HSA-CED.A.3

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- HSA-CED.A.1Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
- HSA-CED.A.2Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
- HSA-CED.A.3Represent 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.
- HSA-CED.A.4Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohmâ€™s law V = IR to highlight resistance R.

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## 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)

Big Idea:

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

Standards:

Favorites
(35)

Resources
(19)

Reflections
(2)

### Review of Polynomial Roots and Complex Numbers

Algebra II »
Unit: Polynomial Theorems and Graphs

Algebra II »
Unit: Polynomial Theorems and Graphs

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.

Standards:

Favorites
(2)

Resources
(10)

### Solving Two Variable Inequalities

Algebra I »
Unit: Extending Equations

Algebra I »
Unit: Extending Equations

Big Idea:

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

Standards:

Favorites
(14)

Resources
(22)

Reflections
(1)

### The Groupon Question: Solving Two Variable Equations

Algebra I »
Unit: Extending Equations

Algebra I »
Unit: Extending Equations

Big Idea:

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

Standards:

Favorites
(11)

Resources
(17)

Reflections
(1)

### More Linear Programming

12th Grade Math »
Unit: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

Big Idea:

#### Formalize the concepts from yesterday's Lego problem.

Standards:

Favorites
(2)

Resources
(15)

Reflections
(2)

### The Best of 2 Cell Phone Plans

Algebra I »
Unit: Systems of Equations

Algebra I »
Unit: Systems of Equations

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.

Standards:

Favorites
(4)

Resources
(12)

Reflections
(1)

### Solving Linear Inequalities

Algebra I »
Unit: Linear Inequalities

Algebra I »
Unit: Linear Inequalities

Big Idea:

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

Standards:

Favorites
(17)

Resources
(22)

Reflections
(3)

### More Solving Problems with Equations

Algebra I »
Unit: Extending Equations

Algebra I »
Unit: Extending Equations

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.

Standards:

Favorites
(4)

Resources
(16)

Reflections
(1)

### Quarters, Dimes and Linear Combinations

Algebra I »
Unit: Systems of Equations

Algebra I »
Unit: Systems of Equations

Big Idea:

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

Standards:

Favorites
(3)

Resources
(9)

### Khan Your Way Into Solving a System of Equations Using Elimination

Algebra I »
Unit: Systems of Equations

Algebra I »
Unit: Systems of Equations

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.

Standards:

Favorites
(3)

Resources
(8)

Big Idea:

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

Standards:

Favorites
(2)

Resources
(11)

Reflections
(1)

### Running and the Domain of Middle Earth: Modeling a Run and a Hobbit's Journey through Piece-wise Functions

Algebra I »
Unit: Everything is Relative: Linear Functions

Algebra I »
Unit: Everything is Relative: Linear Functions

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!

Standards:

Favorites
(3)

Resources
(30)

Reflections
(3)

### Solution Sets to Equations/Inequalities

Algebra I »
Unit: Understanding Equations

Algebra I »
Unit: Understanding Equations

Big Idea:

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

Standards:

Resources
(13)

### Unit Assessment: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

Big Idea:

#### Assess your students' understanding of this unit.

Standards:

Resources
(3)

### Introduction to a System of Linear Equations

Algebra I »
Unit: Systems of Equations

Algebra I »
Unit: Systems of Equations

Big Idea:

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

Standards:

Favorites
(16)

Resources
(12)

Reflections
(1)

Common Core Math

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HS Number & Quantity

HS Algebra

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HS Geometry

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Ninth and Tenth Grade

Kindergarten

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