AK STAR Math Grade 9 study plan

Classify numbers as rational or irrational and justify each classification with a written reason (terminating, repeating, or non-repeating decimal).

Convert between fractions, terminating decimals, and repeating decimals, including multi-digit repeating patterns.

Apply the laws of integer exponents to simplify expressions with negative and zero exponents.

Perform multiplication and division in scientific notation and choose appropriate units for real-world magnitudes.

Estimate the value of irrational square and cube roots to one decimal place without a calculator and verify with a calculator check.

Simplify radical expressions by extracting perfect-square and perfect-cube factors, and rewrite radicals using rational exponents.

Solve multi-step linear equations with variables on both sides, including equations with parentheses, fractions, and decimals.

Solve and graph one-variable inequalities, and explain when the inequality symbol reverses.

Translate a two- or three-sentence word problem into an equation or inequality and identify what the variable represents.

Solve systems of two linear equations by graphing, substitution, and elimination, and select the most efficient method for a given system.

Add, subtract, and multiply polynomials, and divide a polynomial by a monomial.

Factor quadratic expressions using greatest common factor and trinomial factoring with a leading coefficient of 1.

Solve quadratic equations by factoring and interpret the solutions in context.

Set up and solve a system of equations from a real-world scenario with two unknown quantities.

Evaluate and interpret function notation, including composite-style inputs such as finding the input that produces a given output.

Determine domain and range from equations, tables, graphs, and verbal descriptions in realistic contexts.

Compute average rate of change over an interval from a table or graph and compare it to the slope of a linear function.

Graph linear functions from slope-intercept, standard, and point-slope forms, and identify parallel and perpendicular relationships.

Compare two functions presented in different representations and justify which grows faster with evidence.

Apply translations, reflections, rotations, and dilations to figures on the coordinate plane and state the coordinates of the image.

Use the distance formula and the Pythagorean theorem to find lengths on the coordinate plane, and connect both to the slope of a segment.

Determine whether two figures are congruent or similar using transformation sequences, and write the sequence in order.

Model a geometric situation with a linear function and use the model to answer a question about a missing dimension.

Apply volume formulas for cylinders, cones, and spheres to solve multi-step problems.

Identify angle relationships formed by parallel lines cut by a transversal and solve for missing angle measures algebraically.

Use similarity criteria to prove two triangles similar and solve for unknown side lengths with proportions.

Apply the Pythagorean theorem and its converse in two- and three-dimensional figures to classify triangles and find diagonals.

Distinguish between volume and surface area in word problems and select the correct formula for each.

Explain why a dilation preserves angle measure but not side length.

Construct and interpret scatter plots, and describe the association as positive, negative, or none, and as linear or nonlinear.

Draw a line of best fit by hand, write its equation, and use it to predict a value while noting the limits of extrapolation.

Read and complete two-way frequency tables, and compute joint, marginal, and conditional relative frequencies.

Interpret the slope and intercept of a linear model in the context of the data it describes.

Compute simple probabilities from tables and describe how sample selection affects whether results generalize.

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

Re-work every missed problem from weeks 1 through 7 and classify each error as conceptual, procedural, or misread.

Rebuild the formula and rule reference sheet from memory and compare it against the corrected version.

Select the three weakest subskills from the score tracker and drill each with 10 targeted problems.

Practice pacing by completing a 15-question set in 20 minutes with no more than two unanswered items.