# Patterns in a Table

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## Objective

SWBAT discover the relationships between paired numbers in a table.

#### Big Idea

Pattern recognition is a critical skill in math, and life. Learning to look for and analyze patterns helps students learn how to use what they know, to solve what they don't.

## Student-Led Teaching

25 minutes

Ok, who can teach us today about the patterns in this table? I need you to explain to the class what all of these numbers mean and how we can find what’s missing.

Student-led teaching is a strategy I use a great deal, especially once we have a lot of practice with a concept. I want students to feel confident in their thinking and the explanations they give to explain thinking in problem solving. Beyond some prompting or clarifying questions (i.e., explain what you are doing, how did you arrive at that answer, how did you figure that out, is there another way?) I allow the students to do their own questioning and answering, as they work with their peers to make sense of problems (MP1).

We do three problems on the board and I support students in using whatever strategy works for them (MP5). I think it’s important when building a deep understanding to have kids show their thinking in multiple ways, and be able to explain it and defend their choices (MP3).

## Independent Work

35 minutes

I have a lot of word problems here that are going to help us all think about our number relationships and patterns in a table. Each problem will look a little bit different, which will make us have to really think hard! We will have to rely on our problem solving tricks and tools to find a way to a solution. we may not all use the same tools for each question, but we should all use the tools that work best for us.

Students return to their seats and work on a variety of word problems that require them to apply their understanding of relationships between numbers and patterns in a table (MP8). I took these questions off of an activity sheet and then cut them up into individual questions.

I like to cut them up into individual 'question cards' so that students can focus on their work, one question at a time. Some students get really overwhelmed by a page (or pages) full of problems and give up long before they ever begin. By cutting them into individual cards it creates a focus on the question they have, solve, and then move on.