HSA-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.

 
76 Lesson(s)
   

Polynomial Puzzles 3: Multiplying and Factoring Polynomials

Algebra I » Unit: Polynomial Expressions
Algebra I » Unit: Polynomial Expressions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

This lesson will help students to see that multiplying and factoring trinomials are inverse operations

 
Favorites (25)
 
Resources (12)
polynomials multiply factor image resized
   

Multiply and Divide Monomials-Jigsaw day 1 of 2

Algebra I » Unit: Polynomial Expressions
Algebra I » Unit: Polynomial Expressions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

A jigsaw activity helps students to learn about multiplying and dividing polynomials through cooperation and sharing.

 
Favorites (10)
 
Resources (14)
 
Reflections (1)
monomials jigsaw image from lesson
   

Adding and Subtracting Monomials

Algebra I » Unit: Polynomial Expressions
Algebra I » Unit: Polynomial Expressions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

This lesson uses a pre-assessment to determine student's understanding. The work is then differentiated based on student need.

 
Favorites (19)
 
Resources (17)
 
Reflections (1)
adding monomials image resized
   

Finding Roots of All Sorts

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

In this fast-paced lesson, students are introduced to as many ideas as they can handle, while also being given space to make their own sense of those ideas.

 
Favorites (4)
 
Resources (24)
 
Reflections (1)
u6 l5 sw can you factor it i p1
   

Proving Polynomial Identities

Algebra II » Unit: Polynomial Theorems and Graphs
Algebra II » Unit: Polynomial Theorems and Graphs
Colleen Werner
Ipswich, MA
Environment: Suburban
 
Big Idea:

There are links between polynomials and geometry. Both branches of math use proof and a polynomial identity can be used to generate Pythagorean triples.

 
Favorites (5)
 
Resources (18)
 
Reflections (1)
pythagorean triplesresized
   

Operations with Polynomials Day 1 of 2

Algebra II » Unit: Polynomials
Algebra II » Unit: Polynomials
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Students get the opportunity to explore and make conclusions about operations with polynomials using graphing technology.

 
Favorites (6)
 
Resources (20)
 
Reflections (1)
image operations with polynomial functions
   

Review of Polynomial Roots and Complex Numbers

Algebra II » Unit: Polynomial Theorems and Graphs
Algebra II » Unit: Polynomial Theorems and Graphs
Colleen Werner
Ipswich, MA
Environment: Suburban
 
Big Idea:

Arithmetic with polynomials and complex numbers are performed in similar ways, but powers of i have a meaning distinct from powers of variables.

 
Favorites (2)
 
Resources (10)
waterfall trivia
   

Review Workshop: Polynomial Functions and Expressions

Algebra II » Unit: Polynomial Functions and Expressions
Algebra II » Unit: Polynomial Functions and Expressions
Colleen Werner
Ipswich, MA
Environment: Suburban
 
Big Idea:

Tomorrow is the unit test on polynomial functions and expressions. In this lesson, we do more practice with word problems, solving equations, graphing parabolas, and rewriting quadratic functions.

 
Favorites (5)
 
Resources (13)
 
Reflections (1)
unit checklist
   

The Remainder Theorem

Algebra II » Unit: Polynomial Theorems and Graphs
Algebra II » Unit: Polynomial Theorems and Graphs
Colleen Werner
Ipswich, MA
Environment: Suburban
 
Big Idea:

Any polynomial p(x) can be written as a product of (x – a) and some quotient q(x), plus the remainder p(a).

 
Favorites (3)
 
Resources (13)
 
Reflections (1)
remainder theorem exit
   

Polynomials & Place Value

Algebra II » Unit: Higher-Degree Polynomials
Algebra II » Unit: Higher-Degree Polynomials
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

Why do mathematicians confuse Halloween and Christmas? A good joke leads to some deep thinking.

 
Favorites (5)
 
Resources (10)
50175 place value lg
   

Quiz and Intro to Graphs of Polynomials

Algebra II » Unit: Polynomial Theorems and Graphs
Algebra II » Unit: Polynomial Theorems and Graphs
Colleen Werner
Ipswich, MA
Environment: Suburban
 
Big Idea:

The graph of a polynomial can look a variety of ways depending on the degree, lead coefficient, and linear factors.

 
Favorites (3)
 
Resources (12)
 
Reflections (1)
quartic
   

Review or Move On (to the Quadratic Formula)

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

After two quick review tasks, today's lesson is all about giving kids time and space to complete the work of their choice.

 
Favorites (2)
 
Resources (21)
 
Reflections (1)
u6 l19 quadratic formula
   

Parabola Problem Partner Critiques

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

A silent board game helps students recall how to complete the square then students critique the work of others in the AB partner activity.

 
Resources (18)
parabola image revised
   

Combining Like Terms

Algebra I » Unit: Linear Equations
Algebra I » Unit: Linear Equations
Noelani Davis
Washington, DC
Environment: Urban
 
Big Idea:

Students will identify the parts of an expression using math terminology. Students will understand the concept of like terms with the use parallel examples.

 
Favorites (174)
 
Resources (16)
 
Reflections (1)
cltpic
   

Polynomial Puzzles 1: Adding and Subtracting Polynomials

Algebra I » Unit: Polynomial Expressions
Algebra I » Unit: Polynomial Expressions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

This lesson uses an interesting mathematical organizer to help students fluently add and subtract polynomial expressions.

 
Favorites (28)
 
Resources (14)
 
Reflections (1)
polynomials add subtract image
Common Core Math
 
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