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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.

Speed Dating Rationally

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.

Investigating a Radical Function

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.

Dividing Radicals Made Easy Through the History of Rationalizing

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.

Renovate a Park by Applying Radicals and Formulas

Algebra I

» Unit:

Radical Expressions, Equations, and Rational Exponents

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

Another Rational Approach to Solving: Graphing

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.

Separate the Radicals

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.

Tailgating and Solving Radical Equations

Algebra I

» Unit:

Radical Expressions, Equations, and Rational Exponents

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.

Rational Approaches to Solving Rational 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.

Solving Radical Equations

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.

Solving Radical Equations Day 2

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.

Graphing Radical Functions Day 2

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.

Solving Radical Equations Day 3

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.

Modeling the Speed of Tsunamis with Square Roots

Algebra II

» Unit:

Radical Functions and Equations

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

Algebra II Jeopardy

Algebra II

» Unit:

Games

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

Solving Rational Equations, Day 2

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.

HSA-REI.A.1

Explain 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.2

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