Numbers and Counting: 

Understanding numbers, counting, and recognizing number patterns.

Basic Operations: 

Addition, subtraction, multiplication, and division.

Place Value: 

Understanding the value of digits in numbers based on their position.

Fractions and Decimals: 

Learning about parts of a whole and how to work with fractions and decimals.

Measurement: 

Understanding and using units of measurement for length, weight, volume, and time.

Geometry: 

Recognizing shapes, understanding their properties, and learning about spatial relationships.

Data and Graphs: 

Collecting, organizing, and interpreting data using charts and graphs.

Word Problems: 

Applying math concepts to solve real-world problems

Number Systems: 

Understanding integers, rational numbers, and real numbers.

Algebra: 

Learning to work with variables, expressions, and equations. This includes solving linear equations and understanding functions.

Geometry: 

Exploring properties of shapes, theorems, and proofs. Topics include angles, triangles, circles, and volume of 3D shapes.

Ratios and Proportions: 

Understanding and solving problems involving ratios, rates, and proportions.

Statistics and Probability: 

Collecting, analyzing, and interpreting data. Learning about probability and how to calculate it.

Measurement: 

Working with different units of measurement and understanding concepts like area, perimeter, and volume.

Functions: 

Introduction to functions and their representations.

Algebra 1: 

Introduction to variables, expressions, equations, and inequalities. Students learn to solve linear equations and inequalities, work with polynomials, and understand functions.

Geometry: 

Focuses on the properties and relations of points, lines, surfaces, and solids. Key topics include congruence, similarity, the Pythagorean theorem, and the basics of trigonometry.

Algebra 2: 

Expands on Algebra 1 concepts with more complex equations and functions, including quadratic, exponential, and logarithmic functions. It also introduces complex numbers and matrices.

Pre-Calculus: 

Prepares students for calculus by covering topics such as advanced functions, trigonometry, sequences, and series. It often includes an introduction to limits and continuity.

Calculus: 

Involves the study of limits, derivatives, integrals, and their applications. Students learn to analyze and model real-world situations using calculus concepts.

Statistics and Probability: 

Covers data analysis, probability theory, and statistical methods. Students learn to interpret and represent data, understand distributions, and apply statistical tests.