Make 10, Subtract in First Grade: Mastering Math Skills

When teaching first graders to subtract, it's crucial to start with a fundamental concept: understanding how to make a ten. This simple, yet powerful skill not only helps them grasp the basics of subtraction but also sets a strong foundation for more complex mathematical concepts in the future.

By learning to make a ten, kids can easily visualize and understand the concept of regrouping, which is a significant step towards comprehending subtraction. It's like taking a big pile of candies and organizing them into neat stacks of ten - making it easier to count and manage. Let's delve into this process in a fun, educative way!

Understanding the Basics: What is Making a Ten?

In simple terms, 'making a ten' involves combining single-digit numbers to create a decade - a group of ten. For instance, combining 5 ones (5) to make a ten (10), or using 7 ones and 2 tens (7 + 10 = 17). The key here is to understand that hundreds (100's), tens (10's), and ones (1's) are all units of measure working together.

In first grade, students start by understanding 'making a ten' with tens and ones, but eventually, they graduate to using hundreds as well. Let's break down this concept further with the help of two essential sub-topics.

Concept of Regrouping

Regrouping, also known as renaming, is when we turn one group of tens into ten ones, or vice versa. For example, changing 2 tens (20) into 20 ones (20). This is the core concept behind 'making a ten.' Children need to understand that 10 ones are the same as 1 ten.

To illustrate this, consider a barrage of toy soldiers. If you have 15 soldiers, you can't count them all at once efficiently; hence, you group them into tens: 10 soldiers first, then 5 soldiers left (10 + 5 = 15). So, 15 soldiers are 10 + 5 or 1 ten and 5 ones.

The Role of Zero in 'Making a Ten'

Zero plays a vital role in making tens and subtracting. When we have less than ten, we use a zero to represent the missing ones. For instance, 6 ones is written as 6 or 06, and improper regrouping might result in 'borrowing' a zero, creating confusion.

When you're using base ten blocks for practice, the little cubes (ones) shouldn't be viewed as mere tens stand-ins. They're one thing - ones. When you make a ten from them, you're simply swapping one kind of block for another kind - the flat, ten-blocks.

The Connection to Subtraction: Regrouping to Subtract

Once kids understand 'making a ten,' they can grasp the concept of regrouping in subtraction. They'll realize that when they don't have enough ones to subtract, they can borrow a ten (or a hundred, later), which is also called regrouping.

The more you practice making tens with your first grader, the more comfortable they'll become with the idea of trading one group of tens for ten ones, which is a fundamental step in learning to subtract.

Subtracting with 'Making a Ten'

'Making a ten' is the linchpin of successful subtraction. When subtracting numbers with two or more digits, understanding 'making a ten' enables students to subtract accurately. They can easily visualize how to trade ten ones for one ten to make the subtraction process smoother.

For example, consider subtracting 14 from 27. A first grader should understand that 14 is 1 ten and 4 ones. To subtract, they trade one of the 2 tens in 27 for ten ones, turning their 27 into 17. Then, they can easily subtract the 1 ten and 4 ones from 17 - leaving them with 6 ones, or just 6.

The Path Ahead: More Than Just Subtraction

Learning to make a ten sets the stage for children to grasp critical mathematical concepts. It's not just about subtraction; it's about understanding place value, adding, and ultimately, mastering arithmetic. As they progress through elementary school, this essential foundation will serve them well.

So, let's help our first graders excel in math by fostering a strong understanding of 'making a ten.' With constant practice, engaging activities, and encouraging feedback, we can build a strong mathematical foundation that will serve them now and in the future.

As you continue your teaching journey, remember that every new concept built upon 'making a ten' will be an opportunity to awe your students with the beauty and logic of mathematics. Don't hesitate to explore various teaching strategies and channel your students' creativity to make learning fun and engaging!