Math by Grade Level


K-12 Mathematics Levels

Elementary School (K-5)  
Kindergarten Counting, basic addition/subtraction, shapes

1st Grade

Addition/subtraction, place value, basic measurement
2nd Grade Multiplication introduction, fractions, money concepts
3rd Grade Multiplication/division, fractions, area/perimeter
4th Grade Multi-digit multiplication, long division, geometry
5th Grade Decimal/fraction operations, volume, coordinate grids
   
Middle School (6-8)  
6th Grade Ratios, integer operations, basic algebraic expressions
7th Grade Pre-algebra, probability, statistics
8th Grade Algebra 1, linear equations, functions
   
High School (9-12)  
9th Grade (Freshman)

Geometry

10th Grade (Sophomore)

Algebra 2, PSAT math

11th Grade (Junior) Pre-Calculus, SAT math, ACT math
12th Grade (Senior)

AP Calculus, AP Statistics, IB DP AA HL

 
AP Calculus
Topic
A
Derivatives
B
Integrals
C
Series
3
Vectors

 

College Mathematics Levels

Undergraduate  
College Algebra & Trigonometry (See high school)
Pre-Calculus Polynomials and trigonometry
Calculus I Differential calculus
Calculus II Integral calculus
Calculus III Multivariable calculus
Linear Algebra Systems of equations, matricies
Differential Equations Advanced derivatives
Statistics & Probability Determining the center and dispersion of data
Discrete Mathematics Integers, Boolean algebra, sets, logic
   

Advanced Undergraduate (BS)

 

Proofs

SNHU MAT 299 Mathematical Proof and Problem Solving Techniques

Abstract Algebra

SNHU MAT 415 Foundations of algebra
Real Analysis SNHU MAT 470 Foundations of calculus
Complex Analysis NYU MATH-GA.2450-001 Complex variables (imaginary numbers)
Numerical Methods SNHU MAT 370 Solving calculus numerically
Topology SNHU MAT 230 Graphs and trees
Mathematical Modeling SNHU MAT 375 Finding equations and using stats to predict data
Cryptography SNHU MAT 260 Cybersecurity - Cryptography
History of Mathematics SNHU MAT 450 History of Math and Math Education, from ancient Greece to modern day
   

Graduate (MS)

 

Numerical Analysis

TAMU MATH 609

Graph Theory

TAMU MATH 613

History of Mathematics

TAMU MATH 629

Combinatorics

TAMU MATH 630

A Transition to Graduate Level Mathematics

TAMU MATH 632

Survey of Mathematical Problems I

TAMU MATH 645

Mathematical Modeling

TAMU MATH 647

Computational Linear Algebra

TAMU MATH 660

Information, Secrecy and Authentications I

TAMU MATH 673

Mathematical Communication and Technology

TAMU MATH 696

Statistical Analysis

TAMU STAT 601

College Teaching

TAMU EDAD 601

Source: ChatGPT


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Last updated 11 August 2025