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Algebra 1 Syllabus

  1. 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
  2. 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
  3. 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
  4. Proportions and Percent’s
    • Solving proportions
    • Percent word problems
    • Percent change
  5. Linear Equations and Inequalities
    • Slope
    • Slope-intercept form
    • Standard form
    • Point-slope form
    • Graphing linear equations
    • Writing linear equations
    • Parallel and perpendicular lines
    • Graphing absolute value equations
    • Graphing linear inequalities
  6. Trigonometry
    • · Finding trig. ratios
    • · Using trig. ratios to find angles
    • · Using trig. ratios to find distances
  7. Systems of Equations and Inequalities
    • Solving systems of equations by graphing
    • Solving systems of equations by substitution
    • Solving systems of equations by elimination
    • Graphing systems of inequalities
    • Systems of equations word problems
  8. 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
  9. 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
  10. 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
  11. Radical Expressions
    • Simplifying radical expressions
    • Adding and subtracting radical expressions
    • Multiplying radical expressions
    • Dividing radical expressions
    • Solving radical equations
  12. Rational Expressions
    • Simplifying rational expressions
    • Multiplying and dividing rational expressions
    • Dividing polynomials
    • Adding and subtracting rational expressions
    • Solving rational equations

Stay-Ahead™ Reading

  • Novice (6th Grade)
  • Intermediate (7th Grade)
  • Proficient (8th Grade)
  • Advanced (9th Grade)
  • Superior (10th Grade)

Stay-Ahead™ Writing

  • Novice (6th Grade)
  • Intermediate (7th Grade)
  • Proficient (8th Grade)
  • Advanced (9th Grade)
  • Superior (10th Grade)

Stay-Ahead™ Mathematics

  • Mathematics Core
  • Pre-Algebra
  • Algebra 1
  • Algebra 2
  • Geometry

Standardized Tests

  • SAT
  • PSAT
  • DukeTIP SAT
2011 Algebra I. SAT is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product. ACT is a registered trademark of ACT, Inc. PSAT/NMSQT is a trademark jointly owned by the College Board and the National Merit Scholarship Corporation, which were not involved in the production of, and do not endorse, this product. None of the trademark holders are affiliated with Ramana Coaching Center or this website.
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