## What we cover

Yup tutors are experts in all K-12 math, from addition to calculus

### Looking for tutoring in another math subject?

We know that some schools have different naming conventions for math classes. We cover Integrated Math (Math 1, Math 2, Math 3) and all K-12 grade Common Core math. Yup can also be used for SAT and SAT II preparation. To confirm whether we cover your class or subject area, email support@yup.com.

## Pre-Algebra

Basic operations

- Counting, place values, addition, subtraction, multiplication, division
Negative numbers and absolute value

- No variables
Factors, divisibility rules, GCF/LCM

- No variables
Decimals, fractions, ratios, and proportions

- e.g. units, percentages
Exponents and roots

- No variables
Order of operations

Grouping and equality properties

- Associative, commutative, distributive, symmetric, reflexive, transitive.
Number types

- e.g. rational, irrational, complex
Scientific notation

Other pre-algebra

- e.g. prime factorization

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## Algebra

Coordinate plane basics

- (e.g. quadrants, plotting points, distance/midpoint formula)
Variables, linear expressions, and solving linear equations

Graphs of lines

- (e.g. slope, intercepts, y=mx+b)
Function properties

- (e.g. definition of a function, one-to-one/onto, even/odd, domain/range, inverses, composites, direct/inverse variation, piecewise, continuity/interval notation)
Inequalities

- (with variables)
Absolute value

- (with variables)
Systems of linear equations

Simplifying monomial and binomial expressions

- (e.g. factoring/distributing a single term, exponent addition/subtraction)
Logarithms, radicals, and exponential functions

- (with variables)
Quadratic expressions, equations, and graphs

Higher polynomial expressions, equations, and graphs

Rational expressions, equations, and graphs

Circle, ellipse, and hyperbola equations and graphs

Function graph transformations

- (e.g. translating, reflecting, scaling)
Complex

- (a+bi) coordinate systems
Sequences and series

Vectors and matrix basics

Other algebra

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## Calculus

Limits and continuity

Derivatives

Extrema and critical points

Approximating area under curves

- (e.g. trapezoids, Simpson’s rule)
Antiderivatives and integrals

Solids and surfaces of integration

- (e.g. disks, washers)
Fundamental theorem of calculus I and II

Mean value theorem, average change, and secants

Basic differential equation behavior

- (slope fields)
Euler's method

Other calculus

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## Statistics

Measures of center and spread

Interpreting/creating plots, graphs, and tables

Permutations, combinations, probability, and expectation

Probability distributions

Linear regression and correlation

Hypothesis testing and confidence intervals

Sampling and surveying