Algebra DASD

David, Jul 16, 2015

Various Algebra topics located within.

Table of Contents

  1. Warm-Up Activities
    1. Animated Twitter Bird
  2. Linear Relationships
    1. One Variable Linear Equations revised
    2. Graphing Lines in Slope-Intercept Form
    3. Graphing Linear Equations in Slope-Intercept/Standard Form
    4. Graphing Horizontal and Vertical Lines
    5. Writing Linear Equations from their Graphs
    6. Writing Equations for Horiz/Vert Lines
    7. Systems of Equations 1
    8. Copy of Simplifying Linear Expressions
  3. Quadratic Relationships
    1. Multiplying Linear Polynomials with Area Model
    2. Factoring Quadratics a = 1 w/ Box Method
    3. Factoring Quadratics a other than 1 w/ Box Method
    4. Writing Quadratic Functions from their Graphs
  4. Polynomials
    1. Writing Polynomial Functions from their Graphs
    2. Synthetic Division
    3. Copy of Quiz: Simplifying Algebraic Expressions
    4. Copy of Multiplying Binomials
  5. Logarithms
    1. Copy of Logarithmic Action (4)!
    2. Copy of Logarithmic Action (4)! V2
    3. Copy of Expanding Natural Logarithms-Section 6.2
    4. Copy of MC-Section 6.1 & 6.2-Contracting Logarithmic Expressions
    5. Copy of Simple Logarithms-Section 6.1
    6. Copy of Exponential to Logarithm-Section 4.6 & 6.1
    7. Copy of Contract Natural Logarithms-Section 6.2

1.

Warm-Up Activities

  • 1. Animated Twitter Bird

1.1.

Animated Twitter Bird

Can you figure out which transformations are being used in this sketch?
– Jennifer Silverman, David

2.

Linear Relationships

  • 1. One Variable Linear Equations revised
  • 2. Graphing Lines in Slope-Intercept Form
  • 3. Graphing Linear Equations in Slope-Intercept/Standard Form
  • 4. Graphing Horizontal and Vertical Lines
  • 5. Writing Linear Equations from their Graphs
  • 6. Writing Equations for Horiz/Vert Lines
  • 7. Systems of Equations 1
  • 8. Copy of Simplifying Linear Expressions

2.1.

One Variable Linear Equations revised
– David

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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3.

Quadratic Relationships

  • 1. Multiplying Linear Polynomials with Area Model
  • 2. Factoring Quadratics a = 1 w/ Box Method
  • 3. Factoring Quadratics a other than 1 w/ Box Method
  • 4. Writing Quadratic Functions from their Graphs

3.1.

Multiplying Linear Polynomials with Area Model

Multiplying Linear Polynomials with Area Model
– David

3.2.

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3.3.

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3.4.

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4.

Polynomials

  • 1. Writing Polynomial Functions from their Graphs
  • 2. Synthetic Division
  • 3. Copy of Quiz: Simplifying Algebraic Expressions
  • 4. Copy of Multiplying Binomials

4.1.

Writing Polynomial Functions from their Graphs

Write a polynomial function rule for the given polynomial graph using what you know about roots, x-intercepts, and multiplicity.
Writing Polynomial Functions from their Graphs
– David

4.2.

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4.3.

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4.4.

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5.

Logarithms

  • 1. Copy of Logarithmic Action (4)!
  • 2. Copy of Logarithmic Action (4)! V2
  • 3. Copy of Expanding Natural Logarithms-Section 6.2
  • 4. Copy of MC-Section 6.1 & 6.2-Contracting Logarithmic Expressions
  • 5. Copy of Simple Logarithms-Section 6.1
  • 6. Copy of Exponential to Logarithm-Section 4.6 & 6.1
  • 7. Copy of Contract Natural Logarithms-Section 6.2

5.1.

Copy of Logarithmic Action (4)!

Interact with the applet below for a few minutes. [br][b][color=#9900ff]At any time, you can move the purple point with coordinates ([i]c[/i], 0) anywhere on the positive x-axis. [/color] [/b][br][br]Please answer the questions that follow.
For any value [i]c[/i] > 0, write 2 identities that express the relationships visually shown here.
Since logarithms are exponents, explain why (using what you already know about exponent properties), these two relationships must be true.
– David, Tim Brzezinski

5.2.

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5.3.

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5.4.

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5.5.

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5.6.

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5.7.

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