McGraw-Hill Companies
Lesson Plan
Lesson Plans > Mathematics > Grades 6 - 8 > Modeling Integer Multiplication
[4 votes]
Print this page Save this page E-mail this page
Kinesthetic Learner
Kinesthetic Learner
Visual Learner
Visual Learner
Auditory Learner
Auditory Learner
Technology Integration
Technology Integration

Modeling Integer Multiplication

Multiplying positive and negative integers

 

Grade Level: 6-8

Concept: Multiplying positive and negative integers

Estimated Duration: 40 minutes
 
Objectives
Students will be able to:
  • represent word expressions with positive and negative integers
  • multiply negative and positive integers
Materials
 

Chalkboard

Markers

Worksheet with integer multiplication problems

*White board (Optional)

 
Differentiation Strategies
These strategies are used to meet the varied needs of all learners:
  • for various grade levelsVarying academic levels: uses mixed-ability groups to allow students to learn from one another, uses small- and whole-group discussions to ensure all students participate
  • for visual learnersVisual learners: incorporates visual representations of numerical expressions
  • for auditory learnersAuditory learners: engages students in finding rhymes, stories, and sayings to remind them of integer multiplication rules
  • for kinesthetic learnersKinesthetic learners: engages students in modeling integer multiplication, coming up to the front of the room to share their work
Key Vocabulary

 

Absolute value
Integer
Negative number
Positive number

 

Procedures

Warm Up
  • for visual learners On the board, provide examples of word expressions that can be represented by integers, such as:
  • The Dead Sea is 420 meters below sea-level.
  • The average temperature last week was 7 degrees below zero.
  • Sara works in an office 17 floors above Barbara’s office.
  • for kinesthetic learners Invite students to the board to show how they can use integers to represent the expressions.
 
Direct Instruction
  • for visual learners Write and define the terms integer, negative number, positive number, and absolute value on the board.
  • Ask students to explain how they multiply positive integers.
  • for visual learners On a white board, or a chalk board, write an example such as positive three times negative five on the board.
  • for kinesthetic learners  for visual learnersHave students think about what happens when a negative integer is multiplied by a positive integer. Use a model to guide students, such as:
  • Stan dug a hole 3 feet below ground level. Jan dug a hole that was 3 times as deep.
  • Have students draw Stan’s hole and represent Stan’s hole with an integer.
  • Have students draw Jan’s hole and represent Jan’s hole with an integer.
  • Explain that this example demonstrates that multiplying a negative integer by a positive integer results in a negative integer.
  • for kinesthetic learners Use another model to demonstrate multiplying a negative integer by a positive integer, such as:
  • Jim walked down 15 steps.
  • Then he walk three times as many steps in the opposite direction.
  • Have the students illustrate Jim’s path.
  • Explain that this example demonstrates that multiplying a negative integer by a negative integer results in a positive integer.  
Practice
  • for various grade levels Create mixed-ability pairs.
  • Distribute a worksheet with five or six integer multiplication problems.
  • Have students solve the problems and brainstorm to find word expressions to represent the numerical expressions.
Assessment
  • for auditory learners Invite pairs to share their word expressions with the class and their solutions.
  • for visual learners Invite students to create integer multiplication problems on the board for the class to solve.
Closure
  • for auditory learners Create heterogeneous pairs so that non-English speakers are partnered with English speakers. Have the pairs represent the word expression with integers.
  • Ask the pairs to create a rhyme, a story, an acronym, or a saying to remember that the product of a positive integer by a negative integer is a negative integer and that the product of two negative integers is a positive integer. For example, “the enemy of my enemy is my friend” might illustrate the latter.
  • Have the pairs share their ideas with the class.
Comments (0)
Add Comment
Thank you for participating in the Teaching Today community. Please don't post advertisements, profanity, or personal attacks. Your message must be approved by our staff before it is made public, so your message will not appear immedietaly. Offending messages will be removed. Please review our Terms of Use before posting.
McGraw-Hill Education The McGraw-Hill Companies