Maths
Order for Learning Times Tables
Have you ever felt overwhelmed by the vast array of multiplication facts that children need to learn? The best way to learn them isn’t necessarily starting from 1, and going sequentially up to 10. Dr Paul Swan, an Australian educator and mathematics specialist, suggests a specific order for learning multiplication facts based on their structure and complexity. The order he recommends is designed to help students build a solid foundation in multiplication by starting with simpler facts and gradually progressing to more challenging ones.
Zero Times Tables (x0): We begin with the zero times tables, where any number multiplied by zero results in zero. This concept provides a solid foundation and an easy entry point into multiplication.
One Times Tables (x1): Next, we move to the one times tables, where any number multiplied by one remains unchanged. These facts reinforce the concept of identity in multiplication.
Two Times Tables (x2): Following the one facts, we learn the two times tables, which involve doubling numbers (2, 4, 6, 8, etc.). These facts are often easier to memorize due to their doubling pattern.
Ten Facts (x10): Just before diving into the five times tables, we tackle the ten facts. Although seemingly easy, the tens facts are crucial for the understanding of place value. Since five is half of ten, mastering the ten facts provides a smooth transition to the fives.
Five Times Tables (x5): Following the ten facts, we learn the five times tables, which are essential as they are closely related to place value and reading analogue clocks.
Three Facts (x3): After mastering the five facts, we introduce the three times tables. Dr. Swan suggests leveraging known facts to derive new ones. For example, using 6 x 2 = 12 to work out 6 x 3: 6 x 3 = (6 x 2) + 6.
Nine Facts (x9): Following the three facts, we delve into the nine times tables. These facts can be related to the ten facts, providing a bridge to understanding multiplication by nine. For example, 3 x 9 = (3 x 10) - 3. Some students learn the nine facts last, but they are in fact one of the easier times tables!
Four Times Tables (x4): After mastering the nine facts, we progress to the four times tables, which are multiples of four. These facts can be reinforced by linking them to the doubles and the two times tables.
Eight Times Tables (x8): Next, we tackle the eight times tables, utilizing the doubling strategy to make learning more efficient. These facts can also be connected to the four times tables.
Six Times Tables (x6): Following the eight facts, we focus on the six times tables, using the doubling strategy and linking them to the three times tables for easier understanding.
Seven Times Tables (x7): Lastly, we learn the seven times tables, which can be the trickiest for some students. However, the only fact left to learn is 7 x 7. The other x7 facts have already been learned through the other times tables!
By breaking down the times table into manageable chunks and using strategies like leveraging known facts, doubling, and making connections between different facts, children can build a strong foundation in multiplication. As parents and educators, we can guide them through this structured learning journey, turning what may seem overwhelming into an exciting adventure of mathematical discovery.
Kelvin Tang
Numeracy Specialist