Illuminations: Multiplication: It's in the Cards

Multiplication: It's in the Cards


Keeping It All Together

By playing card games and using the The Product Game applet, students practice the multiplication facts. As students continue to master their facts, the teacher closely monitors their progress.

Learning Objectives

 
Students will:
  • practice reciting multiplication facts
  • discuss the effects of the commutative property
  • choose strategies to help them learn multiplication facts

Materials

 
Playing cards
Index cards
Rules for Card Games
The Product Game

Instructional Plan

Assign the students to pairs, and ask each student to select three multiplication facts that he or she wants to work on. Have the students cut two triangles from each of two file cards. Demonstrate how to make a triangular flash card by putting the two factors in two of the corners and the product in the other corner. Ask them to make triangle fact cards for the facts they chose, then trade them with their partner. Ask each student to cover the product on one card with his or her thumb, show the card to the other student, and ask him or her to tell the product.

 

 

When the students have had a chance to try all the cards, distribute the Rules for Card Games. Students will then play a new card game, Climb the Ladder.

Next, show the students how to play The Product Game.

The Product Game The Product Game

Initially, you may choose two students to play the game as the rest of the class watches. You may need to call their attention to the oval-shaped markers at the end of the number bar. As students begin to understand the rules for play, other pairs may work together at their computers to play the game.

To conclude the lesson, have students complete their My Multiplication Chart activity sheet. At this point, you should see significant progress in their mastery of multiplication facts.

My Multiplication Chart

Alternatively, or in addition to the above activities, students can work (either individually or in pairs) to review the multiplication facts by using the Concentration activity.

Concentration Activity Concentration Activity

To do so, students should select the mulitplication facts under Levels, and either 1 or 2 players. In this activity, students match the factors with their associated products (shown in various representations explored in this unit.)

Questions for Students

 

What numbers did you say when you skip counted by ___? How can knowing this help you learn the multiplication facts?

What strategies do you use when you set out to learn a multiplication fact?

Assessment Options

 
  1. At this stage of the unit, it is important for students to:

    • Describe the effects of the commutative property
    • Identify the multiplication facts that they can immediately recall
    • Choose strategies to help them learn multiplication facts
  2. Your notes on the students' progress will be helpful as you plan ways to ensure that each student has mastered the multiplication facts. Use the Class Notes recording sheet to document student progress.
  3. Collect the students' My Multiplication Chart activity sheets.

Teacher Reflection

 
  • Which students have only a few multiplication facts left to learn? What activities should I plan for them?
  • What activities are appropriate for students who have several facts left to learn?
  • What adjustments will I make the next time that I teach this lesson?

NCTM Standards and Expectations

 
Number & Operations 3-5
  1. Understand the effects of multiplying and dividing whole numbers.
  2. Understand various meanings of multiplication and division.
  3. Develop fluency in adding, subtracting, multiplying, and dividing whole numbers;
  
1 period   

NCTM Resources

Principles and Standards for School Mathematics

 Activities


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