1. 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. Today, we will compare fractions and decimal numbers. CFU Students, you already know how to represent fractions as decimals. Today, we will use our knowledge of these equal amounts to compare fractions to decimal numbers. Activate (or provide) Prior Knowledge Name _______________________ Learning Objective CFU What are we going to do today? Represent these fractions as decimals. A decimal number and a fraction both represent part of a whole. A fraction can be changed into a decimal number using long division. 1.2.

2. 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 To compare numbers means to determine 1 whether a number is less than, greater than, or equal to another number. To compare fractions and decimal numbers, change the fraction to a decimal number. To compare decimal numbers, line up the decimal numbers by place value. o Compare the digits 2 from left to right. o The same digit in the same place value has equal value. o The greater digit in the same place value has a greater value. 1 figure out 2 numbers 0 to 9 Comparing Fractions and Decimal Numbers 0.78 3 4 > 3 4 0.75= 08 05 7 7 CFU Which long division problem shows how to change the fraction into a decimal number? How do you know? 2 5 A B If the fraction changed into a decimal number is 0.40, which comparison is true? How do you know? 2 5 2 5 < 0.45 2 5 > A B Comparison Symbols < > = less than greater than equal to Decimal Point Hundredths Tenths Ones Place Value

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: Change the fraction to a decimal number. Hint: Use long division. Step #2: Line up the decimal numbers by place value. Step #3: Compare each digit starting from the left. a. If the digits have the same value, move to the place value to the right. b. If the digits have different value, determine which digit has the greater value. Step #4: Complete the number sentence. Hint: Write the correct comparison symbol. CFU (#1) How did I/you change the fraction to a decimal number? (#3) How did I/you compare each digit? (#4) How did I/you complete the number sentence? Compare fractions and decimal numbers. To compare numbers means to determine whether a number is less than, greater than, or equal to another number. To compare fractions and decimal numbers, change the fraction to a decimal number. Comparison Symbols < > = less than greater than equal to 0.75 3 4 Fraction to Decimal 0.73 1. 0 3 7 0 0 7 > 0.36 2. 0 6 3 0 0 3 > 0.77 3. 0 7 7 0 0 8 < 0.18 4. 0 8 1 0 0 2 <

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. Skill Development/Guided Practice (continued) Step #1: Change the fraction to a decimal number. Hint: Use long division. Step #2: Line up the decimal numbers by place value. Step #3: Compare each digit starting from the left. a. If the digits have the same value, move to the place value to the right. b. If the digits have different value, determine which digit has the greater value. Step #4: Complete the number sentence. Hint: Write the correct comparison symbol. CFU (#1) How did I/you change the fraction to a decimal number? (#3) How did I/you compare each digit? (#4) How did I/you complete the number sentence? Compare fractions and decimal numbers. To compare numbers means to determine whether a number is less than, greater than, or equal to another number. To compare fractions and decimal numbers, change the fraction to a decimal number. Comparison Symbols < > = less than greater than equal to 0.75 3 4 Fraction to Decimal 0.25 5. 0 5 2 0 5 2 = 0.4 6. 04 04 = 0.65 7. > 0 5 6 0 0 6 0.49 8. > 0 9 4 0 7 4

5. 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. 1. Comparing fraction and decimal numbers will help you compare amounts in the real world. CFU Does anyone else have another reason why it is relevant to compare fractions and decimal numbers? (pair-share) Why is it relevant to compare fractions and decimal numbers? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? 2. Comparing fractions and decimal numbers will help you do well on tests. Relevance To compare numbers means to determine whether a number is less than, greater than, or equal to another number. To compare fractions and decimal numbers, change the fraction to a decimal number. Alfredo is comparing the price of bananas to apples. Apples are a half dollar each and bananas are $0.25 each. $0.50 each $0.25 each Alfredo knows that the bananas are cheaper than the apples.

6. 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 Closure Step #1: Change the fraction to a decimal number. Hint: Use long division. Step #2: Line up the decimal numbers by place value. Step #3: Compare each digit starting from the left. a. If the digits have the same value, move to the place value to the right. b. If the digits have different value, determine which digit has the greater value. Step #4: Complete the number sentence. Hint: Write the correct comparison symbol. Compare fractions and decimal numbers. To compare numbers means to determine whether a number is less than, greater than, or equal to another number. To compare fractions and decimal numbers, change the fraction to a decimal number. Comparison Symbols < > = less than greater than equal to 0.75 3 4 Fraction to Decimal 0.92 1. 0 2 9 0 0 9 > 0.56 2. 0 6 5 0 0 6 < Constructed Response Closure Christian and Naomi are comparing fractions and decimal numbers. Christian claims that is less than 0.35. Naomi believes is greater than 0.35. Whom do you agree with? Explain your answer. 4 10 4 Summary Closure What did you learn today about comparing fractions and decimal numbers? Day 1 _______________________________________________________ Day 2 _______________________________________________________ Christian’s Work Naomi's Work 4 10 0.4 = 4 10 0.4 = 04 035 035 04

7. 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. Independent Practice 1. 2. 0.40 0.77 3. 0.37 4. 0.39 5. 0.25 6. 0.21 Compare fractions and decimal numbers. Step #1: Change the fraction to a decimal number. Hint: Use long division. Step #2: Line up the decimal numbers by place value. Step #3: Compare each digit starting from the left. a. If the digits have the same value, move to the place value to the right. b. If the digits have different value, determine which digit has the greater value. Step #4: Complete the number sentence. Hint: Write the correct comparison symbol. Comparison Symbols < > = less than greater than equal to 0.75 3 4 Fraction to Decimal To compare numbers means to determine whether a number is less than, greater than, or equal to another number. To compare fractions and decimal numbers, change the fraction to a decimal number. 0 1 2 0 0 2 > 0 0 4 0 0 4 = > 0 7 7 0 4 7 = 0 7 3 0 7 3 03 0 4 < 9 0 5 2 0 5 2 = Name _______________________

8. 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. Periodic Review 1 1. 2. 0.90 0.24 3. 0.81 4. 0.50 5. 0.36 6. 0.67 Compare fractions and decimal numbers. Step #1: Change the fraction to a decimal number. Hint: Use long division. Step #2: Line up the decimal numbers by place value. Step #3: Compare each digit starting from the left. a. If the digits have the same value, move to the place value to the right. b. If the digits have different value, determine which digit has the greater value. Step #4: Complete the number sentence. Hint: Write the correct comparison symbol. Comparison Symbols < > = less than greater than equal to 0.75 3 4 Fraction to Decimal To compare numbers means to determine whether a number is less than, greater than, or equal to another number. To compare fractions and decimal numbers, change the fraction to a decimal number. 0 7 6 0 0 6 > 09 09 = > 0 42 0 2 2 = 0 1 8 0 1 8 05 0 5 = 0 6 3 04 < Name _______________________

9. 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. Periodic Review 2 1. 2. 0.70 0.29 3. 0.55 4. 0.80 5. 0.61 6. 0.04 Step #1: Change the fraction to a decimal number. Hint: Use long division. Step #2: Line up the decimal numbers by place value. Step #3: Compare each digit starting from the left. a. If the digits have the same value, move to the place value to the right. b. If the digits have different value, determine which digit has the greater value. Step #4: Complete the number sentence. Hint: Write the correct comparison symbol. 0 4 0 0 3 < 0 0 7 0 0 7 = > 0 9 2 0 8 2 = 0 5 5 0 5 5 08 0 8 = 0 1 6 06 > Name _______________________ Compare fractions and decimal numbers. Comparison Symbols < > = less than greater than equal to 0.75 3 4 Fraction to Decimal To compare numbers means to determine whether a number is less than, greater than, or equal to another number. To compare fractions and decimal numbers, change the fraction to a decimal number.

10. 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. Periodic Review 3 1. 2. 0.80 0.19 3. 0.87 4. 0.35 5. 0.56 6. 0.06 Step #1: Change the fraction to a decimal number. Hint: Use long division. Step #2: Line up the decimal numbers by place value. Step #3: Compare each digit starting from the left. a. If the digits have the same value, move to the place value to the right. b. If the digits have different value, determine which digit has the greater value. Step #4: Complete the number sentence. Hint: Write the correct comparison symbol. 0 6 0 0 5 0 > 0 0 8 0 0 8 =< 0 9 1 0 3 2 = 0 7 8 0 7 8 0 3 0 3 = 5 5 0 5 0 5 > 6 5 Compare fractions and decimal numbers. Comparison Symbols < > = less than greater than equal to 0.75 3 4 Fraction to Decimal To compare numbers means to determine whether a number is less than, greater than, or equal to another number. To compare fractions and decimal numbers, change the fraction to a decimal number. Name _______________________

11. 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: compare numbers, determine, digits Language Strategies Vocabulary Words Academic determine, digits Content compare numbers Support Vocabulary Strategy Multiple-Meaning Synonym Definition compare numbers, determine, digits 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

12. 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