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Main Curriculum Tie:
Background For Teachers:
Enduring Understanding (Big Ideas): Every number can be written as the product of factors. Numbers that are relatively prime have only 1 as their common factor.
Skill Focus: Find factors for numbers and determine whether two numbers are relatively prime.
Vocabulary Focus: Factor, divisible, prime number, composite number, relatively prime.
Ways to Gain/Maintain Attention (Primacy):
Use the starter to review vocabulary such as factors, prime numbers.
Lesson Segment 1: How can divisibility rules be used to find factors for a number? When can knowing a divisibility rule be useful?
If-Then Statements and Divisibility Rules
Statement# 1 If a number is divisible by a given factor, then all the multiples of that number are divisible by that factor as well. (If n is a factor of a, then n is a factor of a b). Ex. If 10 is divisible by 2, then 10 x 10 (100), 1,000, etc are also divisible by 2.
Statement #2 If two numbers are each divisible by a factor, their sum is also divisible by that factor. Ex. 3 is a factor of 30. 3 is a factor of 27. So, 3 is a factor of 30 + 27 or 57.
Lesson Segment 2: How does the meaning of “relatively prime” differ from the meaning of “prime”?
Lesson segment 3: Practice
Appropriate text practice may be assigned.
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