HSA-REI.A.2

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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.2

## Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

45 Lesson(s)

### Speed Dating Rationally

12th Grade Math »
Unit: Rational Functions and Equations

12th Grade Math »
Unit: Rational Functions and Equations

Big Idea:

#### Efficiency and accuracy improves as students solve rational equations with their ‘date’ in this interactive and self-checking speed dating activity.

Standards:

Favorites
(16)

Resources
(20)

Reflections
(1)

### Investigating a Radical Function

Algebra II »
Unit: Radical Functions - It's a sideways Parabola!

Algebra II »
Unit: Radical Functions - It's a sideways Parabola!

Big Idea:

#### A single radical function, carefully studied, leads students to important conclusions about inverse functions and extraneous solutions.

Standards:

Favorites
(5)

Resources
(11)

Reflections
(1)

### Dividing Radicals Made Easy Through the History of Rationalizing

Algebra I »
Unit: Radical Expressions, Equations, and Rational Exponents

Algebra I »
Unit: Radical Expressions, Equations, and Rational Exponents

Big Idea:

#### The main idea of this lesson is that students compare dividing radicals by hand without rationalizing and realize why rationalizing came about and how it works.

Standards:

Favorites
(7)

Resources
(12)

### Renovate a Park by Applying Radicals and Formulas

Algebra I »
Unit: Radical Expressions, Equations, and Rational Exponents

Algebra I »
Unit: Radical Expressions, Equations, and Rational Exponents

### Another Rational Approach to Solving: Graphing

12th Grade Math »
Unit: Rational Functions and Equations

12th Grade Math »
Unit: Rational Functions and Equations

Big Idea:

#### Students use their knowledge of solving systems to write a system that makes the solution to a rational equation visible.

Standards:

Favorites
(1)

Resources
(13)

Reflections
(1)

### Separate the Radicals

8th Grade Math »
Unit: Relationships between Quantities/Reasoning with Equations

8th Grade Math »
Unit: Relationships between Quantities/Reasoning with Equations

Big Idea:

#### Radical expressions are common in geometry, trigonometry, and in the building professions. The voltage formula in electrical engineering for example, is V = √PR. Students need to be confident solving radical equations.

Favorites
(6)

Resources
(9)

### Tailgating and Solving Radical Equations

Algebra I »
Unit: Radical Expressions, Equations, and Rational Exponents

Algebra I »
Unit: Radical Expressions, Equations, and Rational Exponents

### Rational Approaches to Solving Rational Equations

12th Grade Math »
Unit: Rational Functions and Equations

12th Grade Math »
Unit: Rational Functions and Equations

Big Idea:

#### Factoring polynomials and simplifying fractions while solving equations are key skills to review at the start of this unit.

Standards:

Favorites
(5)

Resources
(21)

Reflections
(1)

### Solving Radical Equations

Algebra II »
Unit: Radical Functions - It's a sideways Parabola!

Algebra II »
Unit: Radical Functions - It's a sideways Parabola!

Big Idea:

#### Many examples help students to see how the structure of an equation indicates whether extraneous solutions will arise.

Standards:

Favorites
(2)

Resources
(8)

### Solving Radical Equations Day 2

Algebra II »
Unit: Radical Functions - It's a sideways Parabola!

Algebra II »
Unit: Radical Functions - It's a sideways Parabola!

Big Idea:

#### Solving a variety of problems, and reflecting on the solutions, teaches students to look for and make use of structure.

Standards:

Favorites
(1)

Resources
(9)

### Graphing Radical Functions Day 2

Algebra II »
Unit: Radical Functions - It's a sideways Parabola!

Algebra II »
Unit: Radical Functions - It's a sideways Parabola!

Big Idea:

#### Looking back over a number of examples, students make use of the structure of equations to anticipate the graph.

Standards:

Favorites
(2)

Resources
(7)

### Solving Radical Equations Day 3

Algebra II »
Unit: Radical Functions - It's a sideways Parabola!

Algebra II »
Unit: Radical Functions - It's a sideways Parabola!

Big Idea:

#### Solving equations is a form of reasoning, and students learn to critique their reasoning to make sense of unexpected outcomes.

Standards:

Resources
(11)

### Modeling the Speed of Tsunamis with Square Roots

Algebra II »
Unit: Radical Functions and Equations

Algebra II »
Unit: Radical Functions and Equations

Big Idea:

#### Students build a plan to determine the time it takes a tsunami to travel.

Standards:

Favorites
(13)

Resources
(18)

Reflections
(3)

Big Idea:

#### Play Jeopardy to fill those odd days before break or during homecoming week with meaningful mathematical activities like this Jeopardy game.

Standards:

HSN-CN.A.1
HSN-CN.A.2
HSA-SSE.A.2
HSA-CED.A.1
HSA-CED.A.2
HSA-CED.A.3
HSA-CED.A.4
HSA-REI.A.2
HSA-REI.D.11
HSF-IF.B.4
HSF-IF.B.5
HSF-IF.B.6
HSF-IF.C.7
HSF-IF.C.8
HSF-BF.B.3
HSF-BF.B.4
HSF-LE.A.4
HSF-TF.A.1
HSF-TF.A.2
HSF-TF.B.5
HSF-TF.C.8
HSS-ID.A.4
HSS-IC.A.1
HSS-IC.A.2
HSS-IC.B.3
HSS-IC.B.4
HSS-IC.B.5
HSS-IC.B.6
HSS-MD.B.6
HSS-MD.B.7
MP1
MP2
MP6

Favorites
(8)

Resources
(8)

### Solving Rational Equations, Day 2

Algebra II »
Unit: Rational Functions

Algebra II »
Unit: Rational Functions

Big Idea:

#### The structure of a rational equation is extremely important! Pay attention to the structure and the solution may come more easily.

Standards:

Favorites
(1)

Resources
(11)

Common Core Math

### Kindergarten

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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

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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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