Exploring The Coordinate Plane
1 Opening: Whole Group Exploration -Creating A Cartesian Coordinate Plane
Teacher will present the class with an empty grid. Students will follow steps 1-9 as listed in the student instructions. Before step 1 read: In earlier lessons, you graphed points on a coordinate plane where both the x- and y-coordinates were zero or positive numbers. Now let’s include negative numbers in the coordinate plane. After step 4 read: These regions on the coordinate plane are called quadrants. They are numbered with Roman numerals from one to four (I, II, III, IV) starting in the upper right-hand quadrant and moving counterclockwise. After step 5: You can plot points on the coordinate plane using an ordered pair. An ordered pair is a pair of numbers which can be represented as (x, y) that indicate the position of a point on the coordinate plane. For example, the ordered pair for the origin is (0,0).
1. To begin this process, first draw a horizontal line segment across the width of the grid that splits the grid in half. Draw arrowheads at the ends of your line segment. Label the line x. This horizontal line on the coordinate plane is called the x-axis. 2. Next, draw a line segment perpendicular to your first line segment from the top of the grid that splits the grid in half so that the line segments intersect. Label this line y. This vertical line on the coordinate plane is called the y-axis. 3. Label the point of intersection with 0. This point where the x-axis and y-axis intersect on the coordinate plane is known as the origin. Then, using an interval of 1, label the grid lines to the right and above 0 with positive numbers in numerical order. Finally, label the grid lines to the left and below 0 with negative numbers in numerical order. 4. How many regions are created when the coordinate plane is divided by the perpendicular lines? 5. Label each of the quadrants on your coordinate plane. 6. Plot a point on the coordinate plane anywhere in the first quadrant, and label the point with its ordered pair. 7. Plot a point on the coordinate plane anywhere in the second quadrant, and label the point with its ordered pair. 8. Plot a point on the coordinate plane anywhere in the third quadrant, and label the point with its ordered pair. 9. Plot a point on the coordinate plane anywhere in the fourth quadrant, and label the point with its ordered pair.
2 Independent Practice- Performance Task and Free Response
Technology approach: iPad 1:1
Each student will have an iPad to complete the interactive tasks on USA Test Prep.
Teacher will assign a Performance Task to give the students practice in matching ordered pairs to the correct coordinate on the grid. Students will match key terms related to the coordinate plane with their meaning.
Lastly, students will complete a constructed response task in which they will look at a coordinate plane with labeled points and write the ordered pair and tell the quadrant in which the point is located.
Teacher will evaluate responses and give students immediate feedback via USA Test Prep.
Students will Log into USA Test Prep on their iPads and begin the interactive performance task and constructed response activities.
- Practice matching ordered pairs to the correct coordinate on the grid.
- Match key terms related to the coordinate plane with their meaning.
- Complete a constructed response task in which you will look at a coordinate plane with labeled points, write the ordered pair, and tell the quadrant in which the point is located.
3 Closing- Reflection - Think Pair Share
Teacher will provide students with a prompt to explain how they know a point is located in Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.
Explain using words:
"How do you know a point is located in Quadrant I, Quadrant II, Quadrant III, or Quadrant IV?" Share your reflection with a classmate.
Key Standards Supported
The Number System
Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.