ALEX Learning Activity

  

The Digit Card Challenge

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: 2520
Title:
The Digit Card Challenge
Digital Tool/Resource:
The Digit Card Challenge Google Slide Show
Web Address – URL:
Overview:

This resource is a performance task that allows students to apply their knowledge about place value and multiplication strategies to arrange digits to create multiplication problems. These problems must fall within a given product value.

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:

The students will apply their understanding of place value strategies to create multi-digit multiplication problems that have a certain product value.
  Strategies, Preparations and Variations  
Phase:
During/Explore/Explain
Activity:

  1. Show slide one to the students. Ask students the following questions to activate student knowledge. "What is a challenge?" "What could this task be about?"

  2. Show slide two to the students. The teacher will say, "What do you know about the digit cards displayed?" "Can we arrange them to get different multiplication problems and different products?"

  3. Read the task with the students and ask, "When it says the product must fall between 700 and 800, what does that mean?" Have students turn and talk with their neighbor or group. Ask students to share their thinking.

  4. The students will work in groups or partners to discover a solution(s) to the challenge.

  5. Allow students to share their strategies and thinking with the class. 

  6. Show slide three to the students. Read the second part of the task with the students, and ask, "What is Janet's challenge?" Slide three can be completed independently, with a partner or in groups.
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 place value strategies to solve the problem

  2. answer was within the correct product value

 
Advanced Preparation:

The teacher will need a computer and projector to show the Google Slide Show. Students will need math journals/paper and pencils to work the problems.
Variation Tips (optional):

This activity can be modified to include any multi-digit multiplication combinations. (Example: 2-digit by 1-digit; 2-digit by 2-digit) These slides may be changed to provide extension/challenge problems or to remediate during small group.
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 Greatest Product Wins! (after activity).
  Keywords and Search Tags  
Keywords and Search Tags: multidigit multiplication, multiplication game