Lesson Plan - Get It!
For gym class, Ms. Hintlemann gave her class an assignment: run as far as you can without stopping.
Sarah ran 3/10 of a mile.
Brian ran 0.45 miles.
Victor ran 30/100 of a mile.
Kayla ran 0.3 miles.
Tristen ran 7/10 of a mile.
Ailee only ran 10/100 of a mile.
Lilly ran 26/100 of a mile.
- Who ran the farthest?
- What do these distances have in common?
- How are they different?
All of Ms. Hintlemann's class ran less than 1 mile. Every distance listed is either a fraction or a decimal, which is less than 1 whole.
In order to figure out who ran the farthest, you need to use what you know about fractions and decimals!
A fraction is part of a whole.
You have learned several ways to represent fractions.
For example, look at 1/10:
You can represent a fraction by using a picture, a fraction bar, a number line, or words.
You can also represent this fraction as a decimal!
Look closer at the number line used to show 1/10:
The number line between 0 and 1 is divided into 10 equal parts. Each mark represents 1/10, which is equivalent to 0.1
You continue counting to the right on the number line until you reach the whole number 1.
Let's look at a few more examples:
You could split a shape into 100 equal parts. The shaded part represents 1/100 or 0.01:
Ten shaded hundredths is equivalent to one-tenth:
0.10 = 0.1
Look at the number line marked by hundredths:
First, look at the green dot. It is at 0.50 or 50/100.
Next, look at the purple dot. It is in between 0.10 and 0.20 which means the green dot represents 0.15 or 15/100.
If the red dot is at 0.60 or 60/100, what is it also equivalent to?
- Are you starting to get the hang of tenths and hundredths?
For another look, watch Relating Decimals to Fractions- Tenths and Hundredths 4th Grade from Mr. Alvarez:
Now you are ready to practice your new knowledge!
Click NEXT to move to the Got It? section.