Unit 3-- Algebra: Rational Exponents and Square Root Functions

October 25 - November 10, 2011

10/25-26/2011
Raider Flashback
Lesson 3.1-- Evaluate nth Root and Use rational Exponents pg 109-110
  • GPS- MM3A2a, MM3A2b, MM3A3d
  • Key Concept
    • You will find the nth root of a real number, evaluate expressions with rational exponents, and approximate roots with a calculator.
  • Questions to think about...
    • The volume of a cube with side length of x is 64 cubis inches. Use the trial error to find a number whose cube is 64. What is the length of the cube
  • Common Students Error...
    • When evaluating expressions with rational exponents, student may mistakenly interchange the numerator and denominator of the exponent.
  • Classwork: Example problems1-4, guided practice problems1-10
  • Homework: from your math book pg. 111 (2-34) EOE
  • Notes

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10/27-28/2011
Raider Flashback
Lesson 3.2--Apply Properties of Rational Exponents
  • GPS- MM3A2b
  • Goal: Simplify expressions involving rational exponents.
  • Key Concept:
    • The properties of rational exponents and radicals can be used simplify, add, and subtract expression involving variables.
  • Questions to think about...
    • How do you simplify (m^4)^5?

  • Common Student Error...
    • When simplifying expression involving radicals, students must multiply both the numerator and denominator of the expression by the same value.
  • Classwork: Examples 1-6, Guided Practice Problems 1-18
  • Homework: work from the math 3 book pg. 115 (2-24even) 10/31 p.115 (26-34even) 11/1
  • Notes


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10/31- 11/01/2011
Raider Flashback
Lesson 3.3--Graph Square Root and Cube Root Functions
  • Goal: Graph square root and cube root functions.
    • GPS- MM3A2d
  • Key Concept
    • The parent functions, y= square root of X and y= cube root of X, can be used to graph square root and cube root
  • Questions to think about...
    • Compare the two equations y=X^3 and y=(X-3)^2 -2, what is happen between them.
  • Common Student Error...
    • When graphing square root and cube functions, some students may shift the parent graph horizontally in the wrong direction.
  • Classwork: Examples 1-3, Guided Practice Problems
  • Homework: Math 3 book page 120(1-12)All
  • Notes

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11/02-03/2011
Raider Flashback
Lesson 3.4--Solve Radical Equations
  • Goal: Solve radical equations.
    • GPS- MM3A2d
  • Key Concept
    • To solve a radical equation, isolate the radical, raise each side of the equation to a power, and solve the resulting equation.
  • Questions to think about...
    • Simplify the following
      • sqaure root of 90
      • square root of 2 multiply by square root of 54
  • Common Student Error...
    • Students may attempt to raise both sides of an equation to the same power before isolating the radical.
  • Classwork: Examples and Guided Practice Problems
  • Homework: pg. 124 (1-31)odds 10/17 pg. 124 (2-32)even 10/18
  • Notes

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11/04 & 11/07/2011
Raider Flashback
Group Project- Weight Loss Program

11/08/2011
Raider Flashback
Guest Speaker- Navy Chemical Specialist Officer

11/09/2011
Raider Flashback
Unit 3 Test Review

11/10/2011
Raider Flashback
Unit 3 Test