ND Curriculum Initiative

The North Dakota Curriculum Initiative (NDCI) is a long-term professional development program for North Dakota public and non-public school curriculum administrators and teachers.

Ordered Pairs

For grade(s) 5.

Subject & Standards

Mathematics:

Understandings & Goals

Enduring Understanding: 1. I want them to understand how to utilize ordered pairs in their everyday lives, such as in reading maps, plotting landscapes, designing plans for buildings.  2. I also want them to understand how to utilize a spreadsheet, and how to find resources on the Internet.
Goal(s): 1. Students will develop skills in ordered pairs.  2. Students will develop skills in utilizing a spreadsheet. 3. Students will creatively use ordered pairs.

Questions Answered

Essential questions: 1. What is an ordered pair?  2. How do you plot points on graph paper using the x and y axes in a coordinate plane?  3. How can a spreadsheet be utilized to organize data?  4. How are ordered pairs used in locating places on a map?
Objectives: 1. When given graph paper with x and y axes, students will plot points described by ordered pairs with 80% accuracy or better in 2 consecutive trials.  2. When given a specific series of ordered pairs and a sheet of graph paper, students will draw the x and y axes, plot the points, connect the points with a line, resulting in a predetermined picture with 80% accuracy or better.  3. When given a sheet of graph paper with a grid of 40 by 50units, students will create a picture and describe its points as ordered pairs on a spreadsheet with 80% or better accuracy.  4. When given a map of North Dakota, Student will locate the Indian reservations on the map and describe their locations with ordered pairs with 90% or better accuracy.  5. When given graph paper with x and y axes, students will develop two congruent figures and describe them with ordered pairs on a spread sheet with 80% or better accuracy.  6. When given access to Microsoft Word, students will design and create a grid appropriate for plotting assigned ordered pairs.

Assessment

What quiz and test items (e.g. simple content-focused questions that require a single, best answer) will provide evidence of understanding?  1. I will use a traditional test format on paper requiring students to locate points on a grid with x and y coordinates using ordered pairs.  2. The students will also determine and write down ordered pairs that describe the location of given points on a grid with x and y coordinates.
What academic prompts (e.g. open-ended questions or problems that require students to think critically and then to prepare a response / product / performance) will provide evidence of understanding?  Students will be given academic prompts to transfer their knowledge of ordered pairs to locating Indian reservations on a map of North Dakota using the map grid and identifying the ordered pairs that describe their locations.
What performance tasks and projects (e.g. complex challenges that are authentic, mirror the real world and require a performance or product) will you include that will provide evidence of student understanding? 1. The students will procure their grid paper from Microsoft Word.  2. They will create it to be approximately 40 by 50 units in size.  3. Then they will create a picture on the grid.  4. They will then list the ordered pairs that identify the end points of the lines in the picture, consecutively on a spreadsheet.  5. When they have completed their picture and identified the endpoints of the lines with ordered pairs, they will give a grid and the list of ordered pairs to a classmate, whose task will be to create the original picture that the student created.  6. If the classmate can create the original picture, then the student has shown his correct understanding of ordered pairs.
What other evidence e.g. observations, work samples, dialogues, student self-assessment) of understanding will you collect?  1. I will observe the students while they are working on their ordered pair assignments and assist them as needed.  2. I will also play the game Battleship with the students.  3. Their game skills will inform me of their understanding of ordered pairs.

Instructional Strategies

The students will be using the learning strategy of inquiry based. They will develop skills in graphing ordered pairs and locating points with ordered pairs. While doing these activities, the students will understand the use of graph paper, the need for order in the activity, the usefulness of ordered pairs in their lives, and adult use of ordered pairs in varying occupation.
They will also develop skills in spreadsheets. Once they have explored the use of ordered pairs through such activities as direct instruction, playing Battleship, drawing ordered pair pictures, and plotting ordered pair symmetrical pictures, the students will transfer this learning to reading maps, locating points of interest on local, state and world maps.

Lesson Created By

This lesson was created by Justin Wageman. Learn more about Justin Wageman on their profile page.