GED 023 - AEP GED Mathematics

• Read, write, compare, and estimate whole numbers to the billions and decimals to the thousandths using real life examples.
• Add, subtract, multiply, and divide whole numbers and solve multi-step contextualized word problems.
• Read, write, and compare benchmark fractions. Add, subtract, multiply, and divide fractions, and apply to real life applications.
• Add, subtract, multiply, and divide decimals, including money, and apply to multi-step word problems.
• Convert fractions to decimals and percents, and use percents in a contextualized setting including tax, tip, interest, banking, paychecks, commission, and percent change.
• Read and interpret bar, line, and circle graphs, and communicate results in writing.
• Use data and statistics including mean, median, mode, and range in contextualized setting.
• Add, subtract, multiply, and divide negative and positive numbers, using correct order of operations. Evaluate one- and two-step equations and use simple algebraic formulas such as interest, distance, volume, and circumference.
• Accurately measure using both the stand and metric systems, and make simple conversion within and between systems as applicable to contextualized themes.
• Use ratio and proportions and apply to problem solving.
• Apply geometric concepts including lines, area perimeter, volume, polygons, and circles to contextualize Problem solving.
• Produce clear and complete written solutions.
• Interpret the concept of a variable as an unknown quality.
• Translate statements written in English into algebraic expressions or equations.
• Perform operations with signed numbers using contextuaiized word Problems.
• Apply the order of operations algorithm to algebraic expressions.
• Solve linear equations (single-step to four-step) and inequalities using a vertical format.
• Evaluate and solve nonlinear equations with a focus on quadratics.
• Apply the commutative, associative and distributive properties.
• Evaluate algebraic expressions and formulas.
• Solve formulas for a specified variable.
• Solve basic applications problems algebraically.
• Represent and interpret information numerically, algebraically, and graphically.
• Create linear graphs given an equation or data points.
• Interpret the concept of slope both graphically and symbolically.
• Find slopes given graphs, equations, or data points.
• Interpret data using mean, median, mode, and range in contextualized situations.
• Solve arithmetic and algebraic ratio and percentage multi-step word problems.
• Use algebraic formulas to solve geometric word problems: area, perimeter, volume, surface area, and circumference.
• Apply geometric concepts of lines, angles, polygons, triangles, Pythagorean Theorem, and circles to real life applications.
• Use a scientific calculator appropriately.
• Write clear, complete solutions to mathematical problems, including connect notation, and written explanations when appropriate.

1. Quantitative reasoning
   • Positive and negative numbers
   • Decimals
   • Fractions
   • Ratios
   • Prportions
   • Percentile>
   • Data and statistics
   • Geometric measurement
2. Algebraic reasoning
   • Expressions
   • Polynomials
   • Equations
   • Inequalities
   • Linear equations
   • Quadratic equations
   • Patterns and functions
   • Evaluating, solving, and graphing skills