NC.4.OA.4

Find all factor pairs for whole numbers up to and including 50 to:

Recognize that a whole number is a multiple of each of its factors.
Determine whether a given whole number is a multiple of a given one-digit number.
Determine if the number is prime or composite.

Step 1: Lesson Standards & Learning Goals

Students will demonstrate an understanding of factors and multiples of whole numbers up to and including 50.

Factor pairs include two numbers that when multiplied result in a particular product. Students should be given opportunities to explore factor pairs with concrete objects and drawings to represent arrays.
Multiples are the result of multiplying two whole numbers. Multiples can be related to factors, and this relationship can be discovered through exploration with arrays. Students can build on their understanding of skip counting by a given number to determine the multiples of the given number.
Students will build a conceptual understanding of prime and composite numbers.
- Prime numbers have exactly two factors, the number one and their own number.
- Composite numbers have more than two factors.
- Common misconceptions
  - One is a prime number. FALSE - It is neither prime nor composite.
  - All prime numbers are odd numbers. FALSE - The even number 2 is prime. It has only 2 factors, 1 and 2.

How do I determine the factors of a number?
How can patterns and properties be used in finding factor pairs for whole numbers in the range of 1-50?
How are factors and multiples related?
What is the difference between a prime and composite number?

The difference between a factor and a multiple.
The difference between prime and composite numbers.
Some numbers have exactly two factors, 1 and itself.
Some numbers have more than two factors.
The product of any nonzero number and any other nonzero number is called a multiple of each number.
A product is the result of multiplying numbers that are called factors.

Step 2: Assessment

Step 3: Lesson Instructions

Math Talk
- What do you think of when you hear the word prime? composite? factor? multiple?
- Mnemonic - Prime consists of I and ME - The number two has only two factors 1 (I) and 2 (ME)

https://www.crafting-connections.com/2015/01/prime-and-composite-anchor-chart-plus.html

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