- 1. Understanding Place Value in Large Numbers
- 2. Addition and Subtraction with Multi-Digit Numbers
- 3. Multiplying Large Numbers
- 4. Division with Remainders
- 3. Factors and Multiples, Prime and Composite Numbers
- 6. Number and Shape Patterns
- 7. Working with Fractions
- 8. Understanding Decimals
- 9. Conversion of Measurement Units
- 10. Area and Perimeter
Curious about how to teach 4th-grade math? As students transition to the upper elementary years, your classroom dynamics will evolve—so might your teaching strategies. If you’ve some experience teaching 3rd-grade math, you’ll notice some shifts in how kids approach learning. Get ready for an energy overload and a flood of “why” questions coming your way during math blocks!
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Parents, try for free Teachers, use for freeBut let’s face it, managing a roomful of eager minds while diving into deeper math concepts can be a challenge. Before we get into all the math stuff for 4th graders, remember: teaching 4th-grade math involves juggling more challenging concepts and guiding kids’ endless energy into focused learning. This guide is here to help you navigate this exciting and pivotal phase with confidence! Let’s work together to make math a favorite subject for your fourth graders!
How to Teach 4th-Grade Math
Multiplication, division, fractions, and geometry—it’s a BIG year! In Grade 4, to build a better math class routine, shift to planning “math tasks” to boost self-directed learning. Instead of traditional question-answer sessions, let students take ownership of their learning through focused tasks.
This guide will help you crack the code of how to teach 4th-grade math! We will break down 4th-grade math topics, understand challenges, explore strategies, and dive into a treasure trove of free resources for teachers—online teaching tools, ready-to-teach 4th-grade math lesson plans, interactive 4th-grade math games, printable math worksheets for 4th graders, and more.
1. Understanding Place Value in Large Numbers
Place Value in Grade 4 | |
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Use place value understanding to perform arithmetic operations on multi-digit whole numbers (within 100,000) | ● Understand that, in a multi-digit number, each digit is ten times greater than the digit to its right. ● Read and write multi-digit whole numbers using base-ten numerals, number names, and the expanded form.Compare two multi-digit numbers.Round multi-digit whole numbers to any given place. |
The 4th-grade math curriculum focuses on helping students become comfortable with big numbers, understanding place values, comparing numbers, and rounding. In some states, students work with multi-digit numbers up to 1,000,000. Instead of getting caught up in the specific number-range, it’s essential to build a strong conceptual foundation that enables students to easily navigate larger place values.
- Encourage students to approach big numbers with confidence—don’t let the number of digits overwhelm them! Kids are naturally fascinated by large numbers and love to talk about them. Leverage this interest by incorporating familiar examples into your lessons. Include a good mix of different math concepts.
- How many hours are in a week? How many hours are in a year? How many seconds are there in a day?
- How many $100 bills will make one million dollars?
- If you saved a penny a day, how much money would you have in a year?
- If you save a dime every day, how long will it take to save $10,000?
- Use place value charts—to visualize the base-ten system, show how digits change value based on their position, teach the “times ten” shift pattern in our number system, and teach different number forms, providing multiple opportunities to read and write multi-digit numbers.
Use this free Place Value Chart Teaching Tool to simplify your classroom instruction.
– Keep changing numbers and discuss as many examples as you want!
– Explain the role of commas in large numbers using periods.
– Read big numbers out loud without saying “and” to connect number names.
Go creative!
Allow kids to deal with large numbers on their own. Gamify it to boost their confidence!
2. Addition and Subtraction with Multi-Digit Numbers
Addition and Subtraction in Grade 4 | |
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Use place value skills to add and subtract multi-digit numbers. | Use the standard algorithm to add and subtract multi-digit whole numbers fluently. |
State standards vary, so some classrooms might introduce the standard algorithm earlier than others. While this is perfectly fine, it’s important to keep the big picture in mind: fostering a deep understanding. Start by building on what students already know about place value and breaking apart numbers. Then, connect these concepts to the algorithm to prevent confusion.
Let’s troubleshoot some common math errors! Here are some typical mistakes kids make when practicing the standard algorithm and how to help them overcome them:
Common misconceptions | Here’s a quick teaching tip! |
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Students may misalign the digits when adding or subtracting, especially when working with numbers that have different numbers of digits (e.g., adding 123 and 45). | Emphasize the importance of aligning digits by place value (ones under ones, tens under tens, etc.). Use graph paper or place value charts to help them practice this skill until it becomes second nature. |
Errors in regrouping; Students may follow the steps of the algorithm mechanically without understanding why they are doing each step | Use clear and consistent language when explaining regrouping Regrouping is trading 10 smaller units for 1 bigger unit (or vice versa). Spend time discussing the “why” behind each step in the algorithm. Use visual models like base-ten blocks, number lines, or area models to show how the algorithm works and why it’s effective.- ● regrouping 10 individual ones as 1 ten. ● regrouping 10 individual hundreds as 1 thousand. ● regrouping 10 individual thousands as 1 ten thousand. Provide ample practice opportunities with both addition and subtraction problems. Use i) Large Numbers Addition Worksheets for 4th Graders ii) Large Numbers Subtraction Worksheets for 4th Graders for daily practice. |
Identify kids’ proficiency levels in addition and subtraction and plan your math blocks accordingly. Keep it exciting! Kids often find BIG problems intimidating, and endless drills can become boring. Instead, turn practice into gameplay. Give these games a try now and watch your students tackle those big numbers with confidence and enthusiasm!
3. Multiplying Large Numbers
Multi-Digit Multiplication in Grade 4 | |
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Use place value knowledge to multiply multi-digit numbers. | ● One-digit by two-digit multiplication ● One-digit by three-digit multiplication ● One-digit by four-digit multiplication ● Two-digit by two-digit multiplication (Strategies: place value, area models, partial products, arrays, models, standard algorithm, and the properties of operations.) |
If you are wondering where to start, this sequence may help:
- Use area models (visual explanations)
- Teach place value breakdowns like 15 x 7 = (10 + 5) x 7 = (10 x 7) + (5 x 7)
- Dive into multiplication strategies—partial products, long multiplication (the standard algorithm), etc.
- Show ways to simplify a multiplication problem (like the double and half trick). One effective approach is to solve ONE multiplication problem using different strategies.
Explore these pre-packaged lesson plans to plan impactful multiplication lessons.
Learning multiplication can be fun at home, too! Reinforce classroom learning using interactive games!
Create a worksheet toolbox or worksheet bundles organized by specific skills and filled with focused exercises. Use these as checkpoints to see who needs extra support and celebrate those who’ve mastered the concept. Even the smallest win matters. Try these worksheets:
4. Division with Remainders
Division in Grade 4 | |
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Use place value knowledge to divide multi-digit numbers. | ● Divide four-digit numbers by one-digit numbers ● Divide three-digit numbers by one-digit numbers ● Divide two-digit numbers by one-digit numbers (Strategies to find quotients: place value, area models, partial products, arrays, standard algorithm, the relationship between multiplication and division (related facts), and the properties of operations.) |
- Leverage students’ understanding of multiplication to teach division concepts effectively. Present division as the inverse of multiplication to help them grasp the relationship between these operations. Keep times tables displayed in the classroom at all times when you teach multiplication and division!
- To teach division effectively, use methods like arrays, area models, repeated subtraction, partial quotients, and properties of operations. Relate division to real-life scenarios, such as splitting a restaurant bill evenly or finding an unknown side length of a rectangle when the area is given. These approaches help students grasp the concept through familiar and practical examples.
- Additionally, when dealing with remainders, teach kids about leftovers! Show them how remainders work in real life, like sharing toys or snacks.
NOTE: State standards vary. Many schools introduce long division early, even though it’s not part of the CCSS fourth-grade math concepts. It is included later in the official middle school curriculum.
With our division lesson plans for 4th graders, teachers get a reliable resource for their instructional needs. Find ready-to-teach lesson plans that cover everything from introduction to remainders and fun activities to exit tickets.
Digital math practice offers students a fresh way to apply their division skills. Online games motivate students to explore challenging concepts with confidence. Let kids experience productive math struggles! It’s ok for students to grapple with challenging division problems. Check out these engaging games to enhance their learning experience:
3. Factors and Multiples, Prime and Composite Numbers
Factors and Multiples in Grade 4 | |
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Learn factors and multiples (within 100) | ● Find all factor pairs for a whole number. ● Understand that a whole number is a multiple of its individual factors. ● Check whether a whole number is a multiple of a given one-digit number. ● Check whether a given whole number is a prime or composite number. |
All of the above are CRUCIAL skills for middle school math! Let’s brainstorm some ideas to make this more fun!
- Set up a “Factor Pair Find” station where students use arrays of concrete objects (like blocks or counters) to visually represent and explore factor pairs up to 50. For example, 2 groups of 3 counters = 6 counters explains that 2 and 3 are factors of 6.
- Help kids use skip counting to list the multiples of numbers on charts or number lines. Initially, you can use small task cards for this. Use printables and achieve this with minimal planning. You can begin here: 4th-grade factors and multiples worksheets!
- For home practice, consider using these engaging games as reinforcement tools:
- Plan a “Prime Hunt” with this hundreds chart tool. Ask students to come one by one and cross off multiples of 2, 3, 5, and 7—except for the numbers themselves. Finally, write down all the uncrossed numbers as primes.
6. Number and Shape Patterns
Number Patterns in Grade 4 | |
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Create and analyze patterns. | ● Generate a number or shape pattern using a given rule. ● Identify additional hidden patterns apart from the original rule. ● Explain the pattern. Describe why the observed pattern continues. |
Here are different patterns you can include in your instruction, assessment, or homework assignments:
- Add 2 or add 3 starting from 1
- Double the previous number, double + 1
- Multiples of a number
- Odd/even numbers
- Increasing/decreasing values
- Alternate between two shapes
- Repeating groups of shapes
- Growing patterns with a repeating or changing rule
Here are some tips to consider:
1. Begin lessons with visual aids and concrete examples of patterns (like dot designs or shape sequences). Learning patterns should be an intuitive process. Patterns are not to be taught like some math procedure!
2. Encourage exploration! In your math stations, let students freely discover patterns in various arrangements. Show patterns in nature, art, and everyday life.
3. Engage students in guided practice sessions where they analyze patterns and reason about them.
Our collection of number patterns resources for 4th graders covers everything you need to introduce patterns to 4th graders. Create task cards, make solve-it-strips, or incorporate them into spiral reviews.
Sharing some fantastic number pattern worksheets you can explore for your class. They are fun, challenging, and made with joy! Kids absolutely enjoy these printables:
Common misconception | Here’s a quick teaching tip! |
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Thinking that 1 is a prime number and all primes are odd. | Visual reminders can help clear up confusion. Use your math bulletin board to bust common myths! Create a special section to highlight that (i) 1 is neither prime nor composite (ii)2 is the only even prime number. Write the multiplication fact, including the number and 1. For example, 7 × 1 = 7. Ask kids to identify the factor pairs and the multiple. |
Thinking that a larger number has more number of factors. | Use counter examples using small task cards! Factors of 17 = 1, 17 Factors of 8 = 1, 2, 4, 8 |
BONUS TIP: Do you wish to create hands-on number patterns with your child or students? Try this hundreds chart tool! Hide or block numbers with black color and challenge kids to identify the rule! Perfect for making your lessons more interactive!
7. Working with Fractions
Fractions in Grade 4 | |
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Understand equivalent fractions. | ● Understand that a fraction pq is equivalent to a fraction p × n/q × n using visual fraction models. ● Identify and create equivalent fractions. |
Compare fractions. | ● Compare two fractions with different numerators and different denominators, using (i) common denominators or numerators (ii) benchmark fractions 0, 1, and ½ (iii) area or length models. ● Understand that fraction comparisons are valid only when fractions refer to the same whole. |
Operations on fractions | ● Create fractions using unit fractions. ● Decompose a fraction as the sum of like fractions in different ways. ● Add and subtract mixed numbers with like denominators. ● Multiply a fraction by a whole number. |
NOTE:
i) In this grade, kids work with denominator values 2, 3, 4, 5, 6, 8, 10, 12, and 100.
ii) Area models include circles and rectangles. Length models focus on number lines.
Does this happen with you when teaching fractions?—You are eager to do a lot but feel rushed, or sometimes, a bit disheartened when that one great fraction activity just doesn’t fit into the plan.
We’ve been there! When time is tight, take the less-prep & more-teaching approach. Use lessons that allow you to focus purely on your instruction without the hassle of extensive planning. Check out these free lesson plans for creative ideas and streamline your teaching preparation with ease!
NOTE: Introducing a free equivalent fractions teaching tool! Use it for visualizing equivalent fractions using models. This tool will help you save the valuable time spent drawing and shading perfect fraction models. Choose circles, grids, strips, and any fraction model you wish!
Here are some more tips to consider:
1. Equivalent fractions: Before kids create and write equivalent fractions ON PAPER, let them create and see equivalent fractions WITH PAPER!
Activity: Cut equal-sized paper strips and mark them for 1 whole, halves, thirds, and more. Let kids fold and see how one ½ and three ⅙ match! Also, Let kids see equivalent fractions both ways (using written form, models, and number lines).
Incorporate fun equivalent fraction games as challenges when learning is fresh!
2. Comparing fractions: i) Do not change teaching methods for fraction comparison too quickly. Start with benchmark fractions, and discuss why we call them so! Help kids remember 0, ½, ¼, and 1 as their fraction buddies that assist us in gauging where other fractions fit on a number line. Virtual tools like the number line teaching tool are game changers! ii) Move to teaching the common denominator strategy. It’s not expected to choose the LCD (least common denominator). Also, to avoid confusion, introduce the common numerator strategy as a fun trick, not another method!
Note: Meet the needs of all learners! Some kids love the working-with-numbers part, while others need visual aids. Use both methods to explain fractions. This helps everyone understand and feel successful.
During the weeks you teach how to compare fractions, consider including these interactive games to challenge kids and keep them on their toes:
3. Fraction operations: i) Leverage area and length models (number lines). For instance, use an area model to show how to decompose 2/5 into two groups of 1/5 each. Extend this knowledge to help kids multiply a whole number by a fraction and see it as identifying fractions of a set.
For this skill, plan fun warm-up activities like picking ¼ of 20 balls, coloring half of 8 triangles, and more! Let kids see that multiplying a whole number with a fraction less than 1 results in a smaller number.
NOTE: Encourage students to discover equivalent fractions while adding and subtracting fractions with unlike denominators.
ii) Give students dedicated time to master adding and subtracting mixed numbers with like denominators. This separate focus helps prevent confusion and supports differentiated learning. Make your assignments more playful using fun games!
8. Understanding Decimals
Decimals in Grade 4 | |
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Understand decimal notation to represent fractions. | ● Understand the equivalence between fractions with denominators of 10 and 100. ● Add two fractions with denominators of 10 or 100. ● Represent tenths and hundredths using visual models. |
Compare decimal fractions | ● Compare two decimals to hundredths by reasoning about their size using area and length models. |
One crucial element of the fourth grade math curriculum is teaching students how to compare decimal numbers and convert between decimals and fractions. Help kids see that decimals are like fractions with a superpower—they let us be super precise.
It’s time to show kids how place values less than “ones” look like. Invest time here wisely so that 5th-grade fractions become a breeze. Not sure where to start? Here’s are free decimal lessons, expertly designed to streamline your decimal lesson prep tasks in Grade 4:
Here are some tips to keep in mind as you progress through teaching decimals:
1. Begin with decimal fractions (fractions with denominators 10 and 100). In math centers, utilize manipulatives like base-ten blocks and graph paper to visualize and convert decimal fractions.
2. For a visual representation of decimals: i) Use this fraction models teaching tool. Select the features of tenths and hundredths, shade blocks, edit numerator values, and save lots of time in your introductory lessons.
ii) Use the decimals on a number line teaching tool effectively discuss as many examples of tenths as you want.
iii) Use the place value chart model. Extend the place value chart for decimals to showcase the fractional part.
For fun learning and extra practice, consider using these games:
3. Emphasize the importance of place value when reading and writing decimals. Place a visual reminder in the classroom that shows the right and wrong way. For instance, read 0.25 as “twenty-five hundredths” instead of “point twenty-five.”
4. Note that decimal comparison in this grade is focused on creating models to visualize and compare decimals, including number lines, grids, decimal circles, and more. Here are some games you can use for independent practice:
9. Conversion of Measurement Units
Measurement in Grade 4 | |
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Unit conversions in metric and customary systems. | ● Know the relative sizes of measurement units. ● Write measurements in a larger unit in terms of a smaller unit within a single measurement system. ● Create unit conversion tables. |
Let’s go one by one, shall we?
- Metric units: Introduce students to metric units by relating them to everyday objects.
How long is a meter? About the length of a guitar!
How long is a liter? About the capacity of a big soda bottle!
How long is a gram? About the weight of a paperclip!
This visual association helps students grasp the size and weight of metric units more intuitively.
- Estimation: Encourage students to estimate before measuring. Ask, “Do you think this rope is more or less than a meter long?” Then, measure to check estimates.
- Unit conversions: You should begin with a fun activity! In a math center, use water bottles to demonstrate liters and milliliters, showing how many small cups fill a large container to make the concepts of larger and smaller units tangible. Do the same for length and mass!
For conversion calculations, show place value charts adapted for metric units as fun TRICKS. Display them and help kids create two-column tables for converting kilometers to meters, meters to centimeters, or liters to milliliters. These games perfectly align with this learning objective:
Need extra measurement practice? Check out these printable worksheets for hands-on unit conversion fun! They are perfect for creating task cards, single-question strips, or home assignments:
10. Area and Perimeter
Area and Perimeter in Grade 4 | |
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Solve real-world area and perimeter problems. | Use the area and perimeter formulas of rectangles to solve real-world math problems. |
Help kids recall and extend their area and perimeter knowledge to solve real-world problems. These concepts are often rushed through the end of the year or only taught using formulas. Here are ideas and tips to consider:
- Have students bring their yoga mats and calculate the area and perimeter using various strategies. Help them present calculations and strategies used.
- Explain why the area is measured in square units and why the perimeter is measured in linear units. Use this amazing area and perimeter teaching tool. Draw rectilinear shapes, count unit squares, and discuss how the area is additive with hands-on examples.
- Guide students to explore the relationship between perimeter and area in rectangles.
i) For a fixed area, help them determine all possible dimensions of a rectangle (e.g., A = 20 = 2 × 10 = 4 × 5 = 20 × 1).
ii) For a fixed perimeter, help them figure out possible areas. Here’s an example:
Perimeter | Dimensions | Area |
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12 units | 3 × 3 | 9 square units |
12 units | 1 × 5 | 5 square units |
12 units | 2 × 4 | 8 square units |
These two activities will help you explain area and perimeter as independent measurements. Two rectangles with the same perimeter can have different areas, and two rectangles with the same area can have different perimeters. For your math centers or some digital learning time, consider using these games:
11. Angles
Angle Measurement in Grade 4 | |
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Understand the concept of angle. | ● Identify angles as geometric shapes formed by two rays (arms) sharing a common endpoint (vertex). |
Measure angles. | ● Understand angles as part (fraction) of a circle. ● Use protractors to measure and draw angles accurately. ● Break down angles into smaller angles and write the whole angle as the sum of its parts. ● Use diagrams with unknown angles to encourage problem-solving. |
Types of angles | ● Draw and identify right, obtuse, and acute angles. ● Identify right triangles in two-dimensional shapes. |
Teaching about angles is a crucial area of instruction in Grade 4. So, spend a good time exploring lesson supplies and materials. Here are some things to consider as you teach angles to 4th graders:
- Before introducing formal measurement, help students develop a sense of angle size by comparing angles to benchmarks like 30°, 90°, 180°, and 45°. Encourage students to estimate angle measures before using a protractor. Provide hands-on game-based activities for students to explore benchmark angles.
- Explain how angles are linked to fractions or how angles are parts of a circle (like slices of a pie)—adding angles is like adding fractions with a denominator 360! Reinforce the concept of an angle as a rotation around a point.
- Use terms like acute, right, and obtuse during instruction to build geometric vocabulary. Consider using these interactive games in your weekly math centers as you introduce types of angles to your students: