1. Chapter 1 Lesson 5 Understanding Place Value
LEAP FROG WITH NUMBERS
Chapter 1 Lesson 5
Understanding Place Value

2. Pre-Skills Review
What is the place value of the underlined digit in each number?
______________
6, _____________
What is the value of the underlined digit in each number?
2, __________
__________
How is the digit 6 in #2 at the top different than the 6 in #2 at the bottom?
tenths
thousands
.01 6
The 6 in the top number is worth 6,000.
The 6 in the bottom number is only worth 6.

3. Essential Question
How does the position of a digit in a number relate to its value?

4. I Can . . . Find the place and value of digits within a number.
Recognize that a digit in one place represent 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

5. Key Terms
Decimal – A number that has a digit in the tenths place, hundredths place, and beyond.
Place Value – The value given to a digit by its position in a number.
Value – The numerical worth or amount of a digit.

6. This place value chart can be used to model changing the digits throughout this powerpoint.
Be sure to print off the decimal place value chart for students to use throughout this lesson. (The place value decimal chart is located on OneDrive under First Nine Weeks, Chapter 1).

7. Mini-Lesson
In the number below, the frog with digit 7 will leap 2 places to the left. Seven will take 5’s place, so 5 and 4 will move one place to the right.
Teacher introduces slide with:
Leap Frog is a game children have played for many years. In this game, one child jumps over another child to change places.
Frogs can play leap frog too! In this lesson the frogs have numbers.
Teacher should use a place value to model the digits changing places.
Students
How did “7” change when he moved? Did he increase or decrease in value? By how much?
ANSWER: He increased 100 times. He was worth .07, but now is worth 7. The new number is

8. Mini-Lesson
In the number below, the frog with digit 8 will leap 1 place to the left.
Teacher introduces slide with:
Leap Frog is a game children have played for many years. In this game, one child jumps over another child to change places.
Frogs can play leap frog too! In this lesson the frogs have numbers.
Before the move he was 10 times greater. Did he increase or decrease in value? By how much?
ANSWER: The frog decreased in value. He is 1/10 less. He was worth 8.0, but now is worth .8.

9. Mini-Lesson
In the chart below, the digit 4 is leaping over the other digits. He is trying to become greater in value. Fill in the missing values, then find which move gives 4 the greatest value.
Number
Direction of the jump
The amount of jumps
Original value of 4
New value of 4
65.043
Right
1 place
.04
3,014.67
Left
2 places
400 5, 4
Teachers: Be sure to use the vocabulary and stress the difference between 1/10 less, 1/10 greater, and 10/100 times greater. Focus on the value of 4 both before and after the jumps.
It may be helpful to give students a place value chart to assist them in seeing the jumps.
1/10
.004
100 4
1/10 40

10. Mini-Lesson
Six is very sneaky! He keeps hopping over the other digits. See if you can keep up with where the 6 has moved in the following numbers. Find his place value and his value in each number below.
Number
Place value of 6
Value of 6
1. 6,783.09
thousands
.06
3. 4,321.6
tenths
4. 26,089
6,000
6,000
hundredths .6
thousands
How many times greater is the 6 in #3 than the 6 in #2? _____
How many times less is the 6 in #2 than the 6 in #1? ______
10 times
100,000

11. Name Name Name Name k So with this template:
The Hands-On Activities= Teacher Group
At Your Seat= Independent Work
Math Facts= Fluency
Teacher Choice= Station D
Name
Name
Name
Name k

13. Sharing Time
How does a place value chart help you recognize the relationship between the value of the digits in a decimal?

14. Exit Ticket
Create a number using the digits above and the following guidelines:
There are two 3s in the number. One three has a value that is 1/100 of the other 3.
The 4 has the greatest value.
The 0 is in the tens place.
The 6 in the hundredths place.
The 5 is in a place value that is 10 times greater than the place value of 6.
4,303.56