Description
What our Integers with Input/Output Tables lesson plan includes
Lesson Objectives and Overview: Integers with Input/Output Tables teaches students about input/output tables and how to determine their rules. At the end of the lesson, students will be able to fill in values for the output using rules with one or more operations and students will be able to determine a rule for a given input/output table. This lesson is for students in 6th grade.
Classroom Procedure
Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand.
Options for Lesson
Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. One optional adjustment to this lesson is to have your students use more than one or two operations in rules. You could also have your students graph the values in the tables as an extension in order to make a connection between a table and a graph. Another idea is to connect the input/output table to the concept of a function. Finally, if you have advanced students, consider include quadratics in this lesson.
Teacher Notes
The teacher notes page includes lines that you can use to add your own notes as you’re preparing for this lesson.
INTEGERS WITH INPUT/OUTPUT TABLES LESSON PLAN CONTENT PAGES
Integers with Input Output Tables
The Integers with Input/Output Tables lesson plan includes two content pages. We use input/output tables to show the relationship between numbers that follow a rule. The rule for an input/output, sometimes also called the pattern, stays the same for all of the numbers. The input is the number that you begin with, the rule is the operation that you follow, and the output is your final answer. Most often, your input is your x value and your output is your y value.
You can solve two types of problems with input/output tables: finding values for the input or output and determining the rule that is being used in the table.
First, let’s look at finding values in input/output tables with integers. The lesson shows several example tables. In the first table, it shows the values for the input, the rule, and the output for the rule (x + 5). For example, for the input -2, you solve (-2 + 5) to get the output of 3.
Input values do not always have to be listed in sequential order, so always pay attention to the value of the input instead of assuming it follows a set pattern. To create input values, the best practice is to use a negative, zero, and a positive.
The lesson shows several more example input/output tables. They can be simple, with only one operation used for the rule, or more complex, with multiple operations or inputs. Sometimes, the output can have multiple values that are the same. This does not necessarily mean that there’s a problem so don’t panic!
Finding the Rule
Next, the lesson delves into finding the rule for an input/output table with integers. Sometimes, you’ll be shown a table with just input and output values and you need to figure out the rule. It can be easy or hard to find the rule, depending on how complicated it is. When you’re finding the rule, remember that the rule must apply to all of the values. If even one value doesn’t work, it’s not the right rule!
The lesson shows several examples. In the first example, the first input is 2 and output is 0. The next input is -1 and output is 1. The third input is 0 and output is 2. For this table, the rule is x + 2, because the input increases by 2 each time.
When looking at a list of inputs and outputs, try finding the pattern and using different rules to create that pattern! The more you practice, the easier it will get.
INTEGERS WITH INPUT/OUTPUT TABLES LESSON PLAN WORKSHEETS
The Integers with Input/Output Tables lesson plan includes four worksheets: an activity worksheet, a practice worksheet, a homework assignment, and a quiz. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.
DESIGN A TABLE ACTIVITY WORKSHEET
The activity worksheet asks students to design an input/output table for their partner to guess the rule using a set of specific guidelines about the input and output and the number of operations they can use in each rule.
FIND THE RULE PRACTICE WORKSHEET
For the practice worksheet, students will first find the rule for four input/output tables using the given inputs and outputs. They will then fill in tables with the correct values based on the inputs and rule.
INTEGERS WITH INPUT/OUTPUT TABLES HOMEWORK ASSIGNMENT
Like the practice worksheet, the homework assignment asks students to first find the rule for four input/output tables using the given inputs and outputs. They will then fill in tables with the correct values based on the inputs and rule.
QUIZ
This lesson also includes a quiz that you can use to test students’ understanding of the lesson material. For the quiz, students will first fill in a table with the correct values based on the inputs and rule. They will also fill in the blanks in two questions about the lesson material.
Worksheet Answer Keys
This lesson plan includes answer keys for the practice worksheet, the homework assignment, and the quiz. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.
