Praxis Middle School Math study plan
Praxis Middle School Math · Give each week a clear focus.
8 weeks · About 7 hours per week
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
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
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
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
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
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
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
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