Counting and adding within 20
Students count, read, and write numbers to 20 and start adding and subtracting small amounts. They learn quick ways to find sums like 7 plus 8 instead of counting one by one.
This is the year math grows past counting into adding and subtracting within twenty. Students learn that the number 47 is really 4 tens and 7 ones, which makes bigger numbers feel less mysterious. They also start measuring with rulers, telling time on a clock, and naming shapes by their sides and corners. By spring, students can solve a word problem like "I had 8 apples and gave away 3" and explain how they got the answer.
Students count, read, and write numbers to 20 and start adding and subtracting small amounts. They learn quick ways to find sums like 7 plus 8 instead of counting one by one.
Students solve short story problems about putting things together, taking some away, or comparing two groups. They explain their thinking out loud and show it with drawings or simple equations.
Students count all the way to 120 and start to see that numbers like 47 mean four tens and seven ones. They compare two numbers and decide which is greater.
Students add within 100, including a two-digit number plus a one-digit number, and add or subtract groups of ten. They use what they know about tens and ones to work it out.
Students measure objects by lining up smaller units end to end and tell time on clocks to the hour and half hour. They sort shapes, build new shapes from smaller ones, and split shapes into halves and fourths.
Students figure out what a math problem is asking before they start solving it, and they keep trying even when the answer isn't obvious right away.
Students take a real math problem (how many apples, how much change) and translate it into numbers and symbols to solve it, then check that the answer still makes sense in the original situation.
Students explain how they solved a math problem and listen to how classmates solved it differently. They practice saying why an answer makes sense, not just what the answer is.
Students use drawings, objects, or simple number sentences to show real-life problems, like sharing snacks or counting coins. They check whether their model matches the situation and adjust it if something looks off.
Students choose the right tool for the math problem in front of them, whether that's a ruler, a number line, or their fingers. Knowing when to use each tool is part of the skill.
Students use exact words and correct units when explaining math. They say "centimeter" instead of "the little one" and double-check their work before calling an answer final.
Students notice patterns and rules in math, like how place value works or how a shape can be broken into smaller pieces. Spotting that structure helps students solve new problems without starting from scratch.
Students notice when a math shortcut works every time, not just once, and start using it on purpose. For example, adding zero to any number always leaves it unchanged.
| Standard | Definition | Code |
|---|---|---|
| Make Sense of Problems | Students figure out what a math problem is asking before they start solving it, and they keep trying even when the answer isn't obvious right away. | OH-MATH.MP.1.1 |
| Reason Quantitatively | Students take a real math problem (how many apples, how much change) and translate it into numbers and symbols to solve it, then check that the answer still makes sense in the original situation. | OH-MATH.MP.1.2 |
| Construct Arguments | Students explain how they solved a math problem and listen to how classmates solved it differently. They practice saying why an answer makes sense, not just what the answer is. | OH-MATH.MP.1.3 |
| Model with Mathematics | Students use drawings, objects, or simple number sentences to show real-life problems, like sharing snacks or counting coins. They check whether their model matches the situation and adjust it if something looks off. | OH-MATH.MP.1.4 |
| Use Tools Strategically | Students choose the right tool for the math problem in front of them, whether that's a ruler, a number line, or their fingers. Knowing when to use each tool is part of the skill. | OH-MATH.MP.1.5 |
| Attend to Precision | Students use exact words and correct units when explaining math. They say "centimeter" instead of "the little one" and double-check their work before calling an answer final. | OH-MATH.MP.1.6 |
| Use Structure | Students notice patterns and rules in math, like how place value works or how a shape can be broken into smaller pieces. Spotting that structure helps students solve new problems without starting from scratch. | OH-MATH.MP.1.7 |
| Express Regularity | Students notice when a math shortcut works every time, not just once, and start using it on purpose. For example, adding zero to any number always leaves it unchanged. | OH-MATH.MP.1.8 |
Students count, compare, and work with whole numbers up to 120, and begin exploring simple fractions. They use what they know about numbers to solve problems and make sense of quantities they encounter in everyday life.
Adding, subtracting, multiplying, and dividing show up in word problems and number sentences. Students figure out which operation fits the situation and use it to find the answer.
Students read and fill in simple tables and picture graphs to answer questions about data. They look at what the numbers show and explain what they found.
Students sort flat shapes (like squares and triangles) and solid shapes (like cubes and cylinders) by describing their sides, corners, and size. They use basic measurement and reasoning to explain how shapes are alike or different.
Ratio reasoning at this grade is a preview skill. Students compare quantities ("3 red tiles for every 2 blue ones") to solve simple real-world problems before formal ratios are introduced in later grades.
| Standard | Definition | Code |
|---|---|---|
| Counting and Number | Students count, compare, and work with whole numbers up to 120, and begin exploring simple fractions. They use what they know about numbers to solve problems and make sense of quantities they encounter in everyday life. | OH-MATH.K8.1.1 |
| Operations and Algebraic Thinking | Adding, subtracting, multiplying, and dividing show up in word problems and number sentences. Students figure out which operation fits the situation and use it to find the answer. | OH-MATH.K8.1.2 |
| Measurement and Data | Students read and fill in simple tables and picture graphs to answer questions about data. They look at what the numbers show and explain what they found. | OH-MATH.K8.1.3 |
| Geometry | Students sort flat shapes (like squares and triangles) and solid shapes (like cubes and cylinders) by describing their sides, corners, and size. They use basic measurement and reasoning to explain how shapes are alike or different. | OH-MATH.K8.1.4 |
| Ratios and Proportional Relationships | Ratio reasoning at this grade is a preview skill. Students compare quantities ("3 red tiles for every 2 blue ones") to solve simple real-world problems before formal ratios are introduced in later grades. | OH-MATH.K8.1.5 |
OST Mathematics is the spring summative math test for grades 3 through 8, aligned to Ohio's Learning Standards for Mathematics.
Students should add and subtract within 20, count and write numbers to 120, and tell time to the hour and half hour. They should also compare lengths, sort shapes, and solve simple word problems with pictures or objects.
Count coins, set the table with the right number of forks, or ask how many minutes until dinner. Quick story problems while cooking or driving go a long way. Aim for short and frequent, not long and serious.
No. Fingers, counters, and drawings are how students build number sense at this age. Over time, they will start to just know that 6 plus 4 makes 10. Pushing memorization too early often backfires.
Start with counting on and making 10 inside 20, then move to part-part-whole word problems, then to the harder problem types like comparing and missing addends. Save the trickier unknowns for the second half once students trust the operations.
Subtraction word problems, especially compare problems, and place value with teen numbers. Many students also confuse the longer and shorter hand on a clock. Build in short review blocks on these all year rather than one big unit.
Students should see 34 as 3 tens and 4 ones, not just two separate digits. Tens frames, bundles of straws, and base ten blocks help. At home, counting groups of ten pennies or stickers does the same work.
Strong signs are fluent adding and subtracting within 10, solving one-step word problems without panicking, and reading and writing numbers to 120. Comfort with shapes, simple measurement, and explaining a strategy out loud also matters.
Keep the tone light and treat mistakes as normal. Play games with dice, dominoes, or cards where math sneaks in. Avoid timed drills at home for now, since speed pressure is the fastest way to make a six year old give up.