WEST-E Middle Level Mathematics (NES 203) study plan
WEST-E Middle Level Mathematics (NES 203) · Give each week a clear focus.
8 weeks · About 6 hours per week
Mathematical Processes and Number Sense
Compute fluently with rational numbers in all four operations, including signed fractions, decimals, and integers, without a calculator
Convert between fractions, decimals, and percents and order a mixed set of rational numbers on a number line
Apply divisibility rules, prime factorization, GCF, and LCM to solve multi-step number-theory problems
Classify numbers within the real number system (natural, whole, integer, rational, irrational) and justify each classification
Your checkpoint
A 25-question self-made number-sense quiz scored at 80% or higher, with every missed item rewritten and re-solved correctly
Mathematical Processes and Number Sense & Patterns, Algebra, and Functions
Solve ratio, rate, proportion, and percent-application problems (tax, tip, discount, percent change) using at least two methods each
Explain and apply the properties of operations and order of operations to simplify multi-step numerical expressions
Translate verbal statements into algebraic expressions and equations, including consecutive-integer and age-type setups
Identify and correct common procedural errors in worked number-sense solutions
Your checkpoint
A written error-analysis log of 10 worked problems (your own or textbook) identifying the exact step where reasoning failed and the corrected solution
Patterns, Algebra, and Functions
Simplify polynomial expressions and factor quadratics by GCF, trinomial, and difference-of-squares methods
Solve linear equations and inequalities, including compound and absolute-value inequalities, and graph solution sets on a number line
Solve systems of two linear equations by graphing, substitution, and elimination, and interpret the solution graphically
Apply exponent rules and perform operations with scientific notation
Your checkpoint
A one-page reference sheet of algebra procedures you built yourself, plus 20 practice problems solved with full work shown
Patterns, Algebra, and Functions
Determine slope, intercepts, and equations of lines from graphs, tables, two points, and word contexts
Distinguish linear from nonlinear relationships and identify domain and range from graphs and equations
Evaluate and compose functions using function notation, including inverse functions for simple linear cases
Model a real-world scenario with a linear or quadratic function and interpret the parameters in context
Your checkpoint
A timed 30-minute, 15-question algebra and functions mini-test scored at 75% or higher
Measurement and Geometry
Convert within and between metric and customary units using dimensional analysis, including multi-step conversions
Compute perimeter, area, surface area, and volume of standard two- and three-dimensional figures, choosing the correct formula
Apply the Pythagorean theorem and distance formula to solve geometric and real-world problems
Classify figures and angle relationships (parallel lines and transversals, triangle congruence criteria) and justify conclusions
Your checkpoint
A formula sheet with a worked example for each formula, plus 15 mixed measurement problems solved with units carried throughout
Measurement and Geometry & Statistics, Probability, and Discrete Mathematics
Perform and justify transformations (translation, rotation, reflection, dilation) on the coordinate plane and describe their effects on coordinates
Compute and interpret scale factors, similar-figure proportions, and indirect measurement problems
Calculate mean, median, mode, range, and interquartile range and choose the appropriate measure for a given data set
Read and construct displays (histogram, box plot, scatter plot) and describe shape, center, spread, and association
Your checkpoint
A geometry-and-data portfolio of 12 problems spanning transformations, similarity, and statistics, each with a written justification of the chosen method
Statistics, Probability, and Discrete Mathematics
Compute theoretical and experimental probabilities for simple, compound, and conditional events, including with and without replacement
Apply the fundamental counting principle and permutations and combinations to counting problems
Interpret probability models, expected value, and the law of large numbers in context
Solve introductory discrete-mathematics problems involving sequences, series, and simple graph or network ideas
Your checkpoint
A 20-question probability and discrete-math quiz scored at 80% or higher, with a written explanation for every answer
Mathematical Processes and Number Sense & Patterns, Algebra, and Functions & Measurement and Geometry & Statistics, Probability, and Discrete Mathematics
Integrate all four domains by solving mixed-topic problems under timed conditions without reference materials
Diagnose remaining weak areas from practice-test error patterns and target the top three with focused review
Practice explaining solution strategies in writing, as required by the mathematical-processes strand
Build and rehearse a personal test-day pacing and strategy plan
Your checkpoint
A full-length timed practice exam (all four domains) with a written remediation plan for each domain scoring below 75%
Milestones
Week 2: Score 80% or higher on the number-sense quiz and submit a complete error-analysis log covering all missed items
Week 4: Score 75% or higher on the timed algebra and functions mini-test and produce the self-built formula and procedure reference sheet
Week 6: Complete the geometry-and-data portfolio with written justifications and score 75% or higher on a mixed measurement-and-statistics check
Week 8: Achieve 75% or higher overall on the full-length timed practice exam with no domain below 70%, and submit the domain-by-domain remediation plan