Complete math and science curriculum
Online one-on-one math tutoring and science tutoring by grade — elementary math through middle school, high school algebra and geometry, plus SAT preparation and AP preparation.
Grades 1–5
Number sense, arithmetic, early geometry, and the first years of science.
Arithmetic, number sense & early science
Kindergarten
Math
- Addition & subtraction within 10
- Numbers to 100; count, compare & write 0–20
- Make and break apart numbers 1–20
- 2D & 3D shapes; position and location
- Measurement, money & time; the calendar
- Pre-math concepts
Grade 1
Math
- Addition and subtraction
- Introduction to multiplication
- Number systems
- Shapes and patterns
- Data handling
- Measurement, money & time
- Logical reasoning & Vedic math
Grade 2
Math
- Addition and subtraction
- Multiplication and division
- Number systems; numbers up to 200
- Shapes, patterns & pictographs
- Measurement, money & time
- Logical reasoning & Vedic math
Grade 3
Math
- Addition and subtraction
- Multiplication and division
- Introduction to fractions
- Number systems
- Lines and polygons
- Scaled pictographs
- Measurement, money & time
- Logical reasoning & Vedic math
Science
- Classifying living things & animal adaptations
- Life cycle; heredity and genetics; evolution
- Plants & soil
- Forces and motion; simple machines
- Magnets and electricity
- Climate & weather; outer space
- Environmental science; the nature of science
Grade 4
Math
- Arithmetic operations
- Fractions
- Introduction to decimal numbers
- Factors, multiples & primes
- Number systems
- Lines and angles
- Data handling
- Measurement, money & time
- Logical reasoning & Vedic math
Science
- Animals & the human body; nutrients
- Electricity & magnetism
- Energy & energy resources; thermal energy; waves
- Engineering design
- Natural resources; mapping Earth
- Soil, rocks & minerals; tectonic plates
- Earth's slow and rapid changes
Grade 5
Math
- Arithmetic operations
- Fractions & their arithmetic
- Decimals & their arithmetic
- Factors, multiples & primes
- Number systems
- Percentages & unitary method
- Geometry & mensuration
- Data handling
- Logical reasoning & Vedic math
Science
- Cells & the cell system; from molecules to organisms
- Human body systems; nutrition
- Plants & animals; heredity; biological changes
- Ecology & human impact
- Matter (incl. pure vs. impure); force; energy
- Engineering design
- Earth's history & systems; geological processes; water; weather
- Earth, Moon & celestial cycles; structure of the universe
- The scientific method
Grades 6–8
Pre-algebra, ratios, expressions, and middle-school physical, life, and earth science.
Pre-algebra & middle-school science
Grade 6
Math
- Factors, multiples, primes & exponents
- Integers and their operations
- Fractions and decimals
- Introduction to algebra
- Operations on algebraic expressions
- Numbers and operations; set theory
- Geometry & mensuration
- Data handling
- Logical reasoning & Vedic math
Science
- Introduction to matter; properties; solids, liquids & gases; density
- Introduction to chemistry; chemical reactions
- Force & motion; friction; Bernoulli's principle; science of flight
- Energy & thermal energy; light; shadows
- Simple machines
- The cell system; classification of living things; invertebrates & vertebrates
- Biodiversity; extinct & endangered species
- Earth's systems; minerals and rocks; plate tectonics; continental drift
- Natural disasters; tsunamis; weather & climate
- The solar system; time period
- Human impacts on the environment; STEM skills & connections
Grade 7
Math
- Algebra & simple equations
- Rational numbers; integers
- Fractions and decimals; exponents
- Percentages & commercial math
- Lines and angles; triangles & congruence
- Symmetry; solid shapes
- Perimeter and area
- Data handling
- Logical reasoning & Vedic math
Science
- Atoms and the periodic table
- Pure substances & mixtures; phase changes
- Chemical reactions
- Measurements and units
- Thermal energy
- Structure & forces in action
- Human body systems
- Living things in the biosphere; populations, communities & ecosystems
- Natural selection
- Earth's surface systems; history of Earth; rock transformation
- Distribution of natural resources
Grade 8
Math
- The number system: rational & irrational numbers
- Exponents & scientific notation
- Linear equations and systems of equations
- Introduction to functions
- Geometry: transformations, congruence & similarity
- The Pythagorean theorem
- Volume of cylinders, cones & spheres
- Bivariate data & scatter plots
- Logical reasoning & Vedic math
Science
- Atoms, elements & the periodic table
- Chemical reactions & conservation of mass
- Forces and motion; Newton's laws
- Kinetic & potential energy; energy transfer
- Waves: light, sound & information technologies
- Cells & human body systems
- Genetics, heredity & natural selection
- Ecosystems & the flow of energy
- Earth's place in the universe; the solar system
- Earth's systems; plate tectonics
- Human impact & natural resources
Grades 9–10
Algebra, geometry, and high-school physics, chemistry, biology, and earth science.
Algebra, geometry & high-school science
Grade 9
Math
- Expressions, linear equations & inequalities
- Functions & function notation
- Systems of equations and inequalities
- Exponents, polynomials & factoring
- Quadratic functions and equations
- Descriptive statistics & data analysis
Science
- Hypothesis & the scientific method
- Periodic table; environmental chemistry; biochemistry
- Radioactivity (alpha decay)
- Equations of motion; mass, weight & density
- Light and optics
- Characteristics of electricity; electrical principles and technologies
- Cell division; biological diversity
- Ecosystems; biogeochemical cycles
- Earth's systems; Earth's place in the universe; space exploration
Grade 10
Math
- Basics of geometry; parallel and perpendicular lines
- Congruent triangles; relationships within triangles
- Similarity
- Right triangles and trigonometry
- Quadrilaterals and other polygons
- Circles
- Circumference, area & volume
- Transformations
Science
- Separation of substances; metals & non-metals; reactivity series
- Stoichiometry; nuclear chemistry; thermochemistry; thermodynamics
- Forces and motion; contact forces and pressure; fluid mechanics
- Electricity and magnetism; waves and electromagnetic radiation; light
- Energy in the atmosphere and ocean; water systems
- Earth–Sun–Moon system; solar system; life cycle of stars; red shift & blue shift
- Cells; moving cellular material; reproduction and growth
- Genes and heredity; molecular basis of inheritance; natural selection
- The senses and the skeleton
- Systems in action; information technologies; STEM skills & connections
SAT
The admissions test used mainly by universities in the United States. We teach it one subject at a time.
SAT preparation
SAT Math
Math
- Algebra: linear equations, functions, systems & inequalities
- Advanced Math: equivalent expressions & nonlinear functions
- Problem-Solving and Data Analysis: ratios, percentages, probability & inference
- Geometry and Trigonometry: area & volume, triangles, right triangles & circles
- Accuracy, timing & calculator strategy
SAT Reading and Writing
Math
- Craft and Structure: words in context, text structure & purpose, cross-text connections
- Information and Ideas: central ideas, command of evidence, inferences
- Standard English Conventions: boundaries, form, structure & sense
- Expression of Ideas: rhetorical synthesis & transitions
AP
College-level subject courses whose exams can earn college credit. Each AP subject is taught and priced on its own.
AP preparation
AP Calculus AB & BC
Math
- Limits and continuity
- Differentiation & applications of derivatives
- Integration & the fundamental theorem
- Differential equations & accumulation
- Series, parametric & polar functions (BC)
- Free-response technique & justification
AP Precalculus
Math
- Polynomial and rational functions
- Exponential and logarithmic functions
- Trigonometric and polar functions
- Exam technique across the multiple-choice and free-response sections
AP Statistics
Math
- Exploring one-variable data & collecting data
- Probability, random variables & probability distributions
- Inference for categorical data: proportions
- Inference for quantitative data: means
- Regression analysis
AP Physics 1, 2 and both Physics C
Science
- Kinematics & Newton's laws of motion
- Work, energy, momentum & rotation
- Torque, rotational dynamics & oscillations
- Fluids, electricity, circuits & magnetism
- Calculus-based treatment for both Physics C exams
- Lab reasoning & free-response habits
AP Chemistry
Science
- Atomic structure & periodicity
- Bonding, molecular structure & intermolecular forces
- Stoichiometry & chemical reactions
- Thermodynamics & kinetics
- Equilibrium, acids & bases
- Experimental design & data analysis
AP Biology
Science
- Chemistry of life & cell structure
- Cellular energetics: respiration & photosynthesis
- Cell communication & the cell cycle
- Heredity & molecular genetics
- Natural selection & evolution
- Ecology & interacting systems