Kumar Academy
Our Curriculum - Kumar Academy

Our Curriculum

Structured programs designed to build mastery, confidence, and independent thinking. Each curriculum is personalized to meet your student exactly where they are.

Our Approach to Curriculum

At Kumar Academy, we don't believe in one-size-fits-all tutoring. Each curriculum is carefully structured yet flexible, designed to meet students exactly where they are while building toward mastery and lasting confidence. Our college student tutors bring fresh perspectives and relatable teaching styles that make complex concepts click.

SAT Math Curriculum

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Test Prep • 12-16 Sessions

Who It's For

Students preparing for the SAT or PSAT who want to maximize their math scores and build confidence in their problem-solving abilities.

What We Cover

  • Heart of Algebra (linear equations, systems, inequalities)
  • Problem Solving & Data Analysis (ratios, percentages, statistics)
  • Passport to Advanced Math (quadratics, exponentials, functions)
  • Additional Topics (geometry, trigonometry, complex numbers)
  • Calculator and non-calculator strategies
  • Time management and test-taking techniques
  • Common traps and how to avoid them

Our Structure

We start with a diagnostic assessment to identify strengths and weaknesses, then create a personalized learning plan. Each session focuses on targeted skill building, practice problem analysis, and strategy development. Regular practice tests track progress and build test-day confidence.

Typical Outcomes: Students typically see 50-100+ point improvements in their math section score, along with increased confidence and faster problem-solving abilities.

Algebra 1 Curriculum

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High School Math • 12 Units

Who It's For

Students currently taking Algebra 1 who need help understanding concepts, improving grades, or building a strong foundation for future math courses.

Our Complete 12-Unit Curriculum

Unit 1: Foundations & Number Sense
Goal: Build algebra readiness and eliminate gaps

Order of operations, integers, absolute value, fractions, decimals, percents, prime/composite numbers, GCF/LCM, properties of real numbers, estimation

Unit 2: Variables & Algebraic Expressions
Goal: Introduce algebraic language

Variables, constants, algebraic expressions, writing expressions from words, evaluating expressions, combining like terms, coefficients, simplifying, substitution

Unit 3: Linear Equations
Goal: Solve equations confidently

One-step, two-step, and multi-step equations, variables on both sides, distribution, equations with fractions, checking solutions, special cases (no solution, infinitely many solutions)

Unit 4: Linear Inequalities
Goal: Understand and graph solution sets

Inequality symbols, one-step and multi-step inequalities, compound inequalities (AND/OR), graphing on number lines, interval notation, word problems

Unit 5: Graphing Linear Equations
Goal: Connect equations to graphs

Coordinate plane, ordered pairs, plotting points, intercepts, slope (rise over run, types), slope-intercept form, graphing methods, horizontal/vertical lines

Unit 6: Systems of Linear Equations
Goal: Solve real-world problems with multiple variables

Solving by graphing, substitution, and elimination; special cases; word problems; interpreting solutions

Unit 7: Exponents & Powers
Goal: Build exponent fluency

Exponent notation, laws of exponents (product, quotient, power rules), zero and negative exponents, scientific notation, operations, real-world applications

Unit 8: Polynomials
Goal: Understand polynomial structure

Monomials, binomials, trinomials, degree and classification, adding/subtracting polynomials, multiplying (distributive, FOIL), simplifying

Unit 9: Factoring
Goal: Break expressions apart

Factoring out GCF, factoring trinomials (a = 1 and a ≠ 1), difference of squares, perfect square trinomials, factoring by grouping

Unit 10: Quadratic Equations
Goal: Solve second-degree equations

Standard form, solving by factoring, square roots, completing the square, quadratic formula, discriminant, real vs imaginary solutions, word problems

Unit 11: Functions & Relations (Intro)
Goal: Prepare for Algebra 2

Definition of function, input-output, function notation, evaluating functions, domain and range, vertical line test, real-world examples

Unit 12: Data, Modeling & Review
Goal: Apply algebra to real situations

All types of word problems, linear modeling, scatter plots, line of best fit, correlation, comprehensive review, cumulative problem solving

Our Structure

We align our tutoring with your student's current coursework and teacher's curriculum. Sessions focus on understanding concepts deeply, not just memorizing procedures. We work ahead when possible and provide targeted support for tests and challenging units.

Typical Outcomes: Students develop strong algebraic thinking skills, improved problem-solving confidence, and typically see grade improvements of 1-2 letter grades.

Algebra 2 Curriculum

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High School Math • 10 Units

Who It's For

Students taking Algebra 2 who want to master advanced algebraic concepts, prepare for Pre-Calculus, or strengthen their mathematical foundation for college.

Our Complete 10-Unit Curriculum

Unit 13: Advanced Linear Equations & Inequalities
Goal: Extend linear reasoning

Absolute value equations and inequalities, piecewise functions (intro), systems of inequalities, graphing systems, linear modeling with constraints

Unit 14: Advanced Functions
Goal: Deepen function understanding

Advanced function notation, domain and range with restrictions, transformations (shifts, reflections, stretches/compressions), inverse functions, composition of functions

Unit 15: Quadratic Functions
Goal: Analyze parabolas

Quadratic functions vs equations, vertex form, standard form, factored form, graphing parabolas, axis of symmetry, maximum/minimum, applications (projectile motion, area)

Unit 16: Polynomial Functions
Goal: Generalize polynomial behavior

Higher-degree polynomials, end behavior, zeros and roots, multiplicity, graphing, synthetic division, polynomial division, remainder theorem, factor theorem

Unit 17: Rational Expressions & Functions
Goal: Handle fractions with variables

Simplifying, multiplying, dividing, adding/subtracting rational expressions, rational equations, domain restrictions, graphing rational functions, asymptotes (vertical, horizontal)

Unit 18: Radical Expressions & Equations
Goal: Work with roots

Simplifying radicals, operations with radicals, rationalizing denominators, radical equations, extraneous solutions, graphing square root functions, applications

Unit 19: Exponential & Logarithmic Functions
Goal: Model growth and decay

Exponential functions, growth vs decay, compound interest, logarithms, laws of logarithms, solving exponential and logarithmic equations, real-world applications

Unit 20: Sequences & Series
Goal: Identify numerical patterns

Arithmetic sequences, geometric sequences, explicit and recursive formulas, series, applications

Unit 21: Probability & Statistics
Goal: Interpret data mathematically

Measures of center (mean, median, mode), measures of spread (range, standard deviation), probability rules, permutations, combinations, conditional probability, data interpretation

Unit 22: Comprehensive Review & Applications
Goal: Synthesize all algebra concepts

Mixed problem solving, multi-topic word problems, function modeling, exam-style questions, real-world applications, Algebra 1 + Algebra 2 integration

Our Structure

We provide comprehensive support aligned with your student's class, focusing on the "why" behind the math. Our tutors help students see connections between concepts and develop the analytical thinking needed for higher-level math courses.

Typical Outcomes: Students build confidence in complex problem-solving, develop strong preparation for Pre-Calculus and AP math courses, and typically improve grades significantly.

SAT English/Reading Curriculum

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Test Prep • 12-16 Sessions

Who It's For

Students preparing for the SAT or PSAT who want to improve their Reading and Writing scores through strategic practice and skill development.

What We Cover

  • Reading comprehension strategies for all passage types
  • Evidence-based reading and analysis
  • Grammar and usage rules (most commonly tested)
  • Sentence structure and punctuation
  • Vocabulary in context
  • Command of evidence questions
  • Author's craft and rhetorical analysis
  • Time management and pacing strategies

Our Structure

Beginning with a diagnostic assessment, we identify specific weaknesses and create a targeted improvement plan. Sessions combine strategy instruction with focused practice, emphasizing pattern recognition and systematic approaches to different question types.

Typical Outcomes: Students typically see 40-80+ point improvements in their Evidence-Based Reading and Writing score, with increased reading speed and accuracy.

English & Writing Support

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Academic Support • Customized

Who It's For

Students needing help with school English assignments, essay writing, reading comprehension, literary analysis, or general writing skills improvement.

What We Cover

  • Essay planning and structure
  • Thesis development and argumentation
  • Literary analysis and close reading
  • Grammar, style, and mechanics
  • Research skills and citation
  • Revision and editing strategies
  • Creative writing techniques
  • Reading comprehension for complex texts

Our Structure

This is our most flexible program, customized entirely to your student's current coursework and needs. We provide assignment support, essay feedback, test preparation, and skill-building based on what will help your student most.

Typical Outcomes: Students develop stronger writing voices, improved analytical reading skills, better grades on essays and assignments, and increased confidence in English class.

Personalized to Your Student

While we have structured curricula for each subject, every student's journey is unique. We adapt our approach based on diagnostic assessments, learning style, and individual goals. Some students move faster through certain topics, while others need more time—and that's exactly how it should be. Our tutors meet your student where they are and help them grow at their own pace.

Ready to Get Started?

Schedule a free consultation to discuss your student's needs and find the perfect curriculum match.

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