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What does a student learn in ?

This is the year math stretches from counting to thinking in hundreds. Students learn that a three-digit number is built from hundreds, tens, and ones, and they use that idea to add and subtract within 100 with real fluency. They also start measuring with rulers, telling time to the nearest five minutes, and counting coins. By spring, students can solve a two-step word problem, read a bar graph, and split a rectangle into equal shares.

  • Place value
  • Adding and subtracting
  • Measurement
  • Telling time
  • Money
  • Shapes and fractions
Source: Nevada Nevada Academic Content Standards
Year at a glance
How the year usually goes. Every school and district set their own curriculum, so treat this as a guide, not official pacing.
  1. 1

    Quick addition and subtraction facts

    Students start the year getting fast and accurate with adding and subtracting small numbers in their head. By spring, they know their basic sums by heart, which makes the rest of second grade math much easier.

  2. 2

    Place value to 1000

    Students learn what the digits in a three-digit number actually mean: hundreds, tens, and ones. They count past 100, skip-count by fives and tens, and compare numbers using the greater than and less than signs.

  3. 3

    Adding and subtracting bigger numbers

    Students add and subtract two-digit and three-digit numbers using place value. They also solve word problems that take more than one step and learn to explain why their strategy works.

  4. 4

    Measuring, time, and money

    Students pick up a ruler and measure in inches and centimeters, then use those lengths in word problems. They also learn to read a clock to the nearest five minutes and count mixed coins and bills.

  5. 5

    Shapes, graphs, and equal shares

    Students name shapes by their sides and angles, split rectangles and circles into halves, thirds, and fourths, and read simple bar graphs and picture graphs to answer questions about data.

Mastery Learning Standards
The required skills a student should display by the end of Grade 2.
Operations and Algebraic Thinking
  • Represent and solve problems involving addition and subtraction

    CCSS.Math.Content.2.OA.A

    Students use addition and subtraction to solve word problems with numbers up to 100. They decide which operation fits the situation and show how they found the answer.

  • Use addition and subtraction within 100 to solve one- and two-step word…

    CCSS.Math.Content.2.OA.A.1

    Students read short story problems and figure out a missing number by adding or subtracting within 100. The missing number can show up anywhere in the problem, and students use drawings or number sentences to show their thinking.

  • Add and subtract within 20

    CCSS.Math.Content.2.OA.B

    Students practice adding and subtracting numbers up to 20 quickly and accurately. The goal is to know these math facts from memory, the way a second grader eventually knows that 8 + 7 is 15 without stopping to count.

  • Fluently add and subtract within 20 using mental strategies

    CCSS.Math.Content.2.OA.B.2

    Students add and subtract any two numbers up to 20 in their heads, without counting on fingers. By the end of second grade, they know facts like 7 + 8 or 9 + 6 from memory.

  • Work with equal groups of objects to gain foundations for multiplication

    CCSS.Math.Content.2.OA.C

    Students sort objects into equal groups and count how many are in each one. This hands-on work builds the thinking behind multiplication before the word "multiplication" ever shows up.

  • Determine whether a group of objects

    CCSS.Math.Content.2.OA.C.3

    Students sort groups of up to 20 objects into odd or even by pairing them up or counting by 2s, then write an addition sentence showing that even numbers split into two equal parts.

  • Use addition to find the total number of objects arranged in rectangular arrays…

    CCSS.Math.Content.2.OA.C.4

    Students add up rows of objects arranged in a grid, like a 3-by-4 array of dots, to find the total. Then they write an addition equation showing the same number added repeatedly.

Number and Operations in Base Ten
  • Understand place value

    CCSS.Math.Content.2.NBT.A

    Students learn that the position of a digit in a number determines its value. A 3 in the tens place means 30, not 3.

  • Understand that the three digits of a three-digit number represent amounts of…

    CCSS.Math.Content.2.NBT.A.1

    A three-digit number like 348 is built from hundreds, tens, and ones stacked together. Students learn that the position of each digit tells you its value, so 348 means 3 hundreds, 4 tens, and 8 ones.

  • 100 can be thought of as a bundle of ten tens — called a "hundred."

    CCSS.Math.Content.2.NBT.A.1a

    Students learn that ten groups of ten make one hundred. It's the same idea as bundling ten sticks into a group, then bundling ten of those groups into one bigger unit.

  • The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two…

    CCSS.Math.Content.2.NBT.A.1b

    Round numbers like 200 or 700 are made of pure hundreds, with no leftover tens or ones. Students learn that 500 means exactly five hundreds stacked together, nothing more.

  • Count within 1000; skip-count by 5s, 10s

    CCSS.Math.Content.2.NBT.A.2

    Students count forward to 1000 and practice skip-counting, jumping ahead by 5s, 10s, or 100s. It's the same idea as counting by 5s on a clock or by 10s on a number line.

  • Read and write numbers to 1000 using base-ten numerals, number names

    CCSS.Math.Content.2.NBT.A.3

    Students read and write numbers up to 1,000 three ways: as digits (357), as words (three hundred fifty-seven), and broken apart by place value (300 + 50 + 7).

  • Compare two three-digit numbers based on meanings of the hundreds, tens

    CCSS.Math.Content.2.NBT.A.4

    Students look at two three-digit numbers and decide which is larger, smaller, or equal by comparing the hundreds, tens, and ones places. They write the result using the symbols >, <, or =.

  • Use place value understanding and properties of operations to add and subtract

    CCSS.Math.Content.2.NBT.B

    Students use what they know about hundreds, tens, and ones to add and subtract numbers up to 1,000. That includes working with written methods, mental math, and tools like number lines.

  • Fluently add and subtract within 100 using strategies based on place value…

    CCSS.Math.Content.2.NBT.B.5

    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 adding and subtracting, to find the answer without counting every step.

  • Add up to four two-digit numbers using strategies based on place value and…

    CCSS.Math.Content.2.NBT.B.6

    Students add two, three, or four two-digit numbers together by breaking them into tens and ones first. They use what they know about how numbers are built to make adding easier.

  • Add and subtract within 1000, using concrete models or drawings and strategies…

    CCSS.Math.Content.2.NBT.B.7

    Students add and subtract numbers up to 1,000 by breaking them into hundreds, tens, and ones. They use drawings or physical objects to show their thinking, then connect that work to written math.

  • Mentally add 10 or 100 to a given number 100—900

    CCSS.Math.Content.2.NBT.B.8

    Students add or subtract 10 or 100 from a three-digit number in their head, no pencil needed. Starting from a number like 450, they quickly name what's 10 more or 100 less.

  • Explain why addition and subtraction strategies work, using place value and the…

    CCSS.Math.Content.2.NBT.B.9

    Students explain *why* a math strategy works, not just what the answer is. They might show why breaking a number into tens and ones makes addition or subtraction easier to solve.

Measurement and Data
  • Measure and estimate lengths in standard units

    CCSS.Math.Content.2.MD.A

    Students measure real objects using rulers, yardsticks, and tape measures, then make reasonable guesses about lengths before measuring. The focus is on standard units like inches and centimeters.

  • Measure the length of an object by selecting and using appropriate tools such…

    CCSS.Math.Content.2.MD.A.1

    Students pick the right measuring tool for the job and use it to find how long something is. A small crayon gets a ruler; a longer distance might call for a measuring tape or yardstick.

  • Measure the length of an object twice, using length units of different lengths…

    CCSS.Math.Content.2.MD.A.2

    Students measure the same object twice using two different tools, like inches and centimeters. Then they explain why the numbers differ: smaller units give a bigger count, and larger units give a smaller count.

  • Estimate lengths using units of inches, feet, centimeters

    CCSS.Math.Content.2.MD.A.3

    Students guess how long something is before measuring it, using inches, feet, centimeters, or meters. It builds the habit of thinking about size before reaching for a ruler.

  • Measure to determine how much longer one object is than another, expressing the…

    CCSS.Math.Content.2.MD.A.4

    Students measure two objects with a ruler, then subtract to find the exact difference. For example, if one pencil is 8 inches and another is 5 inches, students say the longer one is 3 inches longer.

  • Relate addition and subtraction to length

    CCSS.Math.Content.2.MD.B

    Students use addition and subtraction to solve problems about length. For example, they figure out how much longer one object is than another or find a total length by adding two measurements together.

  • Use addition and subtraction within 100 to solve word problems involving…

    CCSS.Math.Content.2.MD.B.5

    Students solve simple story problems about length by adding or subtracting measurements. For example, they figure out how much longer one path is than another, then write a number sentence to show their work.

  • Represent whole numbers as lengths from 0 on a number line diagram with equally…

    CCSS.Math.Content.2.MD.B.6

    Students place numbers on a number line and use it to add and subtract. If 43 plus 28 equals 71, they show that by jumping forward along evenly spaced marks, then jump back to subtract.

  • Work with time and money

    CCSS.Math.Content.2.MD.C

    Students tell time on a clock and count coins and bills to find totals. These skills run through everyday life, so second grade spends real time on both.

  • Tell and write time from analog and digital clocks to the nearest five minutes…

    CCSS.Math.Content.2.MD.C.7

    Students read a clock face and write the time to the nearest five minutes, noting whether it falls before or after noon with a.m. or p.m.

  • Solve word problems involving dollar bills, quarters, dimes, nickels

    CCSS.Math.Content.2.MD.C.8

    Students solve story problems using a mix of coins and dollar bills, then write the answer with the right symbol, $ or ¢. Think: "How much change do I get back?" at a store.

  • Represent and interpret data

    CCSS.Math.Content.2.MD.D

    Students read and build simple graphs and charts using real counts, then answer questions about what the data shows.

  • Generate measurement data by measuring lengths of several objects to the…

    CCSS.Math.Content.2.MD.D.9

    Students measure a group of objects and record each length on a number-line chart, placing a mark above the matching number. The chart shows at a glance which lengths came up most and how the measurements spread out.

  • Draw a picture graph and a bar graph

    CCSS.Math.Content.2.MD.D.10

    Students collect data in up to four groups, then draw a picture graph and a bar graph to show the results. They use the bar graph to answer questions like how many total, how many fewer, or which group is biggest.

Geometry
  • Reason with shapes and their attributes

    CCSS.Math.Content.2.G.A

    Students sort, draw, and describe shapes by their sides and corners. They learn why a square is a special kind of rectangle and how to split shapes into equal parts.

  • Recognize and draw shapes having specified attributes, such as a given number…

    CCSS.Math.Content.2.G.A.1

    Students look at a shape's corners and sides to name it as a triangle, square, pentagon, or hexagon. They also draw shapes from scratch when given a rule like "four sides" or "three corners."

  • Partition a rectangle into rows and columns of same-size squares and count to…

    CCSS.Math.Content.2.G.A.2

    Students cut a rectangle into equal-sized squares arranged in rows and columns, then count all the squares to find the total. It's early practice with the idea that multiplication will build on later.

  • Partition circles and rectangles into two, three

    CCSS.Math.Content.2.G.A.3

    Students cut circles and rectangles into equal pieces and name those pieces: halves, thirds, or fourths. They also learn that two shapes cut differently can still each be split into equal halves.

Common Questions
  • What does math this year look like overall?

    Students work with numbers up to 1000, add and subtract within 100, tell time on a clock, count money, measure with rulers, and start to see shapes broken into halves, thirds, and fourths. The big shift is place value: hundreds, tens, and ones.

  • How can families practice math at home in just a few minutes?

    Count coins from a jar, read the time on a clock before bedtime, or measure something around the house with a ruler. Ask quick addition and subtraction questions while driving or cooking. Five minutes a day adds up fast.

  • What math facts should students know by heart?

    By the end of the year, students should know every addition fact for two single-digit numbers from memory, and the matching subtraction facts within 20. Quick recall here makes everything else in math easier.

  • My child still counts on fingers. Is that a problem?

    Finger counting is fine early in the year. By spring, students should be moving toward quick recall for sums within 20. Short flashcard sessions or fact games a few times a week help that shift happen.

  • How should place value be sequenced across the year?

    Start with tens and ones to 100, then build to hundreds and three-digit numbers. Spend real time on bundling, expanded form, and comparing numbers before pushing into addition and subtraction within 1000. Place value understanding is the spine of the whole year.

  • Which skills usually need the most reteaching?

    Regrouping across tens and hundreds, telling time to five minutes, and counting mixed coins tend to need extra rounds. Two-step word problems with an unknown in the middle also trip students up and deserve repeated practice.

  • How do I help with word problems when my child gets stuck?

    Ask students to draw the problem before writing any numbers. A simple sketch of the objects, or a bar with two parts, makes the math visible. Then ask what number is missing and where it belongs in the picture.

  • How do I know students are ready for next year?

    By June, students should add and subtract within 100 fluently, read and write numbers to 1000, tell time to five minutes, count coin combinations, and split a shape into equal halves, thirds, or fourths. Two-step word problems should feel doable, even when slow.

  • Why do students learn about even and odd numbers and arrays?

    Pairing objects to find even or odd, and adding up rows in a small array, plants the seeds for multiplication in third grade. It also gives students another way to see that numbers have structure, not just order.