# Activities

• ##### Download

• • ##### Subject Area

• Math: Elementary Math: Algebraic Thinking
• Math: Middle Grades Math: Algebraic Thinking

• ##### Author K-5

60 Minutes

• ##### Device
• TI-10
• TI-15 Explorer™
• TI-73 Explorer™
• ##### Other Materials
This is Activity 4 from the EXPLORATIONS Book:
Integrating Handheld Technology into the Elementary Mathematics Classroom .
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Patterns, Functions, and Algebraic Reasoning

#### Activity Overview

Students learn to use the calculator to generate recursive patterns. They explore the connection from patterns to functions and algebraic reasoning. Students examine the idea of a variable for an unknown quantity and express mathematical relationships using equations.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 21 - 46 from the attached PDF file
• #### During the Activity

Distribute pages the pages to the class.

Follow the activity procedure:
Activity 1: Guess My Number

• On the calculator set a function to add a number
• Enter numbers and use the results to find the number added by the function
• Find what number will give a specified number as a result with the same operation function

• Activity 2: Connecting Cubes
• Understand the pattern made by the connected cubes
• Find different methods of determining the pattern
• Observe the pattern uses skip counting and multiples of a number
• Use the calculator to find the color of the 20th and 147th cube
• Examine other given sets of connected cubes and find the patterns

• Activity 3: Skip Counting
• Using information about the number of times skip counting was performed and the result after skip counting, determine the number used to skip count
• Understand that there is more than one solution to each problem
• Examine the result of skip counting by one and zero
• Work backwards to find the starting value
• Learn to see a pattern and solve other problems related to skip counting
• Use other elementary school activities to develop an understanding of recursive algebra
• #### After the Activity

Review students results and re-teach concepts as necessary.