Lesson objective: Create patterns using a given rule and find features of patterns.

Students bring prior knowledge of arithmetic patterns from 3.OA.D.9. This prior knowledge is extended to creating patterns and analyzing those patterns in order to make observations about its features. A conceptual challenge students may encounter is assuming that all patterns start with the numbers 0 and 1 instead of using patterns to solve a variety of problems.

The concept is developed through work with tables, which support students with an organized way to list two pieces of information in a pattern.

This work helps students deepen their understanding of number because students will learn that numbers can increase or decrease in predictable ways.

Students engage in Mathematical Practice 7 (look for and make use of structure) as they closely examine numbers to determine a pattern and think about the patterns seen in different operations. Students will begin to look for predictable ways that numbers may increase or decrease, such as looking for multiples. They will also begin to see commonalities between numbers in order to more easily decipher patterns and make conclusions on the features of patterns.

**Key vocabulary:**

- multiple
- pattern
- table