Praxis 7813 Elementary Education: Mathematics CKT Exam Preparation Course

About This Praxis 7813 Course

Prepare confidently for the Praxis 7813 Elementary Education: Mathematics CKT exam with a focused online preparation course designed for aspiring elementary teachers. The course develops your understanding of elementary mathematics while strengthening your ability to apply that knowledge to authentic teaching situations.

Lessons, guided examples, practice activities, and detailed explanations help you analyze student thinking, recognize common misconceptions, evaluate mathematical representations, and select examples that support specific learning objectives.

Praxis 7813 Exam Overview

According to the official Praxis 7813 test information, the computer-delivered assessment contains 52 questions and has a testing time of 85 minutes. It includes selected-response and numeric-entry questions, and an on-screen four-function calculator is provided.

The assessment contains 47 one-point questions and five two-point questions. Approximately 20% of the exam evaluates your ability to complete mathematics similar to the work found in the elementary curriculum. The remaining 80% measures specialized mathematical knowledge for teaching.

Understanding Mathematics Content Knowledge for Teaching

CKT means Content Knowledge for Teaching. Praxis 7813 does not assess only whether you can calculate a correct answer. It also evaluates whether you can use mathematical knowledge to perform important teaching tasks.

You may be asked to interpret a student’s error, identify the strategy a student used, choose a helpful representation, create an example that meets a particular objective, or evaluate different explanations of the same concept.

Praxis 7813 may be taken independently or as the mathematics component of the official Praxis 7811 Elementary Education: Content Knowledge for Teaching assessment.

Counting and Operations With Whole Numbers

Number Sense and Counting

Develop a strong understanding of counting principles, quantities, number relationships, and the structure of the whole-number system. Review one-to-one correspondence, cardinality, skip counting, numerical order, and different ways to represent quantities.

Practice evaluating number lines, counters, arrays, drawings, equations, and other models used to communicate elementary mathematical ideas.

Addition and Subtraction

Review the meanings and structures of addition and subtraction, including joining, separating, comparing, and part-part-whole situations.

You will examine mental strategies, estimation, properties of operations, place-value methods, standard algorithms, and common student errors. Teaching scenarios help you determine whether a strategy is mathematically valid and whether it can be generalized.

Multiplication and Division

Strengthen your understanding of equal groups, arrays, repeated addition, area models, multiplicative comparison, sharing, and measurement interpretations of division.

Practice selecting models and word problems that represent different multiplication and division structures. You will also analyze student approaches involving partial products, repeated subtraction, and the distributive property.

Place Value and Decimals

Base-Ten Concepts

Review how the base-ten number system represents quantities using units, tens, hundreds, thousands, and greater place values. Topics include composing and decomposing numbers, regrouping, expanded notation, comparing numbers, rounding, and identifying the value of individual digits.

You will learn to interpret student work involving base-ten blocks, place-value charts, number lines, and written algorithms.

Decimal Numbers

Develop your understanding of tenths, hundredths, and the relationship between decimals, fractions, and whole numbers. Practice reading, writing, comparing, ordering, rounding, and representing decimal quantities.

Lessons also address decimal addition and subtraction, place-value misconceptions, and the use of visual models to explain why decimal procedures work.

Fractions, Fraction Operations, and Ratios

Understanding Fractions

Review fractions as parts of a whole, measures, quotients, operators, and points on a number line. Learn to use area models, set models, fraction strips, and number lines to represent fractional quantities.

You will practice identifying equivalent fractions, comparing fractions, generating examples, and recognizing common misunderstandings involving numerators, denominators, and fraction size.

Operations With Fractions

Strengthen your understanding of addition, subtraction, multiplication, and division involving fractions. The course emphasizes conceptual explanations and visual representations in addition to computational procedures.

Practice analyzing student strategies, selecting appropriate models, and explaining why common algorithms produce correct results.

Ratios and Proportional Reasoning

Review ratios, rates, equivalent ratios, multiplicative relationships, and introductory proportional reasoning. Learn to distinguish multiplicative comparisons from additive comparisons and evaluate tables, diagrams, double number lines, and classroom situations involving ratios.

Early Equations and Expressions

Equality, Variables, and Expressions

Develop your understanding of the equal sign as a statement of equivalence rather than a signal to calculate. Review variables, expressions, equations, unknown quantities, number sentences, and the properties of operations.

Practice diagnosing misconceptions such as treating the equal sign as meaning “the answer comes next.” You will also evaluate examples designed to build relational thinking.

Patterns and Algebraic Reasoning

Analyze numerical and geometric patterns, identify rules, describe relationships, and determine whether a pattern can be generalized. Learn how tables, diagrams, equations, and verbal descriptions can represent the same mathematical relationship.

Measurement and Geometry

Measurement Concepts

Review length, perimeter, area, surface area, volume, mass, capacity, time, temperature, angles, and unit conversions. Learn to distinguish measurable attributes and choose appropriate tools and units.

Practice identifying errors caused by incorrect unit iteration, inappropriate formulas, or confusion between perimeter, area, and volume.

Geometric Reasoning

Strengthen your understanding of points, lines, angles, polygons, circles, and three-dimensional figures. Review classification, attributes, symmetry, congruence, similarity, coordinate grids, transformations, and spatial reasoning.

Teaching scenarios help you evaluate definitions, examples, nonexamples, and student claims about geometric figures.

Mathematical Representations and Student Thinking

Develop your ability to connect concrete models, drawings, tables, number lines, equations, and verbal explanations. You will learn when a representation supports a mathematical objective and when it may introduce confusion.

The course also emphasizes interpreting patterns in student errors. Rather than simply identifying an incorrect answer, you will determine the reasoning that may have produced it and select an appropriate next instructional step.

Praxis 7813 Calculator and Test Strategies

Praxis 7813 provides an on-screen four-function calculator. Review the official Praxis calculator-use guidelines before test day and practice deciding when calculator use is efficient.

The course teaches you to estimate before calculating, check whether results are reasonable, identify important information, eliminate unsupported choices, and manage selected-response and numeric-entry questions effectively.

Original Praxis-style questions include detailed explanations showing why each correct answer works and why competing choices may reflect mathematical or instructional misunderstandings. Timed practice helps you manage the 85-minute testing period.

Flexible Online Praxis Preparation

Study at your own pace using organized lessons, examples, practice activities, and progress checks. Use your results to identify weak areas and return to challenging mathematical concepts whenever necessary.

You can access additional AIProctoredExams study guides, review how the preparation platform works, explore the related Praxis 7001 Elementary Education course, or browse other Praxis exam preparation courses.

Praxis 7813 Passing-Score Information

Passing requirements vary by state and licensing agency. Before registering, confirm that your state accepts Praxis 7813 and review the official Praxis score requirements.

Independent Test-Preparation Disclaimer

AIProctoredExams is an independent test-preparation provider and is not affiliated with, endorsed by, or sponsored by ETS. Praxis is a registered trademark of ETS. All lessons, study materials, and practice questions are independently developed and do not contain live examination questions.