MCAS Grade 10 Math study plan

Solve multi-step linear equations and inequalities, including ones with variables on both sides, and graph the solution set on a number line.

Rearrange literal equations and common formulas to isolate any specified variable, then substitute values back to check.

Solve systems of two linear equations by substitution and by elimination, and classify the result as one solution, no solution, or infinitely many.

Interpret slope and intercept of a linear model in a real context and use the model to predict a value, stating whether the prediction is interpolation or extrapolation.

Apply integer exponent rules, including zero and negative exponents, to simplify and rewrite expressions in equivalent forms.

Add, subtract, and multiply polynomials, and factor quadratics with a leading coefficient of 1 and greater than 1.

Solve quadratic equations by factoring, completing the square, and the quadratic formula, and justify which method is most efficient for a given equation.

Complete the square to rewrite a quadratic in vertex form and connect the result to the vertex and axis of symmetry on the graph.

Explain why the discriminant determines the number and type of real solutions.

Evaluate and interpret function notation, including contextual readings such as f(3) representing a specific output.

Distinguish linear, quadratic, and exponential growth patterns from tables, graphs, equations, and verbal descriptions, and justify the classification.

Determine domain and range from a graph and from a context, and state reasonable restrictions on the domain.

Write a function that models a real situation and explain the meaning of each parameter in context.

Identify key features of a graph (intercepts, maximum or minimum, increasing and decreasing intervals, end behavior) and sketch the graph from an equation.

Apply and describe the effects of transformations of the form f(x) + k, f(x + k), and a·f(x) on a parent graph.

Compute and interpret the average rate of change of a function over a specified interval.

Write arithmetic and geometric sequences both recursively and with an explicit formula, and connect each to a linear or exponential function.

Perform and describe rigid motions and dilations on the coordinate plane, giving the coordinates of image points.

Justify triangle congruence using SSS, SAS, ASA, AAS, and HL, and carry that reasoning through multi-step problems.

Apply the similarity criteria AA, SSS~, and SAS~ to set up proportions and find missing lengths.

Solve problems using the Pythagorean theorem and the special right triangles 30-60-90 and 45-45-90.

Solve right-triangle problems using sine, cosine, tangent, and their inverse functions, selecting the correct ratio from a diagram.

Apply circle relationships involving central angles, inscribed angles, arc length, and sector area.

Compute the volume of cylinders, cones, spheres, and composite solids, and work backward from a volume to a missing dimension.

Write the equation of a circle and use completing the square to recover its center and radius.

Read two-way frequency tables and compute joint, marginal, and conditional relative frequencies, then interpret them in context.

Distinguish correlation from causation and evaluate whether a linear model is an appropriate fit for a scatter plot.

Fit and interpret a linear model for bivariate data, explaining slope and intercept in context and flagging extrapolation.

Compute probabilities of compound events using the addition rule and the concept of independence, and use simulation to estimate a probability.

Compare distributions using mean, median, shape, spread, and outliers, and justify which summary best describes the data.

Simplify radical and rational-exponent expressions and determine whether a result is rational or irrational, with justification.

Apply unit conversions and dimensional analysis, and report quantities with an appropriate level of precision.

Complete a full-length released MCAS practice test under timed conditions and record the domain of every missed item.

Analyze error patterns across all five domains and rework each missed item to full correctness with a written explanation.