Quick addition and subtraction facts
Students start the year getting fast with small addition and subtraction problems in their head. By the end of this stretch, they know answers like 8 plus 7 without counting on their fingers.
This is the year math grows past 100 and starts thinking in hundreds, tens, and ones. Students add and subtract within 1,000, learn their addition and subtraction facts by heart, and start measuring real objects with rulers in inches and centimeters. They also tell time on a clock and count coins. By spring, students can read a three-digit number, add two-digit numbers in their head, and split a rectangle into equal halves, thirds, or fourths.
Students start the year getting fast with small addition and subtraction problems in their head. By the end of this stretch, they know answers like 8 plus 7 without counting on their fingers.
Students learn that the 3 in 347 means three hundreds, not just a three. They read, write, and compare numbers up to 1000 and count by twos, fives, tens, and hundreds.
Students use what they know about hundreds, tens, and ones to add and subtract numbers up to 100, and then up to 1000. Word problems show up often, with the missing number in different spots.
Students measure objects with rulers and yardsticks in inches and centimeters. They tell time to the nearest five minutes on a real clock and count coins and dollar bills to solve everyday problems.
Students name shapes by their sides and corners, split circles and rectangles into halves, thirds, and fourths, and read picture graphs and bar graphs to answer questions about the data.
Students add and subtract to solve word problems, figuring out how many are left, how many more are needed, or what the total is. The numbers stay within 100.
Students solve addition and subtraction word problems using numbers up to 100. They show their thinking with drawings, objects, or equations, and the missing number can appear anywhere in the problem.
Students practice adding and subtracting numbers up to 30. This builds the mental math speed they need before moving on to larger numbers.
Students practice adding and subtracting numbers up to 30 in their heads, without counting on fingers. By the end of second grade, they know basic addition facts like 7 + 8 and the matching subtraction facts by heart.
Students sort objects into equal groups and count how many groups there are. This hands-on work builds the thinking they'll use later when they start multiplying.
Students sort a group of up to 20 objects into pairs to figure out if the total is odd or even. If every object has a partner, the number is even, and students write it as two equal numbers added together.
Students count objects arranged in a grid (like a 4-by-3 arrangement of dots) by adding the same number over and over. Then they write that repeated addition as an equation.
Students add and subtract numbers, then look for patterns in how the answers change. For example, they notice what happens when you keep adding the same number in a row.
Students find patterns in an addition table or hundreds chart (like noticing that every number in a column goes up by 10) and explain why the pattern works, not just that it exists.
| Standard | Definition | Code |
|---|---|---|
| Represent and solve problems involving addition and subtraction | Students add and subtract to solve word problems, figuring out how many are left, how many more are needed, or what the total is. The numbers stay within 100. | 2.OA.A |
| Add and subtract within 100 to solve one- and two-step contextual problems… | Students solve addition and subtraction word problems using numbers up to 100. They show their thinking with drawings, objects, or equations, and the missing number can appear anywhere in the problem. | 2.OA.A.1 |
| Add and subtract within 30 | Students practice adding and subtracting numbers up to 30. This builds the mental math speed they need before moving on to larger numbers. | 2.OA.B |
| Fluently add and subtract within 30 using mental strategies | Students practice adding and subtracting numbers up to 30 in their heads, without counting on fingers. By the end of second grade, they know basic addition facts like 7 + 8 and the matching subtraction facts by heart. | 2.OA.B.2 |
| Work with equal groups of objects to gain foundations for multiplication | Students sort objects into equal groups and count how many groups there are. This hands-on work builds the thinking they'll use later when they start multiplying. | 2.OA.C |
| Determine whether a group of objects | Students sort a group of up to 20 objects into pairs to figure out if the total is odd or even. If every object has a partner, the number is even, and students write it as two equal numbers added together. | 2.OA.C.3 |
| Use repeated addition to find the total number of objects arranged in… | Students count objects arranged in a grid (like a 4-by-3 arrangement of dots) by adding the same number over and over. Then they write that repeated addition as an equation. | 2.OA.C.4 |
| Solve problems involving addition and subtraction and identify and explain… | Students add and subtract numbers, then look for patterns in how the answers change. For example, they notice what happens when you keep adding the same number in a row. | 2.OA.D |
| Identify arithmetic patterns in an addition or hundreds chart and explain them… | Students find patterns in an addition table or hundreds chart (like noticing that every number in a column goes up by 10) and explain why the pattern works, not just that it exists. | 2.OA.D.5 |
Students learn how the position of a digit changes its value. A 3 in the tens place means 30, not 3.
A three-digit number like 346 is built from hundreds, tens, and ones. Students practice breaking numbers apart to see how many groups of a hundred, how many groups of ten, and how many leftover ones are hiding inside.
Students count by 1s, 2s, 5s, 10s, and 100s up to 1000 and use the pattern they notice to predict what number comes next.
Students read and write numbers up to 1,000 three ways: as a numeral (456), as words (four hundred fifty-six), and broken apart by place value (400 + 50 + 6).
Students compare two three-digit numbers and write which one is greater, which is smaller, or whether they are equal, using the symbols >, =, and <. They look at the hundreds, tens, and ones places to decide.
Students use what they know about hundreds, tens, and ones to add and subtract numbers up to 1,000. That includes adding columns of numbers, subtracting with borrowing, and explaining why the method works.
Students add and subtract any two numbers up to 100 quickly and accurately. They use what they know about tens and ones, or the connection between addition and subtraction, to find the answer without counting on their fingers.
Students add two, three, or four two-digit numbers together, like 23 + 41 + 17, by breaking numbers into tens and ones to make the addition easier.
Students add and subtract numbers up to 1000 by breaking them into hundreds, tens, and ones. They use blocks, drawings, or other strategies, then explain how they got their answer.
Students add or subtract 10 or 100 from any number up to 1,000 in their head, without writing out the steps. They practice noticing that only one digit changes when you hop by 10 or 100.
| Standard | Definition | Code |
|---|---|---|
| Understand place value | Students learn how the position of a digit changes its value. A 3 in the tens place means 30, not 3. | 2.NBT.A |
| Know that the three digits of a three-digit number represent amounts of… | A three-digit number like 346 is built from hundreds, tens, and ones. Students practice breaking numbers apart to see how many groups of a hundred, how many groups of ten, and how many leftover ones are hiding inside. | 2.NBT.A.1 |
| Recognize, describe, extend | Students count by 1s, 2s, 5s, 10s, and 100s up to 1000 and use the pattern they notice to predict what number comes next. | 2.NBT.A.2 |
| Read and write numbers to 1000 using standard form, word form | Students read and write numbers up to 1,000 three ways: as a numeral (456), as words (four hundred fifty-six), and broken apart by place value (400 + 50 + 6). | 2.NBT.A.3 |
| Compare two three-digit numbers based on the meanings of the digits in each… | Students compare two three-digit numbers and write which one is greater, which is smaller, or whether they are equal, using the symbols >, =, and <. They look at the hundreds, tens, and ones places to decide. | 2.NBT.A.4 |
| Use place value understanding and properties of operations to add and subtract | Students use what they know about hundreds, tens, and ones to add and subtract numbers up to 1,000. That includes adding columns of numbers, subtracting with borrowing, and explaining why the method works. | 2.NBT.B |
| Fluently add and subtract within 100 using properties of operations, strategies… | Students add and subtract any two numbers up to 100 quickly and accurately. They use what they know about tens and ones, or the connection between addition and subtraction, to find the answer without counting on their fingers. | 2.NBT.B.5 |
| Add up to four two-digit numbers using properties of operations and strategies… | Students add two, three, or four two-digit numbers together, like 23 + 41 + 17, by breaking numbers into tens and ones to make the addition easier. | 2.NBT.B.6 |
| Add and subtract within 1000 using concrete models, drawings, strategies based… | Students add and subtract numbers up to 1000 by breaking them into hundreds, tens, and ones. They use blocks, drawings, or other strategies, then explain how they got their answer. | 2.NBT.B.7 |
| Mentally add or subtract 10 or 100 to/from any given number within 1000 | Students add or subtract 10 or 100 from any number up to 1,000 in their head, without writing out the steps. They practice noticing that only one digit changes when you hop by 10 or 100. | 2.NBT.B.8 |
Students measure real objects using rulers, yardsticks, and tape measures. They also make reasonable guesses about length before measuring.
Students pick the right measuring tool (a ruler for a pencil, a yardstick for a desk) and measure how long something is to the nearest whole number.
Students measure the same object twice, once with inches and once with centimeters, then explain why the numbers come out different. The shorter the unit, the bigger the count.
Students guess how long something is before measuring it, using units like inches, feet, yards, centimeters, and meters. The goal is a reasonable estimate, not a perfect answer.
Students measure two objects with a ruler, then subtract to find the difference. For example, they figure out that a pencil is 3 inches longer than an eraser.
Students use addition and subtraction to solve problems about length. They figure out how much longer one object is than another, or what total length two objects make together.
Students solve addition and subtraction problems about lengths using drawings and simple equations. A problem might ask how much longer one path is than another, with the missing number shown as a symbol they solve for.
Students plot whole numbers on a number line, spacing them evenly from 0, then use that number line to add or subtract lengths up to 100.
Students read clocks to the nearest five minutes and work with coins and dollar bills to find totals and make change.
Students read both analog and digital clocks to tell time to the nearest five minutes, and note whether it is a.m. or p.m. They also write the time they see.
Students count a mix of coins, find the total in cents, and write it with the ¢ sign. They also work with dollar amounts up to $100 and practice writing those totals with the $ sign.
Students collect information, plot it on a simple picture or bar graph, and answer questions about what the graph shows.
Students collect simple measurements and plot each one as a mark above a number line. The finished chart shows, at a glance, which measurements came up most and which came up least.
Students collect information, then draw a picture graph or bar graph to show it in up to four groups. From that graph, they answer addition and subtraction questions about the numbers they see.
| Standard | Definition | Code |
|---|---|---|
| Measure and estimate lengths in standard units | Students measure real objects using rulers, yardsticks, and tape measures. They also make reasonable guesses about length before measuring. | 2.MD.A |
| Measure the length of an object in whole number units by selecting and using… | Students pick the right measuring tool (a ruler for a pencil, a yardstick for a desk) and measure how long something is to the nearest whole number. | 2.MD.A.1 |
| Measure the length of an object using two different whole number units of… | Students measure the same object twice, once with inches and once with centimeters, then explain why the numbers come out different. The shorter the unit, the bigger the count. | 2.MD.A.2 |
| Estimate lengths using whole number units of inches, feet, yards, centimeters | Students guess how long something is before measuring it, using units like inches, feet, yards, centimeters, and meters. The goal is a reasonable estimate, not a perfect answer. | 2.MD.A.3 |
| Measure, using whole number lengths, to determine how much longer one object is… | Students measure two objects with a ruler, then subtract to find the difference. For example, they figure out that a pencil is 3 inches longer than an eraser. | 2.MD.A.4 |
| Relate addition and subtraction to length | Students use addition and subtraction to solve problems about length. They figure out how much longer one object is than another, or what total length two objects make together. | 2.MD.B |
| Add and subtract within 100 to solve contextual problems, with the unknown in… | Students solve addition and subtraction problems about lengths using drawings and simple equations. A problem might ask how much longer one path is than another, with the missing number shown as a symbol they solve for. | 2.MD.B.5 |
| Represent whole numbers as lengths from 0 on a number line and know that the… | Students plot whole numbers on a number line, spacing them evenly from 0, then use that number line to add or subtract lengths up to 100. | 2.MD.B.6 |
| Work with time and money | Students read clocks to the nearest five minutes and work with coins and dollar bills to find totals and make change. | 2.MD.C |
| Tell and write time in quarter hours and to the nearest five minutes | Students read both analog and digital clocks to tell time to the nearest five minutes, and note whether it is a.m. or p.m. They also write the time they see. | 2.MD.C.7 |
| Solve contextual problems involving amounts less than one dollar including… | Students count a mix of coins, find the total in cents, and write it with the ¢ sign. They also work with dollar amounts up to $100 and practice writing those totals with the $ sign. | 2.MD.C.8 |
| Represent and interpret data | Students collect information, plot it on a simple picture or bar graph, and answer questions about what the graph shows. | 2.MD.D |
| Given a set of data, create a line plot, where the horizontal scale is marked… | Students collect simple measurements and plot each one as a mark above a number line. The finished chart shows, at a glance, which measurements came up most and which came up least. | 2.MD.D.9 |
| Draw a pictograph (with a key of values of 1, 2, 5 | Students collect information, then draw a picture graph or bar graph to show it in up to four groups. From that graph, they answer addition and subtraction questions about the numbers they see. | 2.MD.D.10 |
Students sort and compare shapes by their sides, angles, and faces. They explain what makes a square a square or a cube a cube.
Students sort and draw flat shapes by counting their sides and corners. A triangle has 3, a quadrilateral has 4, a pentagon has 5, and a hexagon has 6.
Students cut a rectangle into equal-sized squares arranged in rows and columns, then count how many squares fit inside total. It's early practice with the kind of grid thinking that leads to multiplication.
Students cut circles and rectangles into equal pieces and name them as halves, thirds, or fourths. Two pieces that are the same fraction of a shape can look different and still be equal shares.
| Standard | Definition | Code |
|---|---|---|
| Reason about shapes and their attributes | Students sort and compare shapes by their sides, angles, and faces. They explain what makes a square a square or a cube a cube. | 2.G.A |
| Identify triangles, quadrilaterals, pentagons | Students sort and draw flat shapes by counting their sides and corners. A triangle has 3, a quadrilateral has 4, a pentagon has 5, and a hexagon has 6. | 2.G.A.1 |
| Partition a rectangle into rows and columns of same-sized squares and find the… | Students cut a rectangle into equal-sized squares arranged in rows and columns, then count how many squares fit inside total. It's early practice with the kind of grid thinking that leads to multiplication. | 2.G.A.2 |
| Partition circles and rectangles into two, three | Students cut circles and rectangles into equal pieces and name them as halves, thirds, or fourths. Two pieces that are the same fraction of a shape can look different and still be equal shares. | 2.G.A.3 |
Students add and subtract within 100 quickly, read and write numbers up to 1000, tell time to the nearest five minutes, count coins and dollar amounts, and measure with a ruler in inches and centimeters. They also know basic addition and subtraction facts by memory.
Use coins from a jar to make different amounts under a dollar. Ask a child to read the clock at dinner or guess how many inches long a spoon is, then measure it. Short, real moments like these build the skills the year is built on.
Finger counting is fine early in the year, but by spring students should know sums like 7 plus 8 without counting. Practice a few facts each night using flashcards or quick verbal quizzes during car rides. Speed comes from steady repetition, not long sessions.
Start with two-digit place value and counting patterns, then build to three-digit numbers, expanded form, and comparing with greater than and less than. Save mental math jumps of 10 and 100 for once students are solid on what each digit means. Adding and subtracting within 1000 comes last.
Regrouping across tens and hundreds, telling time to the nearest five minutes, and word problems with the unknown in the middle or start. Plan to revisit these in small doses through the spring rather than teaching them once and moving on.
Read the problem together, then ask what is happening before asking for an answer. Have the child draw a quick picture or act it out with coins or blocks. Getting the story right matters more than getting the number fast.
It means students answer facts like 8 plus 7 or 14 minus 6 in a few seconds using a strategy, not by counting one at a time. By the end of the year, every basic sum of two single digits and its matching subtraction fact should be known by memory.
They can add and subtract two-digit numbers with regrouping, explain what the digits in a three-digit number mean, split a shape into halves, thirds, and fourths, and solve a two-step word problem. Equal groups and arrays should also feel familiar, since multiplication starts next year.
Treat measurement, time, money, and graphs as ongoing work rather than a single unit. A weekly measuring task or a class graph keeps these skills warm and frees up bigger blocks for place value and computation.