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Standards

CCSSHSA-APR.D.6

CCSSHSA-APR.C.5

CCSSHSA-APR.C.4

CCSSHSA-APR.B.2

CCSSHSA-APR.A.1

11 Products in this Bundle

Bonus

Unit 2 Calendar + Resource Guide

- Bundle Description
- StandardsNEW

This unit and activities bundle 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.

Polynomial operations including adding, subtracting, and multiplying polynomials is also covered. Students will use these techniques to prove polynomial identities. Students will use Pascal's triangle and the Binomial Theorem to expand expressions of the form (a + b)^n.

Finally, students will divide polynomials of degree 3 and 4 by linear and quadratic polynomials using polynomial long division and synthetic division.

Most resources are **non-editable .pdf **format.

**Editable assessments are included **for easy customization to your students' needs!

*Editable versions of the mid-unit assessment and test are included in .docx format for MS Word.*

*UNIT 2 INCLUDES THE FOLLOWING LESSONS:*

Students will:

- add, subtract, and multiply polynomial expressions

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

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 Identities and the Binomial Theorem**

Students will:

- verify polynomial identities
- expand binomial expressions of the form (a+b)^n using the Binomial Theorem and Pascalโs triangle

**Lesson 5: Polynomial Long Division**

Students will:

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

Students will:

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

*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 dayโs 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 2 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.

*10 ACTIVITIES ARE ALSO INCLUDED IN THIS BUNDLE:*

**Polynomial Basics Fortune Teller Activity****Polynomial Operations Riddle Activity****Factoring Polynomials Fortune Teller Activity****Factoring Polynomials Puzzle Activity****Factoring Polynomials Task Cards Activity****Factoring Polynomials Snake Puzzle Activity****Pascal's Triangle Puzzle and Binomial Theorem Task Cards****Polynomial Identities and Pythagorean Triples Activity****Evaluating Polynomials Using Synthetic Division Scavenger Hunt Activity****Polynomial Division Riddle Activity**

*STANDARDS: *

A.SSE.2, A.APR.1, A.APR.2, A.APR.4, A.APR.5, A.APR.6 from the Common Core State Standards (CCSS)

*A note from Allison about standards alignment: This resource was designed to provide ready-to-implement resources for teachers to use to facilitate their studentsโ mastery of the Common Core State Standards. A considerable effort has been made to ensure the standards are addressed thoroughly, but these resources will reflect my understanding of the standards. As always, continue to use your professional judgment and experience when lesson planning. *

Log in to see state-specific standards (only available in the US).

CCSSHSA-APR.D.6

Rewrite simple rational expressions in different forms; write ๐ข(๐น)/๐ฃ(๐น) in the form ๐ฒ(๐น) + ๐ณ(๐น)/๐ฃ(๐น), where ๐ข(๐น), ๐ฃ(๐น), ๐ฒ(๐น), and ๐ณ(๐น) are polynomials with the degree of ๐ณ(๐น) less than the degree of ๐ฃ(๐น), using inspection, long division, or, for the more complicated examples, a computer algebra system.

CCSSHSA-APR.C.5

Know and apply the Binomial Theorem for the expansion of (๐น + ๐บ)โฟ in powers of ๐น and y for a positive integer ๐ฏ, where ๐น and ๐บ are any numbers, with coefficients determined for example by Pascalโs Triangle.

CCSSHSA-APR.C.4

Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (๐นยฒ + ๐บยฒ)ยฒ = (๐นยฒ โ ๐บยฒ)ยฒ + (2๐น๐บ)ยฒ can be used to generate Pythagorean triples.

CCSSHSA-APR.B.2

Know and apply the Remainder Theorem: For a polynomial ๐ฑ(๐น) and a number ๐ข, the remainder on division by ๐น โ ๐ข is ๐ฑ(๐ข), so ๐ฑ(๐ข) = 0 if and only if (๐น โ ๐ข) is a factor of ๐ฑ(๐น).

CCSSHSA-APR.A.1

Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

Total Pages

115 pages + keys

Answer Key

Included

Teaching Duration

N/A

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