ALEX Learning Activity

  

Greatest Product Wins!

A Learning Activity is a strategy a teacher chooses to actively engage students in learning a concept or skill using a digital tool/resource.

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  This learning activity provided by:  
Author: Michelle Frye
System:Blount County
School:Hayden Elementary School
  General Activity Information  
Activity ID: 2519
Title:
Greatest Product Wins!
Digital Tool/Resource:
Greatest Product Wins! Game Directions and Scoresheet
Web Address – URL:
Overview:

Students will play a game in which they will use place value understanding and strategies to create and solve multi-digit multiplication problems that have the greatest product.

This activity results from the ALEX Resource Development Summit.
  Associated Standards and Objectives  
Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 4
11. Find the product of two factors (up to four digits by a one-digit number and two two-digit numbers), using strategies based on place value and the properties of operations.

a. Illustrate and explain the product of two factors using equations, rectangular arrays, and area models.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Use strategies based on place value, properties of operations, rectangular arrays, area models, and equations to illustrate and explain the product of two factors (up to four digits by a one-digit number and two two-digit numbers).
Note: Standard algorithm is not an expectation for grade 4.
Teacher Vocabulary:
  • Product
  • Factor
  • Compose
  • Decompose
  • Digit
  • Strategy
  • Place value
  • Properties of operations
  • Equation
  • Rectangular array
  • Area model
  • Partial product
  • Multiple of 10
Knowledge:
Students know:
  • How to compose and decompose numbers in a variety of ways using place value and the properties of operations.
  • How to represent the product of two factors using an area model.
  • Use strategies based on place value (partial products), the properties of operations, arrays and area models to represent a two digit factor times a two digit factor.
Skills:
Students are able to:
  • Use strategies based on place value and the properties of operations to find products.
  • Illustrate the product of two factors using rectangular arrays and area models.
  • Explain the product of two factors using equations.
  • Make connections between models and equations.
Understanding:
Students understand that:
  • arrays, area models, place value strategies, and the properties of operations can be used to find products of a single digit factor by a multi-digit factor and products of two two-digit factors.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.4.11.1: Divide within 100, using strategies such as the relationship between multiplication and division (e.g. knowing that 8 x 5 = 40, one knows 40 ÷ 5 = 8).
M.4.11.2: Divide within 100, using strategies such as properties of operations.
M.4.11.3: Multiply within 100, using strategies such as properties of operations.
M.4.11.4: Multiply within 100, using strategies such as the relationship between multiplication and division (e.g. knowing that 8 x 5 = 40, one knows 40 ÷ 5 = 8).
M.4.11.5: Recall products of two one-digit numbers.
M.4.11.6: Name the first 10 multiples of each one-digit natural number.
Example: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70.
M.4.11.7: Recall basic addition, subtraction, and multiplication facts.

Prior Knowledge Skills:
  • Apply divisibility rules for 2, 5, and 10.
    Example: Recognizing that 32 is divisible by 2 because the digit in the ones place is even.
  • Apply basic multiplication facts.
  • Understand subtraction as an unknown
  • addend problem.
  • Recognize division as repeated subtraction, parts of a set, parts of a whole, or the inverse of multiplication.
  • Name the first 10 multiples of each one-digit natural number.
    Example: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70.
  • Recognize multiplication as repeated addition, and division as repeated subtraction.
  • Apply properties of operations as strategies to add and subtract.
  • Recall basic addition and subtraction facts.
  • Use repeated addition to solve problems with multiple addends.
  • Count forward in multiples from a given number.
    Examples: 3, 6, 9, 12; 4, 8, 12, 16.
  • Recall doubles addition facts.
  • Model written method for composing equations.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.4.11 Add and subtract one and two-digit numbers up to 49 with regrouping using concrete manipulatives and visual models.

Learning Objectives:

Students will apply what they know about place value strategies in multiplication to create problems that result in the greatest product.
  Strategies, Preparations and Variations  
Phase:
After/Explain/Elaborate
Activity:

The students will play in partners and will need 4 sets of digit cards.

  1. Each player will draw 4 cards. (Make sure the deck is shuffled.) 

  2. Arrange the cards to make a three-digit by one-digit multiplication equation. The goal is to create the greatest product possible. 

  3. Solve the multiplication equation. 

  4. Check the products by solving each other’s problems (you can use a calculator). 

  5. The player with the largest product gets 1 point. 

  6. The 1st player to score 10 points wins!
Assessment Strategies:

Check student work at the conclusion of the activity to assess their understanding. You can use the following guidelines to ensure students meet the learning objective.

Check that the student:

  1. used number sense to arrange their digit cards

  2. solved the problem correctly

  3. used place value strategies
Advanced Preparation:

Each student will need 4 sets of digit cards. These can be printed from http://mathwire.com/templates/digitcards.pdf. Students will also need their math journals or paper to solve the problems. Students can keep score in their journals/paper or use the score sheet. 
Variation Tips (optional):

This game can be used to find the least product and can be used with any combination of multi-digit multiplication problems. This is a great game for Tier II small group or used in math stations or review.
Notes or Recommendations (optional):

11. Find the product of two factors (up to four digits by a one-digit number and two two-digit numbers), using strategies based on place value and the properties of operations.
a. Illustrate and explain the product of two factors using equations, rectangular arrays, and area models. 

Note: Standard algorithm is not an expectation for grade 4.

 

This task can be used as a stand-alone activity or in conjunction with Big Problem? Break it Apart (before activity) and The Digit Card Challenge (during activity).
  Keywords and Search Tags  
Keywords and Search Tags: multiplication, multiplication game, product