PA / Foundation
Number Meadow
Build a foundation in number structure, algebra, geometry and mathematical reasoning.
Preparation: Whole-number arithmetic and a willingness to explain your thinking.
Current coverage: 15 topic levels, from signed numbers to a problem-solving toolkit.
LEVEL 1 · DIFFICULTY 1/5 within this course
Use signed numbers, operation structure and reciprocals to explain calculations.
Choose an island to read its lesson.
3 stages · 24 library problems · 147 checked variations · 2 × 6 assessment questions
Read the lessons →LEVEL 2 · DIFFICULTY 1/5 within this course
Reason about repeated multiplication, exponent laws and reciprocal powers.
Choose an island to read its lesson.
3 stages · 24 library problems · 149 checked variations · 2 × 6 assessment questions
Read the lessons →LEVEL 3 · DIFFICULTY 1/5 within this course
Use divisibility and prime structure to solve factor and multiple problems.
Choose an island to read its lesson.
6 stages · 48 library problems · 298 checked variations · 2 × 12 assessment questions
Read the lessons →LEVEL 4 · DIFFICULTY 2/5 within this course
Compare, combine and reinterpret quantities measured in equal parts.
Choose an island to read its lesson.
3 stages · 24 library problems · 130 checked variations · 2 × 6 assessment questions
Read the lessons →LEVEL 5 · DIFFICULTY 2/5 within this course
Represent unknown quantities and justify each transformation.
Choose an island to read its lesson.
3 stages · 24 library problems · 150 checked variations · 2 × 6 assessment questions
Read the lessons →LEVEL 6 · DIFFICULTY 2/5 within this course
Connect place value, fractions, rounding and repeating patterns.
Choose an island to read its lesson.
3 stages · 24 library problems · 150 checked variations · 2 × 6 assessment questions
Read the lessons →LEVEL 7 · DIFFICULTY 3/5 within this course
Compare related quantities and coordinate changes across units.
Choose an island to read its lesson.
3 stages · 24 library problems · 150 checked variations · 2 × 6 assessment questions
Read the lessons →LEVEL 8 · DIFFICULTY 3/5 within this course
Find parts, recover wholes and reason about successive changes.
Choose an island to read its lesson.
3 stages · 24 library problems · 149 checked variations · 2 × 6 assessment questions
Read the lessons →LEVEL 9 · DIFFICULTY 3/5 within this course
Describe a sample space and count possibilities without omission or duplication.
Choose an island to read its lesson.
3 stages · 24 library problems · 148 checked variations · 2 × 6 assessment questions
Read the lessons →LEVEL 10 · DIFFICULTY 4/5 within this course
Estimate roots, simplify radical structure and keep exact quantities.
Choose an island to read its lesson.
3 stages · 24 library problems · 148 checked variations · 2 × 6 assessment questions
Read the lessons →LEVEL 11 · DIFFICULTY 4/5 within this course
Use stated geometric relationships to justify angle calculations.
Choose an island to read its lesson.
3 stages · 24 library problems · 150 checked variations · 2 × 6 assessment questions
Read the lessons →LEVEL 12 · DIFFICULTY 4/5 within this course
Choose appropriate measurements and decompose composite regions.
Choose an island to read its lesson.
3 stages · 24 library problems · 150 checked variations · 2 × 6 assessment questions
Read the lessons →LEVEL 13 · DIFFICULTY 4/5 within this course
Connect side lengths, angle structure and shape properties.
Choose an island to read its lesson.
3 stages · 24 library problems · 138 checked variations · 2 × 6 assessment questions
Read the lessons →LEVEL 14 · DIFFICULTY 5/5 within this course
Summarize actual observations, read displays and examine what summaries omit.
Choose an island to read its lesson.
3 stages · 24 library problems · 149 checked variations · 2 × 6 assessment questions
Read the lessons →LEVEL 15 · DIFFICULTY 5/5 within this course
Choose, explain and check strategies across unfamiliar contexts.
Choose an island to read its lesson.
3 stages · 24 library problems · 150 checked variations · 2 × 6 assessment questions
Read the lessons →Clear a stage by independently solving two different routine problems and one application in a new context. Hints help you learn; hinted answers and repeated solves do not count toward that target. Clear every stage to clear a level.
Every stage includes an explanation, two worked examples and eight library practice problems, plus checked variations with changing numbers and applications. Each level also has a separate unit test and a later review form. Parents see actual attempts, hint use and results.
These are independently authored core-skills courses, with the current scope listed for each course. They do not reproduce complete textbook contents. Difficulty describes the teaching sequence within each course; course preparation matters when comparing subjects. This site is not affiliated with or endorsed by AoPS. Results reflect these exercises and are not standardized scores. Content release math-courses-2026.09.08-v4.
