# ALEX Lesson Plan

## Fractions on a Number Line

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This lesson provided by:
 Author: Scott McKinnon System: Florence City School: Harlan Elementary School
General Lesson Information
 Lesson Plan ID: 26348 Title: Fractions on a Number Line Overview/Annotation: As students master the concept of the number line, they may be curious about where fractions would fit on a standard number line. Students will work cooperatively to explore the possibilities where fractions lie on number lines. Students will also work independently to extend and enrich their new knowledge of fractions on number lines.This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Associated Standards and Objectives
Content Standard(s):
 MA2015 (3) 15. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3-NF3] a. Understand two fractions as equivalent (equal) if they are the same size or the same point on a number line. [3-NF3a] b. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model. [3-NF3b] c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. [3-NF3c] Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram. d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. [3-NF3d] MA2015 (4) 12. Explain why a fraction a/b is equivalent to a fraction nxa/nxb by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4-NF1]

Local/National Standards:

* develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers;

Primary Learning Objective(s):

The students will identify fractions on a number line.

The students will create posters with fractions shown on number lines.

Preparation Information
 Total Duration: 61 to 90 Minutes Materials and Resources: 3. Blank KWL Chart (Need 2 copies)4. Blank Fraction Number Lines (see attachments)5. Chart Paper7. Classroom set of rulers Technology Resources Needed: 1. Document camera2. LCD Projector3. Computers with Internet access4. Plug-ins via Help section of ALEX Background/Preparation: Teacher preparation - The teacher needs to be familiar with Internet activities #1-3, listed in the Extension section of this lesson plan. The teacher needs to print 2 KWL charts (one for number lines, one for fractions). Each student will need one copy of each KWL chart. The teacher needs to generate four number lines (0-10 by 1's, 0-20 by 2's, 0-50 by 5's, and 0-100 by 10's) on the number line generator listed in the materials section. These are for display purposes (via LCD projector). The teacher needs to print one copy of blank fraction number lines per student (see attachments). The teacher needs to print one copy of black line fraction strips per pair. The teacher should have previously grouped students in pairs (shoulder partners, A/B partners, etc).Student preparation - The students should have background knowledge on number lines, skip counting, and fractions (numerator, denominator, parts of the whole, etc). The students will need general computer skills for extension activities located on the Internet. The students should have background knowledge of measurement and rulers.
Procedures/Activities: