Building bigger numbers
Students stretch from counting to working with numbers up to 1,000. They learn what the digits in a number like 472 actually stand for and can read, write, and compare these larger numbers.
This is the year math stretches past 100 and starts working in groups of ten. Students learn to add and subtract larger numbers by thinking about tens and ones, not by counting one at a time. They measure with rulers, read clocks, count coins, and pull answers from simple bar graphs. By spring, students can solve a word problem with two-digit numbers and explain their thinking.
Students stretch from counting to working with numbers up to 1,000. They learn what the digits in a number like 472 actually stand for and can read, write, and compare these larger numbers.
Students work on quick recall of basic addition and subtraction facts, then use that fluency to add and subtract larger numbers. Expect mental math at the dinner table to get faster.
Students pick up rulers and measure in inches and centimeters. They also start telling time on a clock with hands and counting mixed coins and dollar bills.
Students name and sort shapes by their sides and corners, then split shapes into halves, thirds, and fourths. This is the early groundwork for fractions in later grades.
Students read and build simple bar graphs and picture graphs using data they collect. They also start arranging objects into equal rows, which sets up multiplication next year.
Students read a math problem, figure out what it is asking, and keep trying even when the answer isn't obvious right away.
Students take a word problem and translate it into numbers, then check that the answer still makes sense in the original situation. Math and meaning stay connected.
Students explain why their math answer makes sense, using numbers or shapes as proof. They also listen to a classmate's reasoning and say whether they agree or why they don't.
Students use math to make sense of real situations, like splitting a snack equally or figuring out if they have enough money. They draw pictures, write number sentences, or use objects to show how the math works.
Students choose the right tool for the math problem in front of them. That might mean grabbing a ruler, sketching on paper, or estimating in their head.
Students use the right math words, label their answers with the correct units (like inches or minutes), and check that their calculations are exact.
Students notice patterns and structure in math, like seeing that a column of numbers all end in zero or that a shape can be split into smaller familiar pieces. They use those patterns to solve problems faster.
Students notice when the same steps keep working the same way, like seeing that adding zero never changes a number. They use that pattern as a shortcut instead of starting from scratch each time.
| Standard | Definition | Code |
|---|---|---|
| Make Sense of Problems | Students read a math problem, figure out what it is asking, and keep trying even when the answer isn't obvious right away. | NH-MATH.MP.2.1 |
| Reason Abstractly | Students take a word problem and translate it into numbers, then check that the answer still makes sense in the original situation. Math and meaning stay connected. | NH-MATH.MP.2.2 |
| Construct Arguments | Students explain why their math answer makes sense, using numbers or shapes as proof. They also listen to a classmate's reasoning and say whether they agree or why they don't. | NH-MATH.MP.2.3 |
| Model with Mathematics | Students use math to make sense of real situations, like splitting a snack equally or figuring out if they have enough money. They draw pictures, write number sentences, or use objects to show how the math works. | NH-MATH.MP.2.4 |
| Use Tools Strategically | Students choose the right tool for the math problem in front of them. That might mean grabbing a ruler, sketching on paper, or estimating in their head. | NH-MATH.MP.2.5 |
| Attend to Precision | Students use the right math words, label their answers with the correct units (like inches or minutes), and check that their calculations are exact. | NH-MATH.MP.2.6 |
| Use Structure | Students notice patterns and structure in math, like seeing that a column of numbers all end in zero or that a shape can be split into smaller familiar pieces. They use those patterns to solve problems faster. | NH-MATH.MP.2.7 |
| Express Regularity | Students notice when the same steps keep working the same way, like seeing that adding zero never changes a number. They use that pattern as a shortcut instead of starting from scratch each time. | NH-MATH.MP.2.8 |
Second graders practice counting, comparing, and understanding whole numbers up to 1,000, along with basic fractions like halves and fourths. The focus is on how our number system is built and how numbers relate to each other.
Students practice adding, subtracting, multiplying, and dividing to solve word problems and number puzzles. They learn to write and read math expressions that show how numbers relate to each other.
Students read and build simple charts and graphs, then answer questions about what the data shows. They use picture graphs, bar graphs, and tally charts to compare amounts and spot patterns.
Students sort and describe flat shapes (like squares and circles) and solid shapes (like cubes and cylinders). They notice sides, corners, and faces to tell shapes apart.
Students use ratio reasoning to solve grade-level math problems, comparing quantities like "3 apples for every 2 oranges" to figure out totals or missing amounts.
| Standard | Definition | Code |
|---|---|---|
| Counting and Number | Second graders practice counting, comparing, and understanding whole numbers up to 1,000, along with basic fractions like halves and fourths. The focus is on how our number system is built and how numbers relate to each other. | NH-MATH.K8.2.1 |
| Operations and Algebraic Thinking | Students practice adding, subtracting, multiplying, and dividing to solve word problems and number puzzles. They learn to write and read math expressions that show how numbers relate to each other. | NH-MATH.K8.2.2 |
| Measurement and Data | Students read and build simple charts and graphs, then answer questions about what the data shows. They use picture graphs, bar graphs, and tally charts to compare amounts and spot patterns. | NH-MATH.K8.2.3 |
| Geometry | Students sort and describe flat shapes (like squares and circles) and solid shapes (like cubes and cylinders). They notice sides, corners, and faces to tell shapes apart. | NH-MATH.K8.2.4 |
| Ratios and Proportional Relationships | Students use ratio reasoning to solve grade-level math problems, comparing quantities like "3 apples for every 2 oranges" to figure out totals or missing amounts. | NH-MATH.K8.2.5 |
New Hampshire's spring summative math test for grades 3 through 8, aligned to New Hampshire's College and Career Ready Standards for Math.
Students should add and subtract within 100 quickly, understand that a 3-digit number is made of hundreds, tens, and ones, tell time to the nearest five minutes, and measure with a ruler in inches and centimeters. They should also solve word problems with one or two steps.
Count coins from a jar, add up prices at the grocery store, or ask how many minutes until dinner. Short, real questions build the same number sense that homework is trying to build, without feeling like a worksheet.
Ask them to draw the problem or act it out with small objects like beans or coins. If they still cannot start, read the problem aloud together and ask what is happening in the story before worrying about the numbers.
Yes. By the end of the year, sums and differences within 20 should come from memory, not from counting on fingers. Two or three minutes of flashcards or quick verbal practice a few times a week is enough for most students.
Start with tens and ones using bundles or base-ten blocks, then move to hundreds once students can compose and decompose tens fluently. Hold off on standard algorithms until students can explain regrouping with a drawing or with blocks.
Regrouping in subtraction, telling time to five minutes, and reading word problems with two steps. Plan to revisit each one in short bursts throughout the year rather than treating them as one-and-done units.
Students measure objects with rulers in inches and centimeters, compare lengths, and solve simple word problems about length. Pair it with data work by having students measure classroom objects and put the results on a bar graph or line plot.
Students can solve one- and two-step problems involving adding, subtracting, and comparing within 100. They should be able to explain their thinking with a drawing, a number sentence, or words, not just produce an answer.
By spring, students should add and subtract within 100 without much hesitation, read and write numbers up to 1,000, tell time on an analog clock, and count mixed coins. If any of these still feel slow, a few minutes of nightly practice closes the gap quickly.