Grade 4-6 Mathematics

Work through the topics in order, or jump to the one you need.

  1. Place Value Grade 4 place value with a Grade 5 bridge: each place is 10 times the place to its right, periods and commas, standard, word and expanded form, comparing with >, < and =, rounding to any place, powers of 10 and decimal places.
  2. Addition & Subtraction Grade 4 addition and subtraction with the standard algorithm: regrouping, subtracting across zeros, estimating to check, checking with the inverse, bar models for word problems, and a Grade 5 bridge to adding and subtracting decimals.
  3. Multiplication Grade 4–5 multiplication step by step: "times as many" comparisons, multiplying by 10, 100 and 1,000, area models, partial products, the over strategy, the standard algorithm and estimating to check.
  4. Prime Factors, HCF & LCM Grade 5–6 number theory: arrays and factor pairs, the factor rainbow, quick divisibility tests, multiples and the least common multiple, factors vs multiples, prime and composite numbers, factor trees, the HCF, number patterns and pattern rules, and smart grouping for mental multiplication.
  5. Fractions Grade 5 fractions from start to finish: numerator and denominator, equivalent fractions and simplest form, comparing and ordering, mixed numbers and improper fractions, adding and subtracting like and unlike fractions, the clock model, estimating with benchmarks, multiplying with area models, dividi
  6. Decimals Grade 5 decimals: tenths, hundredths and thousandths, the place value chart, standard, word and expanded form, decimals and money, comparing and ordering with helper zeros, rounding, lining up the decimal point, estimating, adding and subtracting with money and measurement, and multi-step shopping p
  7. Area & Perimeter Grade 5 area: area vs perimeter, square units, counting rows and columns, A = l × w for rectangles, why the units are squared, A = b × h for parallelograms using the perpendicular height, multi-step problems (painting, carpets, costs) and common mistakes.
  8. Volume Grade 5 volume: what volume and cubic units are, building a box layer by layer, the rules V = l × w × h and V = B × h, multiplying in any order, every box made from 24 cubes, finding the volume of irregular shapes, and real-life volume problems.
  9. Order of Operations & Exponents Grade 6 Honors: base and exponent, special powers (zero and first power), comparing powers and finding a missing exponent, why we need an order of operations, PEMDAS, multiplication and division left to right, exponents before multiplying, nested brackets, and real-life multi-step expressions.
  10. Ratios & Proportional Relationships Grade 6 ratios: writing a ratio three ways, part-to-part and part-to-whole, equivalent ratios and simplest form, tape diagrams for total, one-part and difference problems, three-part ratios, ratio tables, better buys, graphing ratios, proportional vs non-proportional relationships and converting uni
  11. Ratios & Rates Grade 6 rates: ratio vs rate vs unit rate, finding a unit rate by dividing, two unit rates for every rate, double number lines, speed = distance ÷ time, decimal and fraction unit rates, comparing rates and choosing the best deal. 🎥 1 video
  12. Percents Grade 6 percents: percent means "out of 100", converting between percents, fractions and decimals, benchmark percents, comparing and ordering, finding a percent of a number, finding the whole, finding the percent, and real-life discounts, tips and sales tax.
  13. Integers Grade 6 integers: what integers are, real-life negative numbers (temperature, sea level, money, floors), the number line, comparing and ordering integers, opposites, absolute value as distance from zero, and real-world problems.