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:

Guide Entry to 18.04.02

This eight-day, 70- minute, block-scheduled curriculum unit directs students through the use of place value as a guide for understanding conceptual multiplication. The purpose of the unit is to connect the Base-Ten number system and place value with three different, yet closely -related multiplication strategies: area model, box method, and the standard U.S. algorithm. The unit also incorporates carefully selected operational properties for both addition and multiplication since they assist in explaining the many whys associated with performing various types of multiplication algorithms. The lessons are designed for whole group instruction, collaborative teamwork via small groups or peer pairs, and student-led discussions and demonstrations leading to individual, inquiry-based exploration. At the conclusion of the unit, the students will have an increased understanding of the ways place value and multiplication are connected and will have a minimum of three strategies at their disposal to solve and check multiplication problems of all sorts of complexities in the elementary years and those beyond.

(Developed for Mathematics, grade 4; recommended for Mathematics grades 3 and 5)

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