# Prime Time

## Unit Description

A primary goal of this unit is to help students learn some new and useful strategies for finding factors and multiples of whole numbers. They can apply these strategies to gain familiarity with prime and composite numbers to solve real-life problems. Common multiples and common factors are at the heart of many major mathematical ideas that are developed in middle grades. For example, common factors and multiples are the building blocks for equivalent fractions, which provide a foundation for operations with fractions and proportional reasoning. The Order of Operations convention is also introduced so that students can work with numerical expressions that contain parentheses and more than one operation.

## Factor Ninja

Factors are the numbers you multiply together to get another number. Factors are the numbers on the outside of the multiplication chart.

Greatest Common Factor: the BIGGEST number found on all lists of factors

GCF Word Problems Might Ask You...

• To split things into smaller parts
• To equally distribute 2 or more sets of items into their largest grouping
• To arrange something into rows or groups

## Multiple Monster

Multiples are the products of multiplication sentences. Multiples are all of the numbers inside a multiplication chart. You can find multiples by "counting by the number."

Least Common Multiple: the SMALLEST number (or product) found on all lists of multiples

LCM Word Problems Might Ask You...

• About an event or something that is repeating over and over
• To get multiple items in order to have enough
• To figure out when something will happen again at the same time

## What is prime factorization?

Prime Factorization: the process of breaking any whole number into its smallest whole pieces or prime numbers

Prime Numbers are numbers that have only two factors, one and itself.

Prime Numbers: 2, 3, 5, 7, 11

## Distributive Property

Multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

## What are the order of operations?

The Order of Operations are a set of math rules that tell you which operation to perform first.