Algebra 1

Mark Beckwith, 2016/06/29

The contents of the Algebra 1 Book are geared to Common Core Algebra curriculum and learning standards. Contributors to this book include the following persons: Mark Beckwith Tim Brzezinski Tom Button Steve Phelps

目次

  1. Unit 1 - Solving Equations
    1. Solving Two-Step Linear Equations
    2. Solving Literal Equations
  2. Unit 2 - Graphing Linear Equations
    1. Rise & Run
    2. What is Slope?
    3. Moving Truck
    4. Latitude and Longitude
    5. What is Slope-Intercept Form?
    6. Graphing Using Slope-Intercept Form
    7. Writing Linear Equations in Slope-Intercept Form
    8. Parallel, Perpendicular, & Point-Slope Form
  3. Unit 3 - Solving and Graphing Linear Inequalities
    1. Linear Inequalities
  4. Unit 4 - Solving Systems of Equations and Inequalities
    1. Systems of Linear Equations
  5. Unit 5 - Linear Functions
    1. Evaluating Functions and Graphing Ordered Pairs
    2. Linear System Application
    3. Interpreting Systems of Linear Functions 1
    4. Interpreting Systems of Linear Functions 2
    5. Interpreting Systems of Linear Functions 3
    6. Interpreting Piece-wise Linear Functions 1
    7. Interpreting Piece-wise Linear Functions 2
    8. Interpreting Piece-wise Linear Functions 3
    9. Interpreting Systems of Piece-wise Linear Functions 1
    10. Interpreting Systems of Piece-wise Linear Functions 2
    11. Interpreting Systems of Piece-wise Linear Functions 3
  6. Unit 6 - Exponential Functions
    1. Exponential Growth
    2. Exponential Decay
  7. Unit 7 - Sequences
    1. Mr. Polya's Theater Hall
    2. Arithmetic Fidget Spinner
    3. Geometric Fidget Spinner
    4. Sequence Fidget Spinner
  8. Unit 8 - Polynomial Expressions and Equations
    1. Multiplying Binomial Expressions
    2. Factoring Quadratic Expressions 1
    3. Factoring Quadratic Expressions 2
    4. Factoring Quadratic Expressions 3
    5. Roots, Factors, and the Polynomial Function
    6. Leading Coefficients and End Behavior
  9. Unit 9 - Graphing Quadratic Functions
    1. Locus Definition of a Parabola
    2. Vertex Form of a Quadratic Function
    3. Writing Quadratic Equations
    4. Function Transformations
    5. Graphing Quadratic Equations in Vertex Form
  10. Unit 10 - Solving Quadratic Equations
    1. Completing the Square - Beginner
    2. Completing the Square - Novice
    3. Completing the Square - Advanced
    4. Solving Quadratic Equations Using Quadratic Formula (Quiz)
    5. Mr. B's Aquarium
    6. The Evil Stepbrother
  11. Unit 11 - Square Roots and Geometry
    1. Pythagorean Theorem 1
    2. Pythagorean Theorem 2
    3. Pythagorean Theorem - Types of Triangles
    4. Distance in the Coordinate Plane (II)
    5. Who needs the distance formula?
    6. Finding Distance between Two Points Practice
  12. Unit 12 - Statistics
    1. Statistical Analyses
    2. Linear Regressions

1.

Unit 1 - Solving Equations

  • 1. Solving Two-Step Linear Equations
  • 2. Solving Literal Equations

1.1.

–

1.2.

–

2.

Unit 2 - Graphing Linear Equations

  • 1. Rise & Run
  • 2. What is Slope?
  • 3. Moving Truck
  • 4. Latitude and Longitude
  • 5. What is Slope-Intercept Form?
  • 6. Graphing Using Slope-Intercept Form
  • 7. Writing Linear Equations in Slope-Intercept Form
  • 8. Parallel, Perpendicular, & Point-Slope Form

2.1.

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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.

Unit 3 - Solving and Graphing Linear Inequalities

  • 1. Linear Inequalities

3.1.

–

4.

Unit 4 - Solving Systems of Equations and Inequalities

  • 1. Systems of Linear Equations

4.1.

–

5.

Unit 5 - Linear Functions

  • 1. Evaluating Functions and Graphing Ordered Pairs
  • 2. Linear System Application
  • 3. Interpreting Systems of Linear Functions 1
  • 4. Interpreting Systems of Linear Functions 2
  • 5. Interpreting Systems of Linear Functions 3
  • 6. Interpreting Piece-wise Linear Functions 1
  • 7. Interpreting Piece-wise Linear Functions 2
  • 8. Interpreting Piece-wise Linear Functions 3
  • 9. Interpreting Systems of Piece-wise Linear Functions 1
  • 10. Interpreting Systems of Piece-wise Linear Functions 2
  • 11. Interpreting Systems of Piece-wise Linear Functions 3

5.1.

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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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5.8.

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5.9.

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5.10.

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5.11.

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6.

Unit 6 - Exponential Functions

  • 1. Exponential Growth
  • 2. Exponential Decay

6.1.

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6.2.

–

7.

Unit 7 - Sequences

  • 1. Mr. Polya's Theater Hall
  • 2. Arithmetic Fidget Spinner
  • 3. Geometric Fidget Spinner
  • 4. Sequence Fidget Spinner

7.1.

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7.2.

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7.3.

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7.4.

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8.

Unit 8 - Polynomial Expressions and Equations

  • 1. Multiplying Binomial Expressions
  • 2. Factoring Quadratic Expressions 1
  • 3. Factoring Quadratic Expressions 2
  • 4. Factoring Quadratic Expressions 3
  • 5. Roots, Factors, and the Polynomial Function
  • 6. Leading Coefficients and End Behavior

8.1.

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8.2.

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8.3.

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8.4.

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8.5.

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8.6.

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9.

Unit 9 - Graphing Quadratic Functions

  • 1. Locus Definition of a Parabola
  • 2. Vertex Form of a Quadratic Function
  • 3. Writing Quadratic Equations
  • 4. Function Transformations
  • 5. Graphing Quadratic Equations in Vertex Form

9.1.

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9.2.

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9.3.

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9.4.

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9.5.

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10.

Unit 10 - Solving Quadratic Equations

  • 1. Completing the Square - Beginner
  • 2. Completing the Square - Novice
  • 3. Completing the Square - Advanced
  • 4. Solving Quadratic Equations Using Quadratic Formula (Quiz)
  • 5. Mr. B's Aquarium
  • 6. The Evil Stepbrother

10.1.

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10.2.

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10.3.

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10.4.

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10.5.

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10.6.

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11.

Unit 11 - Square Roots and Geometry

  • 1. Pythagorean Theorem 1
  • 2. Pythagorean Theorem 2
  • 3. Pythagorean Theorem - Types of Triangles
  • 4. Distance in the Coordinate Plane (II)
  • 5. Who needs the distance formula?
  • 6. Finding Distance between Two Points Practice

11.1.

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11.2.

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11.3.

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11.4.

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11.5.

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11.6.

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12.

Unit 12 - Statistics

  • 1. Statistical Analyses
  • 2. Linear Regressions

12.1.

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12.2.

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情報