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.