HSA-REI.A.2

Scroll Up

- 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.

Scroll Down

## 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
(6)

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
(4)

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
(18)

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
(9)

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

### 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

### Third Grade

### Fourth grade

### Fifth grade

### Middle School

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

Third Grade

Fourth grade

Fifth grade

Middle School