ALEX Learning Activity

  

Connecting Multiplication and Division: Part III

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  This learning activity provided by:  
Author: Stephanie Carver
System:Cullman City
School:Cullman City Board Of Education
  General Activity Information  
Activity ID: 2914
Title:
Connecting Multiplication and Division: Part III
Digital Tool/Resource:
Connecting Multiplication and Division Assessment
Web Address – URL:
Overview:

This activity should be used as extra practice or an assessment after students have been introduced to the relationship between multiplication and division. Students will find the fact family for a given array and then solve a word problem where they must write the multiplication and division equation that represents the problem. 

  Associated Standards and Objectives  
Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 3
3. Solve word situations using multiplication and division within 100 involving equal groups, arrays, and measurement quantities; represent the situation using models, drawings, and equations with a symbol for the unknown number.

Unpacked Content
Evidence Of Student Attainment:
Students:
When given a variety of word problems involving multiplication and division within 100,
  • Write and evaluate multiplication and division expressions to represent the word situation.
  • Explain and justify solutions using a variety of representations (equal groups, arrays, area models, number lines, tape diagrams).
  • Use the relationship between multiplication and division to write equations with an unknown factor.
Teacher Vocabulary:
  • Equal groups
  • Arrays
  • Measurement division
  • Factor
  • Product
  • Quotient
  • Partitive division
  • Represent
  • Unknown
Knowledge:
Students know:
  • Multiplication situations can be related to division contexts by identifying the total number of groups and the number of items in a group.
  • Strategies to solve problems involving multiplication and division.
Skills:
Students are able to:
  • Use models, drawings, and equations to represent a multiplication or division situation.
  • Use symbols to represent unknown quantities in equations.
  • Solve word situations with multiplication and division within 100 involving equal groups, arrays, and measurement quantities.
Understanding:
Students understand that:
  • a word problem with an unknown product is a multiplication problem, and a word problem with an unknown number of groups or an unknown group size can be thought of as a division problem or a multiplication problem with an unknown factor.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.3.3.1: Demonstrate computational understanding of multiplication and division by solving authentic problems with multiple representations using drawings, words, and/or numbers.
M.3.3.2: Identify key vocabulary words to solve multiplication and division word problems.
M.3.3.3: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.
M.3.3.4: Recall basic multiplication facts.
M.3.3.5: Add and subtract within 20.
M.3.3.6: Represent repeated addition, subtraction, and equal groups using manipulatives.

Prior Knowledge Skills:
  • Define pair, odd and even.
  • Recall doubles addition facts with sums to 20.
  • Apply signs + and = to actions of joining sets.
  • Model written method for composing equations.
  • Skip count by 2s.
  • Represent addition and subtraction with objects, pictures, fingers, or sounds within twenty.
  • Understand addition as putting together and subtraction as taking from.
  • Establish one-to-one correspondence between numbers and objects.
  • Rote count to 20.
  • Notice same/different and some/all.
  • Establish one-to-one correspondence between numbers and objects.
  • Point to matching or similar objects.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.3 Use strategies (arrays, equal groups, manipulatives, etc.) to model multiplication and division equations to find an unknown number.


Learning Objectives:

Students will solve problems using multiplication and division involving arrays. 

Students will represent a problem using equations with a symbol for the unknown number.

  Strategies, Preparations and Variations  
Phase:
After/Explain/Elaborate
Activity:

Students will use the Connecting Multiplication and Division Assessment sheet to find the fact family for a given array. After completing this task, the students will solve a word problem where they must write a multiplication and division equation that represents the problem. This activity may be done independently or with partners. It can be used as an assessment or extra practice.

Assessment Strategies:

The activity sheet Connecting Multiplication and Division Assessment will be taken as an assessment. 


Advanced Preparation:

Each student will need a copy of the Connecting Multiplication and Division Assessment.

Variation Tips (optional):
 
Notes or Recommendations (optional):

This activity can stand alone or be used as an After/Explain/Elaborate activity for the following learning activities:

Arranging Desks: Multiplication and Division Part I (Before activity)

Music Concert: Multiplication and Division Part II  (During activity)

  Keywords and Search Tags  
Keywords and Search Tags: array, division, multiplication, unknown