Rectangular Coordinate System II
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This document discusses key concepts related to the rectangular coordinate system: - It aims to summarize concepts of the Cartesian plane, explain its real-life uses, and demonstrate its representation through shapes and maps. - It reviews plotting points on the Cartesian plane by providing examples of completing sentences with the correct coordinate system terms like axes, quadrants, and ordered pairs. - It explains how to identify the quadrant a point is located in based on the signs of its x- and y-coordinates. - It poses assignment questions about linear equations in two variables, including how to determine if an ordered pair is a solution to such an equation.
Rectangular Coordinate System II
- 2. Objectives: • Summarize concepts related to rectangular coordinate system; • State the useful of Cartesian plain in real-life situations; and • Create a simple representation that shows the use of the concept of the rectangular coordinate system (i.g., shapes, map reading, etc.)
- 3. REVIEW!!! Complete each sentence with the correct word or phrase. a. The point with coordinates (-5 , 3) can be graphed on the ___________________. b. The coordinates of the origin is __________________. c. The vertical axis of the Cartesian plane is called the ___. d. The pair of numbers (2 , 4) is called a/an _____________ pair. e. In the ordered pair (7 , -8), the -8 is called the ________.
- 4. REVIEW!!! f. The x-coordinate is also called the ____________. g. The intersection of the coordinate axes is called the ____________. h. To plot the point with the coordinates (4 , -6), start at the _____________ and move 4 units to the _______________ and then move 6 units _______________. i. To plot the point with coordinates (- ½ , 3), start at the _______________ and move ½ units to the ______________ and then move 3 units ____________.
- 5. REVIEW!!! Complete each sentence with the correct word or phrase. a. The point with coordinates (-5 , 3) can be graphed on the Cartesian plane/ x-y plane. b. The coordinates of the origin is (0 , 0). c. The vertical axis of the Cartesian plane is called the yaxis/ordinate. d. The pair of numbers (2 , 4) is called a/an ordered pair. e. In the ordered pair (7 , -8), the -8 is called the yaxis/ordinate.
- 6. REVIEW!!! f. The x-coordinate is also called the abscissa. g. The intersection of the coordinate axes is called the origin. h. To plot the point with the coordinates (4 , -6), start at the origin and move 4 units to the right and then move 6 units downward. i. To plot the point with coordinates (- ½ , 3), start at the origin and move ½ units to the left and then move 3 units upward.
- 7. To determine the quadrant for a given ordered pair, consider the signs of the coordinates: (+,+) means the point is in the first quadrant (-,+) means the point is in the second quadrant (-,-) means the point is in the third quadrant (+,-) means the point is in the fourth quadrant
- 9. Example: In which quadrant is each point located? a. ( 7 , -3 ) b. ( 5 , 5 ) c. ( -3 , -8 ) d. ( -10 , 4 ) e. ( 42 , 0 )
- 10. Assignment: a. When is an equation called a linear equation in two variables? Give an examples. b. Discuss how you will determine whether an ordered pair is a solution of a linear equation in two variables. Give examples.
- 11. Thank You!!! That in all things, God may be Glorified!!!