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At Upstate Math Foundations, our tutoring is intentionally aligned with South Carolina state mathematics standards to ensure students receive support that reinforces what they are learning in the classroom. By staying closely aligned with grade-level expectations, we help students strengthen foundational skills, address specific learning gaps, and build confidence as they progress through each course.
Below is an overview of the topics we commonly support at each grade level and course. Instruction is always personalized, so session focus may vary based on individual student needs.
Addition and subtraction
Multiplication and division
Fractions and decimals (introductory concepts)
Geometry: basic shapes and measurement
Introductory word problems
Multiplication and division mastery
Fractions and decimals
Geometry: angles and geometric properties
Measurement and data
Introduction to basic algebraic thinking
Advanced multiplication and division strategies
Fraction and decimal operations
Geometry: perimeter, area, and volume
Introduction to ratios and proportions
Introductory algebraic expressions and equations
Operations with fractions and decimals
Ratios, rates, and proportions
Geometry: angles, triangles, and quadrilaterals
Integers and rational numbers
Expressions, equations, and inequalities
Operations with rational numbers
Proportional relationships
Geometry: circles and geometric constructions
Probability and introductory statistics
Expressions, equations, and inequalities
Exponents and scientific notation
Functions and linear equations
Geometry: transformations and similarity
Introduction to quadratic equations
Data analysis and probability
Linear equations and inequalities
Graphing linear equations and functions
Systems of equations and inequalities
Exponents and polynomials
Quadratic equations and functions
Properties of triangles and quadrilaterals
Congruence and similarity
Right triangles and trigonometry
Circles and geometric relationships
Constructions and transformations
Rational expressions and equations
Radical expressions and equations
Polynomial functions
Exponential and logarithmic functions
Conic sections
Functions and their graphs
Trigonometric functions and identities
Exponential and logarithmic functions
Analytic geometry
Limits and introductory calculus concepts
Limits and continuity
Differentiation and applications
Integration and applications
Differential equations
Sequences and series