MTTC Mathematics (Elementary) (089) study plan

Inventory every elementary mathematics topic the exam can test (number and operations, fractions and decimals, ratios and proportional reasoning, algebraic thinking, geometry, measurement, data and statistics, probability) and rate personal confidence 1–5 for each to build a ranked gap list.

Re-derive the place-value structure of whole numbers and decimals and explain aloud why regrouping works across the decimal point.

Compute fluently with the four operations on multi-digit whole numbers and decimals, including long division with remainders expressed as fractions and decimals.

Build a one-page formula and definitions sheet in your own words covering place value, rounding, and order of operations.

Model fraction equivalence, comparison, and the four operations using area, length, and set representations, and justify each algorithm with a diagram.

Convert fluently among fractions, decimals, and percents and order mixed sets without a calculator.

Solve multi-step word problems involving fractions and mixed numbers, identifying the operation each step requires.

Diagnose and correct three common fraction misconceptions (for example adding numerators and denominators) by writing a corrected explanation for each.

Set up and solve ratio, rate, and proportion problems using tape diagrams, double number lines, and cross-multiplication, and explain when each method is appropriate.

Distinguish proportional from non-proportional relationships using tables, graphs, and equations.

Apply percent change, discount, tax, tip, and simple interest to realistic scenarios.

Identify the underlying structure in word problems that signals a proportional relationship rather than an additive one.

Translate verbal patterns into expressions and equations and evaluate them for given values.

Solve one- and two-step linear equations and inequalities and represent solution sets on a number line.

Interpret slope and intercept in context from a table, graph, and equation of a line.

Explain the meaning of a variable and of an equivalent expression using two different concrete examples.

Classify two- and three-dimensional figures by properties and identify relationships among them (for example quadrilaterals and their hierarchy).

Apply angle relationships, the Pythagorean theorem, and perimeter, area, surface area, and volume formulas to composite figures.

Perform and describe transformations on the coordinate plane and identify symmetry.

Sketch and label diagrams for geometry word problems before computing, to build the habit of representing before solving.

Convert within and across customary and metric units and justify unit choices for a given measurement task.

Compute elapsed time, temperature change, and multi-unit measurements in applied contexts.

Construct and interpret bar graphs, line plots, histograms, and circle graphs, and choose the appropriate display for a data set.

Compute and interpret mean, median, mode, range, and mean absolute deviation, and explain how outliers affect each.

Compute simple and compound probabilities for independent and dependent events using lists, tables, and tree diagrams.

Distinguish experimental from theoretical probability and explain sampling variability.

Combine measurement, geometry, and data skills in multi-step problems that mirror the exam's integrated item style.

Review the week 1 gap list and re-rate every topic, targeting only items still rated 3 or below.

Take two full-length timed practice tests and record pacing, accuracy by topic, and every recurring error pattern.

Re-teach the three weakest topics from scratch using your own notes and verify mastery with fresh problems.

Memorize and rehearse a personal test-day routine covering timing checkpoints, calculator or scratch-paper use, and how to skip and return to hard items.

Consolidate all reference sheets into a single final review document you can reread in under 30 minutes.