## Ones and Tens Place Values

#### Aligned To Common Core Standard:

**Grade 1 Numbers** - 1.NBT.2

As we start to make progress with math, we will constantly work with greater and greater values. Understanding the significance of each column of digits in a number is profound and required to move on to more advanced forms of math. I often encourage teachers to have students start this concept by writing values from standard to expanded form. For example: 83 is the standard form of writing a value and in expanded form of it is: 80 + 3. Each integer in that number differs by a power of ten. The integer to the furthest right is the ones column and the integer to left indicates the tens column. These worksheets introduce the concept of place value held within double digit numbers.

- Visual Ten Places Step-by-step Lesson-
We use blocks to represent the tens place. It makes for an easy transition from numbers.

- Visual Ones and Tens Place
Explained- We work on a smaller scale to fully explain the concept.

- Visual Place Number Practice 5
Pack- Count the groups of ten and the singles.

- Ones and Tens Place Practice Worksheet-
This is a nice way to further explore this skill.

- Grouping Worksheet Practice 5 Pack- Figure
out how many tens and ones there are in this set of practice sheet
with visuals. Write in how many groups of ten you have and count up how many trees you have remaining.

- Missing Place Numbers Guided Lesson
- A great mix. Includes the missing ones place, noting ones and
tens place, and block counting.

- Visual Guided Lesson Explanation
- I tried to make this one as visual as possible to make it a bit
more easy for students.

- Mixed Practice Problems
- It kind of picks up where the guided lesson has led us. Then it
goes a bit overboard with the visual place blocks.

- Matching Ones and Tens Places
- Match the numbers to their place values.

#### Guided Lessons

I covered current and past teaching methods to let teachers at all ranges have resources for their method.

- Break Apart the Numbers Guided Lesson 1 - This is more an older method teachers used until spreadsheets became the toast of the town.
- Tens and Ones Guided Lesson 2 - If the previous sheet gave students trouble, this one should clear it up for them.
- How Many Circles Guided Lesson 3 - Splitting shapes up into parts leads itself to integers.
- Tens and Ones Guided Lesson Explanation - This one is nice because we go with both shapes and integers.
- Tens and Ones Chart Guided Lesson Explanation 2 - Using columns is the most common method I see teachers use today.

#### Practice Worksheets

These sheets are all working this skill with many different methods of performing the same overall task.

- Charting Ones and Ten Place Worksheet - Given a number, decide which integer is the tens and one place.
- Write the Numbers Described Worksheet - Lets play "Name that Number!"
- Missing Numbers Worksheet- We adapt this skill to using it in operations.
- Tens and Ones with Models Worksheet - It's all about name shapes as a place value.

### What Are Ones and Tens Place Values?

Every digit, be it a two-digit number or more than two digits, has a place value. To make up large numbers, mathematics uses a system that is known as a place value system. It is the place of a digit in a number represented by its position in the number (column). The very first position (from the far right) in a digit is the ones position, and the second position (moving to the left) is the tens position. For example, the number 58 is a two-digit number. Understanding the position of 5 and 8 in this number is the understanding of place value. In this two-digit number, there are two place values. Understanding that 58 is made up of 50 and 8 rather than 5 and 8 is important. The place values increase with the addition of digits in the number. In this example we are using, 58, the place of 8 is at ones position and the place of 5 is at tens position. As the digits increase, the place values go from ones to tens to hundreds to thousands and so on, from right to left.

### Why Are They Important to Learn?

People often confuse the importance of learning the names or labels of each column value with what actually holds value for students. It is much more beneficial to focus on how each column relates to the column that is located to the right or left of it. Since we are using a base ten math system, we start at 0 and once we have a value that goes past 9, this value is elevated to the next column or place. If we start at the ones place, as we **move to the left each column is 10 times greater**. As we move to **columns that are to the right of each place is ten times less**. This simple concept is literally the fundamental concept that applies to just about all operations.

While we have focused on reasoning why it is important, when you look at really world applications of this concept, the importance hits you like a brick. There are boundless real-world applications. Ask students whether they would rather like to have a $1, $10, or $100 bill in their pocket. Guess what all those differ by? Understanding this principle will help students realize the value of each digit within a two digit or greater value.