Subjects

• Understanding Place Value
• Adding and Subtracting 2- and 3-Digit Numbers
• Multiplying and Dividing 2- and 3-Digit Numbers
• Counting Money
• Telling Time
• Fractions—Equivalent Fractions, Adding and Subtracting, GCF, LCM, Multiplying, Dividing
• Measurement
• 2-D and 3-D Shapes
• Word Problems
• Line Plots, Bar Graphs
• Estimation
• Skip Counting
• Area and Perimeter
• Rounding
• Number Lines
• Patterns
• Interpreting Data
• Measuring Angles

• Operations with decimals and multi-digit whole numbers
• Understanding and converting fractions, decimals, and percentages
• Ratios, rates, and basic proportional relationships
• Introduction to algebraic expressions and equations

• Operations with integers and rational numbers
• Solving one-step and two-step equations
• Working with exponents and order of operations
• Introduction to basic functions and coordinate graphing

• Solving linear equations and inequalities
• Graphing linear functions and understanding slope
• Systems of linear equations using substitution and elimination
• Operations with polynomials and factoring techniques

• Properties of angles, lines, and geometric figures
• Triangle congruence, similarity, and Pythagorean theorem
• Geometric proofs and logical reasoning
• Area, volume, and surface area calculations for 2D and 3D shapes

• Quadratic functions, equations, and complex numbers
• Polynomial and rational expressions and equations
• Exponential and logarithmic functions
• Sequences, series, and mathematical modeling

• Trigonometric functions, identities, and equations
• Introduction to limits and continuity
• Sequences, series, and mathematical induction
• Vectors, parametric equations, and polar coordinates

• Derivatives and their applications including optimization and related rates
• Definite and indefinite integrals and fundamental theorem of calculus
• Techniques of integration and applications to area and volume
• Differential equations and series convergence