in this lesson you will learn about locating rational numbers by using a number line
DESCRIPTION
How do you position a group of numbers that include decimals, fractions and integers on a number line?. In this lesson you will learn about locating rational numbers by using a number line. 9.25 9 9.2. 9.25 9. 9.2. 0 0. 0. 9 9.2 9.25. - PowerPoint PPT PresentationTRANSCRIPT
How do you position a group of numbers that include decimals,
fractions and integers on a number line?
In this lesson you will learn about locating rational numbers by
using a number line.
Let’s Review
9.25 9 9.2
9.259.9.2
00
09 9.2 9.25
Let’s Review
A Common Mistake
Not realizing that fractions and decimals describe the same point on
a line
Core Lesson
These can be changed to all fractions or all decimals
Core Lesson
Change to Decimals
-8.2, -8.3, -8.7, -8.6
Core Lesson
-8.7, -8.6, -8.3, -8.2
-8.2, -8.3, -8.7, -8.6
l l l l l l l l l l l-9 -8-8.2
-8.3
-8.7
-8.6
Core Lesson
Change to Fractions
Core Lesson
l l l l l l l l l l l-9 -8
Core Lesson
What about if we don’t change them at all?
Core Lesson
l l l l l l l l l l l-9 -8-8.2
-8.7
Core Lesson
l
l
l
l
l
l
l
l
l
l
-9
-8
-8.3
-8.7
Core Lesson
-6-7 -6.7
-6.95
Core Lesson -6
-7
-6.7
-6.95
Core Lesson
0 1 2 3-1-2-3 2.2 -2.3
Core Lesson 10
0
5
-10
-5
-2.3
2.2
In this lesson you have learned about locating rational
numbers by using a number line.
Guided Practice
-1-3 0 2-2 31
2 4/5
-2.3
- 2 3/4
2.35
Guided Practice
-2 -1 0 1 2
1 1/10
-0.7
-1 1/10
1.8
Extension Activities
Make a large number line from -10 to 10. Leave a lot of room between numbers.
Write down positive and negative fractions and decimals between -10 and 10. Locate the numbers on the number line.
If working with a group, make a number line large enough to walk on. Have the group arrange themselves correctly on the number line.
Extension Activities
Take a number line and put some marks on it. Challenge your partner to come up with a decimal number for the point while you come up with a fraction. Take turns trading off who does the decimal and who does the fraction.
Extension Activities
Make at least 20 cards with either a fraction or decimal on it. Divide the cards between you and your partner. Each of you turn over a card at the same time. Whoever has has the higher card takes both cards. Play continues until one person has all the cards.
To make it harder, limit the value of the cards, i.e. all numbers must be between -5 and 5.
Quick Quiz
-2 -1 0 1 2
Quick Quiz
-2 -1 0 1 2