MTEL Math Elementary (68) study plan
MTEL Math Elementary (68) · Give each week a clear focus.
8 weeks · About 6 hours per week
Number Sense and Operations
Diagnose baseline by completing a timed 40-question mixed practice set and logging every error by cause (concept gap, careless slip, or pacing) rather than by topic label alone.
Build fluency with place value and whole-number operations by explaining regrouping, the distributive property, and order of operations in writing without referring to notes.
Convert between fractions, decimals, and percents by hand for 30 values and justify each conversion with a one-sentence reasoning statement.
Your checkpoint
A one-page error log with at least 25 diagnosed mistakes, each tagged with a cause and a specific corrective action.
Number Sense and Operations
Solve multi-step word problems involving fractions, ratios, and unit rates, showing the reasoning chain rather than only the final answer.
Apply divisibility rules, prime factorization, GCF, and LCM to simplify and compare values quickly under time pressure.
Distinguish when a problem calls for integer, fraction, decimal, or percent reasoning and select the strategy deliberately.
Your checkpoint
A 20-problem worked set on rational number operations, scored, with every wrong item rewritten correctly and annotated with the rule that was missed.
Patterns, Relations, and Algebra
Translate verbal relationships into algebraic expressions and equations, then reverse the process by writing a word problem for a given equation.
Identify and extend arithmetic, geometric, and pattern-based sequences, and state the general rule for each in words and symbols.
Solve one- and two-step linear equations and inequalities, and graph solution sets on a number line.
Your checkpoint
A pattern-and-equation portfolio of 15 items: 5 sequences with rules, 5 translations in each direction, and 5 equations solved with justification.
Patterns, Relations, and Algebra & Number Sense and Operations
Interpret linear functions across tables, graphs, equations, and verbal descriptions, and explain what the slope and intercept mean in context.
Connect proportional reasoning in Domain 1 to linear relationships in Domain 2 by solving the same problem both ways and comparing the reasoning.
Complete a timed 50-question mixed set spanning Domains 1 and 2 and analyze pacing per item type.
Your checkpoint
A half-length timed practice test (Domains 1-2) with a written analysis identifying your three weakest item types and a revised study priority list.
Geometry and Measurement
Classify two- and three-dimensional figures by their defining properties and explain why a given figure does or does not belong to a category.
Apply perimeter, area, surface area, and volume formulas to composite figures, and derive at least three of the formulas from simpler ones.
Convert within and across measurement systems, including metric prefixes and customary units, using dimensional analysis.
Your checkpoint
A formula reference sheet you construct yourself, with each formula accompanied by a worked example and a one-line derivation or justification.
Geometry and Measurement & Data Analysis, Statistics, and Probability
Solve problems involving angle relationships, similarity, congruence, and transformations, justifying each conclusion with a geometric property.
Compute and compare measures of center and spread, and select the appropriate measure for a given data distribution with justification.
Calculate theoretical and experimental probabilities, including compound events, and explain the difference between the two.
Your checkpoint
A 25-problem geometry-and-measurement set with full written justifications, plus a one-page summary of when to use mean, median, mode, and range.
Data Analysis, Statistics, and Probability
Read and critique data displays (histograms, box plots, scatterplots, circle graphs) by identifying misleading features and stating what each display does and does not show.
Design a small sampling or experiment scenario, then explain sampling bias and how to reduce it.
Apply the counting principle and simple combinations to probability problems and verify results by listing outcomes.
Your checkpoint
A data-analysis write-up of three constructed displays, each with a critique of at least three specific features and a corrected version.
Number Sense and Operations & Patterns, Relations, and Algebra & Geometry and Measurement & Data Analysis, Statistics, and Probability
Complete two full-length timed practice tests under exam conditions and score them against the domain weightings (25% each).
Re-teach your five weakest concepts aloud or in writing as if explaining to a student, which surfaces residual gaps.
Finalize a one-page condensed review sheet covering formulas, rules, and recurring error patterns across all four domains.
Your checkpoint
Two scored full-length practice tests with a final error log showing that no previously logged error pattern recurs in the second attempt.
Milestones
Week 2: Score at least 80% on a 20-question Domain 1 set, with no more than one error attributable to a concept gap rather than pacing or carelessness.
Week 4: Score at least 75% on the half-length Domains 1-2 timed test and demonstrate correct reasoning on every missed item when reworked untimed.
Week 6: Correctly justify at least 20 of 25 geometry and measurement problems in writing, including units and the property used.
Week 8: Score at least 80% overall on both full-length practice tests with balanced performance across all four domains, and show zero repeat of previously logged error patterns.