GED Math: Lessons & Preparation Route
Short lessons, worked examples, and practice that connects.
Numbers that stay in balance
Use signed numbers and fractions to describe a quantity before deciding which operation is needed. A negative sign can describe a position, a change, or an operation; those roles are related but not interchangeable.
Rates, recipes and unit labels
A rate describes how much of one quantity corresponds to one unit of another. The units belong to the number: dollars per item is a different rate from items per dollar.
Budgets, discounts and percent change
Percent means a number out of one hundred, but a percent calculation is incomplete until you identify its base. A discount is measured against the original price; a later tax may use a different base.
Translate a situation before calculating
An expression describes a calculation without asserting equality. Variables keep the same meaning throughout a model, so define what each letter measures before simplifying.
Find the unknown in a practical equation
An equation says two expressions have the same value. Solving identifies values that preserve that equality, rather than merely moving symbols across a page.
Budgets and whole-number constraints
An inequality describes many possible values. A real-world condition such as a whole number of purchases can reduce that set to a smaller collection.
Read a relationship in a table or rule
A function pairs each allowed input with one output. A linear rule combines a starting amount with a constant change per input unit. Tables, graphs and equations can express that same relationship.
Two conditions, one shared solution
A system uses two relationships to describe the same unknown quantities. Its solution must satisfy both, so a result that fits only the total count is incomplete.
Quadratics: roots, values and context
A quadratic relationship includes a squared term. A value of the function, an input where it equals zero, and the minimum or maximum of its graph answer different questions.
Measure shapes by breaking them apart
Area measures a surface and volume measures space. A diagram is useful only after you identify which lengths are known and which geometric relationships are actually given.
Summaries that answer the actual question
The mean uses the total of all observations, while the median uses their order. A frequency table describes repeated observations, so each category may contribute more than once to a total.
Count the sample space before probability
Probability compares favorable outcomes with a clearly defined set of possible outcomes. Counting is a model: equal likelihood must be stated or justified before using a simple fraction.
Order, distance and location
Separate a signed location from a nonnegative distance.
Powers, roots and scientific scale
Read a rational exponent as a root followed by a power.
Packaging, cycles and number structure
A greatest common factor partitions quantities into equal whole groups with nothing left.
Curved boundaries and composite areas
Match a formula to the quantity being measured.
Surfaces, capacity and missing dimensions
Surface area counts exposed faces; volume counts filled space.
Read bars, bins, boxes and scatter points
A display packages information but does not choose the statistic for you.
Recover missing information from summaries
A summary can constrain missing data without revealing every observation.
Count choices and account for overlap
The same people can be chosen with or without distinct roles.
Products, factors and rational restrictions
Expanding and factoring reveal different parts of an expression.
Coordinate geometry and related lines
Parallel nonvertical lines share a slope, while perpendicular nonvertical lines have slopes whose product is negative one.
Choose a quadratic method and interpret the result
Completing a square turns a quadratic expression into a squared binomial plus a constant.
Functions as rules with conditions
A function permits one output for each input, although several inputs may share an output.
Foundation pilot, not full GED Mathematical Reasoning coverage.