Foundations & Numeracy
Build a practical rational-number toolkit for fractions, decimals, percents, ratios, rates, scaling, and real-world decisions.
Course structure
All 8 modules offer short lessons, feedback-driven practice, a mastery check, and saved progress for learners with an account.
These courses strengthen preparation but are not strict prerequisites.
Learning outcomes
Evidence-informed design
Fractions, Decimals, Percents, and Ratios uses original lessons, models, explanations, feedback, and assessments. Its architecture uses these open sources to make sure the sequence and representations build genuine understanding.
Fractions as numbers, number lines, meaningful procedures, and proportional reasoning before shortcuts.
Systematic instruction, precise mathematical language, visual representations, and cumulative practice.
A coherent progression through fractions, decimals, ratios, percents, and proportional relationships.
Worked examples, interleaved practice, re-exposure, and explanations that connect models with symbols.
Multiple representations, response methods, and graduated supports that do not block progress.
Module outline preview
Estimated times add up to the course’s learning time. Every module is available now.
Name the whole, build equal units, and place fractions and mixed numbers on a number line.
Keep a quantity fixed while changing its name, then compare fractions with evidence.
Combine common units, scale deliberately, and explain fraction multiplication or division in context.
Read decimal units, compare and round values, and calculate with an estimate for checking.
Bridge fractions, decimals, and percents at the same point on the number line.
Use a labeled 100% base for percent amounts, unknowns, discounts, tax, tips, and percent change.
Use labeled ratios, unit rates, ratio tables, and double number lines before shortcuts.
Choose and defend an efficient fraction, decimal, percent, or proportional-reasoning strategy in mixed decisions.
Course status
Begin with the first module or choose any module above to review a specific arithmetic strategy.
Recommended learning paths
These paths show a recommended order. Branches identify connected study that can follow once prerequisites are complete.
Learning path
A steady numerical foundation for daily problem-solving and future study.
End capabilityUse core numerical and pre-algebra skills confidently in everyday and future academic mathematics.