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Factors and Multiples

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Keywords: Factors, Multiples, Arrays, Decompose, Math, Document Camera
Subject(s): Math
Grade 4
NETS-S Standard:
  • Communication and Collaboration
  • Critical Thinking, Problem Solving, and Decision Making
  • Technology Operations and Concepts
View Full Text of Standards
School: Saint Teresa of Calcutta Catholic School, McSherrystown, PA
Planned By: Melissa Guy
Original Author: Melissa Guy, McSherrystown
Lesson Topic: Factors and Multiples

Objectives: Students will be able to: 1. Recognize that a whole number is a multiple of each of its factors; 2. Explain how factors and multiples are related; 3. identify all factor pairs for a given whole number; and 4. Determine whether a given whole number is a multiple of a given one digit number.

Vocabulary: array, factor, multiple, decompose

Procedure: 1. Develop Vocabulary - Elicit students' prior knowledge of the words array and factor. Explain the term "multiple" through the use of skip counting. Explain the term "decompose" by referring to repeated subtraction and its relationship to division. 2. Review - Complete "Problem of the Day" and "Common Core Quick Check". 3. Model/Investigate the Math - Using a document camera, model arrays to discover factors of the number six. List the multiplication sentence for each array. Have students investigate the arrays for the number eight. List the multiplication sentence for each array. Share results. 4. Math in My World - Read and discuss example 1 in textbook. Complete workbook page 173 as the example as discussed. Read and discuss example 2. Study the multiplication table. Complete workbook page 174 sentence as the example is discussed. 5. Guided Practice - Work through the guided practice exercises workbook page 174 together. Ask students to explain how the chart helps them find factors and multiples. 6. Independent Practice - Partner students together to complete the workbook page 175. Move around the room to observe their work. Share/correct answers when they are finished. 7. Assign workbook page 177 for homework.

Resources/Materials/Technology Needed: My Math Grade 4 Volume no. 1 student workbook, white board, dry-erase marker, Promethean Board (with Lesson Presentation slides), classroom teacher computer, pencils for each student, 8 counters per student pair and one document camera to share.

Assessment Materials: 1. Teacher classroom observation while students draw arrays for a particular number. 2. Check My Progress pages. 3. Quiz on factors and multiples.

Information About Students: There is nothing out of the ordinary to watch for in regards to the class/students.

Classroom Observations. Occasionally, there are a few students that tend to be off task or not paying attention.

Teacher Resource Documents: Text "McGraw-Hill My Math" Grade Four Volume 1 Teacher Edition

Written by and Submitted on behalf of: Roberta Hatez, Grade 4 Math, Saint Teresa of Calcutta Catholic School
Written by and Submitted on behalf of: Roberta Hatez, Grade 4 Math, Saint Teresa of Calcutta Catholic School
Cross-Curriculum Ideas
Use of technology while using the document camera.
Materials: Whiteboards, Digital Cameras, Networked Projectors
Other Items: 30 Student Math Workbooks
1 White Board
1 Dry-Erase Marker
1 Promethean Board with presentation slides
1 classroom computer
30 pencils
8 counters
1 Document Camera
1 Teacher Edition Math Book