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
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

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

 
Favorites (15)
 
Resources (20)
 
Reflections (1)
speed dating
   

Investigating a Radical Function

Algebra II » Unit: Radical Functions - It's a sideways Parabola!
Algebra II » Unit: Radical Functions - It's a sideways Parabola!
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

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

 
Favorites (5)
 
Resources (11)
 
Reflections (1)
radical function student work
   

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
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
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.

 
Favorites (7)
 
Resources (12)
rationalizing the denominator
   

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
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

The main purpose of this lesson is for students to solve real world problems that require problem solving skills and perseverance.

 
Favorites (2)
 
Resources (17)
 
Reflections (1)
park renovation
   

Another Rational Approach to Solving: Graphing

12th Grade Math » Unit: Rational Functions and Equations
12th Grade Math » Unit: Rational Functions and Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

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

 
Favorites (1)
 
Resources (13)
 
Reflections (1)
solv rational eqn graphing
   

Separate the Radicals

8th Grade Math » Unit: Relationships between Quantities/Reasoning with Equations
8th Grade Math » Unit: Relationships between Quantities/Reasoning with Equations
Mauricio Beltre
Orlando, FL
Environment: Urban
 
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 (5)
 
Resources (9)
radical image
   

Tailgating and Solving Radical Equations

Algebra I » Unit: Radical Expressions, Equations, and Rational Exponents
Algebra I » Unit: Radical Expressions, Equations, and Rational Exponents
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

The purpose of this lesson is for students to solve radical equations of index 2 by taking the square root and understanding extraneous solutions.

 
Favorites (5)
 
Resources (19)
 
Reflections (2)
tailgating
   

Rational Approaches to Solving Rational Equations

12th Grade Math » Unit: Rational Functions and Equations
12th Grade Math » Unit: Rational Functions and Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

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

 
Favorites (5)
 
Resources (21)
 
Reflections (1)
capture
   

Solving Radical Equations

Algebra II » Unit: Radical Functions - It's a sideways Parabola!
Algebra II » Unit: Radical Functions - It's a sideways Parabola!
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

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

 
Favorites (2)
 
Resources (8)
copy of radpic
   

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!
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

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

 
Favorites (1)
 
Resources (9)
student work solving eqns
   

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!
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

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

 
Favorites (2)
 
Resources (7)
graphing radical functions student work
   

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!
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

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

 
Resources (11)
student work concepts
   

Modeling the Speed of Tsunamis with Square Roots

Algebra II » Unit: Radical Functions and Equations
Algebra II » Unit: Radical Functions and Equations
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

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

 
Favorites (11)
 
Resources (18)
 
Reflections (3)
image speed of tsunamis
   

Solving Rational Equations, Day 2

Algebra II » Unit: Rational Functions
Algebra II » Unit: Rational Functions
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

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

 
Favorites (1)
 
Resources (11)
solving rational eqns 2
Common Core Math
 
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