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Mathematics 5733 - Number and Quantity: Praxis Core Academic Skills for Educators topic guide

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 11 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 =/c. — Study Companion 5733 discussion questions
  • Percent = per hundred: p% of N = x N. — Study Companion 5733, I.C
  • Percent change = ÷ old × 100; use the original value as the base. — Study Companion 5733 discussion questions
  • Proportional solving: if 2 apples <-> 3 oranges, then 50 apples <-> x oranges. — 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
  • Units & conversion: multiply by the conversion factor so unwanted units cancel. — Study Companion 5733, I.I + discussion questions
  • Sets & Venn diagrams: intersection = elements in BOTH sets. — Study Companion 5733 discussion questions + sample-answer p.24

How Mathematics 5733 - Number and Quantity connects to other areas

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.

Start the free Praxis Core Academic Skills for Educators modules →