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Ordered Pairs on a Coordinate Plane

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Ordered Pairs on a Coordinate Plane is a lesson for 6th Grade students. It introduces the concept of ordered pairs and how to plot them. It describes the x and y axes and how to use them to plot points or make ordered pairs.

Included with this lesson are some adjustments or additions that you can make if you’d like, found in the “Options for Lesson” section of the Classroom Procedure page. One of the optional additions to this lesson is to have your students practice in class using a coordinate plane to mark points on a laminated board.

Description

What our Ordered Pairs on a Coordinate Plane lesson plan includes

Lesson Objectives and Overview: Ordered Pairs on a Coordinate Plane focuses on teaching students how to find and position integers on a coordinate plane. At the end of this lesson, students should be able to plot points using ordered pairs and write ordered pairs based on plot points. They should be able to describe the difference between the x and y axes. Likewise, they should understand the different quadrants in a coordinate plane. 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 addition to the lesson activity is to have your students switch drawings with a partner or randomly in the class and see if they can follow the ordered pair directions to make the same drawing. You can also have your students practice in class using a coordinate plane to mark points on a laminated board.

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.

ORDERED PAIRS ON A COORDINATE PLANE LESSON PLAN CONTENT PAGES

Ordered Pairs on a Coordinate Plane

The Ordered Pairs on a Coordinate Plane lesson plan includes five pages of content. Coordinate planes are two-dimensional number line. The horizontal number line is the x-axis, and the vertical number line is the y-axis. The number lines are perpendicular and they intersect at zero. We call this intersection the origin.

The coordinates are the numbers that we use to find points on a coordinate plane. The first number corresponds to the x-coordinate and the second number corresponds to the y-coordinate. Ordered pairs are made up of the number on the x-axis (x-coordinate) and the number on the y-axis (y-coordinate): (x, y).

Graphing an Ordered Pair

To graph an ordered pair, we first need to look at the x-coordinate. Let’s use the ordered pair (4, 5) as an example. The x-coordinate is the first number (4) so we move right on the x-axis until we find the number 4. Next, we look at the y-coordinate. This is the second number (5), so we move up until we find the number 5. This is where our point is located. The ordered pair (4, 5) is located at the intersection of x at 4 and y at 5.

The process is the same for ordered pairs with negative numbers, but you move in the opposite directions. For example, for the pair (-3, -2), we first move left on the x-axis to -3 and then move down on the y-axis to -2. Therefore, the ordered pair (-3, -2) is located at the intersection of x at -3 and y at -2.

Naming an Ordered Pair

If we want to write the ordered pair for a specific point, we just need to find its position on the x-axis and y-axis. We then write the point in the format (x, y).

The lesson includes a few examples. For each, we first start at the point and follow it to the x-axis. We then follow the point to the y-axis. These become our coordinates. If the point is located on an axis, we write that axis’ point as 0. For example, if a point is located on the x-axis at 2 and is on the y-axis, we write that ordered pair as (2, 0).

ORDERED PAIRS ON A COORDINATE PLANE LESSON PLAN WORKSHEETS

The Ordered Pairs on a Coordinate Plane lesson plan includes three worksheets: an activity worksheet, a practice worksheet, and a homework assignment. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.

CREATE A DRAWING ACTIVITY

With this activity, students will create their own drawing and graph it on graph paper. They will then have to write the ordered pairs that make the drawing. Additionally, teachers may choose take advantage of one of the lesson options here. Students can switch drawings with a partner. They would then try to plot their partners’ pictures based on the coordinates listed.

PLOT THE POINTS PRACTICE WORKSHEET

The practice activity will further test students’ understanding of ordered pairs. It requires students to demonstrate their ability to plot points.  Given 10 ordered pairs, they will mark where each is located. They will have to ensure they use the proper quadrant.

ORDERED PAIRS ON A COORDINATE PLANE HOMEWORK ASSIGNMENT

The homework is similar to the practice worksheet. It requires students to write ordered pairs using plot points. In the homework, a graph shows 10 points already plotted. Instead of marking the graph, students will write the ordered pairs that correspond to the given points.

Worksheet Answer Keys

This lesson plan includes answer keys for the practice worksheet and the homework assignment. 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.

Additional information

grade-level

6th Grade

subject

Math

State Educational Standards

LB.Math.Content.6.NS.C.6.C

Lessons are aligned to meet the education objectives and goals of most states. For more information on your state objectives, contact your local Board of Education or Department of Education in your state.

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