Warm-Up 1
Day 6: Factors and Multiples
Review factors, multiples, prime numbers, GCF, LCM, and pattern rules.
Student Goal
I can use factors and multiples to understand number patterns.
Why It Matters
Factors and multiples support fraction work, ratio reasoning, and efficient problem solving.
Warm-Up
Warm-Up 2
List the first four multiples of 6.
Warm-Up 3
Is 17 prime or composite?
Short Lesson
Standard Focus:
NC.6.NS: The Number System
Student-Friendly Standard Goal:
I can use factors, multiples, and patterns to reason about numbers.
- Factors divide evenly into a number. Multiples are the results of skip-counting by a number.
- A prime number has exactly two factors: 1 and itself. A composite number has more than two factors.
- GCF means greatest common factor. LCM means least common multiple.
Guided Examples
Guided Example 1
Shared Bell Timers
One bell rings every 4 minutes and another rings every 6 minutes. When will they ring together again?
Step 1
Multiples of 4
Which list starts the multiples of 4?
Guided Example 2
Greatest Common Factor
Find the greatest common factor of 12 and 18.
Step 1
Factors of 12
Which number is a factor of both 12 and 18?
Practice
Problem 1
Which list shows all factors of 12?
Problem 2
Find the greatest common factor of 12 and 18.
Problem 3
Which number is prime?
Problem 4
True or false: 40 is a common multiple of 5 and 8.
Problem 5
What is the rule for this pattern: 3, 9, 15, 21?
Reflection
How are you feeling about today's skill?
Optional reflection: Optional prompt: How can patterns make math easier?