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Questions
Bell Ringer
Review- Fractions
- Operations with Fractions (+, -, *, /)
- Simplifying Fractions
- Rationals
- Operation with Rationals
- Simplifying Rational Expressions
Lesson
- Excluded Values (video)
- Simplifying Rational Expressions (video)
- Multiplying/Dividing Rational Expressions (video)
- Dividing Polynomials (video)
- Adding/Subtracting Rational Expressions (video)
- Solving Rational Equations (video)
Exit Ticket
- Posted at the end of the block!
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Lesson Objective(s)
- How can excluded values of rational expressions be found?
- How can rational expressions be simplified?
Skills
- Define and give an example of a rational expression.
- Find the excluded values of a rational expression.
- Simplify rational expressions.
Standard(s)
- CC.9-12.A.REI.2 Understand solving equations as a process of reasoning and explain the reasoning. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
- CC.9-12.N.RN.1 Extend the properties of exponents to rational exponents. Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want [5^(1/3)]^3 = 5^[(1/3) x 3] to hold, so [5^(1/3)]^3 must equal 5.
- CC.9-12.N.RN.2 Extend the properties of exponents to rational exponents. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
- CC.8.G.8 Understand and apply the Pythagorean Theorem. Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Mathematical Practice(s)
- #1 - Make sense of problems and persevere in solving them
- #2 - Reason abstractly and quantitatively
- #7 - Look for and make use of structure
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