Praxis Middle School Math study materials
Praxis Middle School Math study resources

Praxis Middle School Math study plan

Praxis Middle School Math · Give each week a clear focus.

8 weeks · About 7 hours per week

Week 1

Numbers and Operations

  • Compute fluently with fractions, decimals, and mixed numbers without a calculator

  • Convert among fractions, decimals, and percents and order a mixed list from least to greatest

  • Solve percent problems in all three forms (find the part, the whole, and the percent) including percent increase and decrease

  • Set up and solve proportions, including scale-factor and unit-rate problems

  • Apply the order of operations and integer rules to multi-step numeric expressions

Your checkpoint

A 30-question timed set (35 minutes) on rational number operations and percents, scored and corrected, with every miss rewritten as a worked solution

Week 2

Numbers and Operations & Algebra

  • Classify numbers within the real number system and apply divisibility, prime factorization, LCM, and GCF

  • Evaluate and simplify expressions involving integer exponents, square roots, and cube roots

  • Convert between standard form and scientific notation and compute with numbers in scientific notation

  • Translate verbal statements into algebraic expressions and equations

  • Combine like terms and apply the distributive property to simplify algebraic expressions

Your checkpoint

A one-page error log covering all missed items from weeks 1-2, sorted by error type (concept, computation, misread), plus a 15-question re-quiz on the two most frequent error types

Week 3

Algebra

  • Solve multi-step linear equations, including those with variables on both sides and with fractions

  • Solve and graph linear inequalities, reversing the inequality symbol correctly when multiplying or dividing by a negative

  • Compute slope from a graph, from two points, and from an equation, and interpret slope and intercepts in context

  • Write the equation of a line given a graph, a point and a slope, or two points

  • Solve systems of two linear equations by substitution and by elimination

Your checkpoint

A hand-drawn reference sheet of 12 worked examples (one per skill listed) that you can solve from memory, verified against a self-made answer key

Week 4

Algebra

  • Apply the exponent rules for multiplication, division, and powers of powers to simplify monomial expressions

  • Add, subtract, and multiply polynomials, including binomial products

  • Factor quadratic expressions and solve quadratic equations by factoring

  • Identify key features of linear and quadratic functions from tables, equations, and verbal descriptions

  • Distinguish a function from a non-function using tables, graphs, and mapping

Your checkpoint

A 25-question algebra cumulative test under 40 minutes with a score of at least 80 percent, plus a list of the three skills to revisit in week 8

Week 5

Geometry and Measurement

  • Compute perimeter, area, and volume of triangles, quadrilaterals, circles, prisms, cylinders, and composite figures

  • Apply the Pythagorean theorem and its converse to find missing side lengths and to classify triangles

  • Compute surface area of prisms and cylinders and explain the difference between surface area and volume

  • Convert within and between metric and customary units using dimensional analysis

  • Use angle relationships (vertical, complementary, supplementary, parallel-line transversals, and triangle angle sum) to find unknown measures

Your checkpoint

A 20-question geometry set plus a labeled diagram page showing each formula used, with unit labels checked on every answer

Week 6

Data, Statistics, and Probability

  • Compute mean, median, mode, range, and interquartile range from a data set and choose the appropriate measure for a given context

  • Read and interpret histograms, box plots, scatter plots, and two-way tables to describe a data set

  • Compute simple and compound probabilities for single and compound events, including with and without replacement

  • Distinguish theoretical from experimental probability and explain sources of discrepancy

  • Select and justify an appropriate sampling method and identify bias in a described study

Your checkpoint

A constructed-response write-up of three multi-part data and probability problems, each answered in full sentences with the reasoning shown

Week 7

Mathematical Processes and Applications & Algebra

  • Decompose multi-step word problems into given information, unknown, and a solution plan before computing

  • Model real-world situations with equations, tables, and graphs and interpret the result in context

  • Justify a solution method in writing and check whether an answer is reasonable for the situation

  • Complete a mixed 40-question set drawn from all five domains, tracking accuracy by domain

  • Identify and correct the two lowest-accuracy domains from the mixed set

Your checkpoint

A domain-by-domain accuracy table from the mixed set with a written remediation plan naming the specific skills to drill before week 8

Week 8

Numbers and Operations & Algebra & Geometry and Measurement & Data, Statistics, and Probability & Mathematical Processes and Applications

  • Complete two full-length timed practice tests under exam conditions with no notes

  • Review every missed item and classify each error as content, strategy, or careless

  • Re-drill the three weakest skills identified in weeks 4, 6, and 7

  • Memorize the formula sheet items you are not given on test day (area, volume, surface area, statistics) via spaced recall

  • Finalize a pacing plan that allocates time per question and builds in a review pass

Your checkpoint

Two completed practice tests with scores, both error analyses, and a one-page final review sheet of the 15 facts and formulas you most often missed

Milestones

Week 2: Score at least 80 percent on the week 1-2 rational numbers and expressions re-quiz, and have a populated error log with at least three error types documented

Week 4: Score at least 80 percent on the 25-question algebra cumulative test and correctly solve all 12 reference-sheet examples from memory

Week 6: Complete the three multi-part data and probability problems with correct final answers and written justification for each step

Week 7: Achieve at least 70 percent overall on the mixed 40-question set with no single domain below 60 percent

Week 8: Score at least 80 percent on both full-length practice tests and submit the final one-page review sheet