Quick recall within 20
Students lock in addition and subtraction facts up to 20 so they can answer without counting on fingers. They also sort small groups as odd or even and start seeing rows and columns as repeated addition.
This is the year math stretches into the hundreds. Students start thinking in hundreds, tens, and ones, so a number like 348 stops being a string of digits and starts meaning something. They add and subtract within 100 quickly in their heads, measure real objects with a ruler, tell time to the nearest five minutes, and count coins. By spring, students can solve a two-step word problem, split a shape into halves or fourths, and read a clock.
Students lock in addition and subtraction facts up to 20 so they can answer without counting on fingers. They also sort small groups as odd or even and start seeing rows and columns as repeated addition.
Students learn that a three-digit number is built from hundreds, tens, and ones. They count to 1,000, skip-count by fives and tens, and compare numbers using the signs for greater than, less than, and equal to.
Students add and subtract within 100 with confidence, then stretch up to 1,000. They learn to regroup when a column gets too full, and can explain why their strategy works instead of just following steps.
Students measure objects with rulers and tape measures in inches and centimeters, and estimate lengths before checking. They tell time to the nearest five minutes and solve word problems with dollars and coins up to ten dollars.
Students name shapes by their sides and angles, and split circles and rectangles into halves, thirds, and fourths. They also build picture graphs and bar graphs and answer questions from the data.
Students use addition and subtraction to solve word problems, working with numbers up to 100. They figure out how many are left, how many more are needed, or how many in all.
Students read short story problems and figure out a missing number using addition or subtraction up to 100. The missing piece might be the starting amount, the change, or the total.
Students practice adding and subtracting numbers up to 20 until the answers come quickly from memory. That fluency frees up their attention for harder math problems later.
Students practice adding and subtracting numbers up to 20 until the answers come quickly from memory, without counting on fingers or using a number line.
Students sort objects into equal groups and count how many groups they have. This builds the thinking behind multiplication before they ever see the times table.
Students sort a group of up to 20 objects into two equal piles to decide if the number is even or odd. If the piles match, they write an addition sentence to show it, like 6 = 3 + 3.
Students count objects arranged in rows and columns (like a 4-by-3 grid of dots) by adding equal groups. Then they write an addition equation that shows how they got the total.
| Standard | Definition | Code |
|---|---|---|
| Represent and solve problems involving addition and subtraction | Students use addition and subtraction to solve word problems, working with numbers up to 100. They figure out how many are left, how many more are needed, or how many in all. | 2.OA.A |
| Use addition and subtraction within 100 to solve one- and two-step word… | Students read short story problems and figure out a missing number using addition or subtraction up to 100. The missing piece might be the starting amount, the change, or the total. | 2.OA.A.1 |
| Add and subtract within 20 | Students practice adding and subtracting numbers up to 20 until the answers come quickly from memory. That fluency frees up their attention for harder math problems later. | 2.OA.B |
| Demonstrate fluency for addition and subtraction within 20 using mental… | Students practice adding and subtracting numbers up to 20 until the answers come quickly from memory, without counting on fingers or using a number line. | 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 they have. This builds the thinking behind multiplication before they ever see the times table. | 2.OA.C |
| Determine whether a group of objects | Students sort a group of up to 20 objects into two equal piles to decide if the number is even or odd. If the piles match, they write an addition sentence to show it, like 6 = 3 + 3. | 2.OA.C.3 |
| Use addition to find the total number of objects arranged in rectangular arrays… | Students count objects arranged in rows and columns (like a 4-by-3 grid of dots) by adding equal groups. Then they write an addition equation that shows how they got the total. | 2.OA.C.4 |
Students learn how the position of a digit in a number determines its value. A 2 in the tens place means twenty, not two.
Three-digit numbers are built from hundreds, tens, and ones. Students read a number like 347 and know that the 3 counts full hundreds, the 4 counts loose tens, and the 7 counts single ones.
Students learn that ten groups of ten make one hundred. It's the same idea as bundling ten stacks of ten pennies into a single pile worth a hundred.
Round numbers like 300 or 700 are just a count of hundreds with nothing left over. Students learn that 600 means exactly six hundreds, zero tens, and zero ones.
Students count forward to 1,000 and practice jumping by fives, tens, or hundreds from any starting number. They also spot the pattern those jumps make.
Students read and write numbers up to 1,000 three ways: as a regular numeral (456), as words (four hundred fifty-six), and broken apart by place value (400 + 50 + 6).
Students look at two three-digit numbers and decide which is greater, which is smaller, or whether they match. They record the result using the symbols >, =, or <.
Students add and subtract numbers using what they know about place value, grouping tens and ones to solve problems accurately.
Adding and subtracting any two numbers up to 100, quickly and accurately. Students use what they know about tens and ones to work through problems without getting stuck.
Students add up to four two-digit numbers at once, grouping tens and ones to make the math easier to manage. The numbers might be things like 23, 41, 15, and 32 added together in one problem.
Students add and subtract numbers up to 1,000 using blocks, drawings, or written equations. The focus is on understanding how hundreds, tens, and ones work together, not just memorizing steps.
Students learn that when adding or subtracting three-digit numbers, they line up hundreds with hundreds, tens with tens, and ones with ones before calculating. Each place value is handled on its own.
When adding or subtracting bigger numbers, students learn that they can regroup: breaking a hundred into tens, or ten ones into a single ten, to make the math work out.
Students practice adding and subtracting 10 or 100 from a three-digit number in their heads, without pencil or paper. If the number is 346, they should quickly know that 10 more is 356 and 100 less is 246.
Students explain *why* a math strategy works, not just what the answer is. For example, they might show why breaking 37 into 30 and 7 makes addition easier.
| Standard | Definition | Code |
|---|---|---|
| Understand place value | Students learn how the position of a digit in a number determines its value. A 2 in the tens place means twenty, not two. | 2.NBT.A |
| Understand that the three digits of a three-digit number represent amounts of… | Three-digit numbers are built from hundreds, tens, and ones. Students read a number like 347 and know that the 3 counts full hundreds, the 4 counts loose tens, and the 7 counts single ones. | 2.NBT.A.1 |
| 100 can be thought of as a bundle of ten tens—called a "hundred." | Students learn that ten groups of ten make one hundred. It's the same idea as bundling ten stacks of ten pennies into a single pile worth a hundred. | 2.NBT.A.1.a |
| The numbers 100, 200, 300, 400, 500, 600, 700, 800 | Round numbers like 300 or 700 are just a count of hundreds with nothing left over. Students learn that 600 means exactly six hundreds, zero tens, and zero ones. | 2.NBT.A.1.b |
| Count within 1,000; skip-count by fives, tens | Students count forward to 1,000 and practice jumping by fives, tens, or hundreds from any starting number. They also spot the pattern those jumps make. | 2.NBT.A.2 |
| Read and write numbers from 0 to 1,000 using standard form, expanded form | Students read and write numbers up to 1,000 three ways: as a regular 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 meanings of the hundreds, tens | Students look at two three-digit numbers and decide which is greater, which is smaller, or whether they match. They record the result using the symbols >, =, or <. | 2.NBT.A.4 |
| Use place value understanding and properties of operations to add and subtract | Students add and subtract numbers using what they know about place value, grouping tens and ones to solve problems accurately. | 2.NBT.B |
| Fluently add and subtract whole numbers within 100 using understanding of place… | Adding and subtracting any two numbers up to 100, quickly and accurately. Students use what they know about tens and ones to work through problems without getting stuck. | 2.NBT.B.5 |
| Add up to four two-digit numbers using strategies based on place value and… | Students add up to four two-digit numbers at once, grouping tens and ones to make the math easier to manage. The numbers might be things like 23, 41, 15, and 32 added together in one problem. | 2.NBT.B.6 |
| Add and subtract whole numbers within 1,000, by using physical, visual | Students add and subtract numbers up to 1,000 using blocks, drawings, or written equations. The focus is on understanding how hundreds, tens, and ones work together, not just memorizing steps. | 2.NBT.B.7 |
| Understand that in adding or subtracting three-digit numbers, one adds or… | Students learn that when adding or subtracting three-digit numbers, they line up hundreds with hundreds, tens with tens, and ones with ones before calculating. Each place value is handled on its own. | 2.NBT.B.7.a |
| Understand that sometimes it is necessary to compose or decompose tens or… | When adding or subtracting bigger numbers, students learn that they can regroup: breaking a hundred into tens, or ten ones into a single ten, to make the math work out. | 2.NBT.B.7.b |
| Use mental strategies to add or subtract a number that is ten more, ten less… | Students practice adding and subtracting 10 or 100 from a three-digit number in their heads, without pencil or paper. If the number is 346, they should quickly know that 10 more is 356 and 100 less is 246. | 2.NBT.B.8 |
| Explain why addition and subtraction strategies work, using place value and the… | Students explain *why* a math strategy works, not just what the answer is. For example, they might show why breaking 37 into 30 and 7 makes addition easier. | 2.NBT.B.9 |
Students measure real objects using rulers, yardsticks, and meter sticks, then estimate how long something is before measuring it. The focus is on standard units like inches, feet, and centimeters.
Students pick the right measuring tool for the job and use it to find how long something is. A short pencil gets a ruler; a longer distance might need a measuring tape.
Students measure the same object twice using two different tools, like a ruler marked in inches and one marked in centimeters. They then explain why the numbers differ depending on which unit they used.
Students guess how long something is before measuring it. They practice estimating in inches and feet for shorter objects, and centimeters and meters for longer ones.
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 long something is, or how much longer one object is than another, using the same kind of math they already know.
Students solve story problems about length using addition and subtraction. For example, they might figure out how much longer one rope is than another, as long as both are measured in the same unit, like inches or centimeters.
Students place whole numbers on a number line and use it to add and subtract. By jumping forward or backward along the line, they solve problems with sums and differences up to 100.
Students read clocks to the nearest five minutes and work out the value of a group of coins or bills. Both skills connect numbers to real objects students see every day.
Students read both analog and digital clocks and write down the time to the nearest five minutes. They also label the time as a.m. or p.m. to show whether it falls before or after noon.
Students solve simple story problems using a mix of coins and dollar bills, adding up totals and writing the answer with a dollar sign or cent symbol. The amounts stay at or below $10.
Students collect information and show it on a picture graph or bar graph. They read the graph to answer questions like "how many more" or "how many in all."
Students measure a group of objects with a ruler, then mark each measurement as a dot on a number line to show how the results spread out. The chart they make is called a line plot.
Students collect data, sort it into up to four groups, and draw a picture graph or bar graph to show the results. Then they answer questions about the graph, like how many more or fewer items are in one group than another.
| Standard | Definition | Code |
|---|---|---|
| Measure and estimate lengths in standard units | Students measure real objects using rulers, yardsticks, and meter sticks, then estimate how long something is before measuring it. The focus is on standard units like inches, feet, and centimeters. | 2.MD.A |
| Measure the length of an object by selecting and using appropriate tools such… | Students pick the right measuring tool for the job and use it to find how long something is. A short pencil gets a ruler; a longer distance might need a measuring tape. | 2.MD.A.1 |
| Measure the length of an object twice, using length units of different lengths… | Students measure the same object twice using two different tools, like a ruler marked in inches and one marked in centimeters. They then explain why the numbers differ depending on which unit they used. | 2.MD.A.2 |
| Estimate lengths using units of inches, feet, centimeters | Students guess how long something is before measuring it. They practice estimating in inches and feet for shorter objects, and centimeters and meters for longer ones. | 2.MD.A.3 |
| Measure to determine how much longer one object is than another, expressing the… | 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 long something is, or how much longer one object is than another, using the same kind of math they already know. | 2.MD.B |
| Use addition and subtraction within 100 to solve word problems involving… | Students solve story problems about length using addition and subtraction. For example, they might figure out how much longer one rope is than another, as long as both are measured in the same unit, like inches or centimeters. | 2.MD.B.5 |
| Represent whole numbers as lengths from zero on a number line diagram with… | Students place whole numbers on a number line and use it to add and subtract. By jumping forward or backward along the line, they solve problems with sums and differences up to 100. | 2.MD.B.6 |
| Work with time and money | Students read clocks to the nearest five minutes and work out the value of a group of coins or bills. Both skills connect numbers to real objects students see every day. | 2.MD.C |
| Tell and write time from analog and digital clocks to the nearest five minutes… | Students read both analog and digital clocks and write down the time to the nearest five minutes. They also label the time as a.m. or p.m. to show whether it falls before or after noon. | 2.MD.C.7 |
| Solve word problems involving dollar bills, quarters, dimes, nickels | Students solve simple story problems using a mix of coins and dollar bills, adding up totals and writing the answer with a dollar sign or cent symbol. The amounts stay at or below $10. | 2.MD.C.8 |
| Represent and interpret data | Students collect information and show it on a picture graph or bar graph. They read the graph to answer questions like "how many more" or "how many in all." | 2.MD.D |
| Generate measurement data by measuring lengths of several objects to the… | Students measure a group of objects with a ruler, then mark each measurement as a dot on a number line to show how the results spread out. The chart they make is called a line plot. | 2.MD.D.9 |
| Draw a picture graph and a bar graph | Students collect data, sort it into up to four groups, and draw a picture graph or bar graph to show the results. Then they answer questions about the graph, like how many more or fewer items are in one group than another. | 2.MD.D.10 |
Students sort and describe shapes by their sides, angles, and other features. They also split shapes like squares and circles into equal parts.
Students sort and draw shapes by counting their sides and corners. They learn to name shapes like triangles, squares, hexagons, and cubes by their specific features.
Students cut a rectangle into equal squares arranged in rows and columns, then count all the squares to find the total. It's the same idea as counting tiles on a floor or squares on a piece of graph paper.
Splitting a circle or rectangle into equal pieces, students see that cutting it into more pieces makes each piece smaller. Two halves are bigger than three thirds of the same shape.
Students learn to name equal pieces of a shape using words like halves, thirds, and fourths. They practice saying "half of" a circle or "a fourth of" a square to describe each piece.
Students learn that a shape split into equal pieces can be described by how many shares make up the whole. A circle cut into thirds, for example, takes three of those pieces to complete it.
Two halves of the same pizza can look different and still be equal. Students learn that splitting a shape into equal parts doesn't mean those parts have to look identical.
| Standard | Definition | Code |
|---|---|---|
| Reason with shapes and their attributes | Students sort and describe shapes by their sides, angles, and other features. They also split shapes like squares and circles into equal parts. | 2.G.A |
| Recognize and draw shapes having specified attributes, such as a given number… | Students sort and draw shapes by counting their sides and corners. They learn to name shapes like triangles, squares, hexagons, and cubes by their specific features. | 2.G.A.1 |
| Partition a rectangle into rows and columns of same-size squares and count to… | Students cut a rectangle into equal squares arranged in rows and columns, then count all the squares to find the total. It's the same idea as counting tiles on a floor or squares on a piece of graph paper. | 2.G.A.2 |
| Partition circles and rectangles into two, three | Splitting a circle or rectangle into equal pieces, students see that cutting it into more pieces makes each piece smaller. Two halves are bigger than three thirds of the same shape. | 2.G.A.3 |
| Describe the shares using the words "halves," "thirds," "fourths," and… | Students learn to name equal pieces of a shape using words like halves, thirds, and fourths. They practice saying "half of" a circle or "a fourth of" a square to describe each piece. | 2.G.A.3.a |
| Describe the whole as two of, three of | Students learn that a shape split into equal pieces can be described by how many shares make up the whole. A circle cut into thirds, for example, takes three of those pieces to complete it. | 2.G.A.3.b |
| Recognize that equal shares of identical wholes need not have the same shape | Two halves of the same pizza can look different and still be equal. Students learn that splitting a shape into equal parts doesn't mean those parts have to look identical. | 2.G.A.3.c |
Students add and subtract within 100 quickly, recall facts within 20 from memory, and understand that a three-digit number is made of hundreds, tens, and ones. They also tell time to the nearest five minutes, measure with a ruler, and name shapes by their sides and corners.
Spend five minutes a day on facts within 20. Use flash cards, dice games, or quick questions in the car. The goal is fast recall by spring, so short and frequent practice beats long sessions once a week.
Ask students to draw the problem before writing numbers. A simple sketch of the objects, or a number line, often shows whether to add or subtract. Then ask them to say the answer in a full sentence so the question and the answer match.
Counting coins, reading an analog clock, measuring with a ruler or tape, and doubling a recipe all hit second grade math. Skip-counting by fives and tens while walking or climbing stairs also helps with place value and later multiplication.
Start with tens and ones inside 100, then build to hundreds, tens, and ones inside 1,000. Anchor each step with base-ten blocks or drawings before moving to expanded form and standard form. Save three-digit addition and subtraction with regrouping for after students can compare and read three-digit numbers fluently.
Regrouping across a ten or hundred, telling time to the nearest five minutes, and two-step word problems with a missing start. Plan a short review block in spring for these. Many students also confuse the value of a dime and a nickel and need repeated coin practice.
Aim for automatic recall by the middle of spring so students can focus on two-digit and three-digit work without counting on fingers. Build it through daily five-minute routines like number talks, doubles, and make-a-ten strategies rather than timed tests alone.
Treat measurement as a bridge between number and the real world. After students can add and subtract within 100, use ruler work and length word problems to practice those skills. Bar graphs, picture graphs, and line plots fit well in the second half of the year once students can compare numbers.
Students split a circle or rectangle into halves, thirds, or fourths and name the pieces. They also see that fourths of the same shape can look different and still be equal. They do not need to write fractions as numbers yet.
By summer, students should add and subtract within 100 on paper, know facts within 20 from memory, read and write numbers to 1,000, tell time to five minutes, and count mixed coins. If any of these feel shaky, pick one and practice it for ten minutes a day over the break.