Math Assessment Activity: The Algorithmic Production of Knowledge
Luhn algorithm investigation: students check a credit card number by hand using the algorithm's steps, explain why changing one digit breaks it, and compare an equivalent digit-sum method.
- Grades
- Grades 8–12, Middle School, High School
- File type
- Preparation
- Print ready
- Topic
- math assessment, math coding
- Resource types
- Teacher Tools, Assessments
- Preparation
- Print ready
About this resource
What's inside this resource
This is a math assessment activity titled The Algorithmic Production of Knowledge inspired by NewScientist: Infinity and Beyond – Richard Webb. It is a timed 40-minute assessment with 6 different detailed tasks for students to complete.
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In the classroom
Teaching tips & learning objectives
Learning objectives
- Apply the Luhn algorithm to test whether a number is valid
- Explain how a single-digit change affects the check
- Interpret a spreadsheet formula and Python code that carry out an algorithm
Skills covered
- Following an algorithm — working the Luhn steps in the table for a card number
- Reading code — commenting on Python that implements the same check
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Resource details
Concepts & topics
Core concepts
Core concepts
- Algorithms
- Luhn algorithm
- Check digits
- Spreadsheet formulas
- Python
Topics
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