Algebraic Thinking Activity

Student Page

Teacher Lesson Plan

Your group will be working through an activity in Glencoe's Interactive Mathematics text (Units 7-12, p. 16) called "Fruit for Thought." There are some properties of numbers that will help you find the solution to this activity. Most helpful are:

  1. The Additive Identity which simply said is:
    If you add 0 to any number you will still have that same number as your answer.
  2. The Multiplicative Identity which simply said is:
    If you multiply any number by 1 you will still have that same number as your answer.

There are other properties of numbers that you may find useful to know as you study mathematics including:

  1. Commutative Property for Addition
  2. Commutative Property for Multiplication
  3. Distributive Property of Multiplication over Addition
  4. Additive Inverse
  5. Multiplicative Inverse
  6. Closure
Here are some pages from the Math Forum that students might find interesting to read on the different properties.
Basic Real Number Properties
Identifying Algebraic Properties
Other Links:

Whole Numbers and Their Basic Properties - Math League Multimedia
Definitions of the properties with accompanying examples.

Make 24 If You Can - Don Link
This is an Excel spreadsheet that implements a game similar to the card-based 24 Game by Suntex International Inc.

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