In the first segment, Algebra 1 A focuses on simplifying expressions and solving equations, allowing us to take a complex situation and make it simple. Linear, exponential and polynomial functions can be represented verbally, numerically, graphically, and analytically to understand patterns and relationships. Linear, quadratic, and exponential relationships are algebraic functions, which allow us to organize data and make decisions in our world. Simplifying expressions and solving equations allows us to take a complex situation and make it simple.

In the second segment, Algebra 1 B teaches that algebraic representation can be used to generalize patterns and relationships. Radicals can be used effectively and efficiently to quantify and interpret discrete information. Simplifying expressions and solving equations allows us to take a complex situation and make it simple. Linear, quadratic, and exponential relationships are algebraic functions which allow us to organize data and make decisions in our world.

 

PRE-REQUISITES: Pre-Algebra recommended

ESTIMATED COMPLETION TIME: For both segments 32-36 weeks or approximately 125 – 135 hours

 

MAJOR TOPICS AND CONCEPTS — SEGMENT A

Equation Solving and Inequalities

  • Symbols and Simplifying Expressions
  • Solving Equations
  • Solving Equations with Variables on Both Sides
  • Solving Equations and Formulas
  • Solving One-Step Inequalities
  • Using the Properties Together to Solve Inequalities
  • Writing Equations
  • Proportion

Functions

  • Functions
  • Forms of Linear Equations
  • Graphing Linear Equations
  • Slope
  • Intercepts
  • Parallel and Perpendicular Lines
  • Graphing Linear Inequalities
  • Writing Equations

Solving Systems Linear Equations and Inequalities

  • Solving Systems of Equations by Graphing
  • Substitution Method
  • Addition Method
  • Solving Systems of Inequalities
  • Application of Solving Systems of Equations
  • Application of Solving Systems of Inequalities

Probability and Central Tendency

  • Measures of Central Tendencies
  • Stem and Leaf Plots and Histograms
  • Box and Whisker Plots
  • Scatter Plots
  • Probability and Odds
  • Permutations and Combinations

MAJOR TOPICS AND CONCEPTS — SEGMENT B

Exponents and Radicals

  • Product and Quotient Rules
  • Power Rule, Zero Rule, and Negative Exponents
  • Radicals
  • Simplifying Radicals with Variables
  • Multiplication of Radicals
  • Division of Radicals
  • More Work with Radicals

Polynomials

  • Polynomials
  • Adding and Subtracting Polynomials
  • Multiplying a Monomial and Polynomial
  • Multiplying Binomials
  • Multiplying Polynomials
  • Difference of Two Squares

Quadratic Equations

  • Factoring Out a Common Term
  • Factoring Using the Difference of Two Squares
  • Factoring Trinomials
  • More Practice with Factoring
  • Solving Quadratic Equations by Factoring
  • Solving Quadratics by the Quadratic Equation

Radical Expressions

  • Simplifying Radical Expressions
  • Multiplying Radical Expressions
  • Dividing Radical Expressions
  • Adding and Subtracting Radical Expressions with Like Denominators
  • Adding and Subtracting Radical Expressions with Unlike Denominators
  • Solving Radical Equations

 

LINKS TO FULL COURSE CURRICULUM MAPS

SEGMENT A

SEGMENT B