Education Technology

# Activities

Middle

180 Minutes

• ##### Device
• TI-Nspire™ CX
• TI-Nspire™ CX CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

5.4

## Highly Composite ACT 4

#### Activity Overview

This activity is part 4 of the module "Code by Numbers" which can be downloaded as a complete booklet from the STEM section of the website. In this activity students explore the set of numbers that possess more factors than all their predecessors, Highly Composite Numbers. Students incorporate some of their previous programs and algorithms to build a program that automatically finds Highly Composite Numbers. These numbers are rich for investigation, and are still be explored to this day!

#### Objectives

This activity covers multiple objectives including improved number sense, pseudo-coding, coding, algorithmic thinking, problem solving and investigations. Students also see the power in representing numbers in different forms, including as a product of its prime factors. Students need to pose and test hypothesis as they work towards being able to predict subsequent highly composite numbers. They can improve their coding algorithms to the point of creating a level of AI within their coding.

#### Vocabulary

 Mathematics Factors Composite Highly Composite Pseudo-code Algorithm Coding def function if for % (Modular Arithmetic) while