NYSTCE Math CST study plan
NYSTCE Math CST · Give each week a clear focus.
8 weeks · About 6 hours per week
Mathematical Processes and Applications & Number and Quantity
Diagnose baseline by completing a timed 40-question mixed practice set across all five domains and logging percent correct by domain
Translate each of the four Mathematical Processes strands (problem solving, reasoning and proof, communication, connections/representation) into a one-sentence action you will apply while solving
Solve 15 multi-step word problems involving rational number operations, unit rates, and proportional reasoning, showing all setup work
Build a personal error log template with columns for problem type, mistake category (conceptual, procedural, misread), and corrective rule
Your checkpoint
A completed diagnostic score sheet plus an error log containing at least 20 categorized entries from week 1 practice
Mathematical Processes and Applications & Number and Quantity
Compute fluently with integers, fractions, decimals, and percents, including percent increase/decrease and percent error, without a calculator for 30 problems
Apply number-theory concepts (divisibility, prime factorization, GCF/LCM) to solve at least 10 contextual problems
Convert between fraction, decimal, percent, and scientific notation forms and justify each conversion in writing
Practice translating a verbal relationship into an equation or proportion before solving, for 12 problems
Your checkpoint
A 25-problem self-made quiz on number and quantity with a worked solution key and a score of at least 80%
Mathematical Processes and Applications & Algebra and Functions
Solve and graph linear equations and inequalities in one variable, including compound inequalities, and interpret solution sets in context
Identify slope, intercepts, and domain/range from equations, tables, and verbal descriptions of linear functions
Model 10 real-world scenarios with linear functions and explain the meaning of slope and intercept in each
Classify a function as linear, quadratic, or exponential from a table of values and justify the classification
Your checkpoint
A one-page modeling portfolio of 8 real-world linear models, each with equation, graph sketch, and interpretation of slope and intercept
Algebra and Functions
Factor and expand quadratic expressions and solve quadratic equations by factoring, completing the square, and the quadratic formula
Analyze quadratic functions in vertex, standard, and factored forms, identifying vertex, axis of symmetry, and intercepts
Compare linear, quadratic, and exponential growth using tables and graphs and explain when each model fits
Apply function notation and evaluate composite and inverse relationships for simple functions
Your checkpoint
A timed 20-question algebra and functions quiz scored at 75% or higher, with every missed item reworked and explained in the error log
Geometry and Measurement
Apply perimeter, area, surface area, and volume formulas for polygons, circles, prisms, cylinders, pyramids, cones, and spheres to multi-step problems
Use the Pythagorean theorem and distance formula to solve problems and to classify triangles
Apply similarity and congruence criteria, scale factors, and proportional reasoning to find unknown lengths and areas
Perform transformations (translation, rotation, reflection, dilation) on the coordinate plane and describe their effects on coordinates
Your checkpoint
A formula reference sheet you wrote yourself plus 20 solved geometry problems covering area, volume, similarity, and transformations
Geometry and Measurement & Statistics and Probability
Solve problems involving angles formed by parallel lines and transversals and by polygons, including interior and exterior angle sums
Compute and interpret measures of center and spread (mean, median, mode, range, IQR, standard deviation conceptually) for data sets
Construct and interpret displays including histograms, box plots, and scatterplots, and describe association and correlation versus causation
Compute basic probabilities for independent, dependent, and conditional events and use the complement rule
Your checkpoint
A statistics and geometry problem set of 25 items with a written justification for each interpretation question, scored at 80% or higher
Statistics and Probability & Mathematical Processes and Applications
Design and analyze a simulation or sample space to estimate probability and compare experimental with theoretical results
Evaluate sampling methods and identify sources of bias in study design, including the role of randomization
Interpret normal-distribution reasoning qualitatively using the empirical rule and z-score concepts
Solve multi-step problems that combine statistics with proportional reasoning and justify each step in writing
Your checkpoint
A written analysis of a fictional survey or experiment identifying design flaws, bias sources, appropriate statistics, and a corrected design
Mathematical Processes and Applications & Number and Quantity & Algebra and Functions & Geometry and Measurement & Statistics and Probability
Complete two full-length timed practice tests under exam conditions and record domain-level scores for each
Rework every missed item from both tests and classify each error by category in the error log
Review the error log and write a one-page summary of your three most frequent error patterns with a corrective strategy for each
Drill your weakest two domains with 30 targeted problems drawn from your own error patterns
Your checkpoint
A final readiness report showing both practice test scores, a domain-by-domain comparison to your week 1 diagnostic, and a written remediation plan for remaining weak areas
Milestones
Week 2: Score at least 80% on the self-made number and quantity quiz and show at least 20 categorized error-log entries
Week 4: Score at least 75% on the timed algebra and functions quiz, with all missed items reworked and explained
Week 6: Score at least 80% on the combined geometry and statistics problem set with written justifications complete
Week 8: Average at least 75% across two full-length timed practice tests with no single domain below 65%