Skip to content

What does a student learn in ?

This is the year math stretches past counting and into thinking in tens. Students add and subtract within 20, learn the tricks of making ten, and start seeing a number like 47 as four tens and seven ones. They also begin telling time on a clock, counting coins, and splitting shapes into halves and fourths. By spring, they can solve a story problem like 8 + ? = 11 and explain how they figured it out.

  • Adding and subtracting
  • Place value
  • Telling time
  • Counting coins
  • Shapes and halves
  • Measuring length
Source: Tennessee Tennessee Academic 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

    Counting and adding within 20

    Students count groups of objects, add and subtract small numbers, and solve short word problems. They start to know sums up to 10 by heart instead of counting on fingers every time.

  2. 2

    Smarter strategies for math facts

    Students learn tricks like making a ten to add harder numbers, and they see how addition and subtraction are two sides of the same coin. Equations like 8 + ? = 11 start to feel familiar.

  3. 3

    Place value to 120

    Students count past 100 and learn that a number like 47 means 4 tens and 7 ones. They compare two-digit numbers using the symbols for greater than, less than, and equal to.

  4. 4

    Adding and subtracting bigger numbers

    Students add a small number to a two-digit number and subtract groups of ten. They learn to find 10 more or 10 less in their head, without counting one by one.

  5. 5

    Measuring, time, and money

    Students measure objects with paper clips or cubes, tell time to the hour and half-hour, and count up coins of the same kind. They also sort information into simple bar graphs and tally charts.

  6. 6

    Shapes and equal shares

    Students name shapes by their sides and corners, put shapes together to build new ones, and split circles and rectangles into halves and fourths. They see that more pieces means smaller pieces.

Mastery Learning Standards
The required skills a student should display by the end of Grade 1.
Standards for Mathematical Practice
  • Make sense of problems and persevere in solving them

    MP.1

    Students read a math problem carefully, figure out what it's asking, and keep trying even when the answer doesn't come right away.

  • Reason abstractly and quantitatively

    MP.2

    Students learn to shift between a real problem and the numbers that represent it. They ask what the numbers mean, not just what the answer is.

  • Construct viable arguments and critique the reasoning of others

    MP.3

    Students explain why their math answer makes sense, then listen to a classmate's reasoning and say whether they agree or disagree.

  • Model with mathematics

    MP.4

    Students use math to make sense of real situations. They draw pictures, write number sentences, or act out problems to show what is happening and find an answer.

  • Use appropriate tools strategically

    MP.5

    Students learn which tools (a ruler, a number line, a calculator) fit which problems. They practice choosing the right one instead of always reaching for the same tool.

  • Attend to precision

    MP.6

    Students say exactly what they mean in math: using the right words, labeling units like inches or dollars, and checking that their calculations are correct before they finish.

  • Look for and make use of structure

    MP.7

    Students notice patterns and rules that are already built into math, like how the ones digit cycles when counting by tens, then use those patterns to solve problems more quickly.

  • Look for and express regularity in repeated reasoning

    MP.8

    Students notice when the same steps keep producing the same result, then use that pattern as a shortcut. Instead of solving each problem from scratch, they recognize what repeats and apply it.

Literacy Skills for Mathematical Proficiency
  • Use multiple reading strategies

    LS.1

    Students read math problems more than once and use context clues to figure out what the question is really asking before they solve it.

  • Understand and use correct mathematical vocabulary

    LS.2

    Students learn the right words for math ideas, like "sum," "equal," or "edge," and practice using them correctly when explaining their work.

  • Discuss and articulate mathematical ideas

    LS.3

    Students talk through math problems out loud, explaining their thinking in words. This builds the habit of saying why an answer makes sense, not just what the answer is.

  • Write mathematical arguments

    LS.4

    Students practice putting math thinking into words, explaining why an answer makes sense or how they solved a problem. Writing it down helps them check their own reasoning.

Operations and Algebraic Thinking
  • Represent and solve problems involving addition and subtraction

    1.OA.A

    Students add and subtract to solve simple word problems, using objects, drawings, or equations to show their thinking.

  • Add and subtract within 20 to solve contextual problems, with unknowns in all…

    1.OA.A.1

    Adding and subtracting numbers up to 20 to solve story problems where a piece is missing. Students use counters, drawings, or a box in an equation to figure out what the unknown number must be.

  • Add three whole numbers whose sum is within 20 to solve contextual problems…

    1.OA.A.2

    Students add three small numbers together (up to a total of 20) to solve simple word problems, using objects, drawings, or number sentences to find a missing number.

  • Understand and apply properties of operations and the relationship between…

    1.OA.B

    Adding and subtracting are connected. Students learn that if 3 + 4 = 7, then 7 - 4 = 3, and that the order numbers are added doesn't change the answer.

  • Apply properties of operations

    1.OA.B.3

    Flipping the order of two numbers still gives the same sum, and grouping numbers differently when adding three of them doesn't change the answer either. Students use these patterns as shortcuts to add and subtract faster.

  • Understand the relationship between addition and subtraction by representing…

    1.OA.B.4

    Subtraction is addition in reverse. Students solve a subtraction problem by asking what number they need to add to get to the total, turning "8 minus 5" into "5 plus what equals 8."

  • Add and subtract within 20

    1.OA.C

    Students practice adding and subtracting with numbers up to 20. They work toward solving these problems quickly and from memory.

  • Add and subtract within 20 using strategies such as counting on, counting back…

    1.OA.C.5

    Students practice adding and subtracting numbers up to 20 by using shortcuts like counting on from the bigger number or breaking numbers apart to make a 10 first.

  • Use mental strategies flexibly and efficiently to develop fluency in addition…

    1.OA.C.6

    Students practice adding and subtracting small numbers in their head, without counting on fingers. By the end of first grade, they know answers like 3 + 4 or 8 - 5 from memory.

  • Work with addition and subtraction equations

    1.OA.D

    Students practice writing and solving simple addition and subtraction number sentences, learning that both sides of an equals sign need to balance.

  • Understand the meaning of the equal sign

    1.OA.D.7

    Students learn that the equal sign means "the same amount on both sides," not just "write the answer here." They decide whether a number sentence like 5 + 2 = 4 + 3 is true or false.

  • Determine the unknown whole number in an addition or subtraction equation with…

    1.OA.D.8

    Students find the missing number in an addition or subtraction problem, like 8 + ? = 11 or 6 + 6 = ?. The missing number can show up anywhere in the problem, not just at the end.

Number and Operations in Base Ten
  • Extend the counting sequence

    1.NBT.A

    Students count past 100, reading and writing numbers all the way to 120. They also figure out what number comes before or after any number in that range.

  • Count to 120, by ones, twos

    1.NBT.A.1

    Students count forward to 120 starting from any number, count backward from 20, and write the numerals they say. They also look at a group of objects and write the number that shows how many.

  • Recognize, describe, extend

    1.NBT.A.2

    Students count forward by ones, twos, fives, and tens, spotting the pattern well enough to predict what number comes next. They practice up to 120 using real objects or by counting aloud.

  • Understand place value

    1.NBT.B

    Students learn that the position of a digit tells you its value. A 2 in the tens place means twenty, not two.

  • Know that the digits of a two-digit number represent groups of tens and ones

    1.NBT.B.3

    Reading a two-digit number means understanding how many tens and how many ones are hiding inside it. The number 39, for example, holds 3 tens and 9 ones.

  • Compare two two-digit numbers based on the meanings of the digits in each place…

    1.NBT.B.4

    Students look at two numbers and decide which is bigger, smaller, or equal, then write that relationship using the symbols >, =, or <. The tens digit gets checked first, then the ones.

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

    1.NBT.C

    Students use what they know about tens and ones to add and subtract numbers. They learn shortcuts based on how our number system works, like adding 10 to any number by changing just the tens digit.

  • Add a two-digit number to a one-digit number and a two-digit number to a…

    1.NBT.C.5

    Students add a two-digit number, like 43, to a single digit or a round number like 20, and explain how they got the answer using blocks, drawings, or what they know about tens and ones.

  • Mentally find 10 more or 10 less than a given two-digit number without having…

    1.NBT.C.6

    Starting from any two-digit number, students add or subtract 10 in their head without counting up or down one by one. They also explain how they knew the answer.

  • Subtract multiples of 10 from any number in the range of 10-99 using concrete…

    1.NBT.C.7

    Students subtract a round number like 10, 20, or 30 from any number up to 99. They use blocks, drawings, or counting patterns to find the answer.

Measurement and Data
  • Measure lengths indirectly and by iterating length units

    1.MD.A

    Students learn to measure how long something is by lining up small same-size objects end to end and counting them. They also figure out which of two objects is longer by comparing each to a third object, like a piece of string.

  • Order three objects by length

    1.MD.A.1

    Students line up three objects from shortest to longest, then figure out which of two things is longer by comparing both to a third object, like a piece of string.

  • Measure the length of an object using nonstandard units

    1.MD.A.2

    Students line up small objects (like paper clips or cubes) along something they want to measure, then count how many fit from end to end.

  • Work with time and money

    1.MD.B

    Students practice reading clocks and counting coins. This is the building block for everyday math skills like telling time to the hour and figuring out how much something costs.

  • Recognize a clock as a measurement tool

    1.MD.B.3

    Students read hour and half-hour times on both analog and digital clocks. They learn that a clock measures time the same way a ruler measures length.

  • Count the value of a set of like coins less than one dollar using the ¢ symbol…

    1.MD.B.4

    Students count a small group of pennies, nickels, dimes, or quarters and write the total using the cents sign. All the coins in the group are the same type.

  • Represent and interpret data

    1.MD.C

    Students sort objects or answers into groups, then read a picture graph or tally chart to answer questions like "how many more" or "which group has the least."

  • Organize, represent, and interpret data with up to three categories using…

    1.MD.C.5

    Students sort information into groups, then show it on a simple picture graph, bar graph, or tally chart. They answer questions like "how many more?" or "how many in each group?" by reading what the chart shows.

Geometry
  • Reason about shapes/solids and their attributes

    1.G.A

    Students sort and describe flat shapes and solid objects by counting their sides, corners, and faces.

  • Distinguish between attributes that define a shape

    1.G.A.1

    Students learn which attributes make a shape what it is (the number of sides and corners) and which ones don't (color or size). Then they draw and build shapes using those rules.

  • Create a composite figure and use the composite figure to make new figures by…

    1.G.A.2

    Students combine basic shapes, like triangles and squares, to build a new shape, then use that combined shape to make something else. It is hands-on practice seeing how smaller shapes fit together to form bigger ones.

  • Partition circles and rectangles into two and four equal shares, describe the…

    1.G.A.3

    Students cut circles and rectangles into two or four equal pieces and name each piece a half, fourth, or quarter. They also notice that cutting a shape into more pieces makes each piece smaller.

Common Questions
  • What math should students know by the end of the year?

    Students should know every addition and subtraction fact up to 10 by heart and work comfortably with numbers up to 20. They should count to 120, tell time to the hour and half hour, and compare two-digit numbers using the symbols for greater than, less than, and equal.

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

    Count coins from a jar, set the kitchen timer for half past the hour, or ask quick fact questions while walking to the car. Five minutes of counting backward from 20 or naming ten more than a number does more than a worksheet.

  • What does it mean to make ten and why does it matter?

    Making ten is a strategy where students break a number apart to get a friendly ten first. For 8 plus 5, students take 2 from the 5 to make 10, then add the leftover 3 to get 13. It sets students up for stronger mental math later.

  • How should the year be sequenced across these topics?

    Most plans start with addition and subtraction within 10, then build counting to 120 and place value with tens and ones. Measurement, time, money, and shapes work well in shorter units woven between the bigger number sense blocks.

  • Which skills usually need the most reteaching?

    The meaning of the equal sign trips up many students, since they read it as get the answer rather than is the same as. Word problems with the unknown at the start, like blank plus 3 equals 8, also need extra practice.

  • My child can answer 5 plus 3 but freezes on a story problem. What helps?

    Read the problem together and act it out with buttons, cereal, or small toys. Ask what is happening and what is missing before reaching for numbers. The math is usually fine once the story makes sense.

  • How do I know students are ready for second grade math?

    Ready students recall sums and differences within 10 quickly, add a two-digit number and a one-digit number using place value, and find 10 more or 10 less in their head. They can also tell time to the half hour and sort coins by value.