US homeschool curriculum · 4th grade

4th Grade Math

A self-paced online Math course for 4th grade: 44 lessons across 9 units. A short placement quiz finds the right starting point, practice adapts as your child answers, and every lesson is marked automatically with progress reported to you.

• Every lesson has at least two different question styles, with hints and step-by-step worked solutions.
• Struggling triggers a gentler re-teach and a warm-up on the missing building block — never a visible drop in score.
• Work this course at its own level: a child can take 4th Grade Math alongside a different grade in Language Arts.

What your child learns

The scope and sequence below is generated from the live curriculum, so it is always what the app actually teaches.

• Number and place value

  • Numbers to 1,000,000 in words and figures: Can read a number up to a million written in words and write it in figures.
  • Place value to 1,000,000: Can say what any digit in a six-digit number is worth.
  • Powers of 10 more or less: Can find 10, 100, 1,000, 10,000 or 100,000 more or less than a number.
  • Order numbers to 1,000,000: Can put large numbers in order and compare them.
  • Negative numbers in context: Can count through zero and work out temperature changes.
  • Round to 10, 100, 1,000, 10,000 and 100,000: Can round any number up to a million to a given power of ten.
  • Roman numerals to 1,000: Can read Roman numerals up to M, including years.

• Addition and subtraction

  • Column addition beyond four digits: Can add two numbers with five or six digits using the column method.
  • Column subtraction beyond four digits: Can subtract numbers with five or six digits using the column method, with exchanging.
  • Mental addition and subtraction of large numbers: Can add or subtract multiples of 100 or 1,000 from a large number in your head.
  • Multi-step problems: Can solve a two-step problem, deciding which operations to use.
  • Estimate to check: Can choose a sensible estimate for a calculation by rounding.

• Multiplication and division

  • Factors and multiples: Can find factors, common factors and common multiples.
  • Prime numbers: Can say whether a number is prime and recall the primes to 19.
  • Square and cube numbers: Can work out squares up to 12² and cubes up to 5³.
  • Multiply and divide by 10, 100 and 1,000: Can multiply or divide whole numbers and decimals by 10, 100 or 1,000.
  • Four-digit times one-digit: Can multiply a four-digit number by a one-digit number using short multiplication.
  • Long multiplication: Can multiply a two- or three-digit number by a two-digit number.
  • Short division with remainders: Can divide a number up to four digits by a one-digit number and give the remainder.
  • Scaling problems: Can scale a recipe or rate up or down.

• Fractions (and decimals, percentages)

  • Compare fractions: Can compare two fractions whose denominators are multiples of each other.
  • Equivalent fractions: Can find the missing number in a pair of equivalent fractions.
  • Mixed numbers and improper fractions: Can change between mixed numbers and improper fractions.
  • Add and subtract fractions: Can add and subtract fractions whose denominators are multiples of each other.
  • Multiply a fraction by a whole number: Can multiply a fraction by a whole number.
  • Thousandths and decimal place value: Can say what each digit in a number with up to three decimal places is worth.
  • Round decimals: Can round a decimal to the nearest whole number or to one decimal place.
  • Percentages: Can find simple percentages of amounts and match them to fractions.

• Measurement

  • Convert metric units with decimals: Can convert between km/m, m/cm, kg/g and l/ml, including decimals.
  • Perimeter of composite shapes: Can find the perimeter of an L-shape from its side lengths.
  • Area of rectangles: Can calculate the area of a rectangle in cm² or m².
  • Volume by counting cubes: Can find the volume of a rectangular prism made of centimeter cubes.
  • Time problems: Can work out how long something lasts, across the hour.
  • Customary unit relationships: Knows how many inches are in a foot, feet in a yard, ounces in a pound, and cups, pints, quarts and gallons.
  • Add and subtract dollars and cents: Can add and subtract money written with a decimal point.

• Geometry: properties of shapes

  • Acute, obtuse and reflex angles: Can classify an angle from its size in degrees.
  • Missing angles on a line or at a point: Can find a missing angle on a straight line, around a point or in a right angle.
  • Regular and irregular polygons: Can say whether a polygon is regular and use the properties of rectangles.

• Geometry: position and direction

  • Reflect a point: Can find where a point ends up after reflecting in a vertical or horizontal mirror line.
  • Translate a point: Can find the new coordinates of a point after a translation.

• Statistics

  • Read a line graph or table: Can read values from a table of readings and find differences.
  • Schedules: Can use a schedule to find journey times.
  • Line plots with eighths: Can read a line plot in eighths and add or subtract the fractions in it.

• Algebra

  • Patterns from a rule: Can continue a number pattern from a rule and notice features of it.

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