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ALGEBRA I ACADEMIC LIBRARY 

Second Semester

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Algebra I Online

​Algebra I is a full year, high school credit course that is intended for the student who has successfully mastered the core algebraic concepts covered in the prerequisite course, Pre-Algebra. Within the Algebra 1 course, the student will explore basic algebraic fundamentals such as evaluating, creating, solving and graphing linear, quadratic, and polynomial functions.

​Working together to provide the most comprehensive helps to our students, NFC Academy provides this Academic Library of videos which give to the student additional examples and instruction of daily concepts

More Help for You Algebra I
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Algebra I Online Second Semester

UNIT 7 – POLYNOMIALS

  1. Adding and Subtracting Polynomials
    1. ​Adding and Subtracting Polynomials
    2. ​Adding and Subtracting Polynomials 
  2. Grouping Symbols
  3. Quiz 1: Adding and Subtracting Polynomials
  4. Multiplying by a Monomial
    1. Multiplying monomials ​
  5. Multiplying Polynomials​
    1. Multiplying binomials by polynomials 
    2. Multiplying Polynomials
    3. ​Multiplying Polynomials 3 
  6. F.O.I.L. and Special Cases
    1. ​FOIL for multiplying binomials 
  7. Dividing by a Monomial
    1. ​Dividing monomials 
  8. Long Division
    1. ​​Polynomial Division 
    2. ​​Polynomial Division 1 
    3. Dividing Polynomials with Remainders 
  9. Quiz 2: Multiplying and Dividing Polynomials
  10. Greatest Common Factor
    1. ​​Greatest Common Divisor  
    2. ​Greatest Common Divisor Factor Exercise
    3. ​LCM and GCF (greatest common factor) Word Problems 
  11. Factoring Out the GCF​
    1. Factoring: Factoring Out the Greatest Common Factor
  12. Factoring by Grouping
    1. ​Factor by Grouping ​
    2. Factoring: Factoring Out the Greatest Common Factor
    3. Factor by Grouping
    4. Factor Polynomials by Grouping (Exercise) 
  13. Factoring Trinomials (1)
    1. Factoring a Trinomial with Leading Coefficient 1 –The Basics ​ 
  14. Factoring Trinomials (2)
    1. ​​Example 4 Factor by Grouping 
    2. ​Example 5 Factor by Grouping 
    3. Example 6 Factor by Grouping 
  15. Special Cases
  16. Complete Factorization
    1. ​Factor by grouping and factoring completely 
  17. Quiz 3: Factoring Polynomials
  18. Review
  19. Test
  20. Alternate Test
UNIT 8 – EXPONENTIAL AND RADICAL FUNCTIONS

  1. Negative Exponents
  2. Exponential Expressions
  3. Exponential Functions
  4. Scientific Notation
  5. Applications of Exponential Functions
  6. Quiz 1: Evaluating Exponential Expressions
  7. Multiplication
  8. Raising to a Power 
  9. Division
  10. Geometric Sequences
  11. ​Geometric Sequences 2
  12. Quiz 2: Properties of Exponents
  13. Simplifying Radicals
  14. Multiplying Radicals
  15. Dividing Radicals
  16. Adding and Subtracting Radicals
  17. Radical Equations
  18. Graphing Radical Functions
  19. Quiz 3: Radical Functions
  20. Review
  21. Test
  22. Alternate Test
  23. Glossary and Credits

     

      UNIT 9 – QUADRATICS

      1. Pythagorean Theorem
        1. The Pythagorean Theorem intro
        2. ​Pythagorean Theorem ​Distance
      2. Distance
        1. Distance Formula 
        2. Finding distance with the Pythagorean Theorem 
        3. The Distance Formula
      3. Systems of Linear and Exponential Equations
        1. ​Linear and Exponential Equations
        2. Linear and Exponential Equations
      4. Midpoint
        1. Midpoint Formula 
        2. Midpoint Formula Exercise 
      5. Quiz 1: Formulas
      6. Quadratic Functions
        1. The quadratic formula
        2. Quadratic function overview
        3. The Quadratic Formula
        4. Finding features of quadratic functions 
      7. Transformations: Quadratics
        1. Conic Sections: The Parabola Part 1
        2. Conic Sections: The Parabola Part 2
        3. Graphs of exponential growth  
        4. Graph exponential functions
        5. Equations of a Transformed Function
      8. Transformations: Exponential Functions
        1. Transformation of Exponential Functions
      9. Line of Symmetry
        1. Parabola’s Vertex and Axis of Symmetry 
      10. ​Quadratic Inequalities
        1. Quadratic Inequalities
        2. Graph and Solve Quadratic Inequalities Part I
        3. Graph and Solve Quadratic Inequalities
      11. Quiz 2: Graphing Quadratic Functions
      12. Solving by Factoring
        1. Factoring Quadratic Expressions 
        2. Examples: Factoring Simple Quadratics 
      13. Square Root Method
        1. Solving Quadratic Equations: The Square Root Property
      14. Applications of Quadratics – Use your lesson on Quadratics to complete this lesson over the applications of quadratics
      15. Rate of Change
        1. Introduction to average rate of change 
      16. ​Completing the Square (1)  –Use the following instructional presentations for both assignments on Completing the Square
        1. Completing the Square 
        2. Worked Example: Completing the Square Intro  
      17. Completing the Square (2)
      18. Quadratic Formula (1) 
        1. How to Use the Quadratic Formula 
        2. Example: Quadratics in Standard Form 
        3. Proof of Quadratic Formula 
        4. Example 1 Using the Quadratic Formula 
      19. Quadratic Formula (2)
      20. Systems of Equations
        1. Solving Linear Quadratic Systems
        2. Solving Linear Quadratic Systems​
      21. Comparing Functions
        1. Comparing Functions Represented in Different Ways 
      22. Function Composition
        1. Function Composition
      23. Quiz 3: Solving Quadratic Equations
      24. Review
      25. Test
      26. Alternate Test
      27. Glossary and Credits
      UNIT 10 – RATIONAL EXPRESSIONS

      1. ​Simplifying Rational Expressions 
      2. Multiplying and Dividing Rational Expressions
      3. Adding and Subtracting with Like Denominators
      4. Adding and Subtracting with Unlike Denominators
      5. Quiz 1: Operations with Rational Expressions
      6. Proportions 
      7. Using the LCD 
      8. Complex Fractions – Exercises
      9. Inequalities (The student will use the video presentation directly in the lesson for this work)
      10. Applications of Rational Equations 
      11. More Problems 
      12. Quiz 2: Rational Equations and Inequalities
      13. Review
      14. Test
      15. Alternate Test
      16. Glossary and Credits

      UNIT 11 – PROBABILITY AND STATISTICS

      1. ​Measures of Central Tendency
      2. Dispersion 
      3. ​Interpreting Data
      4. Statistical Relationships
      5. Quiz 1: Measures of Central Tendency
      6. Sampling and Outcomes
      7. Permutations 
      8. Combinations 
      9. Quiz 2: Outcomes
      10. Probability 
      11. Compound Events 
      12. Two-Way Frequency Tables
      13. Quiz 3: Probability
      14. Review
      15. Test
      16. Alternate Test
      17. Glossary and Credits

      UNIT 12 – SEMESTER REVIEW AND EXAM 

      1. Review
      2. Exam
      3. Alternate Exam—Form A
      4. Alternate Exam—Form B

      UNIT 13 – FINAL EXAM

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