They describe a typical sequence, not your intelligence or a ceiling.
A complete route · not a single grade score
Walk mathematics from counting through Grade 12.
The course is organized as a familiar K–12 map, but your evidence stays attached to individual concepts and strands. You can move forward in one branch while repairing a much earlier gap in another.
Algebra, geometry, number, and data evidence are reported separately.
Ordinary practice continues to refine what is observed, inferred, or still uncertain.
K–12 pathway map
Choose any stage to inspect its strands.
Kindergarten foundations
Build meaning for quantity, operations, measurement, and shape.
- Counting and quantity
- Putting together and taking apart
- Shape, measurement, and sorting
Grade 1 connections
Connect visible quantities to flexible facts, equations, place value, time, and data.
- Addition and subtraction relationships
- Two-digit place value
- Measure, tell time, and partition shapes
Grade 2 workshop
Use place value through 1,000 while building operation, measurement, data, and geometry fluency.
- Place-value operations
- Hundreds and equal groups
- Measurement, money, data, and shape
Grade 3 multiplication bridge
Build multiplication, division, fractions, area, perimeter, and data from concrete models.
- Multiplication and division meaning
- Fractions as numbers
- Area, perimeter, time, and data
Grade 4 multi-digit reasoning
Generalize place value and operations while deepening fractions, angles, and measurement.
- Multi-digit operations
- Fraction equivalence and decimals
- Angles, shape, and measurement data
Grade 5 pre-algebra foundations
Connect fraction and decimal operations to volume, coordinates, patterns, and numerical expressions.
- Decimals and fraction operations
- Expressions and patterns
- Volume and coordinate geometry
Grade 6 ratios and variables
Move from arithmetic into ratios, rational numbers, variables, geometry, and distributions.
- Ratios, rates, and percent
- Rational numbers and expressions
- Geometry and statistical distributions
Grade 7 proportional reasoning
Use proportional relationships and signed arithmetic to solve equations, geometry, and probability problems.
- Proportions and percent applications
- Rational operations and equations
- Geometry, sampling, and chance
Grade 8 linear foundations
Unify equations, functions, exponents, transformations, geometry, and bivariate data.
- Linear equations and functions
- Exponents and real numbers
- Transformations and bivariate data
Grade 9 algebra pathway
Model relationships with equations, inequalities, functions, and data instead of treating Algebra I as isolated symbol work.
- Equations, inequalities, and systems
- Functions and modeling
- Expressions and introductory quadratics
Grade 10 geometry pathway
Develop geometric reasoning, proof, similarity, coordinate methods, circles, and measurement modeling.
- Transformations and proof
- Similarity and right-triangle trigonometry
- Coordinate geometry, circles, and measurement
Grade 11 advanced algebra pathway
Extend function families, complex numbers, polynomial and rational structure, and quantitative modeling.
- Polynomial, rational, radical, and exponential functions
- Complex numbers and algebraic structure
- Sequences, probability, and data models
Grade 12 pathways and capstones
Choose a goal-directed route through precalculus, statistics, calculus readiness, or practical quantitative reasoning.
- Precalculus and trigonometry
- Statistics and probability
- Calculus readiness and applied mathematics