Counting and recognizing numbers
Students learn to count objects out loud and match each number to one item. They start to read and write numbers and figure out how many are in a small group without counting one by one.
This is the year numbers start to mean something. Students learn to count past twenty, match a number to a group of objects, and figure out which pile has more. They start adding and taking away small amounts using fingers, blocks, and pictures. By spring, students can count to 100, name basic shapes like circles and squares, and solve simple problems like four crackers plus two more.
Students learn to count objects out loud and match each number to one item. They start to read and write numbers and figure out how many are in a small group without counting one by one.
Students name circles, squares, triangles, and other shapes they see around the house. They sort buttons, blocks, or toys into groups by color, size, or shape and explain why a group belongs together.
Students put small groups together to find a total and take some away to see what is left. They use fingers, drawings, and small objects to act out simple story problems with numbers up to ten.
Students compare two objects to see which is longer, shorter, heavier, or holds more. They line things up to measure and use words like more, less, and the same when talking about groups of objects.
Students count higher, often to 100 by ones and tens, and notice patterns in the way numbers repeat. They break apart bigger numbers into a ten and some extra ones, which sets up first grade math.
Students figure out what a math problem is asking before they start, and keep trying even when it gets hard. They check that their answer actually makes sense.
Students take a real situation, like sharing 4 apples, and turn it into numbers on paper. Then they work it back the other way, making sure the numbers still match what actually happened.
Students explain why their answer makes sense and listen to how a classmate solved the same problem. They practice saying "I think this because..." and pointing out when something doesn't add up.
Students use simple math to make sense of everyday situations. They might draw a picture, count objects, or use numbers to figure out how many snacks to share or how many seats are taken.
Students learn to pick the right tool for the job, whether that means counting on fingers, sketching on paper, or using a calculator. The goal is knowing when each tool helps.
Students use the right math words and check that their counting and measuring makes sense. In kindergarten, this means saying "more" and "fewer" correctly, counting objects carefully, and using words like "longer" or "heavier" accurately.
Students notice patterns and shapes in math, like recognizing that a number always breaks apart the same way or that a shape has sides that match. Spotting those patterns helps students solve problems faster.
Students notice when the same steps keep working the same way, like counting on by one each time. They use that pattern to solve new problems without starting from scratch.
| Standard | Definition | Code |
|---|---|---|
| Make Sense of Problems | Students figure out what a math problem is asking before they start, and keep trying even when it gets hard. They check that their answer actually makes sense. | ME-MATH.MP.K.1 |
| Reason Abstractly | Students take a real situation, like sharing 4 apples, and turn it into numbers on paper. Then they work it back the other way, making sure the numbers still match what actually happened. | ME-MATH.MP.K.2 |
| Construct Arguments | Students explain why their answer makes sense and listen to how a classmate solved the same problem. They practice saying "I think this because..." and pointing out when something doesn't add up. | ME-MATH.MP.K.3 |
| Model with Mathematics | Students use simple math to make sense of everyday situations. They might draw a picture, count objects, or use numbers to figure out how many snacks to share or how many seats are taken. | ME-MATH.MP.K.4 |
| Use Tools Strategically | Students learn to pick the right tool for the job, whether that means counting on fingers, sketching on paper, or using a calculator. The goal is knowing when each tool helps. | ME-MATH.MP.K.5 |
| Attend to Precision | Students use the right math words and check that their counting and measuring makes sense. In kindergarten, this means saying "more" and "fewer" correctly, counting objects carefully, and using words like "longer" or "heavier" accurately. | ME-MATH.MP.K.6 |
| Use Structure | Students notice patterns and shapes in math, like recognizing that a number always breaks apart the same way or that a shape has sides that match. Spotting those patterns helps students solve problems faster. | ME-MATH.MP.K.7 |
| Express Regularity | Students notice when the same steps keep working the same way, like counting on by one each time. They use that pattern to solve new problems without starting from scratch. | ME-MATH.MP.K.8 |
Students count objects, compare small groups, and work with numbers up to 20. They learn what numbers mean and how they relate to each other, building the number sense they'll use in every math class ahead.
Students add and subtract small numbers to solve simple word problems. They use objects, drawings, or fingers to figure out answers and show their thinking.
Students sort objects into groups and count them, then show the results in a simple chart or picture graph. They answer basic questions about what the data shows, like which group has more.
Students sort and describe everyday shapes like circles, squares, and cubes. They notice what makes shapes alike or different, such as how many sides or corners a shape has.
Students use simple comparisons to solve everyday problems, like figuring out if there are enough cups for every child at a table. This is an early look at how numbers relate to each other.
| Standard | Definition | Code |
|---|---|---|
| Counting and Number | Students count objects, compare small groups, and work with numbers up to 20. They learn what numbers mean and how they relate to each other, building the number sense they'll use in every math class ahead. | ME-MATH.K8.K.1 |
| Operations and Algebraic Thinking | Students add and subtract small numbers to solve simple word problems. They use objects, drawings, or fingers to figure out answers and show their thinking. | ME-MATH.K8.K.2 |
| Measurement and Data | Students sort objects into groups and count them, then show the results in a simple chart or picture graph. They answer basic questions about what the data shows, like which group has more. | ME-MATH.K8.K.3 |
| Geometry | Students sort and describe everyday shapes like circles, squares, and cubes. They notice what makes shapes alike or different, such as how many sides or corners a shape has. | ME-MATH.K8.K.4 |
| Ratios and Proportional Relationships | Students use simple comparisons to solve everyday problems, like figuring out if there are enough cups for every child at a table. This is an early look at how numbers relate to each other. | ME-MATH.K8.K.5 |
Through-year mathematics assessment for grades 3 through 8, aligned to the Maine Learning Results.
Students should count to 100, count groups of objects up to about 20, and write numbers from 0 to 20. They should also add and subtract small numbers, compare which group has more or less, and name basic shapes like circles, squares, and triangles.
Count real things together: stairs, grapes, buttons, steps to the car. Ask questions like how many are there, how many are left after eating one, and which pile has more. Five minutes a day adds up fast.
Yes. Saying the number words in order and counting actual objects are two different skills. Practice touching each object once as the number is said. Line up coins or cereal pieces and count them slowly together.
Most teachers start with counting and matching numbers to small groups, then build to teen numbers as ten plus some more. Addition and subtraction within 5, then within 10, usually come after students can count groups reliably. Shapes and measurement fit in throughout.
Teen numbers trip up many students because the words do not match the digits the way twenty-one or thirty-one do. Counting on from a number other than one is also hard. Plan extra time and small-group practice for both.
Not yet. The goal is for students to add and subtract small numbers using fingers, drawings, or counters, and to know pairs that make five and ten by sight. Quick recall of facts comes in later grades.
A student counts a pile of 20 objects accurately, writes the matching number, and solves a simple story problem like three apples plus two more. They can compare two groups and name common flat and solid shapes. Tools like fingers and counters are still fine.
Point out shapes in the kitchen, on signs, and in toys. Compare which spoon is longer, which cup holds more, and which book is heavier. Sorting laundry or silverware by size or type counts as math practice.