Welcome to Grade 2 Mathematics!
Grade 2 is where things get really interesting!
This is the year your child's mathematical thinking takes off in new directions. They're not just counting anymore; they're skip counting and spotting patterns. They're not just adding; they're starting to see how multiplication works.
They're telling time, handling money, and solving problems that require real strategic thinking.
Setting Up Your Math-Rich Home
Second graders are ready for slightly more independence, so set them up for success:
Create Visual Anchors
- Display a hundreds chart at eye level; they'll reference it constantly 
- Post skip counting charts (2s, 5s, 10s) 
Keep Tools Accessible
- Keep manipulatives accessible (base-ten blocks, coins, pattern blocks, dice) 
- Create a "math tools" station with rulers, clocks, graph paper 
The Essentials
- Math picture books (start with 3-4, build your collection) 
- Base-ten blocks or makeshift alternatives (bundles of straws work!) 
- Coins for counting (real or play money) 
- Rulers and measuring tape 
- Pattern blocks or tangrams (printable if you don't want to buy) 
- Graph paper 
- Dice, playing cards, and basic board games 
- Paper, markers, scissors, glue 
- A hundreds chart (printable online) 
Make Math Visible
- Display a calendar and update it together daily. 
- Update your simple "math word wall" with vocabulary and pictures—add to it as you discover new concepts together. 
Nice to Haves
- Linking cubes or snap cubes 
- Teaching clock with moveable hands 
- Geoboard 
- More extensive pattern block set 
- Number cards or math flash cards 
- Timer for elapsed time activities 
Our Promise: We design every activity around what most families already have. When we suggest something specific, we'll always offer simple alternatives using household items. Math learning shouldn't require a shopping trip.
Ready to dive in?
Your Quick-Start Path
- Pick a concept that matches where your child is right now (or start with Concept 1!) 
- Grab a book from the library or our store that introduces the concept 
- Try an activity together using things you have at home 
- Apply it through a project when they're ready to go deeper 
Notice math everywhere and point it out as you go about your day
Concept List for Grade 2:
Most concepts need 2-4 weeks with your kiddo, but here’s a secret: Second graders LOVE math challenges.
They're ready for longer projects, deeper thinking, and making real connections between concepts. Lean into that enthusiasm!
Below you'll find every concept your second grader will explore.
Click to dive into activities, books that bring the concept to life, and projects that let them apply what they're learning.
NUMBER SENSE & COUNTING
- 
      
        
          
        
      
      What your child is learning: Skip counting is where multiplication begins! When your child skip counts by 2s, 5s, and 10s, they're not just counting—they're seeing patterns, understanding groups, and building the foundation for multiplication facts. This concept is also essential for telling time, counting money, and understanding our base-ten number system. Skills they're building: - Skip counting by 2s, 5s, and 10s to 100 (and beyond!) 
- Recognizing and extending number patterns 
- Understanding that skip counting is adding the same number repeatedly 
- Connecting skip counting to multiplication (3 jumps of 5 = 3 groups of 5) 
- Using skip counting to count collections efficiently 
- Seeing patterns on a hundreds chartPicture books | Tools | Activities | Big Projects that make it click 
 
- 
      
        
      
      What your child is learning: This is the year place value really clicks! Second graders move beyond "tens and ones" to understanding hundreds, and they see why our number system is so elegant and efficient. They learn that 247 isn't just a number—it's 2 hundreds, 4 tens, and 7 ones. Once this makes sense, adding and subtracting larger numbers becomes logical instead of mysterious. Skills they're building: - Understanding place value to 1,000 (hundreds, tens, ones) 
- Reading and writing three-digit numbers 
- Comparing three-digit numbers using >, <, = 
- Understanding that the position of a digit determines its value 
- Representing numbers in multiple ways (247 = 24 tens and 7 ones, or 2 hundreds and 47 ones) 
- Skip counting by 100s 
- Adding and subtracting 10 or 100 mentally 
 Picture books | Tools | Activities | Big Projects that make it click 
OPERATIONS
- 
      
        
          
        
      
      What your child is learning: Now that place value makes sense, adding and subtracting bigger numbers becomes logical! Second graders learn multiple strategies—not just one algorithm—for solving problems. They might add by place value (tens first, then ones), count on, make tens, or use other approaches. The goal is flexible thinking and understanding, not just getting answers. Skills they're building: - Adding two-digit numbers with and without regrouping 
- Subtracting two-digit numbers with and without regrouping 
- Using multiple strategies (mental math, number lines, base-ten blocks, equations) 
- Understanding regrouping/carrying (trading 10 ones for 1 ten) 
- Checking subtraction with addition 
- Solving word problems requiring two-digit operations 
- Explaining their solution strategy 
 Picture books | Tools | Activities | Big Projects that make it click 
- 
      
        
      
      What your child is learning: Multiplication doesn't start with memorizing times tables—it starts with understanding what multiplication means! Second graders explore equal groups (3 bags with 4 cookies each = 12 cookies) and arrays (rows and columns making rectangles). These visual models make multiplication make sense, setting up success for memorizing facts in Grade 3. Skills they're building: - Understanding multiplication as equal groups ("groups of") 
- Recognizing and creating arrays (rows × columns) 
- Connecting skip counting to multiplication (counting by 3s is like multiplying by 3) 
- Using repeated addition to solve multiplication problems 
- Writing multiplication equations (3 × 4 = 12) 
- Solving simple word problems involving equal groups 
- Seeing multiplication in the real world (egg cartons, muffin tins, packages) 
 Picture books | Tools | Activities | Big Projects that make it click 
- 
      
        
      
      What your child is learning: Division is the flip side of multiplication, and second graders explore it through sharing and grouping. If 12 cookies need to be shared among 3 friends, how many does each get? If you have 12 cookies and put 3 in each bag, how many bags? Two types of division, both important! Understanding comes before memorizing division facts. Skills they're building: - Understanding division as fair sharing (12 ÷ 3 = 4 means 12 split into 3 equal groups) 
- Understanding division as repeated subtraction or grouping 
- Connecting division to multiplication (if 3 × 4 = 12, then 12 ÷ 3 = 4) 
- Using manipulatives to model division problems 
- Solving simple word problems involving division 
- Understanding that you can't always divide evenly (introduction to remainders) 
 Picture books | Tools | Activities | Big Projects that make it click 
Not Sure Where to Start?
If your child just finished Grade 1: Start with Concept 1 (Skip Counting). Read One Hundred Hungry Ants and explore skip counting on a hundreds chart.
If your child struggles with place value: Jump to Concept 2 (Place Value to 1,000). Read Sir Cumference and All the King's Tens and build numbers with base-ten blocks.
If your child is multiplication-curious: Try Concept 4 (Introduction to Multiplication). Grab One Hundred Hungry Ants and explore arrays in real life.
If your child loves hands-on projects: Start with Concept 7 (Tangrams) or any of the big STEM challenges. Jump right into the doing!
Still not sure? Email us at hello@teach-early.com ! We love helping families figure out the perfect starting point.
GEOMETRY
- 
      
        
          
        
      
      What your child is learning: Second graders move beyond flat shapes to explore solid shapes—the ones you can actually hold! They learn the names and attributes of 3D shapes, understanding edges, faces, and vertices. They discover how 2D shapes relate to 3D shapes (a cube has square faces!) and start seeing these shapes everywhere in their environment. Skills they're building: - Identifying and naming 3D shapes (cube, rectangular prism, sphere, cone, cylinder, pyramid) 
- Describing attributes (faces, edges, vertices) 
- Recognizing 3D shapes in the environment 
- Understanding the relationship between 2D and 3D shapes (faces of 3D shapes are 2D shapes) 
- Comparing and classifying 3D shapes 
- Building with 3D shapes 
 Picture books | Tools | Activities | Big Projects that make it click 
- 
      
        
      
      What your child is learning: Building on first grade's shape work, second graders tackle more complex compositions. Tangrams, the ancient Chinese puzzle, become a favorite tool for exploring how shapes can be combined, transformed, and rearranged. This builds spatial reasoning, problem-solving, and early understanding of area concepts (same pieces, different arrangements). Skills they're building: - Creating complex pictures using pattern blocks and tangrams 
- Understanding that shapes can be decomposed and recomposed 
- Recognizing that different arrangements can create the same total area 
- Solving tangram puzzles 
- Understanding rotation and flipping of shapes 
- Seeing part-whole relationships 
 What your child is learning: Building on first grade's shape work, second graders tackle more complex compositions. Tangrams—the ancient Chinese puzzle—become a favorite tool for exploring how shapes can be combined, transformed, and rearranged. This builds spatial reasoning, problem-solving, and early understanding of area concepts (same pieces, different arrangements). Skills they're building: - Creating complex pictures using pattern blocks and tangrams 
- Understanding that shapes can be decomposed and recomposed 
- Recognizing that different arrangements can create the same total area 
- Solving tangram puzzles 
- Understanding rotation and flipping of shapes 
- Seeing part-whole relationships 
 Picture books | Tools | Activities | Big Projects that make it click 
MEASUREMENT & DATA
- 
      
        
          
        
      
      What your child is learning: Second graders become precise timekeepers! They move from telling time to the hour and half-hour to reading clocks to 5-minute intervals. They also start understanding elapsed time (how much time has passed?) and can solve simple time word problems. This skill builds independence and mathematical reasoning. Skills they're building: - Telling time to 5-minute intervals (3:15, 7:45, 11:25) 
- Understanding the relationship between hours and minutes (60 minutes = 1 hour) 
- Using "quarter past" and "quarter to" language 
- Solving elapsed time problems (simple start time + duration) 
- Reading both analog and digital clocks 
- Connecting time to daily activities and schedules 
 Picture books | Tools | Activities | Big Projects that make it click 
- 
      
        
      
      What your child is learning: Money math is second grader heaven—it's SO practical! They learn to count mixed coins, determine if they have enough money to buy something, and figure out change. This integrates skip counting, addition, subtraction, and comparing numbers, all in a context they care about deeply. Skills they're building: - Identifying coins and their values (penny, nickel, dime, quarter) 
- Counting mixed collections of coins 
- Using $ and ¢ symbols correctly 
- Determining combinations of coins to make specific amounts 
- Adding and subtracting money amounts 
- Solving word problems involving money 
- Understanding "making change" 
 Picture books | Tools | Activities | Big Projects that make it click 
- 
      
        
      
      What your child is learning: Second graders bridge from measuring with paper clips and blocks to using actual rulers and measuring tapes. They explore inches, feet, centimeters, and meters, understanding why standard units matter (remember "How Big Is a Foot"?). They also estimate before measuring—building number sense and spatial reasoning. Skills they're building: - Measuring length using standard units (inches, feet, centimeters, meters) 
- Using rulers and measuring tapes correctly 
- Estimating measurements before measuring 
- Comparing measurements using appropriate units 
- Understanding when to use different units (inches vs. feet) 
- Solving measurement word problems 
- Beginning to understand the relationship between units 
 Picture books | Tools | Activities | Big Projects that make it click 
- 
      
        
      
      What your child is learning: Second graders level up their data skills! They create and interpret picture graphs where each picture represents more than 1 (each apple = 2 votes), and bar graphs with scales. They ask more sophisticated questions, collect data systematically, and draw more complex conclusions. This builds logical reasoning and analytical thinking. Skills they're building: - Creating picture graphs with scales (each symbol = 2, 5, or 10) 
- Creating and interpreting bar graphs 
- Reading scaled graphs accurately 
- Asking questions that can be answered with data 
- Collecting and organizing data systematically 
- Drawing conclusions and making comparisons from graphs 
- Understanding that how you display data affects interpretation 
 Picture books | Tools | Activities | Big Projects that make it click 
A Note from the Teach Early Team:
Second grade is where mathematical thinking really takes flight. Your child isn't just counting and adding anymore. They're seeing patterns, making connections, and developing strategies. They're discovering that math isn't about memorizing rules; it's about understanding how numbers and shapes work.
This is the year multiplication and division stop being mysterious and start making sense. The year place value clicks and suddenly big numbers are manageable. The year your child starts saying, "Oh! I see the pattern!" without prompting.
We designed this curriculum for these breakthrough moments. Every activity, every book, every challenge is crafted to build genuine understanding—the kind that sticks because it makes sense, not because it's memorized.
Your second grader is developing a mathematical identity this year. They're deciding if they're "good at math" or not. Our job—yours and ours together—is to show them that they ARE mathematicians. They can figure things out. They can solve problems. They can understand.
That confidence? It's built through discovery, through success, through being allowed to struggle productively and then break through to understanding. Through seeing that math isn't one right way to get one right answer. That it's a flexible, creative, powerful way of thinking.
Thank you for choosing Teach Early Math for your second grade journey. We're honored to walk alongside you as your child discovers the mathematician they already are.
With excitement for all the "aha!" moments ahead,
The Teach Early Team
Beyond Grade 2
Where This Journey Leads
Moving to Grade 3: Everything your second grader learns becomes the foundation for Grade 3. Those multiplication and division concepts? They'll master facts and solve multi-step problems. Place value? They'll work with numbers in the thousands and beyond. Arrays? They'll explore area and perimeter. It all builds!
The Teach Early Spiral: Your child won't "finish" multiplication in Grade 2 or place value or any concept. They'll encounter these ideas again in Grade 3, then Grade 4, each time with greater depth and complexity. This spiraling approach builds genuine mastery.
Connect the Learning
Grade 2 Science: Math and science are natural partners. Measurement appears in science experiments. Data collection happens in observations. Counting, comparing, and graphing show up in virtually every science investigation.
[Explore Grade 2 Science Curriculum →Coming Soon]
Grade 2 ELA: Math picture books build literacy skills—vocabulary, comprehension, sequencing. Word problems develop reading comprehension. Explaining mathematical thinking builds communication skills.
[Explore Grade 2 ELA Curriculum →Coming Soon]
