What we cover

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

### 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 (associative, commutative, distributive) and equality (symmetric, reflexive, transitive) properties
• Number types (e.g. rational, irrational, complex)
• Scientific notation
• Other pre-algebra (e.g. prime factorization)

### 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

### Geometry

• Names and properties of figures (e.g. perimeter, area, convex vs. concave)
• Similarity, scaling, and shape transformations
• Congruence
• Logic and proofs
• Lines and angles
• Triangles
• Regular Polygons
• Circles
• 3D solids and polyhedra
• Other geometry

### 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

### Statistics and Probability

• 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
• Other statistics
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