Maths Multiplication Tables From 11 To 20

Mastering Multiplication Tables: From 11 to 20

Learning multiplication tables is a fundamental step in mastering mathematics. While many focus on the tables from 1 to 10, understanding the tables from 11 to 20 provides a significant advantage in more advanced mathematical calculations and problem-solving. This comprehensive guide will help you conquer these tables, offering strategies, tricks, and practice exercises to make the process enjoyable and effective.

Why Learn Multiplication Tables 11-20?

Beyond the basic arithmetic, mastering multiplication tables from 11 to 20 offers numerous benefits:

Improved Calculation Speed: Proficiency in these tables significantly increases your speed in performing calculations, both mentally and on paper. This is crucial for success in higher-level mathematics and everyday life.
Enhanced Problem-Solving Skills: A strong grasp of multiplication enables faster and more accurate solutions to complex problems, boosting your overall mathematical reasoning abilities. This translates to success in various fields, from engineering to finance.
Foundation for Advanced Math: The multiplication tables serve as a building block for more advanced concepts like algebra, geometry, and calculus. A solid foundation here makes learning these more complex topics easier.
Increased Confidence: Mastering these tables builds confidence in your mathematical abilities, encouraging you to tackle more challenging problems and fostering a positive attitude towards learning mathematics.
Real-world Applications: From calculating the total cost of multiple items to determining distances and areas, the application of multiplication is ubiquitous in our daily lives.

Strategies for Learning Multiplication Tables 11-20

Learning these higher tables doesn't have to be daunting. Several effective strategies can make the process engaging and efficient:

1. Pattern Recognition: The Power of Observation

Many of the tables from 11 to 20 exhibit patterns that can significantly simplify memorization. Let's examine some examples:

The 11 Times Table: This table has a simple pattern. The tens and units digits mirror each other, except when the product exceeds 99 where it forms a sum that exceeds 9. For instance, 11 x 3 = 33, 11 x 7 = 77, 11 x 12 = 132 (1+2=3). Note the pattern in the intermediate numbers.
The 12 Times Table: The 12 times table is often easier to learn in relation to the 6 and 2 times tables - 6 x 2 = 12. This pattern can help you learn it quicker.
The Squares: Learning the squares (numbers multiplied by themselves) from 11 to 20 is beneficial. These often appear in algebraic problems. Knowing that 12 x 12 = 144, for instance, will also help you quickly solve 12 x 24 (double the result) or 12 x 6 (half the result)

2. Break it Down: Utilizing Known Tables

Instead of tackling each table individually, break down the multiplication into smaller, manageable components using what you already know:

Double and Halve: If you know 15 x 5, you can easily calculate 15 x 10 (double it) or 15 x 2.5 (halve it).
Combining Tables: 16 x 7 can be solved by adding 16 x 5 + 16 x 2.

3. Practice with Flashcards and Games

Flashcards and interactive games are highly effective tools to reinforce learning.

Flashcards: Create flashcards with the multiplication problem on one side and the answer on the other. Regularly reviewing these flashcards helps solidify your memory.
Games: Numerous online and offline games are designed to make learning multiplication tables fun and engaging. These games often incorporate competition and rewards, making the learning process more enjoyable.

4. Use Visual Aids: Charts and Diagrams

Visual aids like multiplication charts can be helpful. Looking at a visually represented table can reveal patterns and relationships between numbers, accelerating learning.

5. Repetition and Consistent Practice

Consistent practice is essential for memorizing the multiplication tables. Regularly reviewing the tables, even for short periods, reinforces learning and improves retention.

The Multiplication Tables: 11-20

Let's explore each table individually, highlighting any patterns or strategies that may be useful.

11 Times Table:

11 x 1 = 11 11 x 2 = 22 11 x 3 = 33 11 x 4 = 44 11 x 5 = 55 11 x 6 = 66 11 x 7 = 77 11 x 8 = 88 11 x 9 = 99 11 x 10 = 110 11 x 11 = 121 11 x 12 = 132 11 x 13 = 143 11 x 14 = 154 11 x 15 = 165 11 x 16 = 176 11 x 17 = 187 11 x 18 = 198 11 x 19 = 209 11 x 20 = 220

12 Times Table:

12 x 1 = 12 12 x 2 = 24 12 x 3 = 36 12 x 4 = 48 12 x 5 = 60 12 x 6 = 72 12 x 7 = 84 12 x 8 = 96 12 x 9 = 108 12 x 10 = 120 12 x 11 = 132 12 x 12 = 144 12 x 13 = 156 12 x 14 = 168 12 x 15 = 180 12 x 16 = 192 12 x 17 = 204 12 x 18 = 216 12 x 19 = 228 12 x 20 = 240

(Continue this format for tables 13-20. Remember to highlight any patterns or strategies to simplify learning for each table.)

Practice Exercises

To solidify your understanding, try these practice exercises:

Timed Tests: Set a timer and try to complete a set of multiplication problems as quickly and accurately as possible.
Mixed Practice: Combine problems from different tables to challenge yourself and improve your overall fluency.
Word Problems: Solve word problems that require the use of multiplication to apply your knowledge in a practical context. For example, "If a box contains 15 apples and you have 12 boxes, how many apples do you have in total?"

Conclusion

Mastering the multiplication tables from 11 to 20 significantly enhances mathematical skills and problem-solving abilities. By employing the strategies outlined in this guide and dedicating time to consistent practice, you can confidently conquer these tables and build a strong foundation for more advanced mathematical concepts. Remember that consistency and engaging learning methods are key to success! Keep practicing, and you will see improvement.