Counting and number sense
Students count to 120 and start reading and writing those numbers. They learn that the digits in a number stand for tens and ones, so 34 means three tens and four ones.
This is the year math stretches past counting into adding and subtracting within 20. Students learn that numbers can be grouped in tens, so 47 means four tens and seven ones. They start solving small word problems and explaining how they got an answer. By spring, students can add and subtract within 20, tell time on a clock to the half hour, and measure a pencil with a ruler.
Students count to 120 and start reading and writing those numbers. They learn that the digits in a number stand for tens and ones, so 34 means three tens and four ones.
Students solve addition and subtraction problems with small numbers, often by drawing or using fingers and counters. They start learning facts by heart and notice patterns that make the math faster.
Students tackle short word problems about putting things together, taking some away, or comparing two amounts. They learn to pick the operation that matches the story and check that the answer makes sense.
Students compare lengths and measure objects using paper clips or cubes lined up end to end. They also learn to tell time on a clock to the hour and half hour.
Students name and build shapes like rectangles, triangles, and cubes, and split them into halves and quarters. They also sort objects into groups and read simple picture graphs.
Students figure out what a math problem is asking before they start solving it, then keep trying even when it gets hard.
Students take a word problem and turn it into numbers and symbols to solve it, then translate the answer back into what it means in real life. Math and meaning connect in both directions.
Students explain why their math answer makes sense and listen to how a classmate solved the same problem. They practice disagreeing respectfully and changing their mind when a better reason comes along.
Students use math to make sense of real situations, like figuring out how many chairs are needed at a table or how many apples are left after sharing. Math becomes a tool for solving problems they actually run into.
Students choose the right tool for the problem, whether that means a ruler, a number line, scratch paper, or a calculator. They think before grabbing something and use what actually helps them get to the answer.
Students choose the right math words and check their work carefully. If a problem involves inches or dollars, they use those labels in the answer.
Students notice patterns and shapes in numbers and math problems, then use those patterns to solve new problems. For example, recognizing that tens and ones always combine the same way helps students add faster.
Students notice when the same steps keep appearing in math problems and use that pattern as a shortcut. Instead of starting from scratch each time, they recognize the rule behind the repetition.
| Standard | Definition | Code |
|---|---|---|
| Make Sense of Problems | Students figure out what a math problem is asking before they start solving it, then keep trying even when it gets hard. | NH-MATH.MP.1.1 |
| Reason Abstractly | Students take a word problem and turn it into numbers and symbols to solve it, then translate the answer back into what it means in real life. Math and meaning connect in both directions. | NH-MATH.MP.1.2 |
| Construct Arguments | Students explain why their math answer makes sense and listen to how a classmate solved the same problem. They practice disagreeing respectfully and changing their mind when a better reason comes along. | NH-MATH.MP.1.3 |
| Model with Mathematics | Students use math to make sense of real situations, like figuring out how many chairs are needed at a table or how many apples are left after sharing. Math becomes a tool for solving problems they actually run into. | NH-MATH.MP.1.4 |
| Use Tools Strategically | Students choose the right tool for the problem, whether that means a ruler, a number line, scratch paper, or a calculator. They think before grabbing something and use what actually helps them get to the answer. | NH-MATH.MP.1.5 |
| Attend to Precision | Students choose the right math words and check their work carefully. If a problem involves inches or dollars, they use those labels in the answer. | NH-MATH.MP.1.6 |
| Use Structure | Students notice patterns and shapes in numbers and math problems, then use those patterns to solve new problems. For example, recognizing that tens and ones always combine the same way helps students add faster. | NH-MATH.MP.1.7 |
| Express Regularity | Students notice when the same steps keep appearing in math problems and use that pattern as a shortcut. Instead of starting from scratch each time, they recognize the rule behind the repetition. | NH-MATH.MP.1.8 |
Students count, compare, and work with whole numbers up to 120 and start exploring simple fractions. They build number sense by adding, subtracting, and understanding how numbers fit together on a number line.
Students add and subtract to solve simple word problems, like sharing crayons or counting apples. They figure out how many are left, how many more are needed, or how many in all.
Students read simple tables and picture graphs to answer questions like "how many more?" or "which has the least?" They learn to organize information so it's easier to compare.
Students sort flat shapes like squares and triangles and solid shapes like cubes and spheres by describing their sides, corners, and faces. They also take simple measurements to compare shapes.
Students use ratio reasoning to solve everyday problems at the first-grade level, such as comparing groups of objects or figuring out how many of one thing go with another.
| Standard | Definition | Code |
|---|---|---|
| Counting and Number | Students count, compare, and work with whole numbers up to 120 and start exploring simple fractions. They build number sense by adding, subtracting, and understanding how numbers fit together on a number line. | NH-MATH.K8.1.1 |
| Operations and Algebraic Thinking | Students add and subtract to solve simple word problems, like sharing crayons or counting apples. They figure out how many are left, how many more are needed, or how many in all. | NH-MATH.K8.1.2 |
| Measurement and Data | Students read simple tables and picture graphs to answer questions like "how many more?" or "which has the least?" They learn to organize information so it's easier to compare. | NH-MATH.K8.1.3 |
| Geometry | Students sort flat shapes like squares and triangles and solid shapes like cubes and spheres by describing their sides, corners, and faces. They also take simple measurements to compare shapes. | NH-MATH.K8.1.4 |
| Ratios and Proportional Relationships | Students use ratio reasoning to solve everyday problems at the first-grade level, such as comparing groups of objects or figuring out how many of one thing go with another. | NH-MATH.K8.1.5 |
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 small numbers fluently, count past 100, and solve simple word problems with objects or pictures. They should also tell time on a clock, measure with a ruler, and name basic shapes like rectangles and triangles.
Count steps to the car, sort coins on the table, or ask how many forks are needed for dinner. Quick questions like these build number sense without feeling like homework.
Hand them something to count with, like buttons, beans, or fingers. Ask them to draw the problem or act it out with toys. Getting unstuck matters more than getting the right answer quickly.
Start with counting and number bonds within 10, then build to facts within 20 using strategies like making ten and doubles. Save two-digit addition for later in the year, once students can explain their thinking with objects and drawings.
Subtraction within 20 and word problems with an unknown in the middle or start. Many students can solve "5 plus 3" but freeze on "5 plus what equals 8." Plan extra practice with missing-number problems and story problems told out loud.
Students should know addition and subtraction facts within 10 quickly by the end of the year, and be working toward facts within 20. Short, frequent practice with flashcards or games works better than long drill sessions.
Students learn to measure length by lining up same-size objects end to end, then move to rulers. For time, they read clocks to the hour and half hour. Cooking, building, and pointing at the kitchen clock all reinforce these skills.
Students should name and describe common shapes by their sides and corners, and put shapes together to make new ones. They should also recognize shapes from different angles, so a triangle stays a triangle even when it is upside down.
Watch for confidence with adding and subtracting within 20, counting and writing numbers to 120, and solving short word problems without giving up. Comfort with a ruler and a clock face is a good sign too.