Fractions on a Number Line - St. Gregory the Great ...

1 467A Chapter 8 About the MathProfessional DevelopmentLESSON AT A GLANCEP rofessional Development VideosTeaching for DepthIn this lesson, students will be introduced to using a Number line to represent Number line is a measurement model. Fractions on a Number line represent the distance from 0 to the location marked on the Number line. So, if the distance from 0 to 1 is partitioned into 4 equal increments, the third mark represents 3 _ 4 because it is 3 _ 4 of the distance from 0 to 1. It may help if students visualize the distance between 0 and 1 as the whole and see the length between the tick marks as fractional on a Number LineLESSON point represents the fraction 3 _ 4.

2 (+()*+(++''+Learning ObjectiveRepresent and locate Fractions on a Number ObjectiveStudents use the sequence words first, next, then, and finally to explain how you can represent and locate Fractions on a Number , Fraction Strips (see eTeacher Resources), color pencilsFCR Focus:Common Core State a fraction 1/b on a Number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the Number 1/b on the Number Represent a fraction a/b on a Number line diagram by marking off a lengths 1/b from 0. Recognize the resulting interval has size a/b and that its endpoint locates the Number a/b on the Number PRACTICESMP1 Make sense of problems and persevere in solving them.))

3 MP4 Model with Look for and make use of Coherence:Standards Across the Rigor:Level 1: Understand and Show ( Checked Items)Level 2: Procedural Skills and Your OwnLevel 3: Smarter and Go DeeperFCR For more about how GO Math! fosters Coherence within the Content Standards and Mathematical Progressions for this chapter, see page COHERENCE RIGOR ENGAGE1 Daily RoutinesCommon CoreLesson can you represent and locate Fractions on a Number line?Fluency BuilderDivision Facts Write the following division problems on the board. Have students practice their division facts by solving each problem. Then have students check each answer by writing a related multiplication 3 9; 3 9 = 27 35 7 5; 7 5 = 3540 4 10; 4 10 = 40 18 3 6; 3 6 = 1816 2 8; 2 8 = 16 24 6 4; 4 6 = 2456 8 7; 8 7 = 56 18 9 2; 9 2 = 18 Problem of the Day ordered a pizza.

4 It was divided into 8 equal slices. His brother ate 1 slice. How much of the pizza did his brother eat? Vocabularywith the Interactive Student EditionEssential QuestionHow can you represent and locate Fractions on a Number line?Making ConnectionsInvite students to talk about farms. Pose the following you ever been to a farm where they grow a crop? What types of food did they grow on the farm? Where do farmers sell their crops?Learning ActivityConnect the story to the problem. What information are you given in this story? The potatoes are 1 _ 4 of the way to the vegetable stand. The onions are 3 _ 4 of the way to the vegetable stand.

5 When might you use a fraction to describe a distance? on a family tripLiteracy and MathematicsYou may choose one or both of the following activities. Ask students to describe how displaying the Fractions on a Number line helps them determine the distances between the stops. Have students use rulers to draw Number lines that represent day trips they would like to take. Have them mark and label six places of interest they d like to visit or see at equal distances apart on their Number lines. Invite students to share their Number lines with the class. Then have the students write a short story about what they would do on one of those day eighth; 1 _ 8 Common Core Fluency Standard Interactive Student Edition Multimedia Glossary eEXPLORE2 HandsOn0626365666A01B1616161616160 of 3equal lengths01332313031313131 of 3equal lengths2 of 3equal lengths3 of 3equal lengths01141414140444142434 Name 2.

6 Point A 3. point B Write the fraction that names the point. 1. Complete the Number line. Draw a point to show 2 __ 4 . Fractions on a Number LineUse the fraction strips to help name the points on the Number a point to show 1 _ 3 .Step 1 The denominator is 3, so use fraction strips for thirds. Place the fraction strips above the Number line. Use the fraction strips to divide the Number line into three equal 2 Label each mark on the Number line. Think: The distance between each mark is 1 _ 3 of the total distance, so count the Number of 1 _ 3 3 Draw a point on the Number line to show 1 _ 3.

7 Lesson 4 _ 6 1 _ 6 8-13 ReteachChapter Resources Houghton Mifflin Harcourt Publishing Company084878 AECBFD01 Name Fraction FindWrite a fraction that names the shaded part of each whole. Then locate the fraction on the Number line below. Write the letter of the model that represents the fraction. A. B. C. D. E. F. Lesson 8 _ 8 2 _ 8 5 _ 8 1 _ 8 6 _ 8 3 _ 8 8-14 EnrichChapter Resources Houghton Mifflin Harcourt Publishing Company1G1G242434044414141414 Billy s House0 Grandma s House1 Unlock the ProblemUnlock the ProblemName Houghton Mifflin Harcourt Publishing CompanyChapter 8 467 Activity Locate Fractions on a Number fraction stripsBilly s family is traveling from his house to his grandma s house.

8 They stop at gas stations when they are 1 _ 4 and 3 _ 4 of the way there. How can you represent those distances on a Number line?You can use a Number line to show Fractions . The length from one whole Number to the next whole Number represents one whole. The line can be divided into any Number of equal parts, or 1 Divide the line into four equal lengths, or fourths. Place four 1 _ 4 -fraction strips end-to-end above the line to 2 At the end of each strip, draw a mark on the 3 Count the fourths from zero to 1 to label the distances from 4 Think: 1 _ 4 is 1 out of 4 equal lengths. Draw a point at 1 _ 4 to represent the distance from 0 to 1 _ 4.

9 Label the point 5 Think: 3 _ 4 is 3 out of 4 equal lengths. Draw a point at 3 _ 4 to represent the distance from 0 to 3 _ 4 . Label the point point on a Number line shows the endpoint of a length, or distance, from zero. A Number or fraction can name the distance. Fractions on a Number LineEssential Question How can you represent and locate Fractions on a Number line?HandsOnNumber and Operations Fractions , Also PRACTICESMP1, MP4, MP7 DifferentiatedInstruction123467 Chapter Represent a fraction 1/b on a Number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts.

10 Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the Number 1/b on the Number line. Represent a fraction a /b on a Number line diagram by marking off a lengths 1/b from 0. Recognize the resulting interval has size a/b and that its endpoint locates the Number a/b on the Number the Problem MATHEMATICAL PRACTICESMP1 Make sense of problems and persevere in solving them. Make sure that students understand that the Number line represents the complete trip in the problem. What does way mean? the total distance to Billy s grandma s house What does of the mean? part of the total distance One gas station is 1 __ 4 of the way.