US homeschool curriculum · 2nd grade

2nd Grade Math

A self-paced online Math course for 2nd grade: 51 lessons across 7 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 2nd 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

  • Count in steps of 4, 8, 50 and 100: Can continue a counting sequence forwards or backwards in 4s, 8s, 50s or 100s.
  • 10 or 100 more or less: Can find 10 or 100 more or less than any number up to 1,000.
  • Hundreds, tens and ones: Can say what each digit in a three-digit number is worth.
  • Compare and order numbers to 1,000: Can compare two numbers with <, > or = and put a set of numbers in order.
  • Numbers to 1,000 in words and numerals: Can read and write any number up to 1,000 in words and in figures.
  • Split numbers in different ways: Can split a three-digit number into hundreds, tens and ones in more than one way (e.g. 340 = 200 + 140).
  • Estimate on a number line: Can estimate the number an arrow points to on a 0–100 or 0–1,000 number line.
  • Number problems with place value: Can solve a word problem that uses place value, such as making the biggest number from three digits.

• Addition and subtraction

  • Add and subtract ones, tens and hundreds in your head: Can mentally add or subtract a one-digit number, a multiple of 10 or a multiple of 100 to a three-digit number.
  • Column addition (up to three digits): Can add two numbers up to 999 using the column method, carrying when needed.
  • Column subtraction (up to three digits): Can subtract numbers up to 999 using the column method, exchanging when needed.
  • Estimate and check with the inverse: Can estimate an answer by rounding and check a calculation using the inverse operation.
  • Missing-number problems: Can find the missing number in an addition or subtraction sentence.
  • Addition and subtraction word problems: Can decide whether to add or subtract in a one- or two-step word problem and solve it.
  • Add and subtract near multiples of 10 and 100: Can add or subtract 9, 11, 99 or 101 by adjusting (e.g. 345 + 99 = 345 + 100 − 1).
  • Add up to four two-digit numbers: Can add three or four two-digit numbers using place value.

• Multiplication and division

  • 3, 4 and 8 times tables: Can recall multiplication and division facts for the 3, 4 and 8 times tables.
  • Two-digit times one-digit: Can multiply a two-digit number by a one-digit number using splitting or a written method.
  • Multiplication and division word problems: Can solve one-step multiplication and division problems, including sharing and grouping.
  • 2, 5 and 10 times tables: Can recall multiplication and division facts for the 2, 5 and 10 times tables quickly.
  • Missing numbers in multiplication and division: Can find the missing number in a multiplication or division sentence (e.g. 4 × ? = 32).
  • Scaling: times as many: Can work out '3 times as many' or 'twice as long' problems.

• Fractions (and decimals, percentages)

  • Count in tenths: Can count up and down in tenths and knows that ten tenths make one whole.
  • Unit fractions of amounts: Can find 1/2, 1/3, 1/4, 1/5 or 1/10 of a number or set.
  • Non-unit fractions of amounts: Can find 2/3, 3/4, 3/5 or 7/10 of a number by finding one part then multiplying.
  • Fractions on a number line: Can place fractions with the same denominator on a 0–1 number line.
  • Equivalent fractions: Can recognize simple equivalent fractions such as 1/2 = 2/4 = 3/6.
  • Add and subtract fractions with the same denominator: Can add or subtract fractions with the same denominator within one whole (e.g. 5/7 + 1/7 = 6/7).
  • Compare and order fractions: Can compare unit fractions, and fractions with the same denominator, using < and >.

• Measurement

  • Convert between m, cm and mm: Can convert between meters and centimeters, and centimeters and millimeters.
  • Add and subtract lengths: Can add and subtract lengths given in the same unit, and compare them.
  • Mass in grams and kilograms: Can convert between kilograms and grams and add or subtract masses.
  • Capacity in milliliters and liters: Can convert between liters and milliliters and add or subtract capacities.
  • Perimeter of rectangles: Can work out the perimeter of a rectangle or square from its side lengths.
  • Tell the time to the nearest minute: Can say the time as 'minutes past' or 'minutes to' the hour, and write it in digits.
  • How long does it take?: Can work out how long an event lasts, or when it finishes, in hours and minutes.
  • Units of time: Knows the number of seconds in a minute, minutes in an hour, hours in a day, days in each month and in a year.
  • Count coins and dollars: Can find the total of a handful of coins and dollar bills.
  • Money problems and change: Can add prices and work out change from a dollar or more.
  • Inches, feet and yards: Can pick and estimate with inches, feet and yards, and knows a smaller unit takes more of them.
  • Temperature in Fahrenheit: Knows what everyday temperatures feel like in degrees Fahrenheit and can work out a rise or fall in temperature.

• Geometry: properties of shapes

  • Right angles and turns: Knows that a right angle is a quarter turn, two make a half turn and four make a whole turn.
  • Bigger or smaller than a right angle: Can say whether an angle is a right angle, smaller than one (acute) or bigger than one (obtuse).
  • Horizontal, vertical, parallel and perpendicular: Can describe lines as horizontal, vertical, parallel or perpendicular.
  • Properties of 2D shapes: Knows the number of sides and vertices of common 2D shapes and which have right angles.
  • Properties of 3D shapes: Knows the number of faces, edges and vertices of cubes, rectangular prisms, pyramids, prisms, cylinders, cones and spheres.
  • Rows and columns of squares: Can count the squares in a rectangle made of rows and columns.

• Statistics

  • Read a picture graph: Can read a picture graph where each symbol stands for 2, 5 or 10, including half symbols.
  • Read a bar graph: Can read values from a bar graph with a scale of 2, 5 or 10 and answer 'how many more' questions.
  • Two-step questions from a table: Can answer questions from a table that need two steps, such as a total or a difference.
  • Line plots with whole numbers: Can read a line plot of measurements to the nearest whole unit.

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