## 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

Integers

- Addition, subtraction, multiplication, prime factorization, exponents
Rational Numbers

- Fractions, decimals, percents
Real Numbers

- Absolute value, square roots, properties of addition and multiplication, scientific notation
Complex Numbers

- Imaginary numbers, understanding number classifications

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## Algebra

Algebra fundamentals

- Properties of equality, like terms
Linear equations and inequalities

- Solving linear equations and inequalities, properties of lines
Systems

- Elimination, substituation, graphing, number of solutions, matrices
Functions

- Properties of functions, function operations, types of functions
Polynomials

- Polynomial properties, polynomial operations, Rational Root Theorem, binomial expansion
Quadratics

- Factoring, completing the square, Quadratic Formula, parabolas
Rational functions

- Simplifying rational expressions, solving rational equations, graphing rational equations
Exponents

- Exponent properties
Radicals

- Simplifying radical expressions, solving radical equations
Exponentials/Logs

- Graphing exponential equations, solving exponential equations, log rules, graphing logs, solving log equations
Sequences and series

- Explicit and recursive formulas, geometric sequences, arithmetic sequences, sigma notation
Cartesian plane

- Points, quadrants, distance and midpoint formulas
Conic sections

- Properties of parabolas, ellipses, and hyperbolas

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## Geometry

Coordinate Geometry

- Transformations
Geometry fundamentals

- Point, line, plane
Angles

- Transversals, types of langles, measuring angles
Triangles

- Types of triangles, triangle properties, centers of triangles, special right triangles
Similarity

- Proportions
Proofs

- Using postulates for proofs
Quadrilaterals

- Types of quadrilaterals
2D shapes

- Finding area and perimeter, regular polygons properties
3D shapes

- Finding volume and surface area, properties of 3D shapes
Circles

- Properties of circles, equations of circles
Constructions

- Compass and straightedge constructions

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## Trigonometry

Vectors

- Vector operations, vector properties
Right triangle trig

- SOHCAHTOA, unit circle
Trigonometric identities

- Simplifying trig expressions, using identities to evaluate expressions
Graphing

- Properties of trig graphs
Solving trigonometric equations

- Inverse trig, solving equations on different intervals

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## Calculus

Limits

- Evaluating basic limits, L'Hopital's Rule
Derivatives

- Derivative rules, critical points, implicit differentiation
Integrals

- Finding area under a curve, u-substitution, solids of revolution
Differential Equations

- Slope fields, initial value problems

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## Statistics

Basic probability

- Independent vs dependent, mutual exclusivity
Compound probability

- Conditional probability, addition and multiplication rules, expected values
Combinatorics

- Permutations, combinations
Distributions

- Measures of central tendency and spread, normal distribution properties, skewness
Graphs

- Scatter plots, box and whisker plots, stem and leaf plots, histograms
Correlation

- Line of best fit, correlation vs causation
Inferential statistics

- Testing for statistical significance, confidence intervals
Research design

- Sampling, surveys, experiments, observational studies