Grade 4 math

Units

1. 1

   Multiply, divide and solve problems

   4 lessons

   1. Multiplicative comparison: times as manyDraw bars of equal boxes and write a number sentence to find an amount or how many times.
   2. Multistep word problems and interpreting remaindersWrite a number sentence for each step, decide what the leftovers mean, and check answers with an easy guess.
   3. Factors, multiples, primes and compositesFind factor pairs, spot multiples, and tell if a whole number up to 100 is prime or composite.
   4. Generating and analysing patternsMake a pattern from a rule, and explain something else true about it that the rule does not say.
2. 2

   Place value and multi-digit math

   6 lessons

   1. A digit is worth ten times as much one place to the leftExplain what a digit is worth, multiply a whole number by 10 on a chart, and count all the tens or hundreds in a number.
   2. Read, write and compare multi-digit numbersRead and write numbers up to 1,000,000 in digits, in words and as a sum, then compare them by what each digit is worth.
   3. Rounding multi-digit numbers to any placeRound to a chosen place using the two round numbers on each side and halfway; use rounded numbers to check a total.
   4. Adding and subtracting with the standard algorithmAdd and take away big numbers in lined-up columns, trading ten for one; check a take-away answer by adding back.
   5. Multiplying multi-digit numbers with area models and partial productsBreak numbers into tens and ones, multiply every part, and add the parts to find the product.
   6. Dividing multi-digit numbers by one-digit divisorsDivide numbers up to four digits by one digit by sharing blocks, taking out easy chunks, or using a rectangle; say what the remainder means and check.
3. 3

   Equivalent fractions and comparing

   2 lessons

   1. Why equivalent fractions are equal: n × a / n × bExplain why cutting every slice into the same number of pieces keeps the amount the same, and write an equivalent fraction.
   2. Comparing fractions with different numerators and denominatorsCompare and put in order fractions of the same-sized whole, using 1/2 or pieces of the same size, and write <, > or =.
4. 4

   Adding and multiplying fractions

   3 lessons

   1. Fractions as sums of unit fractionsWrite fractions as sums of equal pieces, group the pieces in new ways, and count wholes in those pieces.
   2. Adding and subtracting fractions and mixed numbers with like denominatorsSolve fraction and mixed-number problems with the same bottom number, using a bar or number line and a number sentence.
   3. Multiplying a fraction by a whole numberCount equal fraction amounts, find how much they make in all, and say which whole numbers the total sits between.
5. 5

   Decimal fractions

   3 lessons

   1. Tenths as hundredths, and adding themWrite tenths as hundredths, then add tenths and hundredths using a grid and a number sentence.
   2. Writing tenths and hundredths as decimalsWrite tenths and hundredths as decimals and find them on a number line.
   3. Comparing decimals to hundredthsCompare decimals to hundredths, write >, < or =, and explain why with place value or a picture.
6. 6

   Measurement, data and angles

   7 lessons

   1. Relative sizes of units and converting to smaller unitsChange bigger units into smaller units, also for measurements like 4 ft 7 in, and fill in tables of matching amounts.
   2. Word problems with distances, time, volume, mass and moneySolve measuring problems: draw a time line or bar, put both amounts in one unit, pick +, −, × or ÷, and say the answer’s unit.
   3. Area and perimeter formulas for rectanglesFind a rectangle’s area or perimeter, even when one side is missing.
   4. Line plots of measurements in fractions of a unitMake a line plot with evenly spaced marks, and use it to find the most common length, how far the shortest is from the longest, and a total length.
   5. Angles as turns measured in degreesFind the degrees in a fraction of a full turn, and in a clock hand’s turn.
   6. Measuring and drawing angles with a protractorMeasure and draw angles with a protractor, and check each one against a 90° square corner.
   7. Angle measure is additive: finding unknown anglesWrite and solve a number sentence for a missing angle, using its parts and the whole.
7. 7

   Lines, angles and shapes

   3 lessons

   1. Points, lines, rays, segments, angles, perpendicular and parallel linesDraw and name these figures, tell what kind each angle is, and find pairs of lines that are parallel or perpendicular.
   2. Classifying two-dimensional figures by lines and anglesSort shapes by their parallel sides and their angle sizes, and spot right triangles even when they are turned.
   3. Lines of symmetryFind and draw all the fold lines where a shape matches itself, then finish a shape across a given fold line.