Praxis 7813 at a glance: credential, format, time limit,
question count, calculator policy and how the outline compares to what is here.
Detail
Praxis 7813
In TeachDayOne
Credential
Elementary Education: Content Knowledge for Teaching — Mathematics (Grades K–6)
Outline transcribed from the published Study Companion
Format
Selected response and numeric entry
Selected response and numeric entry
Time limit
85 minutes
Untimed practice, plus a timed full-length run
Questions on the test
52
63 practice questions
Competencies
4 content areas
43 competencies, each with at least one question
Calculator
Provided — an on-screen four-function calculator is supplied (not a graphing calculator)
No calculator is used for grading
Delivery
Computer Delivered
Works in any browser, offline, on a phone
Content topics align with the NCTM Principles and Standards and the Common Core State Standards for Mathematical Practice, the standards frameworks the ETS outline was derived from.
ICounting and Operations with Whole Numbers16 questions · 30%
Counts and skip counts whole numbers between 0 and 1,000
Connects counting to cardinality
Demonstrates understanding of one-to-one correspondence between numbers and objects being counted
Subitizes (recognizes small quantities by sight)
Identifies relationships between counting and the concept of larger and smaller numbers (i.e., that sets with higher counts are larger than sets with smaller counts)
Demonstrates understanding of representations of addition, subtraction, multiplication, and division (including objects such as manipulatives, drawings, and diagrams) and relates these representations of operations to expressions and equations
Solves mathematical and real-world problems involving the four operations, including solving problems by using properties of operations
6. Evaluating mathematical problems for how well they elicit a particular idea, support the use of a particular solution strategy or practice, fit a particular mathematical structure, address the same concept as another problem, or assess a particular student conception or error
13. Determining whether student work demonstrates the use of a particular mathematical idea or strategy
14. Determining whether a strategy is mathematically valid or generalizable
15. Interpreting a student’s mathematical error, including anticipating how it would replicate across similar problems, and choosing other work samples that demonstrate the same error
IIPlace Value and Decimals13 questions · 25%
Demonstrates a conceptual understanding of the value of the digits in a number
Compares multidigit and decimal numbers
Rounds multidigit and decimal numbers
Composes and decomposes multidigit numbers into groupings and understands why grouping and ungrouping are helpful in performing operations on multidigit and decimal numbers
Uses drawings and objects such as manipulatives to represent place value, relating these drawings and objects to numerical equations and written descriptions
2. Evaluating mathematical explanations for their validity, generalizability, explanatory power, and/or completeness
3. Determining the changes that would improve the validity, generalizability, completeness, and/or precision of a mathematical explanation
11. Selecting, creating, or evaluating representations or manipulatives for a mathematical purpose or to show a particular mathematical idea
16. Identifying tasks or situations in which student work or talk that seems mathematically valid might mask incorrect thinking
IIIFractions, Operations with Fractions, and Ratios13 questions · 25%
Demonstrates understanding of fractions as part-whole relationships, as multiples of unit fractions, as numbers, and as ratios, moving back and forth flexibly among these conceptualizations
Demonstrates understanding of characteristics of fractions that are less than one, equal to one, and greater than one
Demonstrates understanding of equipartitioning and that it is a building block for understanding fractions as part-whole relationships
Demonstrates understanding of fraction equivalence
Uses a variety of strategies for comparing fractions
Performs operations such as addition, subtraction, multiplication, and division with fractions as well as with fractions and whole numbers, understanding and using different strategies for these operations and building intuition about how the operations work (e.g., recognizing that multiplying a whole number by a fraction that is less than one makes the product smaller)
Demonstrates understanding of applications of operations on fractions (e.g., scaling)
1. Giving mathematically valid explanations for a process, conjecture, or relationship
4. Evaluating a student conjecture for its validity and/or generalizability on a given domain
8. Evaluating examples for how well they introduce a concept; illustrate an idea or relationship; illustrate the appropriateness of a strategy, procedure, or practice; or address particular student questions, misconceptions, or partial conceptions
12. Evaluating how representations or manipulatives have been used to show particular mathematical ideas, relationships between ideas, mathematical processes, or strategies in a text, talk, or written work
IVEarly Equations and Expressions, Measurement, and Geometry10 questions · 20%
Demonstrates understanding of what it means for algebraic terms, expressions, and equations to be considered equivalent, how the equal sign is used to represent relational equivalence, and that equations maintain their equivalence status under certain algebraic manipulations
Determines whether equations are true, identifies the missing values that would make them true, solves equations using the four operations, and solves relational statements by substitution
Follows the standard order of operations (including the use of parentheses and the distributive property of multiplication over addition)
Describes measurable attributes of objects; compares two objects with a common measurable attribute; chooses appropriate measurement tools and uses the tools to take measurements
Calculates and estimates perimeter, area, volume, and measurements of angles in mathematical and real-world problems; converts between measurement units
Demonstrates understanding of shapes and their attributes; classifies two-dimensional figures based on properties
Composes and decomposes shapes; draws shapes based on specific attributes such as number of angles and number of equal faces
Demonstrates understanding of lines, line segments, rays, and angles in two-dimensional figures
5. Evaluating mathematical definitions or other mathematical language for precision, validity, generalizability, usefulness in a particular context, and/or support for an instructional goal
7. Writing mathematical problems that fit a particular solution strategy or mathematical structure
9. Generating or identifying nonexamples or counterexamples to highlight a mathematical distinction or to demonstrate why a student conjecture is incorrect or partially incorrect
10. Choosing which mathematical topics are most closely related to a particular instructional goal
About the outline above. The content
categories and competency titles on this page are transcribed verbatim from
the official ETS Praxis Elementary Education: Mathematics CKT Study Companion. Practice items
marked ETS in the app are also transcribed, with ETS's own answer
rationales.
What test day is actually like
If you have not sat a Elementary Education: Mathematics CKT test before, the part that
unnerves people is usually not the content. It is not knowing what you are
walking into. Here is the actual shape of it.
52Questions
85 minutesTime limit
Computer DeliveredDelivery
Provided — an on-screen four-function calculator is supplied (not a graphing calculator)Calculator
Selected response and numeric entryFormat
That works out to about 1 minute 38 seconds per question.It is the pacing, not the difficulty, that catches people out. Most
candidates lose marks by grinding one hard item and running out of time
on easy ones later. Answer the ones you know first, mark the rest, and
come back with whatever is left.
The content is split into 4 sections, weighted
like this:
Counting and Operations with Whole Numbers16 questions, 30% of the test
Place Value and Decimals13 questions, 25% of the test
Fractions, Operations with Fractions, and Ratios13 questions, 25% of the test
Early Equations and Expressions, Measurement, and Geometry10 questions, 20% of the test
What TeachDayOne gives you for 7813
63 practice questions covering every competency on the outline, with explanations for right and wrong answers.
A worked curriculum for all 43 competencies: key terms, worked examples, and the traps the exam is known for.
A self-test that reports accuracy per competency, not one opaque number.
Progress you can actually see, broken down by content category so you know what to study next.
Offline and mobile. Install to your home screen; it works without a connection.
Nothing to sign up for. No account, no advertising, and no premium tier to be moved to later.
If you are bad at maths, read this first. Anxiety about maths is a
strong predictor of general test anxiety for teacher candidates, and it
pulls down performance on subjects you are otherwise fine in. Two things
help. First, the Progress tab breaks your accuracy down by competency, so
you can see exactly which Elementary Education: Mathematics CKT topics are costing you and which
are already fine. Second, nothing here is timed while you learn it, so the
first pass through is about the ideas, not the clock. Pacing comes later,
on purpose.
How to actually study for this
The research on how people learn is consistent on one point: the method
that works best is the one that feels least like studying. It is also the one
anxious test-takers skip, which is why the practice here is built to be easy
to start and impossible to fail.
Do not just reread.Reading over material feels like studying and is the weakest use of your time. Recognition is not recall, and the exam asks you to recall.
Answer questions from memory, then check.Retrieval practice, meaning self-testing, is one of the best-evidenced study methods there is. It beats rereading, restudying, and rereading your notes.
Read the explanation either way.Right or wrong, the explanation is where the learning happens. Wrong answers especially: those are the ones you got lucky on.
Come back tomorrow.Spacing beats cramming. The same hour split across five days is worth more than five hours on one night.
Sit one timed run before test day.Full length, timed, no pausing. Pacing is a skill and it is learned by doing, not by thinking about doing.
One reassurance worth having. Practice questions in this app are not the
real exam, and your score on them is not your Praxis score. Use them to find
the competencies you do not know yet. That is the whole job.
Praxis 7813 Elementary Education: Mathematics CKT: questions and answers
How many questions are on the Praxis Elementary Education: Mathematics CKT (7813) exam?
The official test is 52 questions in 85 minutes. Selected response and numeric entry. It is computer delivered, and a calculator is provided — an on-screen four-function calculator is supplied (not a graphing calculator). TeachDayOne is built against that exact structure.
How many free practice questions does TeachDayOne have for 7813?
63 questions for this exam: 0 transcribed from ETS and 63 written against the official content outline, every one labelled in the app so you always know which is which. All 43 competencies on the outline have at least one question.
What content does the Praxis 7813 exam cover?
It is divided into 4 content categories: Counting and Operations with Whole Numbers (30%), Place Value and Decimals (25%), Fractions, Operations with Fractions, and Ratios (25%), Early Equations and Expressions, Measurement, and Geometry (20%). The full competency outline is listed on this page and is broken down, taught and quizzed inside the app.
Is TeachDayOne really free? Is there a paywall?
Yes, and permanently. There is no account, no trial, no card and no premium tier. Progress is stored in your own browser. Signing in is optional and only adds cross-device sync.
Is this official ETS material?
No. TeachDayOne is an independent project and is not affiliated with or endorsed by ETS. Some outline text and sample items are transcribed from the published ETS Study Companion, which is why the app labels them as coming from ETS. Buy the official Study Companion and the free practice test you receive with test registration straight from ETS if you want the authoritative version.
Can I use it offline or on my phone?
Yes. It installs to the home screen on iOS and Android and runs offline via a service worker. Progress lives in local storage, so there is nothing to sign into and nothing to lose if you clear the app.
Can I see how I am doing by competency?
Yes. The Progress tab breaks your accuracy down by competency and content category, so it is clear which part of the outline to study next rather than just your overall percentage.
Does it use AI, and do I need an API key?
Ms. Kaya is an optional in-app tutor that is scoped to whichever competency you are reading, so it answers against the real outline instead of generic study advice. It is entirely optional: every question, explanation and self-test works without it. Bring your own key if you want to use it.