Algebra 1

Syllabus

The Basics

  • Variable and verbal expressions
  • The order of operations
  • Evaluating expressions
  • Adding integers
  • Subtracting integers
  • Multiplying and dividing integers
  • Adding and subtracting rational numbers
  • Multiplying and dividing rational numbers
  • The distributive property
  • Simplifying variable expressions

Equations

  • Solving one-step equations
  • Solving two-step equations
  • Solving multi-step equations with variables on one side
  • Solving multi-step equations with variables on both sides
  • Absolute value equations
  • Mixture word problems
  • Distance – rate – time word problems
  • Work word problems

Inequalities

  • Inequalities and their graphs
  • Solving one-step inequalities by adding or subtracting
  • Solving one-step inequalities by multiplying or dividing
  • Solving two-step inequalities
  • Solving multi-step inequalities with variables on one or both sides
  • Compound inequalities
  • Absolute value inequalities

Proportions and Percent’s

  • Solving proportions
  • Percent word problems
  • Percent change

Polynomials

  • Naming polynomials by degree and number of terms
  • Adding and subtracting polynomials
  • Multiplying polynomials
  • Multiplying special case polynomials
  • Factoring out the GCF
  • Factoring trinomials with a = 1
  • Factoring trinomials with a ≠ 1
  • Factoring special case polynomials
  • Factoring by grouping

Linear Equations and Inequalities

  • Finding trig. ratios
  • Using trig. ratios to find angles
  • Using trig. ratios to find distances

Exponents

  • Zero and negative exponents
  • Exponents and multiplication (the product property)
  • Exponents and division (the quotient property)
  • Powers of products and quotients
  • Reading and writing scientific notation
  • Operations with numbers in scientific notation

Quadratic Functions

  • Graphing quadratic functions
  • Solving quadratic equations by taking square roots
  • Solving quadratic equations by factoring
  • Solving quadratic equations with The Quadratic Formula
  • Solving quadratic equations by completing the square
  • Finding the value that completes the square
  • Using and understanding the discriminant

Radical Expressions

  • Simplifying radical expressions
  • Adding and subtracting radical expressions
  • Multiplying radical expressions
  • Dividing radical expressions
  • Solving radical equations

Rational Expressions

  • Simplifying rational expressions
  • Multiplying and dividing rational expressions
  • Dividing polynomials
  • Adding and subtracting rational expressions
  • Solving rational equations