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Transforming Mathematics: Understanding Multiplication Through 15 Area Models

August 3, 2023 //  by Lauren Du Plessis

Unlock the mysteries of multiplication through the engaging and dynamic approach of area models! Deconstructing complex numbers into simple, understandable segments helps students visualize the multiplication process. From the simplicity of single-digit multiplication to the grandeur of multiplying large numbers, area models break down barriers and make learning fun. Empower your students to conquer the challenges of multiplication with this practical, hands-on tool – and watch their understanding and confidence soar!

1. Single-Digit Area Model

Dive into the world of area models by visualizing single-digit multiplication, like 3 x 4 as a rectangle. Watch as your students’ faces light up when they see the product come to life as the area of this shape!

Learn More: Maine.gov

2. Double-Digit by Single-Digit Area Model

Unleash the power of decomposition by tackling a multiplication problem like 13 x 4. Have your class split 13 into 10 and 3, with each number getting its section in our handy rectangle. The result? An engaging visualization of a double-digit multiplication that will make learning the concept practical and fun!

Learn More: YouTube

3. Multiplying Tens

Simplify the complex multiplication of tens, such as 30 x 40, by inviting your learners to create an area model. It’s like drawing a map that leads directly to the answer, which will help students learn visually and in a hands-on manner.

Learn More: YouTube

4. Double-Digit by Double-Digit Area Model

Encourage your students to apply their detective skills to solve a multiplication mystery like 12 x 13. Let them dissect both numbers into their tens and ones, each getting its slice of our rectangle pie. Every section represents a piece of the puzzle!

Learn More: YouTube

5. Multiplying Hundreds

Guide students to explore the vast universe of hundreds multiplication, like 200 x 300, using area models. It’s a voyage of discovery, showing kids how even the largest numbers can be manageable with an engaging technique.

Learn More: Helping With Math

6. Three-Digit by Single-Digit Area Model

Go on an adventure with your learners to conquer a three-digit by single-digit multiplication like 123 x 5. Watch them split 123 into 100, 20, and 3, turning the rectangle into a dynamic game board.

Learn More: IXL

7. Multiplying by Zero

Teach your class the power of zero with this model. They’ll learn how zero, the quiet hero, can transform any number into… zero itself!

Learn More: YouTube

8. Multiplication by Distributive Property

Transform abstract concepts like the distributive property into tangible experiences with an example like 78×45. Watch as your students break numbers apart and multiply each part, using a hands-on experience to display the workings of multiplication over addition.

Learn More: Math Monks

9. Multiplying Decimals

Bring decimals down to earth by treating each one like a whole number at first and then factoring in the decimal places. Seeing 0.4 x 0.5 visualized can make decimal multiplication much less daunting.

Learn More: YouTube

10. Multiplying Fractions

Translate the abstract concept of fraction multiplication into a visually appealing rectangular area. Your students will appreciate this concrete representation of multiplying fractions like 1/2 x 2/3.

Learn More: YouTube

11. Mixed Numbers Multiplication

Try out this ingenious idea to help your young minds navigate the complex terrain of mixed numbers multiplication. They’re sure to love the thrill of converting mixed numbers into improper fractions and using the area model to solve them!

Learn More: YouTube

12. Three-Digit by Double-Digit Area Model

Tackle the challenge of multiplying three digits by two digits like 123 x 45. Your learners will split the numbers into their respective places, treating the rectangle as a master canvas for their calculation masterpieces.

Learn More: Splash Learn

13. Multiplying by Multiples of Ten

Spark curiosity in your students by visualizing multiplying by multiples of ten, like 50 x 4. Watch them compare this to single-digit multiplication and observe the power of ten in action!

Learn More: Sofatutor

14. Multiplication with Negative Numbers

Demystify the concept of negative multiplication by showing examples like -2 x 3. With this model, your kids will understand that multiplying negative and positive numbers yields a negative result.

Learn More: G’Day Math

15. Multiplying Large Numbers

Empower your students to tackle the mammoth task of multiplying large numbers like 4356 x 78. Watch them use area models to break down the numbers into thousands, hundreds, tens, and ones, and conquer the challenge piece by piece!

Learn More: YouTube

Category: Math

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