Prime Facts
PrimePrep covers the full K-12 math progression across 18 levels, from counting (ages 3-4) through introductory calculus (ages 17-18). The curriculum contains 156 skills and 375+ problem templates. Every problem is generated from parameterized templates with randomized values, producing roughly 6.9 million unique problem instances across the system.
Students begin with an adaptive diagnostic placement test that identifies their starting level. From there, progression is mastery-based — a student advances to the next skill only after demonstrating speed and accuracy on the current one. Because problems are generated (not pulled from a static bank), a student can practice any skill indefinitely without repetition.
Level overview
Early Foundation (Levels 1-4, ages 3-5)
12 skills — number sense and counting
- L1: Counting to 15
- L2: Counting to 40
- L3: Number sequences to 150
- L4: Sequences to 300, skip counting
Arithmetic (Levels 5-8, ages 5-8)
23 skills — addition, subtraction, place value
- L5: Addition +1, +2, +3
- L6: Addition & subtraction basics (+4 through +10, -1 through -10)
- L7: Horizontal addition & subtraction, making 10, adding 3 numbers
- L8: Vertical addition & subtraction (2-3 digits), carrying & borrowing, word problems
Multiplication, Division & Fractions (Levels 9-12, ages 8-12)
51 skills — times tables through decimals and ratios
- L9: Multiplication (times tables 2-9), division, remainders, perimeter & area
- L10: Long multiplication & division, GCF, intro fractions, volume
- L11: Fraction operations (add, subtract, multiply, divide), mixed numbers
- L12: Decimal operations, order of operations (PEMDAS), ratios, percentages, circles
Algebra & Beyond (Levels 13-18, ages 12-18)
70 skills — pre-algebra through introductory calculus
- L13: Integer arithmetic, simplifying expressions, one & two-step equations, statistics
- L14: Linear equations, simultaneous equations, inequalities, slope, FOIL
- L15: Exponents & roots, quadratic formula, factoring, Pythagorean theorem
- L16: Complex numbers, polynomial division, discriminant, sum & product of roots
- L17: Sequences & series, logarithms, function composition, permutations & combinations
- L18: Limits, derivatives, integration, chain & product rules, area between curves
By the numbers
- 18 levels spanning ages 3 to 18
- 156 individual skills
- 375+ parameterized problem templates
- ~6.9 million unique problem instances
- Covers: counting, arithmetic, fractions, decimals, algebra, geometry, statistics, trigonometry basics, and introductory calculus
How long does the material last?
Traditional worksheet-based math programs use a fixed bank of roughly 4,000 printed worksheets across their full curriculum. Once a student has cycled through them, the material is exhausted.
PrimePrep generates every problem from parameterized templates with randomized values — producing approximately 6.9 million unique problem instances across 375+ templates. A student completing 20 problems per day, 5 days a week, would need 3-5 years to work through the full progression from Level 1 to Level 18. And because problems are generated, not drawn from a static bank, there is no ceiling on practice — a student can work on any skill indefinitely without ever seeing the same problem twice.
Additional levels covering trigonometry, advanced calculus, and differential equations are planned.