## Memorize Me’s, Backgrounders, & How2’sHere are all the existing Acumen Tutoring MemorizeMe™, Backgrounder™, and How2™ documents as downloadable PDFs. These are free for anyone to use: teachers, individuals, whomever; in particular, you don't need to be an Acumen Tutoring student, so help yourself. All I require is: - Don't remove the Acumen Tutoring logo, web address or copyright notice.
- Don't directly email or otherwise distribute
these to other teachers or tutors.
You*can*give them the link to this page and let them download whatever they want.
Note that eventually I'll be charging for these, so enjoy them while you can! Bug reports: If you notice an error in one of the documents, please tell me about it at: ## Algebra## MemorizeMe’s*Divisibility Rules*- Quickly determine if a number is divisible by 2, 3, 4, 5, 6, 8, or 9*Graphing Quadratic Equations*- Standard, Vertex, and Intercept forms*Midpoint & Distance formulas*- Midpoint and distance formulas, point-slope, slope-intercept, and standard forms*Percentages*- Percent change, profit margins, discounts.*Special-Case Factoring*-*a*² -*b*² and the like
## Algebra2A lot of these are useful for Precalc, as well. ## Backgrounders*Combinations, Permutations, and Probability**Operations*- Cayley tables, etc.*Set Theory*- Sets, subsets, intersections, unions*Solving Equation Word Problems*- Steps to solving word problems
## MemorizeMe’s*Advanced Factoring*- Rational zero test, Descarte’s Rule of Signs, upper and lower bounds rules*Complex Numbers*- A summery of how to peform arithmetic on numbers that include*i*.*Conic Sections (1)*- Alg2 version: Circles, ellipses, parabolas, hyperbolas; version 1:*a*= semi-major axis*Conic Sections (2)*- Alg2 version: Circles, ellipses, parabolas, hyperbolas; version 2:*a*= Horizontal axis*Exponents and Logarithms*- Log and exponent properties; growth, decay, interest, half life*Graphing Logs and Exponents*- Parent functions and transformations*Graphing Parent Functions and Transformations*- Shift, reflect, stretch, and shrink*Graphing Polynomials*- Leading coefficients and degrees, multiplicity.*Graphing Quadratic Functions*- Vertex, Axis of Symmetry, etc.*Graphing Rational Expressions*- Horizontal, vertical, and slant asymptotes for rational expressions*Midpoint & Distance formulas*- Midpoint and distance formulas, point-slope, slope-intercept, and standard forms*Sequences*- Arithmetic and geometric sequences
## Calculus*Area Under a Curve*- The limit calculation of the area under a curve and the formal definition of an integral*Common Derivatives*- Derivatives for common trig, exponential, and log functions*Common Integrals*- Trig, exponential, and log functions; Integration by parts*Definitions & Theorems*- Definitions of continuous, differentiable; IVT, MVT, EVT, and Rolle's*ε-δ Proofs of Limits, 1*- for linear functions*ε-δ Proofs of Limits, 2*- for quadratic functions*Limits*- Strategy for determining limits*Limits and derivatives*- Definition of derivative; L’Hôpital’s Rule
## AP Calc BC*Euler's Method*- Approximating solutions to differential equations*Linear Differential Equations*- Solving First-Order Linear Differential Equations*Newton's Method*- Approximating solutions to functions*p- and Power Series*- P-series and power series; what are they and are they friendly?*Parametric Equations*- Derivatives, arc length, areas of revolution*Polar Coordinates*- The Calculus version: includes derivatives, etc.*Polar Coordinates: Areas and Arc Lengths*- Area under a curve, arc length, surfaces of revolution*Series: Testing for Convergence*- Integral test, root test, nth-term test, etc.*Series: Choosing a Test for Convergence*- How to decide among the many tests for convergence.*Taylor and Maclaurin Series*- How to construct Taylor and Maclaurin polynomials*Trigonometric Integrals*- Integrating powers of trig functions*Trigonometric Substitution*- Replacing square roots with trig functions*Volumes & Surfaces*- Volumes of revolution, Surfaces of revolution, arc length
## Multi-variable Calculus*Directional derivatives and gradients**Lines and Planes*- Equations, distances, etc.*Surfaces in Space*- Ellipsoids, Hyperbolic paraboloids, etc.*Tangents and Normals*- Tangent and Normal vector functions*Tangent Planes*- Tangent planes and normal lines
## Chemistry## How2’s## MemorizeMe’s*Acids & Bases*- pH, pOH, [H], [OH], conjugate acids/bases*Accuracy and Precision*- Accuracy, precision, and measurement*Electrochemical Cells*-*i.e.,*Batteries*Gas Laws*- Ideal gas, Combined gas laws, Rate of effusion, etc.*Kinetics*- Reaction rates, rate laws, etc.*Lewis Diagrams*- How to create Lewis diagrams (includes formal charges)*Metric Units*- Metric prefixes & the most commonly-used unit conversions*Naming Compounds*- Naming rules for ionic & molecular compounds*Organic Chemistry*- Naming rules for organic compounds*Redox*- Oxidation states, Balancing redox reactions, Electrochemistry*Significant Figures*- Rules for figuring out significant figures*Solutions and Concentration*- Molarity, molality, % concentration, changes to melting and boiling points*Thermochemistry*- Specific heat, heats of fusion and vaporization*VSEPR*- Determining molecular shapes
## AP Computer Science## MemorizeMe’s*Acumen Utilities Documentation*- Describes the CInputGetter and CRandom classes.*Conditional execution and Loops*- Loops and if..else operations*Strings*- Java class methods for parsing, changing, and otherwise working with String objects.
## Geometry## MemorizeMe’s*Algebraic Postulates*- Transitivity, Symmetry, etc.*Areas of Plane Figures*- Areas of rectangles, triangles, parallelograms, etc.*Circles, Chords, and Tangents*- All the circle-related theorems*Logic*- Induction, deduction, conditional statements*Parallel Lines Theorems*- Corresponding angles, alternate interior angles, etc.*Polygons*- Parallelograms and their friends*Theorems and Postulates*- A list of the names of commonly-used theorems and postulates*Transformations*- Translation, rotation, reflection, dilation*Triangle Centers*- Centroid, circumcenter, incenter, orthocenter*Triangle Theorems*- SAS, ASA, CPCTC, etc.*Trigonometry*- Sines, cosines, tangents, Pythagoras*Volumes & Surface Areas*- Three-dimensional solids, such as cones and prisms
## Physics## MemorizeMe’sNote that several of these have more-advanced versions in the "AP Physics" section. *Circuits*- Ohm's law, series & parallel, etc.*Circular Motion*- Angular velocity, radians, centripetal force*Electrostatics*- Force between charges, electric fields.*Gravity*- Gravitational force and acceleration, orbital velocities*Mechanical Energy*- Potential and kinetic energy, work, power*Metric Units*- Metric prefixes & the most commonly-used unit conversions*Motion*- Accelerated motion: position, velocity, acceleration, and time; this is the version for regular physics.*Momentum and Impulse*- Collisions and projectiles.*Resonance*- Harmonics, open and closed cylinders, etc.*Waves*- Frequency, wavelength, period
## AP Physics## MemorizeMe’s*Electrostatics Basics*Electric fields, electric flux, etc.*Gravity*- Gravitational force and acceleration, orbital velocities; this is the version for AP physics.*Kinematics*- Accelerated motion: position, velocity, acceleration, and time; this is the version for AP physics.*Rotational Dynamics*- Angular momentum, moment of inertia, etc.*Simple Harmonic Motion*- Springs and pendulums (pendula?)
## Precalculus## How2’s*Graphing Sine & Cosine Functions*- How to graph sin & cos, step-by-step
## MemorizeMe’s*Area Under a Curve*- Area under a curve, summation values and properties*Conic Sections (1)*- Precalc version: Circles, ellipses, parabolas, hyperbolas; version 1:*a*= semi-major axis*Conic Sections (2)*- Precalc version: Circles, ellipses, parabolas, hyperbolas; version 2:*a*= Horizontal axis*Exponents and Logarithms*- Log and exponent properties; growth, decay, interest, half life*Graphing Parent Functions and Transformations*- Shift, reflect, stretch, and shrink*Graphing Rational Expressions*- Horizontal, vertical, and slant asymptotes for rational expressions*Graphing Trigonometric Functions*- Parent functions and their transformations*Laws of Sines, Cosines, etc.*- Law of Sines, Law of Cosines, trigonometric form of complex numbers*Polar Coordinates*- Polar-Rectangular conversion; Common curves, etc.*Reduced Row-Echelon Solutions*- Solving systems of equations using the reduced row-echelon technique*Trigonometric Identities*- Co-function formulas, product-to-sum, etc.*Trigonometric Identities - Tactics*- How to approach simplifying trig identities.*Vectors*- Dot and cross products, projections, etc.
## Statistics## MemorizeMe’s*Binomial Distributions*- Probabilities, mean, etc.*Chi-squared*- Goodness-of-fit, independence, homogeneity*Comparing two populations*- CI, significance testing, etc.*Confidence Intervals*- CI, standard error, etc.*Basics: Describing Data and Normal Distributions*- Quartiles, Normal distribution, Standard deviation, Z-scores.*Geometric Distributions*- Probabilities, mean, etc.*Hypotheses testing*- Null and alternate hypotheses, levels of significance, etc.*Organizing a Problem*- 4-Step procedure.*Power calculation*- Calculating power for a test*Probability*- So, what are the odds?*Regression*- Linear regression, coefficient of correlation, etc.*Sampling Distributions*- Probabilities associated with normally-distributed data.*Sampling Terminology*- Sampling types and attributes, bias, etc.
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