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
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.

Standards:

Favorites (16)

Resources (20)

Reflections (1)

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

Big Idea:

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

Standards:

Favorites (7)

Resources (11)

Reflections (1)

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

Big Idea:

Standards:

Favorites (9)

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
Rogers, AR
Environment: Rural

Big Idea:

Standards:

Favorites (3)

Resources (17)

Reflections (1)

Another Rational Approach to Solving: Graphing

12th Grade Math » Unit: Rational Functions and Equations
12th Grade Math » Unit: Rational Functions and Equations
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.

Standards:

Favorites (1)

Resources (13)

Reflections (1)

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

Standards:

Favorites (6)

Resources (9)

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

Big Idea:

Standards:

Favorites (5)

Resources (19)

Reflections (2)

Rational Approaches to Solving Rational Equations

12th Grade Math » Unit: Rational Functions and Equations
12th Grade Math » Unit: Rational Functions and Equations
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.

Standards:

Favorites (5)

Resources (21)

Reflections (1)

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

Standards:

Favorites (4)

Resources (8)

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

Standards:

Favorites (1)

Resources (9)

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

Standards:

Favorites (2)

Resources (7)

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

Big Idea:

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
Caldwell, ID
Environment: Rural

Big Idea:

Standards:

Favorites (20)

Resources (18)

Reflections (3)

Algebra II Jeopardy

Algebra II » Unit: Games
Algebra II » Unit: Games
Craigmont, ID
Environment: Rural

Big Idea:

Standards:

Favorites (11)

Resources (8)

Solving Rational Equations, Day 2

Algebra II » Unit: Rational Functions
Algebra II » Unit: Rational Functions
Fort Collins, CO
Environment: Suburban

Big Idea:

Standards:

Favorites (1)

Resources (11)
Common Core Math