Polynomial Operations - Unit 4 Bundle - Texas Algebra 2 Curriculum

Get a complete, ready-to-print unit covering topics from the Algebra 2 TEKS including factoring polynomials, polynomial long division, synthetic division, the remainder theorem, the factor theorem, and the rational root theorem.

UNIT OVERVIEW:

This unit builds on students' knowledge of factoring quadratic expressions by introducing factoring polynomials of degree 3 and 4 using the following methods: grouping, sum and difference of cubes, quadratic form, and difference of squares. Adding, subtracting, and multiplying polynomials is also covered.

Students divide polynomials of degree 3 and 4 by linear and quadratic polynomials using polynomial long division and synthetic division. Students will also use the relationship between roots, zeros, x-intercepts and factors to identify linear factors of polynomials.

Finally, students will use the rational root theorem to identify rational roots and linear factors of polynomials, including those that are not factorable.

These no-prep resources include 7 lessons with guided notes, an exit ticket, a next-day warm-up, and 2 extra practice assignments per lesson.  The unit also includes mid-unit and end-of-unit reviews, mid-unit and end-of-unit editable assessments, and concept organizers. 

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TEACHERS LOVE the worked-out keys included with the lessons notes. Feel confident delivering instruction on these sometimes tricky topics! It is a major time-saver if you don’t have quite enough time to create your own guided notes key for the day.

STUDENTS LOVE the reduced note-taking burden with the guided notes handouts. Fill-in-the-blank vocabulary improves the accuracy of students’ notes and frees up more time for showing mathematical steps. 

TEACHERS LOVE the multiple versions of each practice worksheet, review, and assessment and they take full advantage of the EDITABLE versions of the mid-unit assessment form and unit test.

STUDENTS LOVE the complementary concept organizers that help them organize concepts and procedures.  

TEACHERS LOVE the pre-made exit tickets and next-day warm-ups that support skills from every lesson in the unit. Print 4-per-page or project on the board and record answers on scratch paper.

STUDENTS LOVE the variety of fun and engaging activities!  

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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.)
• 4 paper-based activities in PDF format are included.
• 1 classroom-based activity in PowerPoint (.pptx) format is included.

UNIT 4 INCLUDES THE FOLLOWING LESSONS:

Lesson 1: Polynomial Basics

Students will:

• add, subtract, and multiply polynomial expressions

Lesson 2: Factoring I

Students will:

• factor polynomial expressions (up to degree 4)
• identify greatest common factors
• factor using the difference of squares factoring pattern
• factor using quadratic form trinomials factoring pattern

Lesson 3: Factoring II

Students will:

• factor polynomial expressions (up to degree 4)
• factor using the sum and difference of cubes factoring pattern
• factor by grouping

Lesson 4: Polynomial Long Division

Students will:

• divide cubic and quartic polynomials by linear and quadratic polynomials using polynomial long division

Lesson 5: Synthetic Division

Students will:

• divide cubic and quartic polynomials by polynomials of the form x-a using synthetic division

Lesson 6: Roots and Factors

Students will:

• determine linear factors of cubic and quartic polynomials from information such as roots, zeros, x-intercepts, and graphs

Lesson 7: Rational Root Theorem

Students will:

• determine linear factors of cubic and quartic polynomials using synthetic division and the rational root theorem
• verify factors of polynomials

EACH LESSON CONTAINS THE FOLLOWING ELEMENTS:

• 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 4 INCLUDE:

• 2 Concept Organizers offer complimentary alternatives 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.

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5 PAPER-BASED or CLASSROOM-BASED ACTIVITIES ARE INCLUDED IN THIS BUNDLE:

• Polynomial Operations Riddle Activity
• Polynomial Division Riddle Activity
• Linear Factors of Polynomials Tic-Tac-Toe Activity
• Rational Root Theorem Task Cards Activity
• Polynomials Game Show Activity

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

(Each digital activity also includes a printable version.)

• Polynomial Operations Unscramble Activity for Google Slides™
• Factoring Polynomials Activity for Google Slides™
• Factoring Polynomials Puzzle Activity for Google Slides™
• Sum and Difference of Cubes Factoring Activity for Google Slides™
• Linear Factors Drag and Drop Activity for Google Slides™

Please view the previews in the bundle section for more detail.

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This unit and activity bundle is perfect for providing a complete TEKS-aligned unit or for supplementing existing resources. Use every resource or pick-and-choose from the many options to meet the needs of your students!

TEACHERS LIKE YOU SAID…

⭐️⭐️⭐️⭐️⭐️ “[...] It is very helpful that the curriculum has Practice A and B and different versions of the tests and quizzes. [...]”

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Supports Algebra 2 Texas Essential Knowledge and Skills (TEKS)

Standards: 2A.7B, 2A.7C, 2A.7D, 2A.7E

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.

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⭐️ Bundle & save for a discount ⭐️

Purchase the Texas Algebra 2 Curriculum to get all 12 units and activities. The curriculum lasts the entire year. It also includes an editable mid-term and editable final exam!

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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!

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Having difficulty with a file?

Visit the FAQs section, submit a help ticket, or email allison@mathbeach.com before leaving feedback. 

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Permission to copy for single classroom use only. 

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