Adding and subtracting within 20
Students start the year getting fast with small sums and differences. By the end of this stretch, basic facts like 8 plus 7 or 13 minus 5 come from memory instead of finger counting.
This is the year math jumps from counting to thinking in tens and hundreds. Students learn that 243 means 2 hundreds, 4 tens, and 3 ones, and they use that idea to add and subtract bigger numbers. Students also start measuring with rulers and reading simple graphs. By spring, they can solve a word problem with two steps and tell time on a clock to the nearest five minutes.
Students start the year getting fast with small sums and differences. By the end of this stretch, basic facts like 8 plus 7 or 13 minus 5 come from memory instead of finger counting.
Students learn that a number like 247 means 2 hundreds, 4 tens, and 7 ones. They count by ones, fives, tens, and hundreds, and compare numbers up to 1,000.
Students put place value to work, adding and subtracting two- and three-digit numbers. Expect to see homework with problems like 358 plus 124, often solved with drawings or written steps before a standard method.
Students measure lengths with rulers in inches and centimeters, tell time to the nearest five minutes, and count mixed coins and dollar bills. Word problems start showing up in everyday situations.
Students close the year sorting shapes by their sides and corners, splitting shapes into equal parts, and reading simple bar graphs and picture graphs. They also work with equal rows and columns, which sets up multiplication next year.
Students read a math problem, figure out what it is asking, and keep trying even when the answer does not come right away. They check their work and ask whether their answer makes sense.
Students take a word problem and translate it into numbers, then check that their answer still makes sense in the original situation.
Students explain why their math answer makes sense, using numbers or shapes to back it up. They also listen to a classmate's reasoning and say whether they agree or disagree, and why.
Students use math to make sense of real situations: drawing a picture to split a snack fairly, writing a number sentence to figure out if they have enough money, or sketching a simple chart to show how many.
Students choose the right tool for the job, whether that means grabbing a ruler, sketching it out with pencil and paper, or using a calculator. The skill is knowing which tool helps and when.
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 learn to spot patterns and rules hiding in numbers and shapes, then use what they notice to solve problems faster. A student who sees that a clock face repeats or that an even number always ends the same way is using this skill.
Students notice when the same steps keep working the same way, then use that pattern as a shortcut. For example, adding 10 to any number always changes just the tens digit.
| 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 does not come right away. They check their work and ask whether their answer makes sense. | MD-MATH.MP.2.1 |
| Reason Abstractly | Students take a word problem and translate it into numbers, then check that their answer still makes sense in the original situation. | MD-MATH.MP.2.2 |
| Construct Arguments | Students explain why their math answer makes sense, using numbers or shapes to back it up. They also listen to a classmate's reasoning and say whether they agree or disagree, and why. | MD-MATH.MP.2.3 |
| Model with Mathematics | Students use math to make sense of real situations: drawing a picture to split a snack fairly, writing a number sentence to figure out if they have enough money, or sketching a simple chart to show how many. | MD-MATH.MP.2.4 |
| Use Tools Strategically | Students choose the right tool for the job, whether that means grabbing a ruler, sketching it out with pencil and paper, or using a calculator. The skill is knowing which tool helps and when. | MD-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. | MD-MATH.MP.2.6 |
| Use Structure | Students learn to spot patterns and rules hiding in numbers and shapes, then use what they notice to solve problems faster. A student who sees that a clock face repeats or that an even number always ends the same way is using this skill. | MD-MATH.MP.2.7 |
| Express Regularity | Students notice when the same steps keep working the same way, then use that pattern as a shortcut. For example, adding 10 to any number always changes just the tens digit. | MD-MATH.MP.2.8 |
Second graders count, compare, and work with whole numbers and simple fractions. They build the number sense that makes addition, subtraction, and everything else in math make sense.
Students add, subtract, multiply, and divide to solve word problems and write number sentences that show their thinking. The focus is on choosing the right operation for the situation, not just getting the answer.
Students read and use picture graphs, bar graphs, and simple tables to answer questions about data. They organize information and draw basic conclusions from what the numbers show.
Students sort flat and solid shapes by their sides, corners, and faces. They measure and describe what makes a square different from a rectangle, or a cube different from a cone.
Students use ratio reasoning to solve everyday math problems at the second-grade level, such as figuring out how many wheels are on a certain number of bikes or how many legs are on a group of animals.
| Standard | Definition | Code |
|---|---|---|
| Counting and Number | Second graders count, compare, and work with whole numbers and simple fractions. They build the number sense that makes addition, subtraction, and everything else in math make sense. | MD-MATH.K8.2.1 |
| Operations and Algebraic Thinking | Students add, subtract, multiply, and divide to solve word problems and write number sentences that show their thinking. The focus is on choosing the right operation for the situation, not just getting the answer. | MD-MATH.K8.2.2 |
| Measurement and Data | Students read and use picture graphs, bar graphs, and simple tables to answer questions about data. They organize information and draw basic conclusions from what the numbers show. | MD-MATH.K8.2.3 |
| Geometry | Students sort flat and solid shapes by their sides, corners, and faces. They measure and describe what makes a square different from a rectangle, or a cube different from a cone. | MD-MATH.K8.2.4 |
| Ratios and Proportional Relationships | Students use ratio reasoning to solve everyday math problems at the second-grade level, such as figuring out how many wheels are on a certain number of bikes or how many legs are on a group of animals. | MD-MATH.K8.2.5 |
Maryland's spring summative math test for grades 3 through 8, aligned to the Maryland College and Career-Ready Standards for Mathematics.
Students should add and subtract within 100 quickly, count and group objects up to 1,000, tell time on a clock, count coins, measure with a ruler, and solve simple word problems. They should also recognize and describe basic shapes.
Practice in short bursts during everyday moments. Count change at the store, read the clock before bedtime, measure ingredients while cooking, or ask quick addition questions in the car. Five to ten minutes a day matters more than a long weekend session.
Finger counting is fine at this age and often a step toward fluency. Over the year, push gently for quicker recall of small sums like 7 plus 8. Flashcards, dice games, and dominoes help facts become automatic without drilling.
Start by securing facts within 20, then move to two-digit addition and subtraction using place value and mental strategies before introducing the standard algorithm. Word problems should run alongside computation all year, not wait until the end.
Regrouping across a ten, telling time to five minutes, and reading word problems with two steps tend to need extra cycles. Plan short review blocks every few weeks rather than one long unit, and revisit money and measurement after winter break.
Ask students to draw the situation or act it out before reaching for numbers. Talking through what is happening in the problem, then writing the equation, builds the habit of making sense before solving. The same approach works at the kitchen table.
By June, students should add and subtract two-digit numbers fluently, explain their reasoning out loud, measure in inches and centimeters, and solve one- and two-step word problems. Sustained focus on a problem for several minutes is also a strong signal of readiness.
Yes, basic addition and subtraction facts within 20 should become automatic by the end of the year. Quick recall frees up thinking for harder problems later. Short, playful practice with cards or dice works better than long worksheets.