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What does a student learn in ?

This is the year math stretches past ten and starts working in groups of tens and ones. Students add and subtract within 20 until the facts come quickly, and they count, read, and write numbers all the way to 120. They start telling time to the hour and half hour, name pennies and dimes, and split circles and rectangles into halves and fourths. By spring, students can solve a simple word problem within 20 and explain that the number 47 means 4 tens and 7 ones.

  • Adding and subtracting
  • Place value
  • Counting to 120
  • Telling time
  • Coins
  • Shapes and halves
Source: Alabama Alabama Course of Study
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

    Adding and subtracting within 20

    Students solve story problems by counting objects, drawing pictures, and writing simple equations. They learn that the equal sign means the same as, and start to see how addition and subtraction connect.

  2. 2

    Math facts to 10

    Students get quick and confident with small sums and differences. They use tricks like counting on, making a ten, and using a known fact to figure out a harder one.

  3. 3

    Counting and place value to 120

    Students count, read, and write numbers all the way to 120. They learn that a two-digit number is built from tens and ones, and compare numbers using greater than, less than, and equal to.

  4. 4

    Adding and subtracting bigger numbers

    Students add within 100 using drawings and place value, and subtract tens from tens. They practice finding 10 more or 10 less in their head and explain the steps they used.

  5. 5

    Measuring, time, and money

    Students put objects in order by length and measure with paper clips or cubes. They tell time to the hour and half hour on analog and digital clocks, and name pennies and dimes.

  6. 6

    Shapes, fractions, and data

    Students build and draw shapes, then split circles and rectangles into halves and fourths. They also sort information into categories and answer questions like how many and how many more.

Mastery Learning Standards
The required skills a student should display by the end of Grade 1.
Operations and Algebraic Thinking
  • Represent and solve problems involving addition and subtraction

    1.OA.A

    Students use pictures, objects, and number sentences to figure out simple adding and subtracting problems. They learn that addition puts groups together and subtraction takes some away.

  • Use addition and subtraction to solve word problems within 20 by using concrete…

    1.OA.A.1

    Students solve simple story problems by adding or subtracting numbers up to 20. They might use blocks, sketches, or a number sentence with a blank to find the missing answer.

  • Add to with change unknown to solve word problems within 20

    1.OA.A.1.a

    Students read a story problem where a starting number and ending number are given, then figure out how much was added to get there. The numbers stay within 20.

  • Take from with change unknown to solve word problems within 20

    1.OA.A.1.b

    Students read a story problem where something is taken away and figure out how much was removed. For example: "There were 12 apples. Some were eaten. Now there are 7. How many were eaten?"

  • Put together/take apart with addend unknown to solve word problems within 20

    1.OA.A.1.c

    Students hear a story problem where part of a number is missing and figure out what the unknown piece must be. For example: "5 birds are in a tree. Some more land. Now there are 9. How many landed?"

  • Compare quantities, with difference unknown, bigger unknown

    1.OA.A.1.d

    Word problems ask students to figure out how much bigger or smaller one amount is than another. Students practice all three angles: finding the gap, finding the larger number, and finding the smaller one.

  • Solve word problems that call for addition of three whole numbers whose sum is…

    1.OA.A.2

    Students add three numbers together to solve a short story problem, with a sum of 20 or less. They can use objects, drawings, or a simple equation to find the missing number.

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

    1.OA.B

    Adding and subtracting are opposites of each other, and students learn to use that connection to solve problems faster. They also discover that changing the order of numbers in an addition problem doesn't change the answer.

  • Apply properties of operations as strategies to add and subtract

    1.OA.B.3

    Changing the order of numbers in an addition problem still gives the same answer. Students use that idea as a shortcut to add and subtract more easily.

  • Explain subtraction as an unknown-addend problem

    1.OA.B.4

    Subtraction is just addition in reverse. Students learn that "8 minus 5" means asking "what number plus 5 equals 8?" and use that thinking to solve subtraction problems faster.

  • Add and subtract within 20

    1.OA.C

    Students practice adding and subtracting with numbers up to 20. They build toward doing this quickly and from memory, not just by counting on their fingers.

  • Relate counting to addition and subtraction

    1.OA.C.5

    Counting up or back is one way to add or subtract. Students practice seeing the connection between counting a sequence of numbers and solving simple addition or subtraction problems.

  • Add and subtract within 20

    1.OA.C.6

    Students practice adding and subtracting numbers up to 20 until the answers come quickly. This builds the number fluency they'll use in every math lesson ahead.

  • Demonstrate fluency with addition and subtraction facts with sums or…

    1.OA.C.6.a

    Students add and subtract small numbers by counting forward or backward from the bigger number. For example, to solve 6 + 3, they start at 6 and count up three steps to 9.

  • Demonstrate fluency with addition and subtraction facts with sums or…

    1.OA.C.6.b

    Students add and subtract small numbers quickly by building up to 10 first. For example, to solve 8 + 3, they fill 8 to 10, then add the leftover 1.

  • Demonstrate fluency with addition and subtraction facts with sums or…

    1.OA.C.6.c

    Students solve addition and subtraction problems up to 10 by breaking a number into smaller parts to make the math easier. For example, to solve 13 minus 4, they split 4 into 3 and 1, subtract 3 from 13 to get 10, then subtract 1 more.

  • Demonstrate fluency with addition and subtraction facts with sums or…

    1.OA.C.6.d

    Students learn that addition and subtraction are connected, so knowing 4 + 3 = 7 also means knowing 7 - 3 = 4. That link helps them solve small math facts quickly from memory.

  • Demonstrate fluency with addition and subtraction facts with sums or…

    1.OA.C.6.e

    Students solve tricky addition or subtraction problems by swapping them for easier ones they already know. For example, to add 6 + 7, they might think of it as 6 + 6 + 1.

  • Work with addition and subtraction equations

    1.OA.D

    Students practice writing and solving simple addition and subtraction equations, learning that the equals sign means both sides of a number sentence have the same value.

  • Explain that the equal sign means "the same as." Determine whether equations…

    1.OA.D.7

    The equal sign means both sides of a number sentence have the same value. Students look at equations like 5 = 3 + 2 and decide whether they are true or false.

  • Solve for the unknown whole number in various positions in an addition or…

    1.OA.D.8

    A missing number in a number sentence can appear anywhere: first, last, or in the middle. Students find what number makes the equation balance, whether it sits before or after the plus or minus sign.

  • Understand simple patterns

    1.OA.E

    Students spot what comes next in a repeating pattern, like shapes or numbers that follow a rule. They practice noticing what stays the same and predicting what comes after.

  • Reproduce, extend, and create patterns and sequences of numbers using a variety…

    1.OA.E.9

    Students copy a number pattern, continue it further, and then make one of their own. They might arrange counters or write numbers that repeat or grow in a predictable way.

Operations with Numbers: Base Ten
  • Extend the counting sequence

    1.NBT.A

    Students count forward and backward beyond 100, reading and writing numbers in order. This builds the number sense they need before adding and subtracting larger numbers.

  • Extend the number sequence from 0 to 120

    1.NBT.A.10

    Students count, read, and write numbers all the way to 120, starting from any number, not just zero.

  • Count forward and backward by ones, starting at any number less than 120

    1.NBT.A.10.a

    Students count up or down from any starting number below 120, not just from 1. This builds the number sense they need before adding and subtracting bigger numbers.

  • Read numerals from 0 to 120

    1.NBT.A.10.b

    Students read numbers written on a page, from 0 all the way up to 120. This includes two-digit numbers like 45 and three-digit numbers like 110.

  • Write numerals from 0 to 120

    1.NBT.A.10.c

    Students write numbers in digits from 0 to 120, not just in words. This builds the foundation for reading and writing larger numbers they will see on price tags, clocks, and scoreboards.

  • Represent a number of objects from 0 to 120 with a written numeral

    1.NBT.A.10.d

    Students look at a group of objects, count them, and write the number. They practice this with any amount from zero up to 120.

  • Understand place value

    1.NBT.B

    Students learn that a two-digit number is built from tens and ones. A number like 34 means 3 groups of ten and 4 leftover ones.

  • Explain that the two digits of a two-digit number represent amounts of tens and…

    1.NBT.B.11

    Reading a two-digit number means seeing two separate ideas at once: how many groups of ten and how many ones are left over. Students learn that the digits in a number like 47 each carry a different meaning depending on where they sit.

  • Identify a bundle of ten ones as a "ten."

    1.NBT.B.11.a

    Students learn that ten single units grouped together make one "ten." This is the foundation of how our number system works, from ones to tens to hundreds and beyond.

  • Identify the numbers from 11 to 19 as composed of a ten and one, two, three…

    1.NBT.B.11.b

    Students learn that numbers like 13 or 17 are built from one group of ten plus some leftover ones. A number like 16 means one full group of ten and six single ones.

  • Identify the numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 as one, two, three…

    1.NBT.B.11.c

    Students learn that 30 means three tens, 70 means seven tens, and so on. Each multiple of ten is just a count of how many groups of ten are stacked up, with nothing left over.

  • Compare pairs of two-digit numbers based on the values of the tens and ones…

    1.NBT.B.12

    Students compare two two-digit numbers, like 34 and 47, and write which is bigger, smaller, or equal using the symbols >, =, and <. They also say it out loud using phrases like "34 is less than 47."

  • 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 might break a number apart, use a number line, or think about how tens work to find the answer.

  • Add within 100, using concrete models or drawings and strategies based on place…

    1.NBT.C.13

    Students add two numbers up to 100 by drawing pictures or using blocks to show tens and ones. They use what they know about place value to figure out the total, not just count up one by one.

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

    1.NBT.C.13.a

    Students add a two-digit number (like 34) to a one-digit number (like 7). The focus is on combining those two amounts to find the total.

  • Add a two-digit number and a multiple of 10

    1.NBT.C.13.b

    Students add a two-digit number, like 47, to a round number like 20 or 30. The tens digit changes, but the ones digit stays the same.

  • Demonstrate that in adding two-digit numbers, tens are added to tens, ones are…

    1.NBT.C.13.c

    Adding two-digit numbers means adding the tens place to the tens place and the ones place to the ones place. Sometimes the ones add up to ten or more, so students bundle those into a new ten.

  • Relate the strategy for adding a two-digit number and a one-digit number to a…

    1.NBT.C.13.d

    Students add a two-digit number and a one-digit number, then write out the steps they used and explain why the method works.

  • Given a two-digit number, mentally find 10 more or 10 less than the number…

    1.NBT.C.14

    Students look at a two-digit number and figure out what it becomes when you add or subtract ten, without counting. They can also explain how they knew.

  • Subtract multiples of 10 from multiples of 10 in the range 10-90

    1.NBT.C.15

    Students subtract tens from tens, like 70 minus 40, using blocks or drawings to show their thinking. They connect what they did with the objects to what they write on paper.

Data Analysis
  • Collect and analyze data and interpret results

    1.DA.A

    Students gather information, sort it into groups, and answer questions about what they found. Think of counting how many classmates chose pizza versus sandwiches, then explaining which had more.

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

    1.DA.A.16

    Students sort objects or answers into groups (up to three) and read a simple chart or picture graph to compare which group has more or fewer.

  • Ask and answer questions about the total number of data points in organized…

    1.DA.A.16.a

    Students look at a chart or picture graph and figure out how many items were counted in all. They practice asking and answering simple questions about that total.

  • Summarize data on Venn diagrams, pictographs

    1.DA.A.16.b

    Students sort real objects or pictures into Venn diagrams, pictographs, and yes-no charts to show what they found. The chart or diagram becomes a simple summary anyone can read at a glance.

  • Determine "how many" in each category using up to three categories of data

    1.DA.A.16.c

    Students sort objects or answers into groups (like colors or types of animals) and count how many are in each group. They work with up to three groups at a time.

  • Determine "how many more" or "how many less" are in one category than in…

    1.DA.A.16.d

    Students look at a simple chart or picture graph and figure out how many more items are in one group than another. For example, if 7 students like dogs and 4 like cats, they subtract to find the difference.

Measurement
  • Describe and compare measurable attributes

    1.M.A

    Students describe things like length, weight, and size, then compare two objects to say which is longer, heavier, or bigger.

  • Order three objects by length

    1.M.A.17

    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 pencil or a strip of paper.

  • Determine the length of an object using non-standard units with no gaps or…

    1.M.A.18

    Students measure how long something is by lining up small objects end to end, like paper clips along a pencil, and count how many fit with no spaces between them.

  • Work with time and money

    1.M.B

    Students read time on a clock and identify coins by name and value. This is the building block for telling time to the hour and half-hour and for counting pennies, nickels, and dimes.

  • Tell and write time to the hours and half hours using analog and digital clocks

    1.M.B.19

    Students read analog and digital clocks and write down times like 3:00 or 3:30. This covers whole hours and half hours only.

  • Identify pennies and dimes by name and value

    1.M.B.20

    Students learn to recognize a penny and a dime by sight and know what each one is worth. A penny equals one cent; a dime equals ten cents.

Geometry
  • Reason with shapes and their attributes

    1.G.A

    Students sort and compare flat and solid shapes by describing their sides, corners, and size.

  • Build and draw shapes which have defining attributes

    1.G.A.21

    Students build and draw shapes based on specific rules, like "four equal sides" or "three corners." The focus is on what makes a shape what it is, not just what it looks like.

  • Distinguish between defining attributes and non-defining attributes

    1.G.A.21.a

    Shapes have must-have features (like the number of sides) and changeable features (like color or size). Students learn which details actually make a triangle a triangle, and which ones don't matter.

  • Compose two-dimensional shapes

    1.G.A.22

    Students put together simple shapes like squares, triangles, and rectangles to build a new, bigger shape. Then they use that new shape to build again.

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

    1.G.A.23

    Students cut circles and rectangles into two or four equal pieces, then name those pieces using words like halves, fourths, and quarters.

  • Describe "the whole" as two of or four of the shares of circles and rectangles…

    1.G.A.23.a

    Students learn that a whole circle or rectangle can be described as two halves or four fourths. If a shape is cut into equal pieces, all those pieces together make the whole shape.

  • Explain that decomposing into more equal shares creates smaller shares of…

    1.G.A.23.b

    Cutting a circle or rectangle into more equal pieces makes each piece smaller. Students explain why four equal slices of the same shape are each smaller than two equal slices of the same shape.

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

    Students should add and subtract within 20, count to 120, read and write those numbers, and know that a number like 34 means 3 tens and 4 ones. They should also tell time to the hour and half hour, name a penny and a dime, and split a circle or rectangle into halves and fourths.

  • How can I help with math at home in a few minutes a day?

    Use what is already around. Count pennies and dimes on the counter, ask how many minutes until the half hour, or pose quick story problems like "You had 8 grapes and ate 3. How many are left?" Five minutes a day adds up.

  • What does fact fluency look like at this age?

    By the end of the year, students should answer addition and subtraction facts up to 10 quickly and without finger counting for every problem. They use strategies like counting on from the bigger number, making a ten, or using a known fact to figure out a nearby one.

  • How should I sequence the year?

    Most teachers start with addition and subtraction within 10 and the meaning of the equal sign, then move into place value and counting to 120 by midyear. Save addition within 100, measurement, time, money, and shapes for the second half, once number sense is solid.

  • Which skills usually need the most reteaching?

    The equal sign trips up almost every class. Students read it as "the answer is" instead of "the same as," so equations like 8 = 3 + 5 confuse them. Word problems with a missing change, such as "I had 7, then got some more, now I have 12," also need repeated practice.

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

    Not yet. Finger counting is a normal step, especially early in the year. Watch for steady progress toward strategies like counting on from the bigger number or making a ten. If facts under 10 still feel slow by spring, practice a few flashcards a night.

  • How do I know if a student is ready for next year?

    A ready student adds and subtracts within 20 with reasoning, not just guessing, and can explain that 47 is 4 tens and 7 ones. They can solve a two-step word problem with a drawing, tell time to the half hour, and split a shape into equal halves and fourths.

  • What is the best way to practice word problems at home?

    Act them out with real objects. Use crackers, coins, or toy cars and tell a short story with a missing part: "There were 6 cars. Some drove away. Now there are 2. How many drove away?" Let students draw or move objects to find the answer.