Mathematical Reasoning: Free Sample Lesson

Try a Mathematical Reasoning lesson with worked examples, practice questions and explanations.

Getting started

  • How this course works
  • What is on the GED Maths test

Whole numbers and integers

  • Place value and rounding
  • Order of operations
  • Negative numbers
  • Operations with integers
  • Absolute value
  • Factors and multiples
  • Estimation and reasonable answers

Fractions and decimals

  • What fractions mean
  • Mixed numbers
  • Adding and subtracting fractions
  • Multiplying and dividing fractions
  • Decimals and place value
  • Operations with decimals
  • Converting fractions and decimals
  • Comparing and ordering numbers

Exponents, roots and scientific notation

  • Exponents
  • Exponent rules
  • Square and cube roots
  • Scientific notation

Ratios and percents

  • Ratios
  • Rates and unit rates
  • Proportions
  • Scale drawings and maps
  • Percent basics
  • Percent problems
  • Percent change
  • Discounts, tax, and tips
  • Simple interest

Geometry

  • Units and conversions
  • Perimeter and area
  • Circles
  • Composite shapes
  • The Pythagorean theorem
  • Volume of prisms and cylinders
  • Surface area
  • Cones, pyramids, and spheres
  • Using the formula sheet

Data and probability

  • Tables and charts
  • Bar, line and circle graphs
  • Dot plots, histograms and box plots
  • Mean, median, mode and range
  • Weighted averages and missing values
  • Probability
  • Compound events and counting
  • Scatter plots and two-variable data

Algebraic expressions

  • Variables and expressions
  • Evaluating expressions
  • Like terms and the distributive property
  • Adding and subtracting polynomials
  • Multiplying polynomials
  • Factoring
  • Rational expressions

Equations and inequalities

  • One-step and two-step equations
  • Multi-step equations
  • Word problems to equations
  • Formulas and literal equations
  • Inequalities
  • Systems of equations
  • Quadratic equations

Graphs and functions

  • The coordinate plane
  • Slope
  • Slope-intercept form
  • Writing equations of lines
  • Functions and function notation
  • Comparing functions
  • Nonlinear functions

Test skills and practice exams

  • Using the TI-30XS calculator
  • Test strategies
  • Practice exam 1
  • Practice exam 2

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