Georgia Unified Math study plan

Translate linear word problems into slope-intercept and standard form, then solve for a named variable without a calculator.

Solve multi-step linear equations and inequalities (including compound inequalities) and graph the solution set on a number line.

Rearrange literal equations and formulas to isolate any single variable, including variables appearing on both sides.

Build a one-page error log that classifies every missed item by cause (algebra slip, misread, concept gap).

Factor quadratics with leading coefficient 1 and greater than 1, and select the fastest method (grouping, difference of squares, quadratic formula).

Solve quadratic equations by factoring, completing the square, and the quadratic formula, and interpret the discriminant to predict the number of real solutions.

Simplify polynomial and rational expressions, including adding, multiplying, and reducing rational expressions with monomial and binomial denominators.

Apply exponent rules (product, quotient, power, negative, and rational exponents) fluently in multi-step simplification.

Solve systems of two linear equations by substitution, elimination, and graphing, and identify inconsistent and dependent systems from their equations.

Set up and solve systems modeling real contexts (mixtures, ticket sales, break-even) and check answers against the original scenario.

Apply the laws of exponents and radicals to rewrite expressions in equivalent forms, including rationalizing denominators and simplifying radical expressions.

Convert between radical and rational-exponent notation and evaluate numeric expressions with rational exponents without a calculator.

Identify domain and range from equations, tables, and graphs, including restricted domains from denominators and even roots.

Evaluate and interpret function notation, including composite functions and simple inverse functions for linear and one-to-one cases.

Sketch and compare parent functions and their transformations (shifts, stretches, reflections) for linear, quadratic, absolute value, and exponential families.

Distinguish linear, quadratic, and exponential growth from tables and contexts, and justify the choice in writing.

Apply the Pythagorean theorem and distance formula in coordinate and real-world contexts, including checking whether a triangle is right.

Use congruence and similarity criteria to prove relationships, and set up and solve proportions from similar figures.

Compute area and volume of composite two- and three-dimensional figures, including circles, sectors, cylinders, cones, and spheres.

Derive and apply the slope criteria for parallel and perpendicular lines and write equations of lines through a given point.

Apply right-triangle trigonometry (sine, cosine, tangent) and the special angles to find missing sides and angles in applied problems.

Use angle relationships (parallel lines cut by a transversal, interior and exterior angles of polygons) to solve for unknown measures.

Compute and interpret mean, median, mode, range, and standard deviation, and explain how outliers shift each measure.

Read and construct two-way frequency tables and use them to compute joint, marginal, and conditional relative frequencies.

Distinguish and apply permutations, combinations, and the fundamental counting principle to decide which method a problem requires.

Compute probabilities of simple, compound, and conditional events, including the complement rule and independence tests.

Interpret scatter plots, fit lines of best fit, and describe association strength and direction in context.

Perform unit conversions and dimensional analysis, and reason about precision and appropriate units in multi-step problems.

Take two full-length timed practice tests under exam conditions and record raw scores by domain.

Rank your three weakest sub-skills from the practice data and re-drill them with targeted problem sets.

Rebuild your formula and concept sheets from memory and correct any gaps against your notes.

Simulate pacing: practice allocating time across domains so no single item consumes more than its share.