TExES Math 4-8 (115) study plan

Distinguish and extend arithmetic, geometric, and figurate patterns by writing both recursive and explicit rules for each

Translate verbal and tabular situations into algebraic expressions, equations, and inequalities, then solve and check them

Solve multi-step linear equations and inequalities, including those with variables on both sides and with rational coefficients

Graph linear equations and interpret slope and intercepts within a real-world context

Solve systems of two linear equations by graphing, substitution, and elimination, and classify systems as consistent, inconsistent, or dependent

Apply exponent rules and factor or expand polynomial expressions, including multiplying binomials and factoring quadratics

Solve quadratic equations by factoring, completing the square, and the quadratic formula, and relate solutions to x-intercepts

Classify triangles and apply angle-sum, exterior-angle, and congruence/similarity criteria to justify claims about figures

Derive and apply perimeter, area, surface-area, and volume formulas for polygons, circles, prisms, cylinders, pyramids, cones, and spheres

Convert within and between measurement systems and judge the reasonableness of a measurement result

Apply the Pythagorean theorem and distance and midpoint formulas in coordinate geometry problems

Predict and describe the results of translations, reflections, rotations, and dilations on coordinates and on side lengths and angles

Compare how middle-grade students acquire number, algebra, and geometric concepts according to developmental progressions, and match tasks to readiness levels

Design a short lesson segment that uses concrete, representational, and abstract representations in sequence

Select and justify formative assessment strategies that surface student misconceptions rather than just right answers

Analyze a student work sample to name the misconception and prescribe an instructional next step

Order, compare, and compute with rational numbers in fraction, decimal, and percent form, and justify each step

Solve proportional reasoning problems, including scale, unit rate, and percent change, using multiple strategies

Apply integer operations, order of operations, and number-theory concepts such as primes, factors, multiples, and divisibility

Express numbers in scientific notation and apply exponent rules to multiplication and division of powers

Compute and interpret mean, median, mode, range, and interquartile range, and choose the measure best suited to a data set

Construct and read circle graphs, histograms, box plots, and scatter plots, describing shape, center, spread, and outliers

Calculate experimental and theoretical probabilities for simple and compound events, including complements and independent events

Revisit the number-concepts error log and re-solve every previously missed item correctly

Apply Polya-style problem-solving steps to unfamiliar multi-step problems and write the justification for each step

Connect mathematical ideas across domains by showing how one problem can be solved via algebraic, geometric, and statistical reasoning

Explain how mathematical communication, representation, and reasoning standards shape what a correct answer must include

Identify key historical and structural developments in mathematics and their role in how topics are sequenced in the curriculum

Take two timed full-length practice tests under exam conditions and record per-domain accuracy

Rank your three weakest domains by error count and re-teach each with targeted practice sets

Review the accumulated error logs from all prior weeks and confirm each error type is resolved

Rehearse pacing and constructed-response planning so each item gets a time budget