Elementary School
Show all sectionsGrade 1
Fluency with addition/subtraction within 20, place value, measurement, time, and shapes.
- Addition and subtraction within 20; word problems
- Place value to 120; tens and ones
- Comparing two‑digit numbers
- Length measurement; picture/bar graphs
- Time to the hour and half‑hour; coins
- 2D/3D shapes; halves and fourths
Grade 2
Strategies for multi‑digit addition/subtraction, foundations of multiplication, and data.
- Addition/subtraction within 100 and 1000
- Place value to 1000; skip counting
- Equal groups and arrays (pre‑multiplication)
- Standard units of length; line plots
- Time to five minutes; money problems
- Polygons; partitioning shapes into equal parts
Grade 3
Multiplication/division facts, area/perimeter, and fractions as numbers.
- Multiplication and division; properties and strategies
- Area and perimeter; arrays; unit squares
- Fractions: unit fractions; equivalence and comparison
- Measurement (mass, volume); elapsed time
- Scaled picture/bar graphs
- Geometry: quadrilaterals; right angles
Grade 4
Multi‑digit multiplication/division, fractions, decimals, and angles.
- Multi‑digit multiplication; long division with remainders
- Factors and multiples; prime/composite
- Fractions: equivalence; add/sub with like denominators; fraction × whole
- Decimals (tenths, hundredths); fraction‑decimal connections
- Measurement and conversions; angle measure
- Geometry: lines, rays, symmetry; classifying shapes
Grade 5
Advanced fraction/decimal operations, volume, and coordinate plane.
- Add/subtract fractions (unlike denominators); multiply/divide unit fractions
- Decimals to thousandths; add/sub/multiply/divide decimals
- Volume; line plots with fractional data
- Coordinate plane (Q1); numerical expressions and patterns
- Classifying 2D figures; triangles/quadrilaterals
Middle School
Show all sectionsGrade 6
Ratios and rates, operations with decimals/fractions, negative numbers, and area/volume.
- Ratios, unit rate, percent (intro)
- Divide fractions by fractions; decimal operations
- Negative numbers; ordering rational numbers
- Expressions and one‑step equations/inequalities
- Area, surface area, and volume of prisms
- Statistics: distributions; center and variability
Grade 7
Proportional relationships, signed numbers, two‑step equations, geometry, and probability.
- Proportional relationships; percent problems (tax, discount)
- Operations with rational numbers (signed)
- Linear expressions; equivalent forms
- Two‑step equations and inequalities
- Geometry: angle relationships; circles; area/surface area/volume
- Simple and compound probability; sampling
Grade 8
Linear equations and systems, functions, exponents, and the Pythagorean theorem.
- Linear equations; slope and slope‑intercept form
- Systems of linear equations
- Functions: definitions, tables, graphs
- Integer exponents; scientific notation
- Transformations; congruence and similarity
- Pythagorean theorem; distance on the coordinate plane
High School
Show all sectionsPre‑Algebra (Bridge)
Solid foundation for Algebra 1: number fluency, proportional reasoning, and expressions.
- Arithmetic fluency; factors/multiples; GCF/LCM
- Integers and rational numbers; absolute value
- Ratios, proportions, and percent applications
- Expressions, equations, and inequalities
- Coordinate plane; graphing linear relationships
- Exponents, roots, radicals; scientific notation
Algebra 1
We teach a complete Algebra 1 course with high quality instruction and practice.
- Expressions, equations, and inequalities
- Linear equations and graphs; slope; forms of a line
- Systems of linear equations and inequalities
- Functions and relations; domain/range; function notation
- Exponents and exponential functions; growth/decay
- Polynomials: operations and factoring
- Quadratics: forms, graphing, solving (factoring, completing the square, quadratic formula)
- Radicals and irrational numbers; simple rational expressions
- Data analysis: scatter plots, lines of best fit; sequences
Geometry
Transformations, congruence/similarity, triangle properties, and right‑triangle trigonometry.
- Transformations; congruence and similarity
- Triangle properties; triangle congruence; proofs
- Right triangles and trigonometry (sin, cos, tan)
- Circles: arcs, chords, tangents; angle/segment relationships
- Coordinate geometry: distance, midpoint, equations of circles
- Perimeter, area, surface area, and volume
- Constructions; logic and proof structure
Algebra 2
Polynomial, rational, exponential/logarithmic functions, and sequences/series.
- Polynomial arithmetic; factoring; complex numbers
- Quadratic functions and transformations
- Polynomial functions (zeros; Remainder/Factor Theorems)
- Rational exponents and radicals; radical equations
- Exponential and logarithmic functions; properties/applications
- Rational functions (asymptotes; discontinuities)
- Sequences and series (arithmetic, geometric; sigma)
- Probability and statistics (binomial, normal models)
Trigonometry
Unit circle, trig functions/graphs, identities, equations, and applications.
- Angle measure (degrees/radians); arc length
- Unit circle; definitions of sin/cos/tan and reciprocals
- Graphs and transformations of trig functions
- Trig identities; solving trig equations
- Inverse trig functions
- Law of Sines and Cosines; applications
Precalculus
Function families, advanced trigonometry, vectors/parametrics, and conics.
- Polynomial, rational, exponential, and logarithmic functions
- Advanced trigonometry; identities and equations
- Vectors and parametric equations
- Polar coordinates and graphs; conic sections
- Matrices and systems; determinants (optional)
- Sequences and series; binomial theorem
- Limits and continuity (intro)
Calculus (AB/BC)
Differential and integral calculus, plus series and parametric/polar for BC.
- Limits and continuity; derivatives and applications
- Definite/indefinite integrals; Fundamental Theorem
- Differential equations; exponential growth/decay
- Area and volume (solids of revolution)
- Series and convergence tests; Taylor/Maclaurin (BC)
- Parametric and polar calculus; improper integrals (BC)
Statistics and Probability
Data analysis, probability models, and statistical inference.
- Exploring data; z‑scores; normal model
- Sampling and experimental design
- Probability rules; random variables
- Binomial, geometric, normal, t distributions
- Confidence intervals and hypothesis tests
- Chi‑square tests; regression inference
College
Show all sectionsCalculus (Single & Multivariable)
Rigorous calculus sequence with proofs and applications.
- Limits, continuity, differentiation, and integration
- Sequences/series; power/Taylor series
- Parametric/polar; vectors and partial derivatives
- Multiple integrals; vector calculus (Green/Stokes)
Linear Algebra
Matrix methods and theoretical vector space foundations.
- Systems and matrices; inverses; determinants
- Vector spaces; bases; dimension
- Eigenvalues/eigenvectors; diagonalization
- Orthogonality; least squares; SVD (intro)
Discrete Mathematics
Logic, combinatorics, graphs, and proof techniques for CS and math.
- Logic and proofs; sets and functions
- Counting; permutations/combinations; recursion
- Graphs and trees; algorithms (intro)
- Number theory; modular arithmetic
Differential Equations
First‑order and linear systems with applications in science/engineering.
- First‑order ODEs; existence/uniqueness; direction fields
- Linear ODEs; Laplace transforms
- Systems; eigenanalysis; phase plane
- Fourier series; PDEs (intro)
Adult Learning
Show all sectionsMath Refreshers
Customized refreshers covering arithmetic to algebra and geometry basics.
- Whole numbers, fractions, decimals, and percent
- Ratios, proportions, and equations
- Geometry essentials; measurement and units
- Data literacy; graphs and summaries
Business & Financial Math
Everyday quantitative skills for work and personal finance.
- Spreadsheets and data tables
- Interest, loans, and investment growth
- Rates, indices, and inflation
- Decision making with data
Math for CS
Essential math for computing and data science.
- Discrete math (logic, sets, combinatorics)
- Linear algebra for ML
- Probability and statistics
- Optimization (intro)