Standard 1 : Perform arithmetic operations on polynomials. (Algebra 1 - Major Cluster) (Archived)



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Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

General Information

Number: MAFS.912.A-APR.1
Title: Perform arithmetic operations on polynomials. (Algebra 1 - Major Cluster)
Type: Cluster
Subject: Mathematics - Archived
Grade: 912
Domain-Subdomain: Algebra: Arithmetic with Polynomials & Rational Expressions

Related Standards

This cluster includes the following benchmarks
Code Description
MAFS.912.A-APR.1.1: 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.


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
MAFS.912.A-APR.1.AP.1a: Understand the definition of a polynomial.
MAFS.912.A-APR.1.AP.1b: Understand the concepts of combining like terms and closure.
MAFS.912.A-APR.1.AP.1c: Add, subtract, and multiply polynomials and understand how closure applies under these operations.


Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Original Student Tutorials

Name Description
Introduction to Polynomials, Part 2 - Adding and Subtracting:

Learn how to add and subtract polynomials in this online tutorial. You will learn how to combine like terms and then use the distribute property to subtract polynomials.

This is part 2 of a two-part lesson. Click below to open part 1.

Introduction to Polynomials: Part 1:

Learn how to identify monomials and polynomials and determine their degree in this interactive tutorial.

This is part 1 in a two-part series. Click here to open Part 2.

Formative Assessments

Name Description
Subtracting Polynomials:

Students are asked to find the difference of two polynomials and explain if the difference of polynomials will always result in a polynomial.

Multiplying Polynomials - 2:

Students are asked to multiply polynomials and explain if the product of two polynomials always results in a polynomial.

Multiplying Polynomials - 1:

Students are asked to multiply polynomials and explain if the product of polynomials always results in a polynomial.

Adding Polynomials:

Students are asked to find the sum of two polynomials and explain if the sum of polynomials always results in a polynomial.

Lesson Plans

Name Description
Manipulating Polynomials: This lesson unit is intended to help you assess how well students are able to manipulate and calculate with polynomials. In particular, it aims to identify and help students who have difficulties in switching between visual and algebraic representations of polynomial expressions, performing arithmetic operations on algebraic representations of polynomials, factorizing and expanding appropriately when it helps to make the operations easier.
Laying Tiles for Polynomial Addition and Subtraction Renovation:

In this lesson students will learn how to add and subtract polynomials.

Wonka's Golden Ticket! (Polynomial Operations):

This lesson is an introduction to Polynomials. It includes some activities that will help the teacher to assess student's understanding of several concepts (integer addition and subtraction, combining like terms), which are essential to polynomial operations. Through engaging activities involving candy and chocolates, students will learn to add, subtract, and multiply polynomials!

Student Center Activity

Name Description
Method to Multiplying Polynomials:

This video will demonstrate how to multiply polynomials.

Tutorials

Name Description
Addition and Subtraction of Polynomials:

This video tutorial shows students: the standard form of a polynomial, how to identify polynomials, how to determine the degree of a polynomial, how to add and subtract polynomials, and how to represent the area of a shape as an addition or subtraction of polynomials.

Subtracting Polynomials with Multiple Variables:

This video explains how to subtract polynomials with multiple variables and reinforces how to distribute a negative number.

Squaring a Binomial:

This video covers squaring a binomial with two variables. Students will be given the area of a square.

Special Products of Binomials:

The video tutorial discusses about two typical polynomial multiplications. First, squaring a binomial and second, product of a sum and difference.

Multiplying Bionomials:

Binomials are the polynomials with two terms. This tutorial will help the students learn about the multiplication of binomials. In multiplication, we need to make sure that each term in the first set of parenthesis multiplies each term in the second set.

Multiplying Polynomials:

This resource is a step-by-step tutorial on how to multiply polynomials.

Unit/Lesson Sequence

Name Description
Sample Algebra 1 Curriculum Plan Using CMAP:

This sample Algebra 1 CMAP is a fully customizable resource and curriculum-planning tool that provides a framework for the Algebra 1 Course. The units and standards are customizable and the CMAP allows instructors to add lessons, worksheets, and other resources as needed. This CMAP also includes rows that automatically filter and display Math Formative Assessments System tasks, E-Learning Original Student Tutorials and Perspectives Videos that are aligned to the standards, available on CPALMS.

Learn more about the sample Algebra 1 CMAP, its features and customizability by watching the following video:

Using this CMAP

To view an introduction on the CMAP tool, please .

To view the CMAP, click on the "Open Resource Page" button above; be sure you are logged in to your iCPALMS account.

To use this CMAP, click on the "Clone" button once the CMAP opens in the "Open Resource Page." Once the CMAP is cloned, you will be able to see it as a class inside your iCPALMS My Planner (CMAPs) app.

To access your My Planner App and the cloned CMAP, click on the iCPALMS tab in the top menu.

All CMAP tutorials can be found within the iCPALMS Planner App or at the following URL: http://www.cpalms.org/support/tutorials_and_informational_videos.aspx

Virtual Manipulative

Name Description
Adding and Subtracting Polynomials:

This resource will assess students' understanding of addition and subtraction of polynomials.



Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Original Student Tutorials

Title Description
Introduction to Polynomials, Part 2 - Adding and Subtracting:

Learn how to add and subtract polynomials in this online tutorial. You will learn how to combine like terms and then use the distribute property to subtract polynomials.

This is part 2 of a two-part lesson. Click below to open part 1.

Introduction to Polynomials: Part 1:

Learn how to identify monomials and polynomials and determine their degree in this interactive tutorial.

This is part 1 in a two-part series. Click here to open Part 2.

Student Center Activity

Title Description
Method to Multiplying Polynomials:

This video will demonstrate how to multiply polynomials.

Tutorials

Title Description
Addition and Subtraction of Polynomials:

This video tutorial shows students: the standard form of a polynomial, how to identify polynomials, how to determine the degree of a polynomial, how to add and subtract polynomials, and how to represent the area of a shape as an addition or subtraction of polynomials.

Subtracting Polynomials with Multiple Variables:

This video explains how to subtract polynomials with multiple variables and reinforces how to distribute a negative number.

Squaring a Binomial:

This video covers squaring a binomial with two variables. Students will be given the area of a square.

Special Products of Binomials:

The video tutorial discusses about two typical polynomial multiplications. First, squaring a binomial and second, product of a sum and difference.

Multiplying Bionomials:

Binomials are the polynomials with two terms. This tutorial will help the students learn about the multiplication of binomials. In multiplication, we need to make sure that each term in the first set of parenthesis multiplies each term in the second set.

Virtual Manipulative

Title Description
Adding and Subtracting Polynomials:

This resource will assess students' understanding of addition and subtraction of polynomials.



Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.

Tutorials

Title Description
Addition and Subtraction of Polynomials:

This video tutorial shows students: the standard form of a polynomial, how to identify polynomials, how to determine the degree of a polynomial, how to add and subtract polynomials, and how to represent the area of a shape as an addition or subtraction of polynomials.

Special Products of Binomials:

The video tutorial discusses about two typical polynomial multiplications. First, squaring a binomial and second, product of a sum and difference.

Multiplying Bionomials:

Binomials are the polynomials with two terms. This tutorial will help the students learn about the multiplication of binomials. In multiplication, we need to make sure that each term in the first set of parenthesis multiplies each term in the second set.

Multiplying Polynomials:

This resource is a step-by-step tutorial on how to multiply polynomials.

Virtual Manipulative

Title Description
Adding and Subtracting Polynomials:

This resource will assess students' understanding of addition and subtraction of polynomials.