Today, we will identify1 fractions on a number line. Learning Objective Name _______________________ Today, we will identify1 fractions on a number line. 1 locate CFU What are we going to do today? What does identify mean? Activate (or provide) Prior Knowledge Simplify each fraction to lowest terms. 1. 2. Create equivalent fractions. 3. 4. = = CFU Teacher completes problems #1 and #3. Students complete problems #2 and #4. Students, you already know how to simplify fractions and that there is more than one way to represent fractions. Today, we will use our knowledge of representing fractions to identify their location on a number line. DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

The numerator is the part of the whole or set of things. Concept Development A fraction is a number that describes a part of a whole or part of a set. The numerator is the part of the whole or set of things. The denominator is the total number of sections. CFU Which of the two number lines from 0 to 1 below can be used to identify ? How do you know? Parts Numerator A. 1 Sections Denominator B. 1 A number line shows the order of numbers based on their value. Example: The fraction shown on a number line from 0 to 1 Fill in the values of each tick mark on the number line for answer A above. 4 sections between 0 and 1 Remember, Use your whiteboard insert to help answer the following question. Which fractions could represent the location of point D on the number line? Distance from 0 to 1 D 1 Location 1 Sections A. B. C. 1 whole How did you know the fraction matched point D? In your own words, what is a number line? A number line is _________. DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

Skill Development/Guided Practice A fraction is a number that describes a part of a whole or set. The numerator is the part of the whole or set of things. The denominator is the total number of sections. A number line shows the order of numbers based on their value. 1 6 sections location sections Identify fractions on a number line. Step #1: Read the question carefully. Step #2: Verify2 that the number of sections on the number line from 0 to 1 match the denominator value. a. If the number of sections is different than the denominator, create an equivalent fraction with a matching denominator. Step #3: Identify the location of a point on a number line using the numerator. Step #4: Circle the correct answer. 2 check to be sure it is true A ● B ● C ● D ● 1 2. Which point shows the location of on the number line? 1. Which point shows the location of on the number line? 4 sections 4 sections Point A Point B Point C Point D Point A Point B Point C Point D E ● F ● G ● H ● 1 x 2 x 2 3. Which point shows the location of on the number line? 4. Which point shows the location of on the number line? 6 6 sections 4 6 6 sections 2 Point E Point F Point G Point H Point E Point F Point G Point H x 2 x 2 CFU Why did I count the sections and compare that number to the denominator of my fraction? Why was it sometimes necessary to create an equivalent fraction? How did I use the numerator to locate the fraction on the number line? Why did you count the sections and compare that number to the denominator of your fraction? Why was it sometimes necessary to create an equivalent fraction? How did you use the numerator to locate the fraction on the number line? DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

Skill Development/Guided Practice (continued) A fraction is a number that describes a part of a whole or set. The numerator is the part of the whole or set of things. The denominator is the total number of sections. A number line shows the order of numbers based on their value. 1 6 sections location sections Identify fractions on a number line. Step #1: Read the question carefully. Step #2: Verify that the number of sections on the number line from 0 to 1 match the denominator value. a. If the number of sections is different than the denominator, create an equivalent fraction with a matching denominator. Step #3: Identify the location of a point on a number line using the numerator. Step #4: Circle the correct answer. W ● X ● Y ● Z ● 5. Which point is located between and ? 6. Which point is located between and ? 5 sections 5 sections Point W Point X Point Y Point Z Point W Point X Point Y Point Z P ● Q ● R ● S ● x 2 x 2 7. Which point is located between and ? 6 8. Which point is located between and ? 2 8 8 sections 8 8 sections Point P Point Q Point R Point S Point P Point Q Point R Point S x 2 x 2 CFU Why did I count the sections and compare that number to the denominator of my fraction? Why was it sometimes necessary to create an equivalent fraction? How did I use the numerator to locate the fraction on the number line? Why did you count the sections and compare that number to the denominator of your fraction? Why was it sometimes necessary to create an equivalent fraction? How did you use the numerator to locate the fraction on the number line? DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

2. Identifying fractions will help you do well on tests. inches Importance A fraction is a number that describes a part of a whole or set. The numerator is the part of the whole or set of things. The denominator is the total number of sections. A number line shows the order of numbers based on their value. 1. Identifying fractions will help you read rulers and yardsticks to make accurate measurements. Tabitha wanted to measure the width of this number cube. Shown below is a close-up of the measurement she took. Which fraction is closest to the width of the number cube? 2. Identifying fractions will help you do well on tests. inches The width of the number cube is an inch. CFU Does anyone else have another reason why it is important to identify fractions on a number line? (pair-share) Why is it important to identify fractions on a number line? You may give one of my reasons or one of your own. Which reason is more important to you? Why? DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

Closure 1. In your own words, what is a number line? 2. Identify fractions on a number line below. A fraction is a number that describes a part of a whole or set. The numerator is the part of the whole or set of things. The denominator is the total number of sections. A number line shows the order of numbers based on their value. Step #1: Read the question carefully. Step #2: Verify that the number of sections on the number line from 0 to 1 match the denominator value. a. If the number of sections is different than the denominator, create an equivalent fraction with a matching denominator. Step #3: Identify the location of a point on a number line using the numerator. Step #4: Circle the correct answer . P ● Q ● R ● S ● What did you learn today about identify fractions on a number line? Day 1 ______________________ _______________________________________________________________________________________________________________________________________ Day 2 ______________________ 1 1. Which point shows the location of on the number line? 8 sections Point P Point Q Point R Point S x 4 2. Which point shows the location of on the number line? 8 8 sections 4 Point P Point Q Point R Point S x 4 DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

Independent Practice A fraction is a number that describes a part of a whole or set. The numerator is the part of the whole or set of things. The denominator is the total number of sections. A number line shows the order of numbers based on their value. 1 6 sections location sections Identify fractions on a number line. Step #1: Read the question carefully. Step #2: Verify that the number of sections on the number line from 0 to 1 match the denominator value. a. If the number of sections is different than the denominator, create an equivalent fraction with a matching denominator. Step #3: Identify the location of a point on a number line using the numerator. Step #4: Circle the correct answer. W ● X ● Y ● Z ● 1 2. Which point shows the location of on the number line? 1. Which point shows the location of on the number line? 5 sections 5 sections Point W Point X Point Y Point Z Point W Point X Point Y Point Z P ● Q ● R ● S ● 1 3. Which point shows the location of on the number line? 4. Which point shows the location of on the number line? x 2 x 2 8 sections 8 6 8 8 sections 2 Point P Point Q Point R Point S Point P Point Q Point R Point S x 2 x 2 DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

Independent Practice (continued) A fraction is a number that describes a part of a whole or set. The numerator is the part of the whole or set of things. The denominator is the total number of sections. A number line shows the order of numbers based on their value. 1 6 sections location sections Identify fractions on a number line. Step #1: Read the question carefully. Step #2: Verify that the number of sections on the number line from 0 to 1 match the denominator value. a. If the number of sections is different than the denominator, create an equivalent fraction with a matching denominator. Step #3: Identify the location of a point on a number line using the numerator. Step #4: Circle the correct answer. W ● X ● Y ● Z ● 1 5. Which point is located between and ? 6. Which point is located between and ? Point W Point X Point Y Point Z 5 sections Point W Point X Point Y Point Z 5 sections P ● Q ● R ● S ● 1 7. Which point is located between and ? 8. Which point is located between and ? x 2 x 4 8 8 sections 2 8 sections 8 4 Point P Point Q Point R Point S Point P Point Q Point R Point S x 2 x 4 DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

Periodic Review 1 A fraction is a number that describes a part of a whole or set. The numerator is the part of the whole or set of things. The denominator is the total number of sections. A number line shows the order of numbers based on their value. 1 6 sections location sections Identify fractions on a number line. Step #1: Read the question carefully. Step #2: Verify that the number of sections on the number line from 0 to 1 match the denominator value. a. If the number of sections is different than the denominator, create an equivalent fraction with a matching denominator. Step #3: Identify the location of a point on a number line using the numerator. Step #4: Circle the correct answer. A ● B ● C ● D ● 1 2. Which point shows the location of on the number line? 1. Which point shows the location of on the number line? 10 sections 10 sections Point A Point B Point C Point D Point A Point B Point C Point D E ● F ● G ● H ● 1 3. Which point shows the location of on the number line? 4. Which point shows the location of on the number line? x 3 x 4 12 sections 12 4 12 12 sections 9 Point E Point F Point G Point H Point E Point F Point G Point H x 3 x 4 DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

Periodic Review 1 (continued) A fraction is a number that describes a part of a whole or set. The numerator is the part of the whole or set of things. The denominator is the total number of sections. A number line shows the order of numbers based on their value. 1 6 sections location sections Identify fractions on a number line. Step #1: Read the question carefully. Step #2: Verify that the number of sections on the number line from 0 to 1 match the denominator value. a. If the number of sections is different than the denominator, create an equivalent fraction with a matching denominator. Step #3: Identify the location of a point on a number line using the numerator. Step #4: Circle the correct answer. P ● Q ● R ● S ● 1 5. Which point is located between and ? 6. Which point is located between and ? 8 sections 8 sections Point P Point Q Point R Point S Point P Point Q Point R Point S W ● X ● Y ● Z ● 1 7. Which point is located between and ? 8. Which point is located between and ? x 6 x 2 12 sections 12 12 sections 12 6 10 Point W Point X Point Y Point Z Point W Point X Point Y Point Z x 6 x 2 DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

Periodic Review 2 A fraction is a number that describes a part of a whole or set. The numerator is the part of the whole or set of things. The denominator is the total number of sections. A number line shows the order of numbers based on their value. 1 6 sections location sections Identify fractions on a number line. Step #1: Read the question carefully. Step #2: Verify that the number of sections on the number line from 0 to 1 match the denominator value. a. If the number of sections is different than the denominator, create an equivalent fraction with a matching denominator. Step #3: Identify the location of a point on a number line using the numerator. Step #4: Circle the correct answer. A ● B ● C ● D ● 1 1. Which point shows the location of on the number line? 2. Which point shows the location of on the number line? 4 sections 4 sections Point A Point B Point C Point D Point A Point B Point C Point D E ● F ● G ● H ● 1 3. Which point shows the location of on the number line? x 2 4. Which point shows the location of on the number line? x 2 6 6 sections 2 6 sections 6 4 Point E Point F Point G Point H Point E Point F Point G Point H x 2 x 2 DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

Periodic Review 2 (continued) A fraction is a number that describes a part of a whole or set. The numerator is the part of the whole or set of things. The denominator is the total number of sections. A number line shows the order of numbers based on their value. 1 6 sections location sections Identify fractions on a number line. Step #1: Read the question carefully. Step #2: Verify that the number of sections on the number line from 0 to 1 match the denominator value. a. If the number of sections is different than the denominator, create an equivalent fraction with a matching denominator. Step #3: Identify the location of a point on a number line using the numerator. Step #4: Circle the correct answer. P ● Q ● R ● S ● 1 5. Which point is located between and ? 6. Which point is located between and ? 9 sections 9 sections Point P Point Q Point R Point S Point P Point Q Point R Point S W ● X ● Y ● Z ● 1 7. Which point is located between and ? x 4 8. Which point is located between and ? x 8 16 16 sections 16 sections 16 8 12 Point W Point X Point Y Point Z Point W Point X Point Y Point Z x 4 x 8 DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

Periodic Review 3 A fraction is a number that describes a part of a whole or set. The numerator is the part of the whole or set of things. The denominator is the total number of sections. A number line shows the order of numbers based on their value. 1 6 sections location sections Identify fractions on a number line. Step #1: Read the question carefully. Step #2: Verify that the number of sections on the number line from 0 to 1 match the denominator value. a. If the number of sections is different than the denominator, create an equivalent fraction with a matching denominator. Step #3: Identify the location of a point on a number line using the numerator. Step #4: Circle the correct answer. A ● B ● C ● D ● 1 2. Which point shows the location of on the number line? 1. Which point shows the location of on the number line? 10 sections 10 sections Point A Point B Point C Point D Point A Point B Point C Point D E ● F ● G ● H ● 1 3. Which point shows the location of on the number line? 4. Which point shows the location of on the number line? x 4 x 6 12 sections 12 6 12 12 sections 8 Point E Point F Point G Point H Point E Point F Point G Point H x 4 x 6 DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

Periodic Review 3 (continued) A fraction is a number that describes a part of a whole or set. The numerator is the part of the whole or set of things. The denominator is the total number of sections. A number line shows the order of numbers based on their value. 1 6 sections location sections Identify fractions on a number line. Step #1: Read the question carefully. Step #2: Verify that the number of sections on the number line from 0 to 1 match the denominator value. a. If the number of sections is different than the denominator, create an equivalent fraction with a matching denominator. Step #3: Identify the location of a point on a number line using the numerator. Step #4: Circle the correct answer. P ● Q ● R ● S ● 1 5. Which point is located between and ? 6. Which point is located between and ? 8 sections 8 sections Point P Point Q Point R Point S Point P Point Q Point R Point S W ● X ● Y ● Z ● x 2 2 1 7. Which point is located between and ? 8. Which point is located between and ? x 2 x 12 12 sections 12 12 x 3 12 12 sections 12 3 Point W Point X Point Y Point Z Point W Point X Point Y Point Z x 12 x 3 DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

Number Line from 0 to 1 Divided into 4 sections Whiteboard Insert Number Line from 0 to 1 Divided into 4 sections Divided into 6 sections Divided into 8 sections DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 5th Grade Number Sense 1.5 (2Q) Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. Lesson to be used by EDI-trained teachers only.

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