Grade 8 Mathematics study plan

Apply the distributive property and combine like terms to simplify multi-term linear expressions without errors.

Solve two-step and multi-step linear equations with rational coefficients, checking each solution by substitution.

Translate short word problems into one-variable equations and justify each step in the solution process.

Classify and correct common errors such as sign slips when moving terms across the equals sign.

Solve equations with variables on both sides, including cases with no solution or infinitely many solutions.

Rearrange literal equations and formulas to isolate a specified variable.

Solve and graph one-variable inequalities, reversing the inequality sign when multiplying or dividing by a negative.

Explain how the structure of an equation reveals the number of solutions it has.

Determine whether a relation given as a table, set of ordered pairs, or graph represents a function.

Identify slope and y-intercept from equations, tables, and graphs, and interpret them in context.

Graph linear functions from slope-intercept and standard form by hand and verify with a second point.

Write the equation of a line given two points, a point and a slope, or a real-world description.

Compare properties of two functions represented in different ways, such as a table versus an equation.

Construct a function model for a linear real-world situation and use it to make a prediction.

Solve systems of two linear equations by graphing and by substitution, and check the solution point.

Distinguish linear from nonlinear functions by inspecting rates of change in tables and graphs.

Apply the Pythagorean theorem to find missing side lengths and to determine whether a triangle is right.

Derive and use the distance formula between two points on the coordinate plane.

Solve volume problems for cylinders, cones, and spheres, keeping answers in terms of pi when appropriate.

Apply transformations-translations, reflections, rotations, and dilations-to figures on the coordinate plane and describe the effect on coordinates.

Classify numbers as rational or irrational and place them approximately on a number line.

Convert between fractions and repeating decimals, and estimate irrational square roots between consecutive integers.

Apply exponent rules for products, quotients, and powers, including negative and zero exponents.

Express very large and very small quantities in scientific notation and compute with them.

Construct and interpret scatter plots, describe association, and sketch a line of best fit to make predictions.

Compute and compare measures of center and spread, and describe how outliers affect each measure.

Calculate unit rates and solve multi-step percent problems including tax, tip, markup, and percent change.

Use proportional reasoning to solve scale drawing and similar-figure problems.

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

Rank domains by accuracy and re-teach the two weakest with targeted worked examples.

Build a one-page formula and concept sheet from memory, then verify it against notes.

Practice error-log review to convert recurring mistakes into a short personal checklist.