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
(12)

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
(2)

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
(4)

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:

Favorites
(1)

Resources
(13)

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:

Favorites
(1)

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)

### 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

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HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

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Ninth and Tenth Grade

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