HSA-REI.A.1

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- HSA-REI.A.1Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
- HSA-REI.A.2Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

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## HSA-REI.A.1

## Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

59 Lesson(s)

### Solving Equations

Algebra I »
Unit: Understanding Equations

Algebra I »
Unit: Understanding Equations

### True & False Equations (Day 1 of 2)

Algebra I »
Unit: Understanding Equations

Algebra I »
Unit: Understanding Equations

Big Idea:

#### Let's take an in-depth look at what it means for mathematical sentences to be equal.

Standards:

Favorites
(10)

Resources
(24)

Reflections
(2)

### True & False Equations (Day 2 of 2)

Algebra I »
Unit: Understanding Equations

Algebra I »
Unit: Understanding Equations

Big Idea:

#### The structure of an equation gives insight into the number of solutions the equation has.

Standards:

Favorites
(6)

Resources
(13)

Reflections
(1)

### Review, Justification, and Critique

Algebra I »
Unit: Creating Linear Equations

Algebra I »
Unit: Creating Linear Equations

Big Idea:

#### A recipe for critique: "I like how you did this and that, and here's what I think you should change..."

Standards:

Favorites
(2)

Resources
(14)

Reflections
(1)

### Non-Linear Systems of Equations

12th Grade Math »
Unit: Conic Sections

12th Grade Math »
Unit: Conic Sections

Big Idea:

#### Students model their solutions to non-linear systems in multiple ways.

Standards:

Favorites
(1)

Resources
(17)

### Keeping Your Identity

8th Grade Math »
Unit: Solving Linear Equations in One Variable

8th Grade Math »
Unit: Solving Linear Equations in One Variable

### Bring in the Sub!: Solving Systems of Equations in 2 Variables

Algebra I »
Unit: Making Informed Decisions with Systems of Equations

Algebra I »
Unit: Making Informed Decisions with Systems of Equations

Big Idea:

#### Students complete group work on engaging real-world problems and provide constructive feedback to their peers through a gallery walk!

Standards:

Favorites
(3)

Resources
(22)

Reflections
(2)

### Solving and Proving Compound Inequalities

Algebra I »
Unit: Its Not Always a Straight Answer: Linear Equations and Inequalities in 1 Variable

Algebra I »
Unit: Its Not Always a Straight Answer: Linear Equations and Inequalities in 1 Variable

Big Idea:

#### Students actively engage in the note-taking process to master an important skill in Algebra!

Standards:

Favorites
(6)

Resources
(20)

Reflections
(1)

### Laws of Logarithms and Real Applications

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### This lesson provides the students with additional support on the properties of logarithms. It concludes with an introductory problem set involving exponential equations.

Standards:

Favorites
(3)

Resources
(16)

Reflections
(1)

### Mortgages and Geometric Series DAY #3

Algebra II »
Unit: Sequences and Series

Algebra II »
Unit: Sequences and Series

Big Idea:

#### Students will work as bankers explaining how a mortgage payment is calculated to an acting client.

Standards:

Resources
(13)

Reflections
(1)

### Mortgages Wrap-up and Additional Scaffolding

Algebra II »
Unit: Sequences and Series

Algebra II »
Unit: Sequences and Series

Big Idea:

#### A time of reflection over an in-depth mathematical investigation - coupled with additional practice and skill building.

Standards:

Resources
(18)

Reflections
(1)

### Mortgages and Geometric Series DAY #2

Algebra II »
Unit: Sequences and Series

Algebra II »
Unit: Sequences and Series

Big Idea:

#### Mortgages made easy with knowledge of a geometric series!

Standards:

Resources
(13)

Reflections
(1)

### I Absolute(ly) Don't Care About Direction: Solving and Proving Absolute Value Equations and Inequalities

Algebra I »
Unit: Its Not Always a Straight Answer: Linear Equations and Inequalities in 1 Variable

Algebra I »
Unit: Its Not Always a Straight Answer: Linear Equations and Inequalities in 1 Variable

Big Idea:

#### Stock trading is utilized as an entry point for students to explore the strange and wonderful world of absolute value equations and inequalities.

Standards:

Favorites
(13)

Resources
(16)

### Job Offers and Cell Phone Plans: Making Informed Decisions with Mathematics

Algebra I »
Unit: Making Informed Decisions with Systems of Equations

Algebra I »
Unit: Making Informed Decisions with Systems of Equations

Big Idea:

#### Students learn to act as knowledgeable consumers as they model cell phone plans and make decisions about which plan best meets their needs.

Standards:

Favorites
(3)

Resources
(32)

Reflections
(3)

Big Idea:

#### This lesson begins to builds students understanding of proofs using Algebra and Geometry.

Standards:

Favorites
(8)

Resources
(25)

Reflections
(2)

Common Core Math

### Kindergarten

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### HS Number & Quantity

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Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

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