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Praxis Core Academic Skills for Educators study guide

Praxis Core Academic Skills for Educators, administered by ETS (Educational Testing Service), is mapped here as 8 topic areas; the heaviest are Writing 5723 - Text Types, Purposes, and Production (15.6%), Mathematics 5733 - Number and Quantity (12.9%) and Reading 5713 - Key Ideas and Details (12.7%).

About this course: Practice reading, writing and mathematics with explained questions and recorded lessons. Essay practice is guided and unscored; numeric-entry skills use multiple-choice practice here. Confirm your program's required subtests and passing scores with the official provider.

Praxis Core Academic Skills for Educators at a glance

Questions
154
Time allowed
~275 min of testing across the combined session (85 + 100 + 90 min)
Passing standard
set by each STATE (or agency/program) per subtest, independently
Format
computer-delivered (test center OR at home)
Standard / edition
current 5713/5723/5733 series (successor to retired 5712/5722/5732), Study Companions as fetched 2026-07-06
Administered by
ETS (Educational Testing Service)

Source: current 5713/5723/5733 series (successor to retired 5712/5722/5732), Study Companions as fetched 2026-07-06, ETS (Educational Testing Service). Confirm current details with the exam owner before you book.

Topic areas and weights

Topic areaWeightConceptsGuide
Mathematics 5733 - Number and Quantity12.9%9Section below
Mathematics 5733 - Data Interpretation, Statistics and Probability11.6%2Section below
Mathematics 5733 - Algebra and Geometry11.6%2Section below
Writing 5723 - Text Types, Purposes, and Production15.6%0Section below
Writing 5723 - Language and Research Skills for Writing10.4%3Section below
Reading 5713 - Key Ideas and Details12.7%1Section below
Reading 5713 - Craft, Structure, and Language Skills10.9%1Section below
Reading 5713 - Integration of Knowledge and Ideas12.7%0Section below

Study plan in this course

  1. Arithmetic Foundations — order first, then fractions — 4 cards · free
  2. Percent, Ratio, and Rate — the retake driver — 5 cards · free
  3. Number Sense Toolbox — quick, prereq-free wins — 7 cards · free
  4. Central Tendency and Spread — what moves, what doesn't — 5 cards · free
  5. Inference, Models, and Probability — 6 cards · free
  6. Expressions and Linear Equations — 5 cards · full course
  7. Quadratics, Inequalities, Slope, and Word Problems — 4 cards · full course
  8. Geometry — Shapes, Circles, and Measurement — 5 cards · full course
  9. The Argumentative Essay — a plan beats polish — 4 cards · full course
  10. The Source-Based Essay — link, don't summarize — 3 cards · full course
  11. Grammar Core — agreement, pronouns, tense — 6 cards · full course
  12. Sentence Structure, Word Choice, and Research — 5 cards · full course
  13. Key Ideas and Details — Text-Supported Inference: Key Ideas and Details — the forced-vs-plausible bar — 4 cards · full course
  14. Craft and Structure — tone, pattern, function, meaning — 5 cards · full course
  15. Integration of Knowledge and Ideas — the deepest Reading skills — 6 cards · full course
  16. Reading Deeper — explicit, implicit, sequence, cause — 7 cards · full course
  17. Craft and Structure — connotation, genre, tone shift — 6 cards · full course
  18. Integration, Refined — graphics, sufficiency, rhetoric — 7 cards · full course
  19. Essay Foundations — thesis, counterargument, evidence, cohesion — 4 cards · full course
  20. Essay Execution — attribution, timing, closing, the pre-submit check — 4 cards · full course
  21. Regulatory (Dynamic) — What Changes, and How to Stay Current — 7 cards · full course

Mathematics 5733 - Number and Quantity

Mathematics 5733 - Number and Quantity carries 12.9% of the Praxis Core Academic Skills for Educators blueprint used in this course, the second-largest of its 8 weighted areas. It spans 9 concepts. The course teaches it in 3 study units: Arithmetic Foundations — order first, then fractions, Percent, Ratio, and Rate — the retake driver and Number Sense Toolbox — quick, prereq-free wins.

What Mathematics 5733 - Number and Quantity covers

  • Order of operations: multiplication and division have equal rank; addition and subtraction have equal rank. — ETS Study Companion 5733, Content Topics I + Algebra discussion
  • Fraction of a fraction = multiply. — Study Companion 5733 discussion questions
  • Mixed number <-> improper fraction: a b/c = (a*c + b)/c. — Study Companion 5733 discussion questions
  • Percent = per hundred: p% of N = (p/100) x N. — Study Companion 5733, I.C
  • Percent change = (new − old) ÷ old × 100; use the original value as the base. — Study Companion 5733 discussion questions
  • Constant rate: rate = amount / time; distance = rate x time. — Study Companion 5733, I.D
  • Ordering fractions/decimals on the number line, including negatives. — Study Companion 5733 discussion questions
  • Counterexamples: ONE case that breaks a claim disproves it. — Study Companion 5733, I.G
  • Sets & Venn diagrams: intersection = elements in BOTH sets. — Study Companion 5733 discussion questions + sample-answer p.24

Official references for Mathematics 5733 - Number and Quantity

  • ETS Study Companion 5733, Content Topics I + Algebra discussion
  • Study Companion 5733, I.A + discussion questions
  • Study Companion 5733 discussion questions
  • Study Companion 5733, I.C
  • Study Companion 5733, I.B + discussion questions
  • Study Companion 5733, I.D
  • Study Companion 5733, I.E + sample-answer explanation p.24
  • Study Companion 5733, I.F + discussion questions
  • Study Companion 5733, I.G
  • Study Companion 5733, I.I + discussion questions
  • Study Companion 5733, I.H + sample-answer p.24
  • Study Companion 5733 discussion questions + sample-answer p.24

In the app this area comes with 16 memory cards and 16 module-quiz questions and is part of the free starting modules.

Mathematics 5733 - Data Interpretation, Statistics and Probability

Mathematics 5733 - Data Interpretation, Statistics and Probability carries 11.6% of the Praxis Core Academic Skills for Educators blueprint used in this course, the 5th-largest of its 8 weighted areas. It spans 2 concepts. The course teaches it in 2 study units: Central Tendency and Spread — what moves, what doesn't and Inference, Models, and Probability.

What Mathematics 5733 - Data Interpretation, Statistics and Probability covers

  • Outliers pull the MEAN, barely move the MEDIAN. — Study Companion 5733, II.B + discussion questions
  • Simple probability = favorable / total, always between 0 and 1. — Study Companion 5733, II.G + sample-answer p.24

Official references for Mathematics 5733 - Data Interpretation, Statistics and Probability

  • Study Companion 5733, II.B
  • Study Companion 5733, II.B + discussion questions
  • Study Companion 5733 discussion questions
  • Study Companion 5733, II.C
  • Study Companion 5733, II.D/II.E
  • Study Companion 5733, II.F
  • Study Companion 5733, II.G + sample-answer p.24

In the app this area comes with 11 memory cards and 11 module-quiz questions and is part of the free starting modules.

Mathematics 5733 - Algebra and Geometry

Mathematics 5733 - Algebra and Geometry carries 11.6% of the Praxis Core Academic Skills for Educators blueprint used in this course, the 6th-largest of its 8 weighted areas. It spans 2 concepts. The course teaches it in 3 study units: Expressions and Linear Equations, Quadratics, Inequalities, Slope, and Word Problems and Geometry — Shapes, Circles, and Measurement.

What Mathematics 5733 - Algebra and Geometry covers

  • Equivalent expressions: simplify by combining like terms and distributing. — Study Companion 5733, III.A.3 + discussion questions
  • Simple quadratics: x^2 = k has TWO solutions, +-sqrt(k). — Study Companion 5733, III.A.7

Official references for Mathematics 5733 - Algebra and Geometry

  • Study Companion 5733, III.A.1
  • Study Companion 5733, III.A.3 + discussion questions
  • Study Companion 5733 discussion questions
  • Study Companion 5733, III.A.6 + III.A.2
  • Study Companion 5733, III.A.7
  • Study Companion 5733, III.A.4/III.A.5
  • Study Companion 5733, III.B.2 + discussion questions
  • Study Companion 5733, III.B.1/III.B.3 + discussion questions
  • Study Companion 5733, III.B.3 + discussion questions
  • Study Companion 5733, III.B.4 + discussion questions
  • Study Companion 5733, III.B.5
  • praxis.ets.org 5733 test page + Study Companion 5733 p.3/p.5 + Algebra discussion

In the app this area comes with 14 memory cards and 14 module-quiz questions in the full course.

Writing 5723 - Text Types, Purposes, and Production

Writing 5723 - Text Types, Purposes, and Production carries 15.6% of the Praxis Core Academic Skills for Educators blueprint used in this course, the largest of its 8 weighted areas. The course teaches it in 4 study units: The Argumentative Essay — a plan beats polish, The Source-Based Essay — link, don't summarize, Essay Foundations — thesis, counterargument, evidence, cohesion and Essay Execution — attribution, timing, closing, the pre-submit check.

Official references for Writing 5723 - Text Types, Purposes, and Production

  • Study Companion 5723, Sample Test Questions - Argumentative Essay p.16
  • Study Companion 5723, Content Topics I.C + praxis.ets.org 5723 test page
  • derived from Study Companion 5723, Scoring Guide p.16 + Content Topics I.A.1
  • derived from Study Companion 5723, scoring statements p.16/p.24 + Scoring Guides band-3 bullets

In the app this area comes with 15 memory cards and 14 module-quiz questions in the full course.

Writing 5723 - Language and Research Skills for Writing

Writing 5723 - Language and Research Skills for Writing carries 10.4% of the Praxis Core Academic Skills for Educators blueprint used in this course, the 8th-largest of its 8 weighted areas. It spans 3 concepts. The course teaches it in 2 study units: Grammar Core — agreement, pronouns, tense and Sentence Structure, Word Choice, and Research.

What Writing 5723 - Language and Research Skills for Writing covers

  • Verb-tense shifts: keep tense consistent unless meaning requires a change. — Study Companion 5723, II.A.1.a
  • Sentence-boundary errors - the highest-volume structural cluster: fragments (no main clause), run-ons/comma splices — Study Companion 5723, II.A.1.b
  • Word choice: idiomatic expressions, frequently confused words — Study Companion 5723, II.A.1.c

Official references for Writing 5723 - Language and Research Skills for Writing

  • Study Companion 5723, Content Topics II.A.1.d/II.A.2.b + praxis.ets.org 5723 test page
  • Study Companion 5723, II.A.1.a
  • Study Companion 5723, II.A.1.b
  • Study Companion 5723, II.A.1.c
  • Study Companion 5723, II.A.2.a
  • Study Companion 5723, II.B

In the app this area comes with 11 memory cards and 11 module-quiz questions in the full course.

Reading 5713 - Key Ideas and Details

Reading 5713 - Key Ideas and Details carries 12.7% of the Praxis Core Academic Skills for Educators blueprint used in this course, the third-largest of its 8 weighted areas. It spans 1 concept. The course teaches it in 2 study units: Key Ideas and Details — the forced-vs-plausible bar and Reading Deeper — explicit, implicit, sequence, cause.

What Reading 5713 - Key Ideas and Details covers

  • Inference discipline - the exam's core reading skill: a valid inference is FORCED by the stated content — Study Companion 5713, I.C

Official references for Reading 5713 - Key Ideas and Details

  • Study Companion 5713, Content Topics I.A + sample question 1 logic
  • Study Companion 5713, I.B
  • Study Companion 5713, I.C
  • derived from Study Companion 5713, I.A/I.B wording
  • Study Companion 5713, Content Topics I.B + I.C
  • derived from Study Companion 5713, I.B + II.B
  • Study Companion 5713, I.B/I.C + II.B.2
  • Study Companion 5713, I.A + p.4
  • Study Companion 5713, I.A + sample question 1 answer logic p.8
  • Study Companion 5713, p.4 + I.A/I.C
  • derived from Study Companion 5713, I.B standard

In the app this area comes with 11 memory cards and 12 module-quiz questions in the full course.

Reading 5713 - Craft, Structure, and Language Skills

Reading 5713 - Craft, Structure, and Language Skills carries 10.9% of the Praxis Core Academic Skills for Educators blueprint used in this course, the 7th-largest of its 8 weighted areas. It spans 1 concept. The course teaches it in 2 study units: Craft and Structure — tone, pattern, function, meaning and Craft and Structure — connotation, genre, tone shift.

What Reading 5713 - Craft, Structure, and Language Skills covers

  • Transition taxonomy beyond however/therefore - the working set BY FUNCTION — Study Companion 5713, II.B.1

Official references for Reading 5713 - Craft, Structure, and Language Skills

  • Study Companion 5713, II.A
  • Study Companion 5713, II.B.1/II.B.2
  • Study Companion 5713, II.B.3
  • Study Companion 5713, II.C
  • Study Companion 5713, II.D
  • Study Companion 5713, II.B.1
  • Study Companion 5713, p.4 + I.A/II.A
  • derived from Study Companion 5713, II.A + II.B.1
  • derived from Study Companion 5713, II.C

In the app this area comes with 11 memory cards and 11 module-quiz questions in the full course.

Reading 5713 - Integration of Knowledge and Ideas

Reading 5713 - Integration of Knowledge and Ideas carries 12.7% of the Praxis Core Academic Skills for Educators blueprint used in this course, the 4th-largest of its 8 weighted areas. The course teaches it in 2 study units: Integration of Knowledge and Ideas — the deepest Reading skills and Integration, Refined — graphics, sufficiency, rhetoric.

Official references for Reading 5713 - Integration of Knowledge and Ideas

  • Study Companion 5713, III.A + p.4
  • Study Companion 5713, III.B.2
  • Study Companion 5713, III.B.3
  • Study Companion 5713, III.B.1/III.B.4
  • Study Companion 5713, III.C.3 + p.4
  • Study Companion 5713, III.C.1/III.C.2
  • derived from Study Companion 5713, III.B.2
  • derived from Study Companion 5713, III.B.1/III.B.3/III.B.4
  • derived from Study Companion 5713, III.C.3
  • derived from Study Companion 5713, III.C.2 + III.C.3
  • derived from Study Companion 5713, II.B.3 + III.B

In the app this area comes with 13 memory cards and 13 module-quiz questions in the full course.

Official references

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