HSA-APR.B.3

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

 
83 Lesson(s)
   

Quadratic Functions: Standard and Intercept Forms

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

Quadratic functions are graphed as parabolas; how we go about creating the graph depends on which form the function is written in.

 
Favorites (9)
 
Resources (21)
 
Reflections (1)
desmos standard
   

Three Methods of Solving Quadratics and Word Problems

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

The structure of a quadratic equation can help students determine how to solve the equation.

 
Favorites (4)
 
Resources (15)
 
Reflections (1)
three methods of solving resized image
   

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
   

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
   

Uses of Polynomial Division- The Factor and Remainder Theorems

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

Show students why polynomial division is useful in the lesson.

 
Favorites (4)
 
Resources (28)
 
Reflections (1)
image uses of polynomial division
   

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
   

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
   

Surface Area and Volume Functions

12th Grade Math » Unit: Cubic Functions
12th Grade Math » Unit: Cubic Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

How do the surface area and volume of a prism change as the prism grows? Students build prisms and use these prisms to generate quadratic and cubic functions.

 
Favorites (2)
 
Resources (12)
the painted cube
   

The Lumber Model Problem

Algebra II » Unit: Cubic Functions
Algebra II » Unit: Cubic Functions
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

In many cases, polynomial functions are ideal mathematical models that support quantitative and abstract reasoning.

 
Favorites (3)
 
Resources (12)
 
Reflections (1)
800px logging in finnish lapland
   

Catch the Mistake

12th Grade Math » Unit: Midterm Review and Exam
12th Grade Math » Unit: Midterm Review and Exam
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Mathematical Practice 3 takes center stage as students critique the reasoning of others for problematic questions.

 
Resources (9)
untitled
   

Roots and Graphs of Cubic Functions

12th Grade Math » Unit: Cubic Functions
12th Grade Math » Unit: Cubic Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Rather than giving students functions or graphs, ask them to generate their own functions and graphs to fit descriptions. This makes students the authors of the problems--and engages them in a different level of critical thinking, while giving them the cha

 
Favorites (1)
 
Resources (12)
 
Reflections (1)
screenshot 2014 05 13 15 20 51
   
12th Grade Math » Unit: Cubic Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Build prisms that fit certain requirements and generate functions to describe these prisms. What kinds of functions arise?

 
Favorites (3)
 
Resources (11)
the painted cube day 2
   

Seeing Structure in Expressions - Factoring Higher Order Polynomials

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

Like quadratic expressions, some higher order polynomial expressions can be rewritten in factored form to reveal values that make the expression equal to zero.

 
Favorites (5)
 
Resources (25)
 
Reflections (2)
factoring quick poll
   
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

This fast-paced lesson introduces multiplication of binomials and factoring of quadratic expressions for the first time, which sets students up to explore both in depth over the next few days.

 
Favorites (11)
 
Resources (22)
 
Reflections (1)
u6 l3 big idea for slt 601 ii
Common Core Math
 
Something went wrong. See details for more info
Nothing to upload
details
close