Priority Standard #1: Students will explore historical topics and individuals who have contributed significantly to the development of mathematics.
Priority Standard #2: Students will develop an appreciation for math and its relevance in their educational experience.
Priority Standard #3: Students will explore non-traditional topics through application of previous mathematical skills and procedures.
Priority Standard #4: Students will solve problems by applying and adapting a variety of appropriate strategies and using appropriate technology.
Priority Standard #5: Students will communicate mathematically
Topics and "I can" Statements:
Unit 3 Resources:
Unit 3: Note/Homework Packet- Blank Copy
Unit 3: Planning Schedule (8 Days Total)
Unit 3- Topic #1: Number Theory pg. 2-
Lesson 1: Number Theory Discovery Lesson
Number Theory Discovery Lesson: Lesson Video
Lesson 2: Hippocrates and the Three Famous Problems of Antiquity
Hippocrates and the Three Famous Problems of Antiquity: Guided Notes
Hippocrates and the Three Famous Problems of Antiquity: Lesson Video
Unit 3- Topic #2: Questions on Weighing
Lesson 3: Questions on Weighing
Questions on Weighing: Guided Notes
Questions on Weighing: Lesson Video
Unit 3- Topic #3: Primes
Lesson 4: Primes
Primes: Guided Notes
Primes: Lesson Video
Unit 3- Topic #4: Cryptography
Lesson 5: Cryptography using Primes
Cryptography using Primes Guided Notes
Cryptography using Primes: Lesson Video
Lesson 6: Cryptography using Matrices
Cryptography using Matrices Guided Notes
Cryptography using Matrices: Lesson Video #1
Lesson Video #2
Unit 3- Topic #5: The Fundamental Theorem of Arithmetic
Lesson 7: The Fundamental Theorem of Arithmetic
The Fundamental Theorem of Arithmetic: Guided Notes
The Fundamental Theorem of Arithmetic: Lesson Video #1
Lesson Video #2
Priority Standard #2: Students will develop an appreciation for math and its relevance in their educational experience.
Priority Standard #3: Students will explore non-traditional topics through application of previous mathematical skills and procedures.
Priority Standard #4: Students will solve problems by applying and adapting a variety of appropriate strategies and using appropriate technology.
Priority Standard #5: Students will communicate mathematically
Topics and "I can" Statements:
- I can classify numbers as deficient, perfect or abundant.
- I can explain the difference between prime and composite number in terms of their factor sums.
- I can explain what amicable numbers are.
- I can develop a better understanding of properties of arithmetic by experimenting with weighing problems.
- I can understand and explain why there are an infinite number of primes.
- I can encode and decode messages using the cryptography method based on prime numbers.
- I can encode and decode messages using the cryptography method based on matrices.
- I can state the Fundamental Theorem of Arithmetic.
- I can calculate the Greatest Common Factor (GCF) three different ways.
- I can calculate the Least Common Multiple by applying the Fundamental Theorem of Arithmetic.
Unit 3 Resources:
Unit 3: Note/Homework Packet- Blank Copy
Unit 3: Planning Schedule (8 Days Total)
Unit 3- Topic #1: Number Theory pg. 2-
Lesson 1: Number Theory Discovery Lesson
Number Theory Discovery Lesson: Lesson Video
Lesson 2: Hippocrates and the Three Famous Problems of Antiquity
Hippocrates and the Three Famous Problems of Antiquity: Guided Notes
Hippocrates and the Three Famous Problems of Antiquity: Lesson Video
Unit 3- Topic #2: Questions on Weighing
Lesson 3: Questions on Weighing
Questions on Weighing: Guided Notes
Questions on Weighing: Lesson Video
Unit 3- Topic #3: Primes
Lesson 4: Primes
Primes: Guided Notes
Primes: Lesson Video
Unit 3- Topic #4: Cryptography
Lesson 5: Cryptography using Primes
Cryptography using Primes Guided Notes
Cryptography using Primes: Lesson Video
Lesson 6: Cryptography using Matrices
Cryptography using Matrices Guided Notes
Cryptography using Matrices: Lesson Video #1
Lesson Video #2
Unit 3- Topic #5: The Fundamental Theorem of Arithmetic
Lesson 7: The Fundamental Theorem of Arithmetic
The Fundamental Theorem of Arithmetic: Guided Notes
The Fundamental Theorem of Arithmetic: Lesson Video #1
Lesson Video #2