Skip to content

What does a student learn in ?

This is the year numbers stretch past 100 and counting turns into thinking in groups of ten. Students count to 120, group objects into tens and ones, and compare which number is bigger. They learn addition and subtraction facts within ten by heart, then use those facts to solve story problems up to twenty. By spring, students can tell time to the hour and half-hour on a real clock and split a shape into equal halves or fourths.

Illustration of what students learn in Grade 1 Mathematics
  • Counting to 120
  • Tens and ones
  • Addition and subtraction
  • Telling time
  • Halves and fourths
  • Shapes
  • Coins
Source: Virginia Virginia Standards of Learning
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

    Counting and number sense to 120

    Students count forward and backward, read and write numbers up to 120, and start grouping objects into tens and ones. They also learn to count by 2s, 5s, and 10s.

  2. 2

    Adding and subtracting within 20

    Students learn quick ways to add and subtract small numbers, like making ten or using doubles. By the end of this stretch, they should know their facts within 10 by heart and solve word problems up to 20.

  3. 3

    Shapes, halves, and fourths

    Students name and sort circles, triangles, squares, and rectangles, and combine them to build bigger shapes. They also split a whole into two or four equal pieces and call them halves and fourths.

  4. 4

    Measuring, time, and money

    Students compare how long, heavy, or full things are using everyday objects as rulers. They tell time to the hour and half-hour, read a calendar, and identify pennies, nickels, and dimes.

  5. 5

    Patterns, sorting, and graphs

    Students spot and build patterns with colors, shapes, and numbers. They also sort objects into groups, ask a question, and show the answers in a picture graph or table.

Mastery Learning Standards
The required skills a student should display by the end of Grade 1.
Number and Number Sense
  • The student will utilize flexible counting strategies to determine and describe…

    1.NS.1

    Students count collections of objects up to 120, using strategies like counting on from a number instead of starting from one each time.

  • Count forward orally by ones from 0 to 120 starting at any number between 0 and…

    1.NS.1.a

    Students count out loud starting from any number, not just zero, and keep going up to 120. This is the foundation for all the addition they'll do this year.

  • Count backward orally by ones when given any number between 1 and 30

    1.NS.1.b

    Starting from any number up to 30, students count down out loud, one at a time, without skipping or pausing. This is the same skill a child uses when counting down to launch a rocket.

  • Represent forward counting patterns when counting by groups of 5 and groups of…

    1.NS.1.c

    Counting by 5s and 10s, students practice skip-counting up to 120 using coins, a number chart, or small objects grouped together.

  • Represent forward counting patterns when counting by groups of 2 up to at least…

    1.NS.1.d

    Counting by 2s means skipping every other number: 2, 4, 6, 8. Students practice this pattern up to 30 using tools like number charts or bead strings.

  • Group a collection of up to 120 objects into tens and ones

    1.NS.1.e

    Students sort a pile of objects into groups of ten, then count the leftover ones to find the total. This is how place value works: 5 groups of ten plus 6 ones equals 56.

  • Identify a penny, nickel

    1.NS.1.f

    Students learn to tell apart a penny, nickel, and dime by how they look and feel. They practice counting out five pennies to match a nickel and ten pennies to match a dime.

  • Count by ones, fives

    1.NS.1.g

    Students count a small pile of matching coins, pennies, nickels, or dimes, by ones, fives, or tens to find the total. The total stays at one dollar or under.

  • The student will represent, compare

    1.NS.2

    Students count, write, and arrange numbers up to 120, then compare them to decide which is larger or smaller. Think of it as putting numbers in the right order on a number line.

  • Read and write numerals 0-120 in sequence and out of sequence

    1.NS.2.a

    Reading and writing numbers from 0 to 120, both in order and scrambled. Students practice recognizing and writing each number whether it shows up in a list or appears on its own out of nowhere.

  • Estimate the number of objects

    1.NS.2.b

    Students make a quick guess about how many objects are in a group, then explain why their guess makes sense. This builds the habit of checking whether an answer is reasonable before moving on.

  • Create a concrete or pictorial representation of a number using tens and ones…

    1.NS.2.c

    Students group a number into tens and leftover ones, then write the numeral that matches. For example, 47 is 4 groups of ten with 7 left over.

  • Describe the number of groups of tens and ones when given a two-digit number…

    1.NS.2.d

    Students look at a two-digit number and explain how many tens and how many ones it contains. For example, 47 means 4 groups of ten and 7 leftover ones, and students say why that makes sense.

  • Compare two numbers between 0 and 120 represented pictorially or with concrete…

    1.NS.2.e

    Students look at two groups of objects or pictures and decide which group has more, which has less, or whether both groups are the same size. They use the phrases "greater than," "less than," and "equal to" to describe what they see.

  • Order three sets, each set containing up to 120 objects, from least to greatest

    1.NS.2.f

    Students look at three groups of objects and arrange them in order from smallest to biggest, then flip the order from biggest to smallest. Groups can have up to 120 objects each.

  • The student will use mathematical reasoning and justification to solve…

    1.NS.3

    Students cut shapes or objects into 2 or 4 equal pieces and explain how they know each piece is the same size.

  • Represent equal shares of a whole with two or four sharers, when given a…

    1.NS.3.a

    Students split a shape or object into two or four equal pieces so every share is the same size. They show what each person's fair share looks like when dividing something real, like a sandwich or a pie.

  • Represent and name halves and fourths of a whole, using a region/area model

    1.NS.3.b

    Students split a shape or a small group of objects into two or four equal parts and name each part a half or a fourth. They practice with drawings, folded paper, and small collections like two eggs or four coins.

  • Describe and justify how shares are equal pieces or equal parts of the whole

    1.NS.3.c

    Students explain why splitting a shape or object into halves or fourths means every piece is the same size, using pictures or words to show their thinking.

Computation and Estimation
  • The student will recall with automaticity addition and subtraction facts within…

    1.CE.1

    Students memorize addition and subtraction facts up to 10, then use those facts to solve simple addition and subtraction problems with numbers up to 20. They also explain how they got their answer.

  • Recognize and describe with fluency part-part-whole relationships for numbers…

    1.CE.1.a

    Students learn that any number up to 10 can be split into two parts. For example, 7 can be 3 and 4, or 5 and 2, and students practice seeing those combinations quickly without counting.

  • Demonstrate fluency with addition and subtraction within 10 by applying…

    1.CE.1.b

    Students practice adding and subtracting numbers up to 10 until the answers come quickly, using tricks like counting forward, doubling a number, or building up to 10.

  • Recall with automaticity addition and subtraction facts within 10

    1.CE.1.c

    Students memorize every addition and subtraction fact up to 10 so they can answer without stopping to count on their fingers.

  • Investigate, recognize

    1.CE.1.d

    Students break a number into two smaller parts and put them back together, using tools like ten frames or bead racks. This builds the understanding that 13, for example, is just 8 and 5 joined.

  • Solve addition and subtraction problems within 20 using various strategies

    1.CE.1.e

    Students add and subtract numbers up to 20 using shortcuts like making a ten first or breaking a number into smaller pieces. The goal is to find the right answer and explain how they got there.

  • Represent, solve, and justify solutions to single-step addition and subtraction…

    1.CE.1.f

    Students solve simple addition and subtraction problems with numbers up to 20, then show how they got the answer using a drawing, objects, or written numbers.

  • Determine the unknown whole number that will result in a sum or difference of…

    1.CE.1.g

    Students figure out the missing number in an addition or subtraction problem when the answer is 10 or 20. For example, they find what goes in the blank in 14 minus blank equals 10.

  • Identify and use (+) as a symbol for addition and

    1.CE.1.h

    Students learn that the plus sign means to add numbers together and the minus sign means to take one away from another. They use both symbols when writing and solving math problems.

  • Describe the equal symbol

    1.CE.1.i

    Students learn that the equals sign means "the same as," not just "the answer goes here." Both sides of an equation must balance, like a scale: 6 + 1 = 4 + 3 because both sides equal 7.

  • Use concrete materials to model, identify

    1.CE.1.j

    Students use blocks or counters to show why two math expressions give different answers, like proving that 10 minus 3 is not the same as 3 plus 5.

  • Use concrete materials to model an equation that represents the relationship of…

    1.CE.1.k

    Students use blocks or counters to show why both sides of an equation balance, like seeing that 3 + 4 and 5 + 2 both equal 7. This builds the idea that an equals sign means "the same as," not just "the answer."

  • Write an equation that could be used to represent the solution to an oral…

    1.CE.1.l

    Students read or listen to a simple problem and write a number sentence, like 6 + 4 = 10, that shows how they solved it.

Measurement and Geometry
  • The student will reason mathematically using nonstandard units to measure…

    1.MG.1

    Students use everyday objects like paper clips or blocks to measure how long, heavy, or full something is, then compare two objects to see which measures more or less.

  • Use nonstandard units to measure the

    1.MG.1.a

    Students pick a small object (like a paper clip or a block) and use it as a measuring tool, lining up copies end to end to find how long something is.

  • lengths of two objects

    1.MG.1.a.i

    Students line up small objects end to end along two things, count the units, and say which one is longer, shorter, or the same length.

  • weights of two objects

    1.MG.1.a.ii

    Students use a balance scale to weigh two objects, then say which one is heavier, which is lighter, or whether they weigh the same.

  • volumes of two containers and compare the measurements using the terms more…

    1.MG.1.a.iii

    Students fill two containers with water or sand, then say which one holds more, holds less, or holds the same amount.

  • Measure the length, weight

    1.MG.1.b

    Students measure the same object twice using two different tools (like paper clips and crayons) and explain why the two numbers come out different.

  • The student will describe, sort, draw

    1.MG.2

    Students name and draw flat shapes like circles, triangles, squares, and rectangles, then put two or more of those shapes together to make a bigger one.

  • Describe triangles, squares

    1.MG.2.a

    Students learn words for talking about shapes. They describe a triangle or square by counting its sides, corners, and angles, and describe a circle as round and curved.

  • Sort plane figures based on their characteristics

    1.MG.2.b

    Students sort shapes into groups by counting their sides or corners. A triangle goes with other three-sided shapes; a circle, which has no sides, goes in its own group.

  • Draw and name the plane figure

    1.MG.2.c

    Students look at clues about sides and corners, then draw and name the matching shape. For example, three sides and three corners means a triangle.

  • Identify, name, and describe representations of circles, squares, rectangles

    1.MG.2.d

    Students spot circles, squares, rectangles, and triangles in the world around them, name each shape, and explain how they know what it is, even when a shape is tilted or turned.

  • Recognize and name the angles found in rectangles and squares as right angles

    1.MG.2.e

    Students learn that the corners of squares and rectangles are called right angles. They look like the corner of a piece of paper or the letter L.

  • Compose larger plane figures by combining two or three simple plane figures

    1.MG.2.f

    Students put two or three basic shapes together to build a bigger shape. A triangle and a square might combine to make a house shape.

  • The student will demonstrate an understanding of the concept of passage of time

    1.MG.3

    Students read clocks to the nearest hour and half-hour and use a calendar to track days, weeks, and months.

  • Identify different tools to measure time including clocks

    1.MG.3.a

    Students learn that clocks show the time of day and calendars show days, weeks, and months. They practice naming the right tool to use depending on whether they need to track hours or dates.

  • Describe the units of time represented on a clock as minutes and hours

    1.MG.3.b

    Students learn that a clock's short hand tracks hours and its long hand tracks minutes. They practice naming both units and explaining what each hand measures.

  • Tell time to the hour and half-hour, using analog and digital clocks

    1.MG.3.c

    Reading a clock with hands and a clock with numbers, students tell time to the hour and half-hour. They learn what both kinds of clocks show and how to match what each one says.

  • Describe the location of the hour hand relative to time to the hour and…

    1.MG.3.d

    Students look at the short hand on an analog clock and say where it points to name the hour, or notice when it sits halfway between two numbers to name the half-hour.

  • Describe the location of the minute hand relative to time to the hour and…

    1.MG.3.e

    Students learn where the minute hand points when a clock shows exactly the hour (straight up to 12) and when it shows the half-hour (straight down to 6).

  • Match the time shown on a digital clock to an analog clock to the hour and…

    1.MG.3.f

    Students match a digital clock (like 3:00 or 3:30) to the same time shown on an analog clock with hands. They practice both the hour and the half-hour.

  • Identify specific days/dates on a calendar

    1.MG.3.g

    Students read a calendar to find specific days and dates, such as naming which date falls on a Saturday or counting how many times a Friday appears in a month.

  • Use ordinal numbers first through tenth to describe the relative position of…

    1.MG.3.h

    Students use ordinal numbers like first, second, and third to find specific days on a calendar, such as the first Monday of a month or which day of the week a date falls on.

  • Determine the day/date before and after a given day/date

    1.MG.3.i

    Students figure out what day comes before or after a date on the calendar, then count forward or backward to find a date that is several days or weeks away.

Probability and Statistics
  • The student will apply the data cycle

    1.PS.1

    Students gather real objects or pictures to answer a simple question, then sort and display the results in a graph or table. They explain what the data shows.

  • Sort and classify concrete objects into appropriate subsets

    1.PS.1.a

    Students sort real objects into groups by one or two shared traits, like color or shape. For example, they might separate a pile of blocks into red thick ones and blue thin ones.

  • Describe and label attributes of a set of objects that has been sorted

    1.PS.1.b

    Students look at a group of sorted objects and explain what they have in common, such as color, size, or shape. They put a label on each group so others know how it was sorted.

  • Pose questions, given a predetermined context, that require the collection of…

    1.PS.1.c

    Students come up with survey questions based on a topic the teacher sets up, then collect answers from classmates. The data stays simple: no more than four categories and 25 answers total.

  • Determine the data needed to answer a posed question and collect the data using…

    1.PS.1.d

    Students figure out what information they need to answer a question, then gather it by counting, drawing pictures, or making tally marks.

  • Organize and represent a data set by sorting the collected data using various…

    1.PS.1.e

    Students sort collected data into groups using tally marks or a T-chart, getting it ready to read and compare.

  • Represent a data set

    1.PS.1.f

    Students arrange real objects or drawings into a simple graph or table to show how many there are of each thing. They can lay the graph out across the page or up and down.

  • Analyze data represented in object graphs, picture graphs

    1.PS.1.g

    Students look at a finished graph or table and explain what it shows, such as which group has the most, which has the least, and how the numbers compare.

  • ask and answer questions about the data represented in object graphs, picture…

    1.PS.1.g.i

    Students read a simple graph or table and answer questions about it, like how many total items are shown or which group has more.

  • draw conclusions about the data and make predictions based on the data

    1.PS.1.g.ii

    Students look at a finished graph or table and say what it shows, then guess what might happen next based on what they found.

Patterns, Functions, and Algebra
  • The student will identify, describe, extend, create

    1.PFA.1

    Students spot patterns that repeat or grow, then continue or create their own using objects, pictures, or numbers. The focus is on seeing the rule behind a pattern, not just copying it.

  • Identify and describe repeating and increasing patterns

    1.PFA.1.a

    Students look at a row of shapes, colors, or numbers and figure out what rule makes it repeat or grow. They can say what comes next and explain why.

  • Analyze a repeating or increasing pattern and generalize the change to extend…

    1.PFA.1.b

    Students look at a repeating or growing pattern, figure out the rule behind it, and use that rule to continue the pattern with shapes, colors, pictures, or movements.

  • Create a repeating or increasing pattern using objects, pictures, movements…

    1.PFA.1.c

    Students make their own repeating or growing pattern using physical objects, drawings, shapes, or movements, then show how the pattern continues.

  • Transfer a repeating or increasing pattern from one form to another

    1.PFA.1.d

    Students take a pattern shown one way (clap, clap, stomp) and recreate it in a different form (red, red, blue). The rule stays the same; only the materials change.

No state assessments at this grade
Students take their next one in Grade 3.
State Summative

SOL Mathematics (Grades 3-8)

Standards of Learning mathematics assessment for grades 3 through 8.

When given:
spring
Frequency:
annual
Official source
State Through Year

Virginia Growth Assessment: Mathematics

Shorter computer-adaptive mathematics growth assessments for grades 3 through 8, administered during the school year in addition to spring SOL tests.

When given:
fall and winter
Frequency:
twice per year
Official source
Alternate assessment

Virginia Alternate Assessment Program

Alternate assessment program for eligible students with significant cognitive disabilities, covering state-tested grades and subjects.

When given:
state testing window
Frequency:
annual
Official source
Common Questions
  • What math should students know by the end of the year?

    Students count to 120, read and write those numbers, and group objects into tens and ones. They add and subtract within 20, know their facts within 10 from memory, and tell time to the hour and half-hour. They also name basic shapes and split things into halves and fourths.

  • How can families practice counting at home?

    Count out loud while walking, climbing stairs, or putting away laundry. Start at random numbers like 47 and keep going, or count backward from 20. Once that feels easy, count by twos, fives, and tens using buttons, pennies, or cereal pieces.

  • What does fact fluency within 10 actually mean?

    It means a student can answer sums and differences within 10 quickly and without counting on fingers every time. Five plus three should feel as automatic as saying their name. Facts within 20 can still use strategies like making a ten or doubles.

  • How do I help if addition and subtraction feel slow?

    Pull out ten small objects and break them into two piles in different ways: 7 and 3, 6 and 4, 5 and 5. Talk about how the parts always make ten. Short games of three or four minutes a day work better than long sessions.

  • How should I sequence the year?

    Build counting and place value to 120 in the first months, then layer in addition and subtraction within 10 with a heavy focus on part-part-whole. Push toward fact recall and problems within 20 by midyear. Save measurement, shapes, time, and data for shorter units woven across the year.

  • Which skills usually need the most reteaching?

    Counting across decade changes like 79 to 80, telling time to the half-hour, and understanding that the equal sign means both sides balance. Many students also need extra time with subtraction within 20 and with seeing a two-digit number as tens and ones.

  • How can families practice money and time?

    Let students sort a jar of coins and count the pennies, nickels, and dimes in separate piles. At home, point out the clock at meals and bedtime and ask what time it is to the hour or half-hour. A paper calendar on the fridge is great for talking about days and dates.

  • How do I know a student is ready for second grade?

    They count fluently to 120, compare two-digit numbers, and know addition and subtraction facts within 10 from memory. They solve word problems within 20, tell time to the half-hour, name basic shapes, and split a whole into halves and fourths. Patterns and simple graphs should feel familiar.