Steply

Foundations

43 lessons · 961 problems solved step by step

  1. Integers · add, subtract, multiply, divide (25 problems)
  2. Negative numbers in real life · temperature, height, money; distance between two numbers (24 problems)
  3. Negative fractions and decimals · + − × ÷ with the sign rules (23 problems)
  4. Order of operations (24 problems)
  5. Number properties for mental math · order, grouping, distributive, GCF out, naming the property (24 problems)
  6. Factors and multiples · factor pairs, primes, factor tree, GCF, LCM (24 problems)
  7. Divisibility tests (21 problems)
  8. Sets · listing, ∪, ∩, complement, n( ) with a Venn diagram (20 problems)
  9. Venn diagrams with numbers · find the middle or the outside (20 problems)
  10. Cartesian product A × B (20 problems)
  11. Fractions · simplify, mixed numbers, multiply, divide, add, subtract (24 problems)
  12. Decimals · add, subtract, multiply, divide, rounding (24 problems)
  13. Fractions and decimals · fraction to decimal, decimal to fraction (24 problems)
  14. Comparing and ordering numbers (24 problems)
  15. Ordering mixed numbers and repeating decimals (20 problems)
  16. Repeating decimals to fractions · call it x, move the point, take away, divide (23 problems)
  17. Significant figures and estimating (24 problems)
  18. Upper and lower bounds of a measurement (20 problems)
  19. Bounds in calculations · area, perimeter, speed, x + y, x − y, x × y, x ÷ y (20 problems)
  20. Percent · percent of, find the percent, percent change (25 problems)
  21. Percents, decimals and fractions (24 problems)
  22. Percent · find the whole (20 problems)
  23. Percent · harder cases (22 problems)
  24. Percents and money (21 problems)
  25. Percent error · how far off, over the actual, as a percent (24 problems)
  26. Ratios, unit rates, compare deals (25 problems)
  27. Ratios with units (21 problems)
  28. Sharing in a ratio (20 problems)
  29. Converting units (22 problems)
  30. Proportional relationships · y ÷ x the same, k, y = kx (22 problems)
  31. Unit rates with fractions · divide by the "per" amount, flip and multiply (22 problems)
  32. Density, pressure, population density (20 problems)
  33. Exchange rates (20 problems)
  34. Powers, square roots, absolute value (24 problems)
  35. Estimating square roots (21 problems)
  36. Rational or irrational (23 problems)
  37. Solve x² = 49 and x³ = 27 · square root (two answers) or cube root (one answer) of both sides (24 problems)
  38. Mean, median, mode, range (27 problems)
  39. Frequency tables (21 problems)
  40. Statistical questions and the shape of data · do the answers vary; center, spread, peak, gaps, tail (22 problems)
  41. Mean absolute deviation · the mean distance from the mean; comparing spreads (22 problems)
  42. Circle graphs · each part of 360°, draw the slices; back from an angle (20 problems)
  43. Samples and predictions · the fraction in the sample, used for everyone; good or biased samples (21 problems)