HSA-CED.A.3

Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

 
86 Lesson(s)
   

What is Algebra?

Algebra II » Unit: Modeling with Algebra
Algebra II » Unit: Modeling with Algebra
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

Algebra is built on axioms and definitions and relies on proofs just as much as geometry.

 
Favorites (35)
 
Resources (19)
 
Reflections (2)
al khwarizmi stamp
   

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
   

Solving Two Variable Inequalities

Algebra I » Unit: Extending Equations
Algebra I » Unit: Extending Equations
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

See how to use test points to determine how to determine the solution to a two-variable inequality.

 
Favorites (14)
 
Resources (22)
 
Reflections (1)
solving two variable inequalities image
   

The Groupon Question: Solving Two Variable Equations

Algebra I » Unit: Extending Equations
Algebra I » Unit: Extending Equations
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

An equation in two variables can have many solutions which are represented as ordered pairs in the coordinate plane.

 
Favorites (11)
 
Resources (17)
 
Reflections (1)
solving two variable equations image cropped
   

More Linear Programming

12th Grade Math » Unit: Matrices and Systems
12th Grade Math » Unit: Matrices and Systems
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Formalize the concepts from yesterday's Lego problem.

 
Favorites (2)
 
Resources (15)
 
Reflections (2)
untitled
   

The Best of 2 Cell Phone Plans

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

The purpose of this lesson is for students to understand how to analyze a system of equations to determine when a plan is cheaper, more expensive, or cost the same at certain points on the graph.

 
Favorites (4)
 
Resources (12)
 
Reflections (1)
cell phone plan
   

Solving Linear Inequalities

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

Students will apply their knowledge of multi-step equations to solve linear inequalities.

 
Favorites (17)
 
Resources (22)
 
Reflections (3)
justice 147214 640
   

More Solving Problems with Equations

Algebra I » Unit: Extending Equations
Algebra I » Unit: Extending Equations
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

Students should determine how the unknowns in a problem are related to each other in order to help them set up the equation.

 
Favorites (4)
 
Resources (16)
 
Reflections (1)
solving problems w equations2 resized
   

Quarters, Dimes and Linear Combinations

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

Students start with a concrete problem as they define constraints and progress to the abstract level of solving using algebraic methods. .

 
Favorites (3)
 
Resources (9)
quarters and dimes
   
Algebra I » Unit: Systems of Equations
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

The idea of this lesson is to provide students with an alternate teaching method by using Khan Academy to gain interest, comprehension, and scaffolding for differentiated learning.

 
Favorites (3)
 
Resources (8)
khan academy students working
   

Define, Set, Go!

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

Students are exposed to importance of defining variables as an initial step in solving a linear system of equations.

 
Favorites (2)
 
Resources (11)
 
Reflections (1)
define set go
   
Algebra I » Unit: Everything is Relative: Linear Functions
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students model the many adventures of hobbit Frodo Baggins while exploring the concept of domain AND learning how to graph piece-wise functions!

 
Favorites (3)
 
Resources (30)
 
Reflections (3)
map middle earth
   

Solution Sets to Equations/Inequalities

Algebra I » Unit: Understanding Equations
Algebra I » Unit: Understanding Equations
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

Mathematically literate students understand the language of mathematics and how to represent information symbolically.

 
Resources (13)
solution sets equations image
   

Unit Assessment: Matrices and Systems

12th Grade Math » Unit: Matrices and Systems
12th Grade Math » Unit: Matrices and Systems
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Assess your students' understanding of this unit.

 
Resources (3)
exam
   

Introduction to a System of Linear Equations

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

Students need to be able to meaningfully describe the solution to a system of linear equations.

 
Favorites (16)
 
Resources (12)
 
Reflections (1)
solution
Common Core Math
 
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