Big Numbers, Small Numbers

CONTENTS OF CURRICULUM UNIT 18.04.02

  1. Unit Guide
  1. Introduction
  2. Demographics
  3. Background
  4. Content Objectives
  5. Properties of Operations
  6. Multiplication Basics
  7. Multiplication Situations
  8. Multiplication Algorithms
  9. Teaching Strategies
  10. Classroom Activities
  11. Key Vocabulary
  12. Resources for Teachers and Students
  13. Appendix: Implementing District Standards
  14. Bibliography for Teachers
  15. Endnotes

Place Value Meets Multiplication: Utilizing Place Value to Comprehend Multiplication

LaJuanda Shanelle Bland

Published September 2018

Tools for this Unit:

Multiplication Situations

There are several types of one-step multiplication/division problems, according to three kinds of situations in which multiplication gets used.

Equal Groups

In multiplication, one factor represents the number of equal groups while the other factor represents the number in or the size of each group. The result is the product of the total of all groups. This model allows the students to use concrete items to visualize multiplication as an extension of addition; multiplication here amounts to adding a number to itself several times.

Arrays

An array consists of row and columns and reinforces an understanding of the commutative property as referenced above (e.g. 7 rows and 6 columns produces a 7 x 6 array).

Multiplicative Comparisons

Multiplicative comparison compares two quantities by saying that one of them is some number of times larger (or smaller) than the other one.

The chart below provides examples of each multiplication problem type in word problem form emphasizing the whole unknown as these problem types require multiplication to solve them and does not include the multiplication types that require the usage of other operations. The word problem examples will be used in conjunction with the teaching strategies for demonstration purposes.

Multiplication Problem Type

Examples

Equal Groups Whole Unknown

There are 12 boxes of cupcakes on the table. Each box holds 24 cupcakes. How many cupcakes are there in all?

Array Whole Unknown

There are 18 basketball teams competing in a national basketball tournament. Each team has 12 basketball players stand for the National Anthem. How many basketball players are standing all together?

Multiplicative Comparison- Result Unknown

Khalil was in the weight room for 55 minutes last week. Gerald was in the weight room fourteen times as long as Khalil during the same week. How long was Gerald in the weight room?

Multiplicative Comparison- Smaller Amount Unknown

Essence ran 120 miles. She ran three times as many miles as Erynn. How many miles did Erynn run?

Multiplicative Comparison- Comparison Factor Unknown

Taiya drove 420 miles to a dance competition. Monay drove 70 miles. How many times farther did Taiya drive than Monay?

Comments:

Leah Valdez

December 10, 2022 at 3:18 am

Question

I find the information presented here significant and relevant to my current study specifically the steps that summarized the standard algorithm for multiplication. Hence, may I know when is this information being posted? It will be a great help for me in citing the information I get to be included in my study. Thank you. 2018

Add a Comment

Characters Left: 500

Unit Survey
Feedback