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Learning Math Home
Patterns, Functions, and Algebra
Session 4 Part A Part B Part C Homework
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Session 4 Materials:

Session 4:

Problem H1


Explain the diagrams that illustrate 124 using the following models:

a. The partitive (or equal groups) model

b. The quotative (or measurement or repeated subtraction) model


Problem H2


Which two of the following models represent the same multiplication problem?

Stop!  Do the above problem before you proceed.  Use the tip text to help you solve the problem if you get stuck.
Model (2) illustrates two groups of six, and model (4) illustrates six groups of two.   Close Tip


Problem H3


Show how to compute 19513 using two different models: the area model and long division. Show how the area model relates to long division.


Problem H4


Explain how adding zeros with the colored-chip model helps you understand subtraction problems like +2 - (-4).


Problem H5


Why doesn't the colored-chip model work for all division problems with positive and negative integers?

Suggested Readings:

Chapin, Suzanne and Johnson, Art (2000). Chapters 3 and 4 in Math Matters: Understanding the Math You Teach, Grades K-6 (pp. 40-72). Sausalito: CA: Math Solutions Publications.
Reproduced with permission from the publisher. © 2001 by Math Solutions Publications. All rights reserved.

Download PDF File:
Math Matters: Understanding the Math You Teach, Grades K-6

Next > Session 5: Divisibility Tests and Factors

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