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South Carolina Standards–Aligned Instruction

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.

Elementary and Middle School Math

Third Grade

Addition and subtraction
Multiplication and division
Fractions and decimals (introductory concepts)
Geometry: basic shapes and measurement
Introductory word problems

Fourth Grade

Multiplication and division mastery
Fractions and decimals
Geometry: angles and geometric properties
Measurement and data
Introduction to basic algebraic thinking

Fifth Grade

Advanced multiplication and division strategies
Fraction and decimal operations
Geometry: perimeter, area, and volume
Introduction to ratios and proportions
Introductory algebraic expressions and equations

Sixth Grade

Operations with fractions and decimals
Ratios, rates, and proportions
Geometry: angles, triangles, and quadrilaterals
Integers and rational numbers
Expressions, equations, and inequalities

Seventh Grade

Operations with rational numbers
Proportional relationships
Geometry: circles and geometric constructions
Probability and introductory statistics
Expressions, equations, and inequalities

Eighth Grade

Exponents and scientific notation
Functions and linear equations
Geometry: transformations and similarity
Introduction to quadratic equations
Data analysis and probability

High School Math

Algebra I

Linear equations and inequalities
Graphing linear equations and functions
Systems of equations and inequalities
Exponents and polynomials
Quadratic equations and functions

Geometry

Properties of triangles and quadrilaterals
Congruence and similarity
Right triangles and trigonometry
Circles and geometric relationships
Constructions and transformations

Algebra II

Rational expressions and equations
Radical expressions and equations
Polynomial functions
Exponential and logarithmic functions
Conic sections

Precalculus

Functions and their graphs
Trigonometric functions and identities
Exponential and logarithmic functions
Analytic geometry
Limits and introductory calculus concepts

AP Calculus

Limits and continuity
Differentiation and applications
Integration and applications
Differential equations
Sequences and series

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