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Lesson Plan
Curated OER

Modular Arithmetic

For Teachers 5th - 6th
Students investigate modular arithmetic and how to use it to solve real world problems. In this modular arithmetic instructional activity, students use computers to work on modular arithmetic after a teacher guided instructional...
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Worksheet
Curated OER

Applications of Modular Arithmetic

For Students Higher Ed
In this modular arithmetic worksheet, students use modular ten arithmetic to create Universal Product Code. This two-page worksheet contains seven problems.
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Lesson Plan
Curated OER

Clock Arithmetic and Cryptography

For Teachers 8th - 10th
Students explore the concept of modular arithmetic and cryptography. In this modular arithmetic and cryptography activity, students use applets to explore modular arithmetic using a clock and Caesar Ciphers. Students exchange their...
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Lesson Plan
Curated OER

Modular Arithmetic on the Planet of the Eights

For Teachers 7th - 12th
Young scholars explore modular arithmetic involving base eight. They participate in an activity where society functions around the numbers one through eight. Students explain how life will operate with only these numbers.
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Lesson Plan
Code.org

Public Key Cryptography

For Students 9th - 12th
Investigate how public key cryptography works. Scholars continue their study of one-way functions and asymmetric keys and apply this information to public key cryptography. They use an app to explore public key cryptography and its...
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Lesson Plan
Institute of Electrical and Electronics Engineers

Public Keys, One Way Functions and Hard Problems

For Students 6th - 9th Standards
Use paint to teach about cryptography. Scholars explore public key cryptography by attempting to mix a secret color using paint. After the activity, they investigate the Diffie-Hellman method using prime numbers, exponents, and modular...
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Lesson Plan
Curated OER

Clock Arithmetic and Cryptography

For Teachers 9th - 12th
Learners investigate modular clock arithmetic and cryptography. They perform basic operations in modular (clock) arithmetic and encode and decode messages using simple shift and affine ciphers.
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Lesson Plan
Curated OER

Clock Arithmetic and Cryptography

For Teachers 2nd - 5th
Young scholars perform basic operations in modular (clock) arithmetic. Students encode and decode messages using shift and affine ciphers. Young scholars apply their multiplication, division, addition, and subtraction skills.
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Lesson Plan
Shodor Education Foundation

Spy Game

For Teachers 5th - 8th Standards
Turn students into detectives as they decipher encrypted messages.  Introduce your class to modular arithmetic and have a little fun encrypting and decoding secret messages. The activity does not hit many content standards, but would be...
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Lesson Plan
Curated OER

Modular Arithmetic Station

For Teachers 8th
Eighth graders find ways to use math everyday. In this algebra lesson, 8th graders model equation and problem solving as they multiply and divide numbers. They split up in to groups as they perform hands on operations. 
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Assessment
Concord Consortium

Last Digit Arithmetic

For Students 7th - 10th Standards
Mathematics involves a study of patterns. The exploratory lesson has learners consider the addition pattern in different sets of numbers. Each set has a different pattern that pupils describe mathematically. The patterns involve both...
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Lesson Plan
Curated OER

Number Theory

For Teachers 8th - 12th
Learners explore the concept of number theory. They discuss an assortment of number theory topics such as prime numbers, composite numbers, GCF, modular arithmetic, and others in a lecture style discussion. Pupils view videos about these...
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Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 4)

For Teachers 9th - 12th Standards
This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum covering...
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Lesson Plan
Curated OER

Cryptography on the TI-83 Graphing Calculator

For Teachers 9th - 12th
Students explore the history of cryptography. They assess function notation and transformation, matrix operations, and the fundamentals of modular arithmetic. Using graphing calculators, students develop their own encryption schemes.
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Lesson Plan
Curated OER

Finding Remainders in Pascal's Triangle

For Teachers 5th - 6th
Students use clock arithmetic to find remainders. In this patterns in math lesson, students explore the relationship between clock arithmetic and remainders using a computer applet. Students also identify patterns in Pascal's triangle...
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Lesson Plan
Curated OER

Modular Houses

For Teachers 5th - 7th
Learners, working in pairs, are presented with the problem. They are asked to design modular houses using four cubic modules, all the same size, which touch each other on complete faces. They must draw each of their houses on isometric...
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Lesson Plan
Curated OER

Caesar Ciphers: An Introduction to Cryptography

For Teachers 8th - 10th
Students brainstorm and discuss the concept of cryptography, the science of secrets in today's world and then focus on a system for sending secret messages used by Julius Caesar. They make a Caesar wheel assessing encrypting and...
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Lesson Plan
Curated OER

Decode Word Is..

For Teachers 8th - 10th
Students solve problems using patterns. In this algebra lesson, students identify the relation, domain and range of a function. They graph functions using coordinate pairs.
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Lesson Plan
Curated OER

Does the falling tree make a sound if no one if there to hear it? (or communication via encryption)

For Teachers 1st - 12th
Students explore encryption. They discuss the importance of cryptography in our daily lives. Students use games and cryptography to discover transformational geometry and modulo systems. They design their own encryption puzzles and...
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Lesson Plan
Curated OER

Spy Game Lesson Plan

For Teachers 3rd - 5th
Students use math to solve encrypted messages.
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Article
Khan Academy

Khan Academy: What Is Modular Arithmetic?

For Students 9th - 10th
Find out the basics of modular arithmetic.
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Interactive
Shodor Education Foundation

Shodor Interactivate: Clock Arithmetic

For Teachers 9th - 10th
Students will explore modular arithmetic in this activity. The student will set a starting value and them move the "clock" forward a number of specified hours to see the resulting sum. Included are disucssion resources, additional...
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Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Modular Arithmetic

For Teachers 9th - 10th Standards
Introduces students to modular (clock) arithmetic and its uses in real world problem-solving.
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Activity
Maths Challenge

Maths challenge.net: Remainder of One

For Students 9th - 10th Standards
A critical thinking problem that may be solved with modular arithmetic knowledge or long had divisions. A great problem solving exercise.

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