# Unit 8 + Activities: Radical Equations and Relationships - Texas Algebra 2

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- NEW! Additional digital activities for Google Slides™ have been added to the mega bundle.This curriculum bundle contains guided notes handouts, practice worksheets, reviews, mid-unit assessments, tests, concept organizers, and activities, all aligned to the Texas Algebra 2 state standards (TEKS).Mos$290.00$521.00Save $231.00

### Description

**NEW! 5 digital activities for Google Slides™ are now included in the bundle!**

This unit and activities bundle extends students' knowledge of function transformations to square root functions y = **√**(x), cubic functions y = x^3. and cube root functions y = ∛(x). Students will write equations of transformed functions and describe transformations including vertical stretch and compression, horizontal stretch and compression, vertical and horizontal translation, and reflection about the x-axis and y-axis.

This unit also introduces solving radical equations, including square root equations, cube root equations, and equations involving rational exponents. Students will identify extraneous solutions of square root functions.

Finally, students will build on their knowledge of inverse functions by finding and graphing the inverse of cubic, cube root, quadratic, and square root functions including domain restrictions when necessary.

*Did you purchase a license to this bundle prior to April 15, 2021? See the note in the bonus file (Activity Guide) for retired activity access.*

Most resources are in non-editable **PDF **format.

**Editable**versions of the**mid-unit assessment**and**test**are also included in .docx format for MS Word.**5 digital activities**compatible with Google Slides and Google Classroom™ are included. (Printable versions of the digital activities are included in PDF format.)**5 paper-based activities**in PDF format are included.

*UNIT 8 INCLUDES THE FOLLOWING LESSONS:*

Students will:

- formulate the equation of transformed square root, cubic, and cube root functions
- describe
**single**function transformations performed on y =**√**(x), y = x^3, and y = ∛(x)

Students will:

- formulate the equation of transformed square root, cubic, and cube root functions
- describe
**composite**function transformations performed on y =**√**(x), y = x^3, and y = ∛(x)

**Lesson 3: Solving Radical Equations**

Students will:

- solve square root and cube root equations
- check for extraneous solutions

**Lesson 4: Solving Equations with Rational Exponents**

Students will:

- solve equations involving rational exponents

**Lesson 5: Cubic-Cube Root Relationship**

Students will:

- find the inverse of cubic and cube root functions algebraically
- graph inverse functions
- verify functions using the composition of functions

**Lesson 6: Quadratic-Square Root Relationship**

Students will:

- find the inverse of quadratic and square root functions algebraically, including domain restrictions
- graph inverse functions
- verify functions using the composition of functions

**Lesson 7: Inverse Function Study**

Students will:

- write and graph inverses of cubic, cube root, quadratic, and square root functions
- verify functions using the composition of functions
- describe and analyze the relationship between a function and its inverse using multiple representations

*EACH LESSON CONTAINS THE FOLLOWING ELEMENTS:*

All resources are in **PDF **format. Check out the **preview **for a detailed look!

- The
**Lesson Notes**are designed for use as a note-taking guide combined with guided practice.

**Practice A**and**Practice B**are suitable for use as in-class practice and homework. Two comparable forms are included for increased versatility.

- The
**Exit Ticket**is designed for a quick concept check at the end of the class period.

- The
**Warm-Up**is designed for next-day use to reinforce the previous day’s learning.

*One-page display versions of the exit ticket and warm-up are included. Display the PDF page on a screen for student viewing and have students record their responses on notebook paper or scratch paper to save on printing.*

*ADDITIONAL RESOURCES EXCLUSIVELY AVAILABLE IN UNIT 8 INCLUDE:*

**3 Concept Organizers**offer a complementary alternative for note-taking or post-lesson concept reinforcement.

- The
**Mid-Unit Review (Forms A and B)**provides an opportunity for students to practice the concepts they learned in the first part of the unit.

- The
**Mid-Unit Assessment (Forms A and B)**may be used as a test, quiz, or daily assignment to meet the specific needs of your students.**Editable**versions of Forms A and B are included as a .docx file for MS Word.

- The
**Unit Review (Forms A and B)**helps students focus on the key concepts studied throughout the unit.

- The
**Unit Test****(Forms A, B, and C)**comes in two comparable multiple-choice forms (A and B) and one free-response form (C). The test key includes TEKS alignment for each question to facilitate easy data analysis.**Editable**versions of Forms A and B are included as a .docx file for MS Word.

*5 PAPER-BASED ACTIVITIES ARE INCLUDED IN THIS BUNDLE:*

**Function Transformations Book Project Guide****Cube Root Equations Riddle Activity****Square Root Equations Riddle Activity****Radical Equations Task Cards Activity****Inverse Functions Riddle Activity**

*5 DIGITAL ACTIVITIES FOR GOOGLE SLIDES*™* ARE INCLUDED IN THIS BUNDLE:*

*(Each digital activity also includes a printable version.)*

**Radical Function Transformations Activity for Google Slides™****Square Root Transformations Activity for Google Slides™****Solving Radical Equations Puzzle Activity for Google Slides™****Equations with Rational Exponents Puzzle Activity for Google Slides™****Inverses of Radical Functions Activity for Google Slides™**

*Please view the previews in the bundle section for more details.*

*STANDARDS:*

2A.2B, 2A.2C, 2A.2D, 2A.4C, 2A.4F, 2A.4G, 2A.6A, 2A.6B, 2A.7H from the Algebra 2 Texas Essential Knowledge and Skills (TEKS)

A note from Allison at Math Beach Solutions about standards alignment: This resource was designed from the ground up to provide ready-made resources for Texas teachers to implement to facilitate their students’ mastery of the Algebra 2 TEKS (Texas Essential Knowledge and Skills TAC §111.40). A considerable effort has been made to ensure the TEKS are addressed thoroughly, but these resources will reflect my understanding of the TEKS. As always, continue to use your professional judgment and experience when lesson planning.

Looking for a long-term homework solution? Check out **Algebra 2 Skill Spirals Review Workbook **for a year-long solution for homework, warm-ups, or tutorial session resources. It supports the Texas Algebra 2 TEKS, too!