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Pre-Algebra

All the middle school students can take this course. We highly recommend this course to students who are targetting Talent Identification Programs like DukeTip.

Syllabus

  1. Integers
    • Naming decimal places
    • Reading and writing Integers
    • Adding and subtracting Integers
    • Multiplying and dividing Integers
  2. Decimals
    • Naming decimal places
    • Reading and writing decimal numbers
    • Rounding decimal numbers
    • Adding and subtracting decimal numbers
    • Multiplying and dividing decimal numbers
  3. Fractions and Mixed Numbers
    • Factoring
    • Greatest common factor (GCF)
    • Least common multiple (LCM)
    • Simplifying fractions
    • Changing between fractions and decimals
    • Adding and subtracting fractions / mixed numbers with like / unlike denominators
    • Multiplying and dividing fractions / mixed numbers
  4. Algebraic Expressions
    • Variables and expressions
    • The order of operations
    • Evaluating expressions
    • The distributive property
    • Simplifying variable expressions
  5. Equations
    • Solving one-step equations by adding or subtracting integers / decimals / fractions
    • Solving one-step equations by multiplying or dividing integers / decimals / fractions
    • One-step equation word problems
    • Solving two-step equations containing integers / decimals / fractions
    • Two-step equation word problems
    • Solving multi-step equations containing integers / decimals / fractions with variables on one or both sides
  6. Inequalities
    • Inequalities and their graphs
    • Solving one-step inequalities by adding or subtracting integers / decimals / fractions
    • Solving one-step inequalities by multiplying or dividing integers / decimals / fractions
    • Solving two-step inequalities containing integers / decimals / fractions
    • Solving multi-step inequalities containing integers / decimals / fractions with variables on one or both sides
  7. Factors, Fractions, and Exponents
    • Divisibility, factors, and factoring
    • Exponents and multiplication (the product property of exponents)
    • Exponents and division (the quotient property of exponents)
    • Powers of products and quotients
    • Reading and writing scientific notation
    • Multiplying numbers in scientific notation
  8. Ratios, Proportions, and Percent’s
    • Checking if fractions form a proportion
    • Solving proportions
    • Proportion word problems
    • Similar figures
    • Similar figure word problems
    • Converting between fractions, decimals, and percents
    • Percent word problems
    • Percent of change
    • Markup, tax, and discount
    • Simple and compound interest
  9. Linear Equations, Inequalities, and Systems
    • Plotting points
    • The midpoint formula
    • Finding slope
    • Slope-intercept form
    • Standard form of a linear equation
    • Writing linear equations
    • Graphing linear inequalities
    • Graphing systems of equations
    • Solving systems of equations by substitution
    • Systems of equations word problems
  10. Geometry
    • Drawing and measuring angles
    • Angle relationships and parallel lines
    • Triangles (classifying, using angle sum)
    • Quadrilaterals (classifying, using angle sum)
    • Transformations: Rotations
    • Transformations: Translations
    • Transformations: Reflections
    • Circles (circumference, area, radius, diameter, measuring)
    • Area of parallelograms
    • Area of triangles and trapezoids
    • Solid Figures
    • Classifying solids
    • Volume of prisms and cones
    • Volume of pyramids, cones, and spheres
    • Surface area of prisms and cones
    • Surface area of pyramids, cones, and spheres
    • Right Triangles
    • Square roots
    • The Pythagorean Theorem
    • The distance formula
  11. Sequences and Functions
    • Arithmetic Sequences
    • Geometric Sequences
    • Fibonacci Sequence
    • Functions
    • Linear Functions
    • Exponential Functions
    • Quadratic Functions
    • Direct and Inverse Variation
  12. Probability
    • Probability
    • Experimental Probability
    • Theoretical Probability
    • The Fundamental Counting Principle
    • Permutations and Combinations
    • Independent and Dependent Events
    • Odds
  13. Polynomials
    • Adding and subtracting polynomials
    • Multiplying a polynomial and a monomial
    • Multiplying binomials
  14. Set Theory
    • Sets
    • Intersection and Union
    • Venn Diagrams

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 Pre - Algebra. 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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