Graphing Absolute Value Functions helps lead into this lesson.
Answer key is included!
This 2-day lesson includes 6 pages of guided notes, a 2-page assignment, a 3-page assignment, and a Function Transformations Graphic Organizer
* The main goal for this lesson is to get students to understand that something such as “f(x+3)” is not just some notation we came up with, but that it actually creates a graph that "shifts f(x) left 3 units" and so on. They do not need to have any prior knowledge of polynomial, cubic, or radical functions.
Students learn about function transformations in the order below. They will:
- Discover the transformations f(x) + 2, f(x + 3), -f(x), and f(-x) by making tables
- Translate verbal transformations into f(x) notation
- Learn the difference between vertical and horizontal stretching and compressing
- On day two, describe transformations verbally based off of absolute value functions, and write the actual function and the function in terms of f(x)
- Given a piecewise shape (no piecewise experience required), graph intuitively f(x – 2) – 5, 2f(x), 1/2f(x), -f(x), and f(-x)
* Graphing Absolute Value Functions helps lead into this lesson.
Answer key is included!
Report this resource to TPT
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Highlights
Grades
7th - 12th
Standards
CCSSHSF-BF.B.3
Pages
12
Answer Key
Included
Teaching Duration
2 days
Description
* Download the preview for details! *
This 2-day lesson includes 6 pages of guided notes, a 2-page assignment, a 3-page assignment, and a Function Transformations Graphic Organizer
* The main goal for this lesson is to get students to understand that something such as “f(x+3)” is not just some notation we came up with, but that it actually creates a graph that "shifts f(x) left 3 units" and so on. They do not need to have any prior knowledge of polynomial, cubic, or radical functions.
Students learn about function transformations in the order below. They will:
- Discover the transformations f(x) + 2, f(x + 3), -f(x), and f(-x) by making tables
- Translate verbal transformations into f(x) notation
- Learn the difference between vertical and horizontal stretching and compressing
- On day two, describe transformations verbally based off of absolute value functions, and write the actual function and the function in terms of f(x)
- Given a piecewise shape (no piecewise experience required), graph intuitively f(x – 2) – 5, 2f(x), 1/2f(x), -f(x), and f(-x)
* Graphing Absolute Value Functions helps lead into this lesson.
Answer key is included!
This 2-day lesson includes 6 pages of guided notes, a 2-page assignment, a 3-page assignment, and a Function Transformations Graphic Organizer
* The main goal for this lesson is to get students to understand that something such as “f(x+3)” is not just some notation we came up with, but that it actually creates a graph that "shifts f(x) left 3 units" and so on. They do not need to have any prior knowledge of polynomial, cubic, or radical functions.
Students learn about function transformations in the order below. They will:
- Discover the transformations f(x) + 2, f(x + 3), -f(x), and f(-x) by making tables
- Translate verbal transformations into f(x) notation
- Learn the difference between vertical and horizontal stretching and compressing
- On day two, describe transformations verbally based off of absolute value functions, and write the actual function and the function in terms of f(x)
- Given a piecewise shape (no piecewise experience required), graph intuitively f(x – 2) – 5, 2f(x), 1/2f(x), -f(x), and f(-x)
* Graphing Absolute Value Functions helps lead into this lesson.
Answer key is included!
Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.
Reviews
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This resource was easy to use and aligned with our classroom needs. Thank you!
I used these as guided notes and homework with an Algebra 2 class excellent examples, good graphs and good practice. Thank you
Love the organization
Excellent practice for piecewise functions.
thx
Questions & Answers
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Standards
to see state-specific standards (only available in the US).
CCSSHSF-BF.B.3
Identify the effect on the graph of replacing 𝘧(𝘹) by 𝘧(𝘹) + 𝘬, 𝘬 𝘧(𝘹), 𝘧(𝘬𝘹), and 𝘧(𝘹 + 𝘬) for specific values of 𝘬 (both positive and negative); find the value of 𝘬 given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.
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