Imagine a course that unfolds like a favourite recipe: measured, warm, and thoroughly satisfying. For you, age 15, this accelerated Prealgebra–Geometry sequence is a two-semester feast, with a separate full Geometry course to follow.
Semester 1 — Prealgebra 1 (weeks 1–16): we begin with arithmetic rules and exponent laws, tasting squares and negative exponents; we test divisibility, peel back primes and prime factorization; we find least common multiples and greatest common divisors. Then fractions in two acts, linear equations, advanced equations and word problems, inequalities, decimals, ratios and proportions, and conversions, rates and speed. Each week is a focused course: practice problems first, then rich solutions that teach technique.
Semester 2 — Prealgebra 2 (weeks 1–16): we simmer with percents and percent change, fold in squares and square roots and arithmetic with radicals. Geometry spices arrive: angles, parallel lines, polygons, perimeter and area, triangles, circles, the Pythagorean theorem and special triangles, quadrilaterals. We finish with basic statistics, graphs, counting as arithmetic, probability, and a final week of problem-solving strategies—stirring everything together so ideas blend and deepen.
Full Geometry (separate book): a luxuriant study of triangles, similarity and congruence, polygons, circles, power of a point, 3D geometry, transformations, analytic geometry and introductory trigonometry. Over 900 problems with complete solutions invite exploration and creative proof-writing.
Throughout, our innovative Alcumus platform and free video library align with each chapter—immediate practice, guided review, and the gentle rigor you need to accelerate with confidence. Each section opens with problems to try first, followed by full solutions and highlighted strategies; the solutions manual provides step-by-step answers for every problem, supporting independent study and accelerated pacing.