Praxis 5003 study plan
Praxis 5003 · Give each week a clear focus.
8 weeks · About 6 hours per week
Numbers and Operations
Compute fluently with whole numbers using standard algorithms for all four operations, including multi-digit multiplication and long division
Explain place-value relationships across whole numbers and decimals to the thousandths
Apply divisibility rules, factors, multiples, GCF, and LCM to simplify and solve problems
Convert between fractions, mixed numbers, and improper fractions and order them on a number line
Your checkpoint
A 25-item self-made quiz on whole-number operations and fraction equivalence, scored and corrected with written explanations for every miss
Numbers and Operations
Add, subtract, multiply, and divide fractions and mixed numbers and justify each step with a visual model
Convert fluently among fractions, decimals, and percents and compare values across forms
Solve ratio, rate, and unit-rate problems using tables, tape diagrams, and double number lines
Apply integer operations and order of operations to multi-step numeric expressions
Your checkpoint
One-page visual reference sheet showing fraction-decimal-percent equivalences plus worked examples of ratio and integer problems
Algebraic Thinking
Translate verbal statements into algebraic expressions and equations and back again
Simplify expressions by combining like terms and applying the distributive property
Solve one- and two-step equations and inequalities and interpret the solution set on a number line
Identify and extend arithmetic and geometric patterns and write a rule for the nth term
Your checkpoint
A set of 15 word problems you write yourself, each paired with its equation, worked solution, and a sentence explaining what the variable represents
Algebraic Thinking
Graph linear relationships from tables, equations, and verbal descriptions and interpret slope and intercepts in context
Solve proportion and percent application problems including tax, tip, discount, and markup
Model real-world situations with equations and check the reasonableness of solutions
Distinguish proportional from non-proportional relationships in tables, graphs, and equations
Your checkpoint
Two original multi-step modeling tasks with graphs, equations, and a written justification of the reasonableness of each answer
Geometry and Measurement
Classify two- and three-dimensional figures by their defining attributes and properties
Compute perimeter, circumference, area, and surface area for standard figures and justify each formula
Solve problems involving angle relationships including complementary, supplementary, vertical, and triangle sums
Perform and reverse unit conversions within and across customary and metric systems
Your checkpoint
A formula card with a labeled diagram and a one-sentence derivation for each area, surface area, and volume formula
Geometry and Measurement
Compute volume of prisms, cylinders, pyramids, and cones and select the appropriate formula for a given context
Plot and interpret points in all four quadrants and apply transformations and coordinate geometry concepts
Solve measurement problems involving elapsed time, scale drawings, and similar figures
Distinguish which measurement attribute (length, area, volume, surface area) a context requires
Your checkpoint
A 20-item mixed geometry and measurement quiz with every item tagged by the attribute it tests (length, area, volume, or surface area)
Data Analysis, Statistics, and Probability
Compute and compare mean, median, mode, and range and select the measure best suited to a given data set
Read, construct, and interpret bar graphs, line plots, histograms, box plots, and scatter plots
Determine the probability of simple and compound events using sample spaces, trees, and counting
Distinguish correlation from causation and identify misleading features in data displays
Your checkpoint
A one-page statistical report on a data set you gather or invent, including two displays, all four measures of center and spread, and a written interpretation
Numbers and Operations & Algebraic Thinking & Geometry and Measurement & Data Analysis, Statistics, and Probability
Take two full-length timed practice tests under exam conditions and record section-by-section accuracy
Categorize every missed item by error type (conceptual, procedural, or misread) into a written error log
Re-teach the three highest-frequency error categories using fresh self-made practice items
Build a one-page condensed review sheet covering the four domains for final recall
Your checkpoint
A completed error log with at least 20 analyzed misses and a personalized one-page final review sheet
Milestones
Week 2: Score at least 80% on a self-made 20-item Numbers and Operations set without notes; if below 80%, schedule a targeted re-drill before moving to Algebra.
Week 4: Solve 10 mixed Numbers/Algebra word problems at 80% accuracy with every solution showing the equation used and the meaning of the variable.
Week 6: Recall all area, surface area, and volume formulas from memory and apply them correctly in 8 of 10 applied measurement items.
Week 8: Score at or above 75% on each full-length timed practice test and show a downward trend in repeated error categories from the error log.