Education Technology

# Activities

• ##### Subject Area

• Standard: National Curriculum 7-10: Number and Algebra: Number and place value
• Standard: National Curriculum 7-10: Number and Algebra: Real numbers
• Standard: National Curriculum 7-10: Statistics and Probability: Data representation and interpretation

Middle

60 Minutes

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

TI-Nspire™ CAS
TI-Nspire™

4.4

## Goldbach Conjecture

#### Activity Overview

Explore one of the great ‘unsolved mathematics’ problems.  The humble beginnings make this problem accessible to upper primary level mathematics:  “Every even number greater than two can be written as the sum of two prime numbers”.   Students start by exploring two digit numbers, then they apply some relatively simple coding commands to write a basic program that makes exploration quicker.  One of the beauties of this unsolved mathematics problem is that it is easy to escalate the mathematics and coding aspects to provide a challenge to a broad range of students.

#### Objectives

• ACMSP169 – Identify and investigate issues involving numerical data collected from primary and secondary sources.
• Apply STEM principles design – test – evaluate to improve coding efficiency by utilising some basic number facts.
• Conduct an investigation into the frequency of pairs of prime numbers that produce the same sum.

#### Vocabulary

 Mathematics Prime Composite Even / Odd Coding isPrime IF / Then/ Else For/ Endfor