## HSN-RN.B.3

## Explain why the sum or product of rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

7 Lesson(s)

### Operation Rational Irrational Numbers

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

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

### Complex Numbers and Quadratic Equations Test

Algebra II »
Unit: Complex Numbers and Quadratic Equations

Algebra II »
Unit: Complex Numbers and Quadratic Equations

Big Idea:

#### Test student on their knowledge of complex numbers and quadratic equations..

Favorites
(1)

Resources
(10)

### Manipulating Rational and Irrational Numbers

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 compare and contrast rational and irrational numbers to identify patterns and define a structure for working with both sets of numbers!

Standards:

Favorites
(8)

Resources
(28)

Reflections
(2)

### Simplifying Square Roots

Algebra II »
Unit: Complex Numbers and Quadratic Equations

Algebra II »
Unit: Complex Numbers and Quadratic Equations

Big Idea:

#### Area models introduce this Common Core transitional lesson on simplifying square roots.

Standards:

Favorites
(2)

Resources
(25)

Reflections
(2)

### Complex Numbers and Quadratic Equations Review

Algebra II »
Unit: Complex Numbers and Quadratic Equations

Algebra II »
Unit: Complex Numbers and Quadratic Equations

Big Idea:

#### Students create a personal study plan as they review complex numbers and quadratic equations.

Standards:

Favorites
(1)

Resources
(16)

### The Real Number System

Algebra II »
Unit: Complex Numbers and Quadratic Equations

Algebra II »
Unit: Complex Numbers and Quadratic Equations

Big Idea:

#### This lesson relates the real number system to its historical perspective.

Standards:

Favorites
(28)

Resources
(34)

Reflections
(3)

### Real and Complex Number System Quiz

Algebra II »
Unit: Complex Numbers and Quadratic Equations

Algebra II »
Unit: Complex Numbers and Quadratic Equations

Big Idea:

#### This formative assessment assesses student proficiency in identifying the membership of any given number into the real, imaginary and complex number systems.

Standards:

Favorites
(2)

Resources
(15)

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