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Math

Algebra 1 Part 2

In this second semester of Algebra 1, topics covered include exponents, radicals, and radical expressions, exponential functions, polynomials, quadratic functions and equations, and statistics and data analysis. These are all topics that are covered on typical standardized tests, such as the SAT and the ACT. Algebra 1 is approved by the University of California A-G as mathematics (category C).

Upon completion of this course, the student is awarded 5 credits. Each credit corresponds to 15 hours of study. Of course, some students work more quickly than others, and some can devote more hours to study, so some students are able to complete the course at an accelerated rate.

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LEARNING OBJECTIVES

In this course, students gain a comprehension of the following:

• Exponents, radicals, and rational expressions, including simplifying and performing operations

• Exponential functions, including growth, decay, and sequences

• Polynomial operations, factoring techniques, and simplifying rational expressions

• Quadratic functions, including graphing and solving equations using multiple methods

• Comparing linear, quadratic, and exponential models

• Statistics and data analysis, including representing data and interpreting relationships

TOPICS COVERED

  1. Multiplication Properties of Exponents
  2. Division Properties of Exponents
  3. Zero and Negative Exponents
  4. Perfect Squares and Cubes
  5. Simplifying Radical Expressions
  6. Rational and Radical Multiplication and Division
  7. Rational and Radical Addition and Subtraction
  8. Rates of Change in Exponential Functions
  9. Writing and Graphing Exponential Models
  10. Exponential Growth
  11. Exponential Decay
  12. Linear vs Exponential
  13. Arithmetic Sequences
  14. Geometric Sequences
  15. Adding and Subtracting Polynomials
  16. Multiplying Polynomials
  17. Special Products of Binomials
  18. Factoring by Greatest Common Factor (GCF)
  19. Factoring Quadratic Trinomials
  20. Factoring Special Products
  21. Dividing Rational Polynomials
  22. Introduction to Quadratic Functions and Equations
  23. Graphing Quadratic Functions
  24. Solving Quadratic Equations by Graphing
  25. Solving Quadratic Equations by Factoring
  26. Solving Quadratic Equations by Using Square Roots
  27. Solving Quadratic Equations by Completing the Square
  28. The Quadratic Formula
  29. The Discriminant
  30. Systems of Linear-Quadratic Equations
  31. Comparing Linear, Quadratic, and Exponential Models
  32. Quantitative and Qualitative Data
  33. Measures of Center and Spread
  34. Representing Univariate Data
  35. Two-Way Frequency Tables
  36. Scatterplots and Linear Relationships
  37. Trend Lines and Interpreting Linear Models
  38. Line of Best Fit and Evaluating Linear Models

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