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DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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. Learning Objective Name __________________________ Today, we will order fractions and mixed numbers on a number line. CFU What are we going to do today? Activate (or provide) Prior Knowledge CFU Students, you already know how to compare mixed numbers. Today, we are going to order fractions and mixed numbers on a number line. Compare numbers. Hint: Use, or = > 1. < 2. Whole number Numerator Denominator Mixed Number 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.

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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 Ordering Fractions and Mixed Numbers on a Number Line 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. To order numbers is to arrange 1 them from least to greatest or greatest to least. 1 organize 01 2 3 4 -2 -3-4 Least to GreatestGreatest to Least, 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? AB In your own words, how do you order numbers? To order numbers _______________. Negative Numbers Use the (  ) sign. 0 1 2 3 -2-3

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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 Step #1: Place each fraction or mixed number on the number line one at a time. (label) a. Read each number aloud. b. Determine 2 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 3 equal parts. Step #2: Order the numbers using the number line. 2 figure out 3 chosen 0 123 4 2. 1. Order fractions and mixed numbers on a number line. 0 123 4 To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the (  ) sign. Order from least to greatest ________________ Order from greatest to least ________________ Order from least to greatest ________________ 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 (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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. Order from greatest to least ________________ Skill Development/Guided Practice (continued) 4. 0 123 4 -4 -3-2 3. 0 123 4 -4 -3-2 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. Order fractions and mixed numbers on a number line. To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the (  ) sign. 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? Order from least to greatest ________________

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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. Mary ate more pies than John. MaryJohn < 1. Ordering fractions and mixed numbers will help you compare quantities. Relevance 2. Ordering fractions and mixed numbers will help you do well on tests. John and Mary are in a pie-eating contest. John ate pies and Mary ate pies. Who won the contest? To order numbers is to arrange them from least to greatest or greatest to least. 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?

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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. Summary Closure What did you learn today about ordering fractions and mixed numbers on a number line? Day 1 __________________________________________________________________________________________________ _______________________________________________________________________________________________________ Day 2 __________________________________________________________________________________________________ _______________________________________________________________________________________________________ Skill Closure 1. 0 123 4 To order numbers is to arrange them from least to greatest or greatest to least. 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. Order fractions and mixed numbers on a number line. Negative Numbers Use the (  ) sign. Order from greatest to least ________________ Order from least to greatest ________________ 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. ___________________________________________________________________ _________________________________________________________________

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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. Order from greatest to least ________________ Order from least to greatest ________________ Independent Practice 0 123 4 2. 1. 0 123 4 Name __________________________ 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. Order fractions and mixed numbers on a number line. To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the (  ) sign.

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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. Order from greatest to least ________________ Order from least to greatest ________________ 0 123 4 -4 -3-2 0 123 4 -4 -3-2 Independent Practice (continued) 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. Order fractions and mixed numbers on a number line. To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the (  ) sign. 4. 3.

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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. 01 2 3 4 -2 -3-401 2 3 4 -2 -3-4 Periodic Review 1 1. 2. Name __________________________ 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. Order fractions and mixed numbers on a number line. To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the (  ) sign. Order from greatest to least ________________ Order from least to greatest ________________

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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. Order from greatest to least ________________ Order from least to greatest ________________ 0 123 4 -4 -3-2 0 123 4 -4 -3-2 Periodic Review 1 (continued) 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. Order fractions and mixed numbers on a number line. To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the (  ) sign. 3. 4.

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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. 01 2 3 4 -2 -3-401 2 3 4 -2 -3-4 1. 2. Periodic Review 2 Name __________________________ 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. Order fractions and mixed numbers on a number line. To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the (  ) sign. Order from greatest to least ________________ Order from least to greatest ________________

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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. Order from greatest to least ________________ Order from least to greatest ________________ 0 123 4 -4 -3-2 0 123 4 -4 -3-2 Periodic Review 2 (continued) 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. Order fractions and mixed numbers on a number line. To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the (  ) sign. 3. 4.

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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. 01 2 3 4 -2 -3-401 2 3 4 -2 -3-4 1. 2. Periodic Review 3 Name __________________________ 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. Order fractions and mixed numbers on a number line. To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the (  ) sign. Order from greatest to least ________________ Order from least to greatest ________________

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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. 0 123 4 -4 -3-2 0 123 4 -4 -3-2 Periodic Review 3 (continued) 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. Order fractions and mixed numbers on a number line. To order numbers is to arrange them from least to greatest or greatest to least. Negative Numbers Use the (  ) sign. Order from greatest to least ________________ Order from least to greatest ________________ 3. 4.

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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. Learning Objective : Today, we will order fractions and mixed numbers on a number line. Cognitive StrategiesTeaching Strategies ElaborationDemonstration 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 Vocabulary Strategy Multiple-Meaning Synonym arrange, selected Definition order, number line, whole numbers, fraction, determine Homophone Internal Context Clue Listen, SpeakSimilar Sounds Read Tracked Reading Decoding Rules Write Writing Content Access Strategies Comprehensible Input Cognates Contextual Clues Graphic Organizer Contextualized Definitions Pictures EDI – Cognitive, Teaching and English Learners Strategies

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th 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