Education Technology

# Activities

• ##### Subject Area

• Standard: National Curriculum 7-10: Number and Algebra: Patterns and algebra

Middle

120 Minutes

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

TI-Nspire™ CAS

3.2

• ##### Other Materials
Packs of playing cards are useful to assist student exploration
• ##### Report an Issue

Factors that count

Published on 10/19/2012

#### Activity Overview

Students write numbers as a product of their prime factors and then investigate how this information can be used to determine the quantity of factors for that number. Implicit in this activity is the use of index notation and a range of index laws which is embedded via the CAS.

#### Objectives

National Curriculum Reference ACMNA149: Investigate index notation and represent whole numbers as products of powers of prime numbers.

#### Vocabulary

Prime, composite, factors, index

#### About the Lesson

Students use factor trees to determine the factors of a number, write the result as a product of its prime factors and then use the result to determine the quanity of factors for that number.