Transcript 6th_MA_NS_1.1_POS_AND_NEG_FRACT_MIXED_NUMBERS_N

Learning Objective
Name __________________________
Today, we will order fractions and mixed numbers on a number line.
CFU
What are we going to do today?
Mixed Number
Whole
number
Activate (or provide) Prior Knowledge
2
1
3
Numerator
Denominator
A fraction is a number that represents an equal part of a whole.
A mixed number is a number that names a whole and a fraction.
Compare numbers. Hint: Use < , >, or =
1.
2
1
6
>
1
5
6
2.
4
11
16
<
5
3
16
CFU
Students, you already know how to compare mixed numbers.
Today, we are going to order fractions and mixed numbers on a number line.
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6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
Concept Development
To order numbers is to arrange1 them from least to greatest or greatest to least.
A number line is used to represent and order numbers.
• Whole numbers are represented by the large tick marks.
• Positive numbers are numbers greater than zero.
• Negative numbers are numbers less than zero.
• Fractions are represented by the small tick marks between the whole numbers.
• The denominator represents the total number of equal parts.
• The numerator represents the selected number of equal parts.
1
Use the () sign.
2
3
4

1
4
organize
Ordering Fractions and Mixed
Numbers on a Number Line
2
-4

1 1
1
3
, , 2 , 2
2
4 4
4
3
4
-3

-2
-1
1
4
1
4
0
2
1
2
2
1 1
3
1
, , , 2
4 4
4
2
2
CFU
Which of the numbers to the right is least? How do you know?
Which of the numbers to the right is greatest? How do you know?
Which shows the numbers listed from least to greatest? How do you know?
How do you know the other is not ordered from least to greatest?
2
1
2 1
2 , ,  , 2
3
3
3 3
B
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4
1
1 1
3
,  , 2
,
4
2 4
4
2 1
2
1
 , , 2 , 2
3
3
3 3
2
1 2 1 2
2 ,  , , 2
3
3 3
3
In your own words, how do you order numbers? To order numbers _______________.
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1
2
3
Greatest to Least
Least to Greatest
A
Negative Numbers
-3
1
3

-2
-1
2
3
1
3
0
2
1
2
2
3
3
6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice
To order numbers is to arrange them from least to greatest or greatest to least.
Negative Numbers
Use the () sign.
Order fractions and mixed numbers on a number line.
2
3
4
Step #1: Place each fraction or mixed number on the number line one at a time. (label)
a. Read each number aloud.
b. Determine2 the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero.
c. Determine the denominator and numerator. Hint: Move the number of selected3 equal parts.
Step #2: Order the numbers using the number line.
2
figure out
1.
3
chosen
1
4
3
3
1 1
, 3 , 2 ,
4
4
4 4
3
4
1 3
1
3
,
,2 ,3
4 4
4
4
Order from least to greatest ________________
1
4
3
2
3
3
4
4
3
1 3 1
3 ,2 , ,
4
4 4 4
Order from greatest to least ________________
1
4
1
1 3
3
, 3 ,
, 2
4
4 4
4
0
1 3
3
1
,
, 2 , 3
4 4
4
4
Order from least to greatest ________________
2
1
0
2.
1
4

3
4
2
1
2
3
4
3
1
4
3
4
1 3 3 1
3 ,2 , ,
4
4 4 4
Order from greatest to least ________________
CFU
(#1) How did I/you place each fraction or mixed number on the number line?
(#2) How did I/you order the numbers using the number line?
DataWORKS Educational Research
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©2012 All rights reserved.
Comments? [email protected]
6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
To order numbers is to arrange them from least to greatest or greatest to least.
Negative Numbers
Use the () sign.
Order fractions and mixed numbers on a number line.
2
3
4

Step #1: Place each fraction or mixed number on the number line one at a time. (label)
a. Read each number aloud.
b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero.
c. Determine the denominator and numerator. Hint: Move the number of selected equal parts.
Step #2: Order the numbers using the number line.
1
4
1
1
1
2
3 , 1 , 1 , 2
2
6
3
3
3.
-2
-3
-4
2
3
-1
-2
1
6
1
-1
2
1
1
1
-2 , -1 , 1 , 3
3
6
3
2
Order from least to greatest ________________
4.
-3
-4
1
2
-1
-3
-2
5
6
0
1
3
3
1
2
1
-1
3
4
3
4
1
1
1
2
3 , 1 , -1 , -2
2
3
6
3
Order from greatest to least ________________
2
5
5
1
1 , -1 , 2 , -3
3
6
6
2
1
5
2
5
-3 , -1 , 1 , 2
2
6
3
6
Order from least to greatest ________________
1
2
0
1
2
3
2
2
5
6
5
2
5
1
2 , 1 , -1 , -3
6
3
6
2
Order from greatest to least ________________
CFU
(#1) How did I/you place each fraction or mixed number on the number line?
(#2) How did I/you order the numbers using the number line?
DataWORKS Educational Research
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6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
Relevance
To order numbers is to arrange them from least to greatest or greatest to least.
1. Ordering fractions and mixed numbers will help you compare quantities.
John and Mary are in a pie-eating contest. John ate 2
5
3
pies and Mary ate 2 pies.
8
4
Who won the contest?
5
2
8
<
John
3
2
4
Mary
Mary ate more pies than John.
2. Ordering fractions and mixed numbers will help you do well on tests.
CFU
Does anyone else have another reason why it is relevant to order fractions and mixed numbers on a number line? (pair-share) Why is it
relevant to order fractions and mixed numbers on a number line? You may give me one of my reasons or one of you own. Which reason is
more relevant to you? Why?
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6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
To order numbers is to arrange them from least to greatest or greatest to least.
Negative Numbers
Skill Closure
Use the () sign.
Order fractions and mixed numbers on a number line.
2
3
4
Step #1: Place each fraction or mixed number on the number line one at a time. (label)
a. Read each number aloud.
b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero.
c. Determine the denominator and numerator. Hint: Move the number of selected equal parts.
Step #2: Order the numbers using the number line.
1
2
1. 3 ,
1 3
3
,
, 2
4 4
4
1
4
1 3
3
1
,
, 2 , 3
4 4
4
2
Order from least to greatest ________________
1
3 3 1
3 , 2 ,
,
2
4 4 4
Order from greatest to least ________________
0
3
4
2
1
2

3
4
1
4
3
1
2
3
4
Constructed Response Closure
Mario believes that the numbers listed are ordered from least to greatest.
Explain why he is incorrect and what mistake he has made.
___________________________________________________________________
_________________________________________________________________
1 3
3
1
, - , -2 , 3
4 4
4
2
Summary Closure
What did you learn today about ordering fractions and mixed numbers on a number line?
Day 1 __________________________________________________________________________________________________
_______________________________________________________________________________________________________
Day 2 __________________________________________________________________________________________________
_______________________________________________________________________________________________________
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6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
Independent Practice
Name __________________________
To order numbers is to arrange them from least to greatest or greatest to least.
Negative Numbers
Use the () sign.
Order fractions and mixed numbers on a number line.
2
3
4
Step #1: Place each fraction or mixed number on the number line one at a time. (label)
a. Read each number aloud.
b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero.
c. Determine the denominator and numerator. Hint: Move the number of selected equal parts.
Step #2: Order the numbers using the number line.
1.
1
1
3 3
, 2 , 1 ,
4
4
4 4
1
4
3
4
1
0
1 3
3
1
,
,1 ,2
4 4
4
4
Order from least to greatest ________________
2.
1
4
0
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3
4
2
1
4
1
4
2
3
4
1 3 3 1
2 ,1 , ,
4 4 4 4
Order from greatest to least ________________
3 1 3
1
3 ,
,
, 2
4 4 4
4
1 3
1
3
,
, 2 , 3
4 4
4
4
Order from least to greatest ________________
1

3
4
2
1
2
1
4
3
3
3
4
4
3
1 3 1
3 ,2 , ,
4
4 4 4
Order from greatest to least ________________
6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
Independent Practice (continued)
To order numbers is to arrange them from least to greatest or greatest to least.
Negative Numbers
Use the () sign.
Order fractions and mixed numbers on a number line.
2
3
4

Step #1: Place each fraction or mixed number on the number line one at a time. (label)
a. Read each number aloud.
b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero.
c. Determine the denominator and numerator. Hint: Move the number of selected equal parts.
Step #2: Order the numbers using the number line.
1
4
1
1
2
1
3 , 1 , 2 , 2
2
3
3
6
3.
-2
-3
-4
1
6
-1
1
3
2
-2
-1
1
1
2
1
-2 , -1 , 2 , 3
6
3
3
2
Order from least to greatest ________________
1
0
2
2
3
3
1
2
3
4
1
2
1
1
3 , 2 , -1 , -2
2
3
3
6
Order from greatest to least ________________
1
1
1 2
2 , 1 , 3 ,
6
6
3 3
4.
-3
-4
1
3
-1
-3
-2
1
6
2
3
-1
1
1 2
1
-3 , -1 ,
, 2
3
6 3
6
Order from least to greatest ________________
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0
2
1
2
1
6
3
4
1 2
1
1
2 ,
, -1 , -3
6 3
6
3
Order from greatest to least ________________
6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
Periodic Review 1
Name __________________________
To order numbers is to arrange them from least to greatest or greatest to least.
Negative Numbers
Use the () sign.
Order fractions and mixed numbers on a number line.
2
3
4

Step #1: Place each fraction or mixed number on the number line one at a time. (label)
a. Read each number aloud.
b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero.
c. Determine the denominator and numerator. Hint: Move the number of selected equal parts.
Step #2: Order the numbers using the number line.
1
1
3
1
, 1 , 3 , 
4
4
4
2
1
1
1
-1
2
4
4
1.
-4
-3
-2
-1
1
1 1
3
-1 , - ,
, 3
4
2 4
4
Order from least to greatest ________________
-4
-3
1
4
-2
-1
1
3 1
3
-2 , - ,
, 3
4
4 4
4
Order from least to greatest ________________
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3
1
2
3
4
4
3
3 1
1
1
3 ,
, - , -1
4 4
2
4
Order from greatest to least ________________
1
3
3 1
2 , 3 ,  ,
4
4
4 4
3
1
4
4
2.
-2
0
1
4
0
3
1
2
3
4
3
4
3 1
3
1
3 ,
, - , -2
4 4
4
4
Order from greatest to least ________________
6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
Periodic Review 1 (continued)
To order numbers is to arrange them from least to greatest or greatest to least.
Negative Numbers
Use the () sign.
Order fractions and mixed numbers on a number line.
2
3
4
Step #1: Place each fraction or mixed number on the number line one at a time. (label)
a. Read each number aloud.
b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero.
c. Determine the denominator and numerator. Hint: Move the number of selected equal parts.
Step #2: Order the numbers using the number line.

1
4
3
1
3
1
2
1
2
 , 1 , 3 , 2
3
3
3
3
3.
-2
2
3
-
-3
-4
-2
-1
2
1
2
1
-2 , - , 1 , 3
3
3
3
3
Order from least to greatest ________________
-4
1
3
-2
-3
1
1
3
-2
-1
1
1 2
2
-3 , -2 ,
, 3
3
3 3
3
Order from least to greatest ________________
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1
0
2
3
2
3
4
1
2
1
2
3 , 1 , - , -2
3
3
3
3
Order from greatest to least ________________
2 2
1
1
3 ,
, 3 , 2
3 3
3
3
4.
-3
1
3
0
2
3
3
1
2
2
3
3
4
2 2
1
1
3 ,
, -2 , -3
3 3
3
3
Order from greatest to least ________________
6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
Periodic Review 2
Name __________________________
To order numbers is to arrange them from least to greatest or greatest to least.
Negative Numbers
Use the () sign.
Order fractions and mixed numbers on a number line.
2
3
4

Step #1: Place each fraction or mixed number on the number line one at a time. (label)
a. Read each number aloud.
b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero.
c. Determine the denominator and numerator. Hint: Move the number of selected equal parts.
Step #2: Order the numbers using the number line.
1
1
1 3
2 , 1 , 3 ,
4
4
2 4
1
1
4
1.
3
1
2
-4
-3
-2
-1
1
1 3
1
-3 , -1 ,
, 2
2
4 4
4
Order from least to greatest ________________
-4
1
4
-3
-2
-1
1
1
1 3
-3 , -1 , 2 , 2
4
4
4
4
Order from least to greatest ________________
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2
1
1
4
2
3
4
1 3
1
1
2 ,
, -1 , -3
4 4
4
2
Order from greatest to least ________________
3
1
1
1
2 , 1 , 2 , 3
4
4
4
4
1
1
4
2.
3
0
3
4
1
4
0
2
1
2
1
4
2
3
4
3
4
3
1
1
1
2 , 2 , -1 , -3
4
4
4
4
Order from greatest to least ________________
6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
Periodic Review 2 (continued)
To order numbers is to arrange them from least to greatest or greatest to least.
Negative Numbers
Use the () sign.
Order fractions and mixed numbers on a number line.
2
3
4

Step #1: Place each fraction or mixed number on the number line one at a time. (label)
a. Read each number aloud.
b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero.
c. Determine the denominator and numerator. Hint: Move the number of selected equal parts.
Step #2: Order the numbers using the number line.
1
4
2
1
2
1
,  , 2 , 1
3
3
3
3
3.
2
2
3

-3
-4
-2
-1
2
1 2
1
-2 , - ,
, 1
3
3 3
3
Order from least to greatest ________________
1
3
2
3
0
1
1
3
1
2
3
4
1 2
1
2
1 ,
, - , -2
3 3
3
3
Order from greatest to least ________________
1
2
1
1
1 , 1 , 2 , 3
3
3
3
3
4.
3
-4
1
3
2
-3
1
3
1
-2
-1
1
1
1
2
-3 , -2 , 1 , 1
3
3
3
3
Order from least to greatest ________________
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Comments? [email protected]
0
1
1
3
1
2
3
2
3
4
2
1
1
1
1 , 1 , -2 , -3
3
3
3
3
Order from greatest to least ________________
6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
Periodic Review 3
Name __________________________
To order numbers is to arrange them from least to greatest or greatest to least.
Negative Numbers
Use the () sign.
Order fractions and mixed numbers on a number line.
2
3
4

Step #1: Place each fraction or mixed number on the number line one at a time. (label)
a. Read each number aloud.
b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero.
c. Determine the denominator and numerator. Hint: Move the number of selected equal parts.
Step #2: Order the numbers using the number line.
1 1
1
3
2 ,
, 1 , 2
4 2
4
4
1
1
4
1.
2
-4
3
4
-3
-2
-1
3
1 1
1
-2 , -1 ,
, 2
4
4 2
4
Order from least to greatest ________________
-4
3
4
2
3
4
-3
-2
-1
3
3 1
1
-3 , -2 ,
, 2
4
4 4
4
Order from least to greatest ________________
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Comments? [email protected]
2
1
1
4
2
3
4
1 1
1
3
2 ,
, -1 , -2
4 2
4
4
Order from greatest to least ________________
1
3 1
3
2 , 3 ,
, 2
4
4 4
4
1
4
2.
3
0
1
2
1
4
0
2
1
2
1
4
3
4
1 1
3
3
2 ,
, -2 , -3
4 4
4
4
Order from greatest to least ________________
6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
Periodic Review 3 (continued)
To order numbers is to arrange them from least to greatest or greatest to least.
Negative Numbers
Use the () sign.
Order fractions and mixed numbers on a number line.
2
3
4
2
1
2

Step #1: Place each fraction or mixed number on the number line one at a time. (label)
a. Read each number aloud.
b. Determine the sign and the value of the whole number or fraction. Hint: Move to right or the left of zero.
c. Determine the denominator and numerator. Hint: Move the number of selected equal parts.
Step #2: Order the numbers using the number line.
1
4
1
1
1
1
1 , 3 , 1 , 2
3
3
6
2
3.
3
-4
1
3
1
-3
-2
1
6
1
-1
1
1
1
1
-3 , -1 , 1 , 2
3
6
3
2
Order from least to greatest ________________
4.
2
-4
-3
0
1
1
3
2
-2
-1
1
1
5
5
-2 , - , 2 , 3
2
6
6
6
Order from least to greatest ________________
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
4
1
1
1
1
2 , 1 , -1 , -3
2
3
6
3
Order from greatest to least ________________
1
1
5
5
 , 2 , 2 , 3
6
2
6
6
1

6
1
2
3
0
2
1
2
5
6
3
3
5
6
4
5
5
1
1
3 , 2 , - , -2
6
6
6
2
Order from greatest to least ________________
6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
EDI – Cognitive, Teaching and English Learners Strategies
Learning Objective : Today, we will order fractions and mixed numbers on a number line.
Cognitive Strategies
Teaching Strategies
Elaboration
Demonstration
Targeted vocabulary: order, arrange, number line, whole numbers, fraction, determine, selected
Language Strategies
Vocabulary Words
Academic
arrange, determine, selected
Content
order, number line, whole numbers, fraction
Support
Multiple-Meaning
Vocabulary
Strategy
Synonym
arrange, selected
Definition
order, number line, whole numbers, fraction, determine
Homophone
Internal Context Clue
Listen, Speak
Read
Write
Similar Sounds
Tracked Reading
Decoding Rules
Writing
Content Access Strategies
Comprehensible
Input
Cognates
Graphic Organizer
Contextual Clues
Contextualized
Definitions
Pictures
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.
Blank Page
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
6th Grade Number Sense 1.1 (3Q)
Compare and order positive and negative fractions, decimals, and
mixed numbers and place them on a number line.
Lesson to be used by EDI-trained teachers only.