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Subjects

Explore a wide range of math subjects offered by Deriving Mathematics.

Elementary School  Math

Building a strong math foundation from the very beginning.

  • Number Sense & Place Value –

    • Understanding numbers, counting, comparing, and learning the value of each digit in multi-digit numbers.

  • Addition, Subtraction, Multiplication, Division –

    • Building fluency with the four operations through practice and real-world applications.

  • Fractions & Decimals –

    • Recognizing fractions, comparing them, adding/subtracting, and understanding decimal place value.

  • Basic Geometry –

    • Identifying shapes, learning properties, and calculating perimeter and area.

  • Measurement & Time –

    • Using units of measure, reading clocks, and converting between different measurements.

  • Introduction to Word Problems –

    • Applying math skills to solve story-based, real-world problems.

  • Patterns & Basic Algebra Concepts –

    • Recognizing patterns, sequences, and introducing simple variables.

Middle School Math

Bridging basic skills to advanced concepts with confidence.

  • Ratios, Proportions & Percents –

    • Solving problems with scaling, percent increase/decrease, and everyday percentage use.

  • Integers & Rational Numbers –

    • Working with positive/negative numbers, fractions, and decimals in operations.

  • Pre-Algebra –

    • Introduction to algebraic thinking: variables, expressions, and simple equations.

  • Algebra I Basics –

    • Solving linear equations/inequalities, graphing, and basic polynomial operations.

  • Geometry Basics –

    • Measuring angles, classifying shapes, and transformations (rotations, reflections, translations).

  • Probability & Statistics –

    • Reading and making graphs, calculating mean/median/mode, and understanding chance.

  • Problem-Solving & Math Reasoning Skills –

    • Developing logical thinking and strategies for multi-step problems.

High School Math

Mastering higher-level math for graduation and beyond.

  • Algebra I & II –

    • Solving systems of equations, factoring polynomials, working with exponents, functions, and quadratics.

  • Geometry (Proofs, Coordinate Geometry, Constructions) –

    • Logical proofs, congruence/similarity, circles, 3D figures, and coordinate plane geometry.

  • Trigonometry –

    • Sine, cosine, tangent, unit circle, identities, and solving right/oblique triangles.

  • Pre-Calculus –

    • Polynomial, rational, exponential, and logarithmic functions, sequences, series, and intro to limits.

  • Calculus AB/BC –

    • Limits, derivatives, integrals, optimization problems, series, and parametric equations.

  • Statistics & Probability –

    • Probability distributions, hypothesis testing, data analysis, and regression.

  • Advanced Problem-Solving Techniques –

    • Challenging word problems, competition-style math, and critical reasoning.

College-Level Math

Advanced mathematics for academic and career success.

  • College Algebra –

    • Functions, inequalities, polynomials, rational expressions, and exponential/logarithmic equations.

  • Trigonometry –

    • Advanced trig identities, inverse functions, graphing trig functions, and real-world applications.

  • Pre-Calculus –

    • Combined review of advanced algebra and trigonometry with emphasis on function analysis.

  • Calculus I, II, and III –

    • Differentiation, integration, series, vector calculus, partial derivatives, and multiple integrals.

  • Differential Equations –

    • First-order and higher-order ODEs, modeling population growth, physics, and engineering problems.

  • Linear Algebra –

    • Matrices, determinants, vector spaces, eigenvalues/eigenvectors, and linear transformations.

  • Probability & Statistics –

    • Probability theory, random variables, distributions, and advanced statistical inference.

  • Discrete Mathematics –

    • Logic, set theory, combinatorics, graph theory, and algorithms.

Test Preperation

Targeted strategies to maximize your exam scores.

  • SAT Math (No Calculator & Calculator Sections) –

    • Algebra, geometry, word problems, and data analysis with time strategies.

  • ACT Math –

    • Covers algebra, geometry, trigonometry, and statistics in a timed test format.

  • AP Calculus AB/BC –

    • Intensive preparation for calculus concepts, including limits, derivatives, integrals, and series.

  • State Standardized Math Exams –

    • Tailored review of grade-level math concepts aligned to state standards.

  • College Placement Exams (Accuplacer, ALEKS, etc.) –

    • Diagnostic prep covering algebra, arithmetic, and pre-calculus to place higher in courses.

Elementary School  Math
High School  Math
College Level  Math
Test Preperation
Middle School Math
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