Description
What our Graph a Two Variable Relationship lesson plan includes
Lesson Objectives and Overview: Graph a Two Variable Relationship teaches students how to create and interpret graphs of two-variable relationships. At the end of the lesson, students will be able to graph a two-variable relationship from a table and generate a list of points from an equation. This lesson is for students in 4th grade, 5th grade, and 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 addition to the lesson activity is to have your students find the equations printed in the same color either the text as a color or the paper as the corresponding color. You can also have your students create their own real-world examples as a group and make a table and graph to display in the classroom, including negative numbers for more advanced students.
Teacher Notes
The teacher notes page includes a paragraph with additional guidelines and things to think about as you begin to plan your lesson. This page also includes lines that you can use to add your own notes as you’re preparing for this lesson.
GRAPH A TWO VARIABLE RELATIONSHIP LESSON PLAN CONTENT PAGES
Graph a Two Variable Relationship
The Graph a Two Variable Relationship lesson plan includes two pages of content. Two variable relationships consist of an independent and dependent variable. The dependent variable is the quantity that depends on the other quantity. The independent variable is the quantity the dependent variable depends on. Often, the independent variable leads to the dependent variable.
Graphs are a visual way of showing the interaction between the variables. Ordered pairs (x, y) tell the location of a point on a coordinate plane. The x value tells you the horizontal position, while the y value tells you the vertical position. This makes them easy to locate. The x and y values are presented as a table that you can use to form the ordered pairs to graph.
The lesson includes an example table that shows the relationship between two variables. For every x value, the corresponding y value is multiplied by 3. You can create points using these values: (1, 3), (2, 6), (3, 9), and so on. You can then graph them on a coordinate plane. When you graph these points, they create a straight line. The values in a table have to follow a consistent rule to create a linear relationship like the one in this example.
The lesson also includes a real-world example. Say you want to join a video game rental program that costs $20 plus $10 for every 5 games rented. You can create a table to represent these values, and then use those values to create points, where the x value is the number of games rented and the y value is total cost: (0, 20), (5, 30), (10, 40), (15, 50), (20, 60), (25, 70), and so on. You can then graph them.
To create a graph from a two variable relationship, you need to determine the points. You can create points using the x and y variables using the equation y = 2x + 1. In order to create points, first pick an x value, then substitute in the value for x, and finally solve for the y value. The lesson shows a table created using this equation as well as the corresponding graph.
Graphs can help mathematicians see patterns in their data. Not all patterns will be in a straight line (also called a linear relationship). Some patterns are more complex and have dips or curves.
GRAPH A TWO VARIABLE RELATIONSHIP LESSON PLAN WORKSHEETS
The Graph a Two Variable Relationship 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.
COLOR CARD ACTIVITY WORKSHEET
For the activity worksheet, students will look around the classroom to find the colored cards that match the cards shown on their worksheets. They will then use them to create a table of values and graphs.
ORDERED PAIR PRACTICE WORKSHEET
The practice worksheet asks students to look at two graphs and make a list of 5 ordered pairs from each. They will also graph the two-variable relationship from the given table.
GRAPH A TWO VARIABLE RELATIONSHIP HOMEWORK ASSIGNMENT
For the homework assignment, students will solve a word problem where they will determine which of two girls are walking faster. One walks at 5 miles an hour and the other walks at 4 miles an hour. To solve, they will make a graph of each girl’s time and distance. They will then write down how they can use the graphs to determine which girl walks faster.
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 create a graph from the given equation. They will then graph the two-variable relationship from the table.
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.
