Pre-Algebra

Syllabus

Integers

  • Naming decimal places
  • Reading and writing Integers
  • Adding and subtracting Integers
  • Multiplying and dividing Integers

Decimals

  • Naming decimal places
  • Reading and writing decimal numbers
  • Rounding decimal numbers
  • Adding and subtracting decimal numbers
  • Multiplying and dividing decimal numbers

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

Algebraic Expressions

  • Variables and expressions
  • The order of operations
  • Evaluating expressions
  • The distributive property
  • Simplifying variable expressions

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

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

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

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

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

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

Sequences and Functions

  • Arithmetic Sequences
  • Geometric Sequences
  • Fibonacci Sequence
  • Functions
  • Linear Functions
  • Exponential Functions
  • Quadratic Functions
  • Direct and Inverse Variation

Probability

  • Probability
  • Experimental Probability
  • Theoretical Probability
  • The Fundamental Counting Principle
  • Permutations and Combinations
  • Independent and Dependent Events
  • Odds

Polynomials

  • Adding and subtracting polynomials
  • Multiplying a polynomial and a monomial
  • Multiplying binomials

Set Theory

  • Sets
  • Intersection and Union
  • Venn Diagrams