Praxis Prep

(from someone who can actually explain it)

Chris is a Stanford-educated tutor with over 10 years experience tutoring math to students of all abilities and levels, from pre-algebra and middle school all the way through college algebra, calculus and the SAT. In that time he got a lot of experience learning how to explain this stuff in a way it actually makes sense to normal people, and he brings that experience to his videos, whether you are in class now or preparing for Praxis.

Start Prepping Now!Sample Praxis Videos

How to prep for Praxis using ThatTutorGuy.com -- The table below contains a list of all the topics you'll find on the Praxis test. In the right-hand column of the table are links to all the videos on our site that you'll want to watch to cover those topics.

Praxis

About the test: There are 3 Praxis® tests for middle and high school which focus on math: Core Academic Skills for Educators: Mathematics (5732), Middle School: Mathematics (5169), and Mathematics: Content Knowledge (5161). (Note: We have some material on our site for the elementary core test (5003), but as our site is geared towards 6th grade and up we do not have all the material). The tests are administered by ETS. Each state has its own requirements for which tests need to be taken and what score you need to get so you’ll need to verify with your state’s requirements. Tests are administered on the computer at ETS test centers and administered year round.
Calculators: Calculators are not allowed on most of the test but there are a few exceptions, please check here for the list of tests that allow calculators and their guidelines:
Praxis Calculator Policy
How to Study: Start by testing yourself on the appropriate practice test. Unfortunately, it appears ETS doesn’t have a free test online. But we always recommend taking the test from the maker of the test so it most closely matches the test you’ll be taking. If you can’t swing it, there are still practice tests online for free.
Praxis Practice Test 5169
Praxis Practice Test 5732
Praxis Practice Test 5161
General Study Tips: If you haven't found them already, Chris has a great series of videos on HOW to study including how to counter math anxiety prior to a big test and the best ways to prepare. Study Tips
Core Academic Skills for Educators: Mathematics (5732)
Ratios and Proportional Relationships Ratios & Proportions
The Real Number System Order of Operations (PEMDAS) Fractions & Mixed Numbers Decimals
Quantities Adding & Subtracting Using the Number Line
Seeing Structures in Expressions Introduction to Variables & Expressions Solving Basic Equations
Reasoning with Equations and Inequalities Distribution & Combining Like Terms Solving Absolute Value Equations Absolute Value Inequalities Solving "Linear" Inequalities Solving Systems of Equations Polynomial Graphs: Zeros, Multiplicity & End Behavior Adding Polynomials Finding Rational Roots of Polynomials "FOIL" (First Inside Outside Last) Solving Systems of Equations Roots and Rational Exponents Factoring Quadratics Methods of Factoring
Functions The X-Y Plane Lines & Equations of Lines Intro to Functions - Domain, Range & Inverse Intro to Graphing Transformations Point-Slope Form: y-y1=m(x-x1) Standard Form of a Line: Ax+By=C Equations of Parallel & Perpendicular Lines Scatter Plots Parabolas -- Vertex Form Graphing & Vocab Library Functions
Congruence and Similarity Basic X-Y Graphs Transformations, Reflections, Isometry & Mapping
Right Triangles Pythagorean Theorem
Circles Circle Basics Area of Circles & Sectors Central & Inscribed Angles Chords of Circles Tangents of Circles Area of Circles & Sectors
Geometric Measurements and Dimension/Modeling with Geometry Area & Volume of Similar Figures Volume of Solids Surface Area of 3-D Shapes
Statistics and Probability Lots of Probability Vocab Permutations Tricky Permutation Problems Lots of Statistics Vocab Binomial Probability Distribution Vocab Mutually Exclusive (Disjoint) Events Vocab
Middle School: Mathematics (5169)
Numbers and Operations Adding & Subtracting Using the Number Line Order of Operations (PEMDAS) Fractions & Mixed Numbers Decimals Scientific Notation Roots & Radicals Ratios & Proportions
Algebra Introduction to Variables & Expressions Solving Basic Equations Distribution & Combining Like Terms Solving Absolute Value Equations Absolute Value Inequalities Solving "Linear" Inequalities Solving Systems of Equations Polynomial Graphs: Zeros, Multiplicity & End Behavior Adding Polynomials Finding Rational Roots of Polynomials "FOIL" (First Inside Outside Last) Solving Systems of Equations Roots and Rational Exponents Factoring Quadratics Methods of Factoring
Functions The X-Y Plane Lines & Equations of Lines Intro to Functions - Domain, Range & Inverse Intro to Graphing Transformations Point-Slope Form: y-y1=m(x-x1) Standard Form of a Line: Ax+By=C Equations of Parallel & Perpendicular Lines Scatter Plots Parabolas -- Vertex Form Graphing & Vocab Library Functions
Geometry Basic X-Y Graphs Distance & Midpoint Formulas Transformations, Reflections, Isometry & Mapping Area of Rectangles and Squares Area of Triangles Area of Parallelograms & Trapezoids Area of Kites & Rhombuses (Rhombi) Area of Regular Polygons Angle and Segment Bisectors Congruent Triangles--SSS, SAS, AAS, ASA, H-L Parallel Lines & Transversals Parallelogram Theorems Trapezoids Triangle Inequalities & Side Lengths Isosceles & Equilateral Triangle Theorems, Converses & Corollaries Similar Triangles Pythagorean Theorem "Special" Triangles -- 30-60-90 & 45-45-90
Statistics and Probability Lots of Probability Vocab Lots of Statistics Vocab
Mathematics: Content Knowledge (5161) (Part I)
Numbers and Quantities Intro to Exponents & Exponent Rules Ratios & Proportions Fractions & Mixed Numbers Adding & Subtracting Using The Number Line Decimals
Algebra Introduction to Variables & Expressions Solving Basic Equations Distribution & Combining Like Terms Solving Absolute Value Equations Absolute Value Inequalities Solving "Linear" Inequalities Solving Systems of Equations Polynomial Graphs: Zeros, Multiplicity & End Behavior Adding Polynomials Finding Rational Roots of Polynomials "FOIL" (First Inside Outside Last) Methods of Factoring Roots and Rational Exponents Factoring Quadratics Methods of Factoring
Functions The X-Y Plane Lines & Equations of Lines Intro to Functions - Domain, Range & Inverse Intro to Graphing Transformations Point-Slope Form: y-y1=m(x-x1) Standard Form of a Line: Ax+By=C Equations of Parallel & Perpendicular Lines Scatter Plots Parabolas -- Vertex Form Graphing & Vocab Library Functions
Calculus Intro to Limits Continuity One-Sided Limits Limits of Rational Functions Limits at Infinity & Horizontal Asymptotes Limit Definition of Derivative Limit Properties The Equation Of A Tangent Line Basic Derivative Formulas (no Chain Rule) Product & Quotient Rules The Chain Rule Implicit Differentiation Mean Value & Rolle's Theorem L'Hopital's Rule Newton's Method of Approximation Optimization Word Problems Maxima, Minima, & "First Derivative Test Intro to Integration & Anti-Derivatives Definite Integrals Integration with U-Substitution Average Value & Mean Value Theorem Fundamental Theorem(s) of Calculus Area Between Curves Volume: Disks, Washers & Shells Improper Integrals Integration By Parts Arc Length & Surface Area Sequences & Series Series Convergence & Divergence Taylor & Maclaurin Series Power Series
Mathematics: Content Knowledge (5161) (Part II)
Geometry Basic X-Y Graphs Distance & Midpoint Formulas Transformations, Reflections, Isometry & Mapping Area of Rectangles and Squares Area of Triangles Area of Parallelograms & Trapezoids Area of Kites & Rhombuses (Rhombi) Area of Regular Polygons Angle and Segment Bisectors Congruent Triangles--SSS, SAS, AAS, ASA, H-L Parallel Lines & Transversals Parallelogram Theorems Trapezoids Triangle Inequalities & Side Lengths Isosceles & Equilateral Triangle Theorems, Converses & Corollaries Similar Triangles Pythagorean Theorem Congruent Triangles--SSS, SAS, AAS, ASA, H-L Intro to Trig - SohCahToa "Special" Triangles -- 30-60-90 & 45-45-90 Trig Proofs & Identities: 3 Tricks to Make Them Easier [The Pythagorean Identity: sin2X + cos2X = 1] [Proofs Using The "Other Two" Pythagorean Identities: tan2X+1 = sec2X & 1+cot2X = csc2X] [Double-Angle, Half-Angle, and Sum/Difference Formulas] Parallelograms Rectangles, Squares, Kites & Rhombuses Trapezoids Area & Volume of Similar Figures Volume of Solids Surface Area of 3-D Shapes
Statistics and Probability Lots of Probability Vocab Permutations Tricky Permutation Problems Lots of Statistics Vocab Binomial Probability Distribution Vocab Mutually Exclusive (Disjoint) Events Vocab
Discrete Math Sequences & Series [Discrete Math Solution Styles included throughout lessons]
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