Adding and subtracting within 20
Students start the year getting quick and confident with addition and subtraction facts up to 20. Expect math fact practice at home and word problems that take a few steps to solve.
What does a student learn in
This is the year math grows from counting to thinking in groups of ten. Students learn that the 4 in 47 means four tens, and they use that idea to add and subtract numbers up to 100 in their heads and on paper. They also start measuring with rulers and reading simple graphs. By spring, students can solve a word problem about coins or inches and explain how they got the answer.
- Place value
- Addition and subtraction
- Word problems
- Measurement
- Bar graphs
- Shapes
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
- 2
Place value to 1,000
Students learn that the digits in a number like 437 stand for hundreds, tens, and ones. They count by 5s, 10s, and 100s, and compare numbers using greater than and less than.
- 3
Adding and subtracting bigger numbers
Students add and subtract two- and three-digit numbers, often by breaking them apart into hundreds, tens, and ones. Parents may see scratch paper with numbers stacked or split into pieces.
- 4
Measuring and telling time
Students use rulers to measure in inches and centimeters, read clocks to the nearest five minutes, and count coins and dollar bills. They also start reading simple bar graphs and picture graphs.
- 5
Shapes and equal parts
Students name and draw shapes by their sides and angles, and split rectangles and circles into halves, thirds, and fourths. This is the early groundwork for fractions next year.
Mastery Learning Standards
The required skills a student should display by the end of Grade 2.
Standards for Mathematical Practice
Standards for Mathematical Practice
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Make Sense of Problems
Students read a math problem carefully, figure out what it is asking, and keep trying even when the first approach does not work.
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Reason Abstractly
Students take a word problem and turn it into numbers and symbols to solve it, then translate the answer back into real-world terms. They move between the math on paper and the situation it describes.
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Construct Arguments
Students explain why their math answer makes sense, then listen to a classmate's explanation and say whether they agree or why they don't.
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Model with Mathematics
Students use math to make sense of real situations: drawing a picture to figure out how many chairs fit at a table, or writing a number sentence to split up a snack. The math comes from the problem, not a textbook page.
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Use Tools Strategically
Students choose the right tool for the math problem in front of them, whether that means reaching for a ruler, sketching on paper, or using a calculator. The goal is knowing when each one helps.
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Attend to Precision
Students use the right math words, label their answers with the correct units (like inches or dollars), and check their calculations carefully.
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Use Structure
Students notice patterns and rules hiding inside math problems, like how adding zero never changes a number or how shapes fit together in a predictable way. Spotting that structure helps them solve new problems faster.
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Express Regularity
Students notice when a math shortcut keeps working the same way, like adding 10 always changing just the tens place. They use that pattern to solve new problems faster instead of starting from scratch each time.
| Standard | Definition | Code |
|---|---|---|
| Make Sense of Problems | Students read a math problem carefully, figure out what it is asking, and keep trying even when the first approach does not work. | ME-MATH.MP.2.1 |
| Reason Abstractly | Students take a word problem and turn it into numbers and symbols to solve it, then translate the answer back into real-world terms. They move between the math on paper and the situation it describes. | ME-MATH.MP.2.2 |
| Construct Arguments | Students explain why their math answer makes sense, then listen to a classmate's explanation and say whether they agree or why they don't. | ME-MATH.MP.2.3 |
| Model with Mathematics | Students use math to make sense of real situations: drawing a picture to figure out how many chairs fit at a table, or writing a number sentence to split up a snack. The math comes from the problem, not a textbook page. | ME-MATH.MP.2.4 |
| Use Tools Strategically | Students choose the right tool for the math problem in front of them, whether that means reaching for a ruler, sketching on paper, or using a calculator. The goal is knowing when each one helps. | ME-MATH.MP.2.5 |
| Attend to Precision | Students use the right math words, label their answers with the correct units (like inches or dollars), and check their calculations carefully. | ME-MATH.MP.2.6 |
| Use Structure | Students notice patterns and rules hiding inside math problems, like how adding zero never changes a number or how shapes fit together in a predictable way. Spotting that structure helps them solve new problems faster. | ME-MATH.MP.2.7 |
| Express Regularity | Students notice when a math shortcut keeps working the same way, like adding 10 always changing just the tens place. They use that pattern to solve new problems faster instead of starting from scratch each time. | ME-MATH.MP.2.8 |
K-8 Mathematics Content
K-8 Mathematics Content
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Counting and Number
Second graders work with numbers up to 1,000, learning to count, compare, and understand how numbers are built from hundreds, tens, and ones. They also take first steps with fractions, like seeing that a shape split into two equal parts gives you one half.
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Operations and Algebraic Thinking
Second graders use addition, subtraction, multiplication, and division to solve word problems and write number sentences that show how the math works.
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Measurement and Data
Reading a bar graph or picture chart, students figure out what the data shows and answer questions about it, like which group had more or how many in all.
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Geometry
Students sort and describe flat shapes like squares and triangles, and solid shapes like cubes and cones. They measure sides and compare how shapes are alike or different.
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Ratios and Proportional Relationships
Students use ratios to solve everyday problems, like figuring out how many apples come with every 2 oranges. They practice comparing amounts and scaling them up or down to find a missing number.
| Standard | Definition | Code |
|---|---|---|
| Counting and Number | Second graders work with numbers up to 1,000, learning to count, compare, and understand how numbers are built from hundreds, tens, and ones. They also take first steps with fractions, like seeing that a shape split into two equal parts gives you one half. | ME-MATH.K8.2.1 |
| Operations and Algebraic Thinking | Second graders use addition, subtraction, multiplication, and division to solve word problems and write number sentences that show how the math works. | ME-MATH.K8.2.2 |
| Measurement and Data | Reading a bar graph or picture chart, students figure out what the data shows and answer questions about it, like which group had more or how many in all. | ME-MATH.K8.2.3 |
| Geometry | Students sort and describe flat shapes like squares and triangles, and solid shapes like cubes and cones. They measure sides and compare how shapes are alike or different. | ME-MATH.K8.2.4 |
| Ratios and Proportional Relationships | Students use ratios to solve everyday problems, like figuring out how many apples come with every 2 oranges. They practice comparing amounts and scaling them up or down to find a missing number. | ME-MATH.K8.2.5 |
No state assessments at this grade
Students take their next one in Grade 3.
Maine Through Year Assessment: Mathematics (Grades 3-8)
Through-year mathematics assessment for grades 3 through 8, aligned to the Maine Learning Results.
- When given:
- multiple windows across the year
- Frequency:
- multiple windows annually
Common Questions
What math should students know by the end of this year?
Students should add and subtract within 100 quickly and accurately, count and group up to 1,000, tell time on a clock, count coins, measure with a ruler, and read simple bar graphs. They should also solve short word problems and explain their thinking.
How can I help at home if my child gets stuck on a word problem?
Ask them to read it out loud and draw a quick picture of what is happening. Then ask what they already know and what the question is really asking. Five minutes of talking it through beats handing over the answer.
Do students need to memorize addition and subtraction facts?
Yes. By the end of the year, sums and differences within 20 should come from memory, not finger counting. Short daily practice with flash cards or quick games at dinner makes a real difference.
How should I sequence the year?
Most teachers start with addition and subtraction within 20 to build fluency, move into place value to 1,000, then layer in measurement, time, and money. Geometry and data work well later in the year once number sense is steady.
Which skills usually need the most reteaching?
Place value past 100 and regrouping in two-digit subtraction trip up the most students. Telling time to the nearest five minutes and counting mixed coins are close behind. Plan extra rounds of practice for these.
What can we practice in 10 minutes a day at home?
Count coins from a jar, tell time on a real clock, measure objects with a ruler, or play a quick card game with adding and subtracting. Cooking and shopping also give honest practice with numbers and measurement.
How do I know if a student is ready for third grade math?
They can add and subtract within 100 without counting on fingers, read and write numbers to 1,000, solve two-step word problems, tell time to the nearest five minutes, and measure with a ruler in inches and centimeters. Confidence explaining their thinking matters too.
What does mastery of place value look like at this grade?
Students can read, write, and compare numbers to 1,000 and explain that the 3 in 432 means 3 tens. They can break numbers apart by hundreds, tens, and ones, and use that to add and subtract within 100.