Key takeaways
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First-grade math builds on the concepts and skills taught in kindergarten
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While 1st-grade academic standards are generally similar, it’s important to learn your school’s specific expectations
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To keep students engaged and attentive, lessons should be purposeful and focused, but also brief, hands-on, and engaging
When children begin 1st grade, they’re usually filled with excitement, curiosity, and energy. They’ve “graduated” from kindergarten and are familiar with classroom routines and expectations, and are generally eager to learn. Luckily, teachers can keep the momentum going by creating a classroom environment where learning and fun are both on the table. In this guide, we review 1st-grade math standards, outline teaching tips and strategies, and share five fun math activities that students love. Let’s get started!
1st Grade Math Standards
First-grade academic standards provide an overview of the concepts and skills students are expected to learn by the end of the school year. While programs like Common Core attempted to create more consistency across the United States, academic standards still differ by state, district, or individual school. Even so, 1st-grade math standards across the country focus on four main topics, including operations and algebraic thinking, place value and number sense, measurement and data, and geometry.
Operations and Algebraic Thinking
Students learn to represent and solve addition and subtraction problems within 20, and use mental math to solve problems within 10. They solve addition word problems with three whole numbers using objects, drawings, or equations with a symbol to represent the unknown number. They also use strategies such as counting on, making 10, or decomposing numbers to solve addition and subtraction problems.
Place Value and Number Sense
First graders learn to count and write numbers up to 120, and to use numerals to represent a specific number of objects. They’ll explore place value and understand that a two-digit number represents a certain amount of tens and ones. They’ll also learn to compare numbers using greater than, less than, and equal to symbols. Students will use place value knowledge to mentally add or subtract by tens and explain their reasoning.
Measurement and Data
Students learn to measure the length of an object using multiple shorter objects and express the length in whole numbers. For example, students might use several paper clips to measure the length of an envelope. Students will also learn to order three objects by length. In 1st grade, students use analog and digital clocks to write and tell time to the hour and half-hour. They will learn to collect, organize, and represent data in up to three categories, and ask and answer questions about the total number of data points, the amount in each category, and how many more or fewer there are in one category than another.
Geometry
Students will identify two-dimensional shapes and three-dimensional shapes. They will learn how to count and compare the sides and corners of shapes. First graders will also build and draw shapes like rectangles, squares, triangles, and trapezoids. Students will understand how to divide circles and rectangles into two and four equal parts, and describe those parts using the words halves, fourths, and quarters.
10 Tips for Teaching 1st Grade Math
While academic standards outline what students should learn by the end of the year, the way those skills are taught should be flexible, interactive, and responsive to students’ needs. While there’s no definitive, straightforward “recipe” for teaching 1st-grade math, we’ve outlined several intentional tips and strategies to help students understand math concepts and master key 1st-grade skills.
1. Build Number Sense
The ability to understand numbers and their relationships is essential for math success. Help students build number sense by using manipulatives for concrete understanding, connecting math to the real world, playing games, and encouraging students to explain their thinking.
2. Concrete-Visual-Abstract
Explore math concepts through concrete objects like counters or coins, then move to visual aids like number lines and hundreds charts, and finally to numbers and symbols. Children develop abstract reasoning skills later, so concrete learning is essential for understanding.
3. Build Fluency Through Strategies
Teach students strategies such as making 10, counting on, fact families, and doubles to help them solve problems more efficiently. When students learn strategies instead of relying on memorization, they develop the skills to solve more complex problems later on.
4. Consistent, Low-Stakes Assessment
Formative assessments are effective ways to assess student progress throughout the lesson. Additionally, asking students to reflect on their learning will help strengthen their critical thinking skills. Examples for 1st graders include: “thumbs up, thumbs down, or thumbs sideways” to show their understanding, drawing pictures to explain strategies, or simply circulating the room and observing closely. Consistent, low-stakes assessment also allows teachers to make adjustments or correct misunderstandings immediately.
5. Use Math Vocabulary
Incorporate math language throughout the day, modeling important terms like “sum,” “difference,” “vertices,” and more to strengthen understanding and prepare for more complex math challenges. Using proper terminology from the beginning avoids confusion later on!
6. Play Games
Board games, dice games, and card games all provide students with meaningful practice in important skills and concepts. Using mathematical games is also a low-pressure way for students to interact with and learn from one another.
7. Use Real-World Contexts
Activities like nature walks, shape hunts, or measuring ingredients allow 1st graders to understand that numbers are everywhere. Exploring real-world scenarios makes math feel meaningful and relevant.
8. Keep Lessons Short and Active
Young learners benefit from lessons that are brief but meaningful. Interactive, focused activities that encourage movement or hands-on learning keep 1st graders engaged and motivated.
9. Differentiate
First graders arrive in the classroom with differing levels of ability and readiness. Create lesson plans that provide extra support, practice, or challenge to meet every student’s needs.
10. Celebrate Progress
Encourage a positive math mindset by celebrating progress, not perfection. Students thrive in a supportive environment where they feel safe taking educational risks, making mistakes, and practicing new skills.
Also, be sure to check out our guide to teaching elementary math for even more strategies to help your learners succeed in the classroom and beyond.
5 1st Grade Math Activities
No matter which specific standards your school follows, consistently practicing 1st-grade math concepts helps students develop skills and confidence. Dreambox Math is an online program designed to help students master standards-aligned math concepts. Through engaging, interactive math games and practice problems, Dreambox offers a personalized approach to practice.
1. Math Block Towers
When 1st graders are learning addition and subtraction, they need to see concrete examples of combining numbers to produce a new number. In this block tower activity, students choose two colors to show the sum of a two-digit equation. First, each student will need a worksheet or flashcards with addition problems (see the example below). Then, they’ll need 10 blocks in one color and 10 in another. Working individually or in pairs, students read the addition question and build a tower using the right number of blocks.
2. Bundle and Build
One of the first place value lessons 1st graders learn is the importance of the number 10 and how grouping items by tens helps us count. This hands-on activity uses popsicle sticks to help students visualize a group of 10 by bundling them together. Give each student 30 popsicle sticks (count these and bundle ahead of time). Working as a whole group, show the students how to bundle 10 sticks with a rubber band. Then, ask the students to count out more popsicle sticks–you can choose any number less than 10. For example, 1 bundle and 4 sticks represent the number 14. As students count and organize the sticks, they begin to build an understanding of tens and ones.
3. Marshmallow Shape Building
In 1st-grade geometry, students learn to identify 2D and 3D shapes correctly. This fun (and tasty!) activity helps develop spatial intelligence and makes the abstract concept of shapes easier to understand. First, give each student a handful of mini marshmallows and several toothpicks. As a whole group, discuss the attributes of shapes they’ve already learned, drawing each on a large white board. First graders will then form 2D shapes using marshmallows and toothpicks. When completed, have volunteers explain their process. Time permitting, work on creating 3D shapes, such as cones, cubes, or pyramids.
4. Online Math Activities
If your 1st graders are begging for screen time, turn it into a learning opportunity by utilizing online math programs, practice problems, or math apps. Be sure to check out DreamBox’s award-winning online math program. DreamBox’s personalized program is filled with practice opportunities and interactive activities that support your child’s unique math journey.
5. Measurement Activity
1st graders concentrate on different types of measurement, and this activity has always been a hit with my students and is perfect for the beginning of the school year. Each student writes their first name on a strip of paper. If needed, provide strips with boxes to guide letter placement. Working as a group, glue the strips of paper on a large poster board, ordering them from shortest name to longest name. For example, the chart might begin with “Amy” (3 letters) and end with Christopher (10 letters). Extend the activity by having the students compare the names using math vocabulary, such as “longer than,” “shorter than,” or “equal to.”
