Maths Multiplication Tables From 11 To 20

Mastering Multiplication Tables from 11 to 20: Your Comprehensive Guide

Learning multiplication tables is a fundamental building block in mathematics. While the tables from 1 to 10 are commonly memorized, extending your knowledge to the tables from 11 to 20 significantly enhances your mathematical fluency and problem-solving skills. This comprehensive guide will equip you with effective strategies, helpful tricks, and practice exercises to master these tables, unlocking a new level of mathematical proficiency.

Why Learn Multiplication Tables 11-20?

Beyond the immediate benefits of improved calculation speed and accuracy, mastering multiplication tables from 11 to 20 provides several significant advantages:

• Enhanced Problem-Solving Skills: A strong grasp of multiplication allows you to tackle more complex mathematical problems with greater ease and efficiency. This is crucial for algebra, geometry, and even everyday calculations.

• Improved Mental Math Abilities: Regular practice strengthens your mental math skills, enabling faster calculations without relying on calculators. This can be incredibly useful in various real-life situations.

• Increased Confidence in Math: Successfully mastering these tables builds confidence and a positive attitude towards mathematics, fostering a growth mindset.

• Foundation for Advanced Math: Multiplication forms the basis of many advanced mathematical concepts, including division, fractions, algebra, and calculus. A solid foundation in multiplication is essential for success in these areas.

• Time-Saving in Daily Life: From calculating grocery bills to determining the total cost of multiple items, knowing your multiplication tables saves valuable time and mental effort in daily life.

Effective Strategies for Learning Multiplication Tables 11-20

Learning multiplication tables doesn't have to be a tedious chore. Employing effective strategies can make the process engaging and efficient:

1. Break it Down: Chunking and Incremental Learning

Instead of trying to memorize all the tables at once, focus on smaller chunks. Start with the table of 11, then 12, and so on. Mastering one table before moving to the next builds confidence and prevents overwhelm.

2. Utilize Patterns and Tricks:

Many multiplication tables from 11 to 20 exhibit patterns that can simplify memorization:

• Table of 11: A simple trick for the 11 times table is to add the digits of the number you're multiplying by 11. If the sum is less than 10, place it between the digits of the original number. If the sum is 10 or greater, add 1 to the leftmost digit and subtract 10 from the sum before placing it in the middle. For example: 11 x 13 = 143 (1+3=4). 11 x 17 = 187 (1+7=8). 11 x 56 = 616 (5+6=11, so 616)

• Table of 12: This table can be approached as double the 6 times table.

• Table of 15: This table is simply the 5 times table with each answer multiplied by 3 or the 3 times table with each answer multiplied by 5.

• Table of 20: This is double the 10 times table.

Identifying these patterns significantly reduces the amount of rote memorization required.

3. Use Visual Aids:

Visual aids can be incredibly helpful. Consider using:

• Multiplication Charts: Create or print multiplication charts for the tables from 11 to 20. Regularly review these charts.

• Color-Coding: Color-code multiplication tables to help distinguish them and improve memory recall.

• Flashcards: Flashcards are a classic and effective method for memorizing multiplication facts. Write the multiplication problem on one side and the answer on the other.

4. Engage in Active Recall:

Active recall is a powerful learning technique. Instead of passively reviewing your multiplication tables, actively test yourself. This could involve:

• Self-Testing: Quiz yourself regularly using flashcards or by writing down the multiplication facts from memory.

• Practice Problems: Solve numerous multiplication problems using the tables you're learning.

• Games and Activities: Engage in multiplication games or activities to make learning more enjoyable and interactive.

Practice Exercises:

The following exercises will help solidify your understanding and mastery of multiplication tables from 11 to 20.

Exercise 1: Fill in the blanks:

1. 11 x 7 = ______
2. 12 x 9 = ______
3. 13 x 6 = ______
4. 14 x 8 = ______
5. 15 x 5 = ______
6. 16 x 4 = ______
7. 17 x 3 = ______
8. 18 x 2 = ______
9. 19 x 10 = ______
10. 20 x 11 = ______

Exercise 2: Solve the following word problems:

1. A bakery sells boxes of 12 muffins. If they sell 7 boxes, how many muffins did they sell?

2. A farmer plants 15 rows of corn with 14 plants in each row. How many corn plants are there in total?

3. Sarah earns $17 per hour. How much does she earn after working 8 hours?

4. A school bus has 19 seats, with 2 students sitting on each seat. How many students can the bus carry?

5. A box contains 20 pencils. How many pencils are there in 11 such boxes?

Exercise 3: Speed Test:

Time yourself to see how quickly you can solve the following multiplication problems:

1. 11 x 11
2. 12 x 12
3. 13 x 13
4. 14 x 14
5. 15 x 15
6. 16 x 16
7. 17 x 17
8. 18 x 18
9. 19 x 19
10. 20 x 20

Advanced Techniques and Applications:

Once you have a solid grasp of the multiplication tables, you can explore more advanced techniques and applications:

• Mental Math Strategies: Learn mental math strategies like multiplying by rounding and adjusting, or using distributive property.

• Algebraic Applications: Apply your multiplication skills to algebraic equations and expressions.

• Geometry and Measurement: Utilize multiplication in calculating areas, volumes, and other geometric measurements.

• Data Analysis: Use multiplication in analyzing data and interpreting charts and graphs.

Consistent Practice is Key:

Mastery of multiplication tables from 11 to 20 requires consistent practice. Set aside regular time for practice, even if it's just for a few minutes each day. The more you practice, the faster and more accurate your calculations will become. Don't be afraid to use a variety of methods and resources to make the learning process engaging and enjoyable. With dedication and the right approach, you can confidently conquer these multiplication tables and significantly improve your mathematical abilities. Remember to celebrate your progress along the way, as consistent effort will ultimately lead to success.