illustrate rectangular coordinate plane
Presentation
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Mathematics
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8th Grade
•
Hard
JUN DESCARGAR
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38 Slides • 0 Questions
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1. In which of the following statements describes Rectangular Coordinate System?
a. It is used for naming points in a plane.
b. It is a plane containing the coordinates and ordinates.
c. It is used to determine the location of a point by using a single number.
d. It is a two dimensional plane which is divided by the axes into four regions called quadrants.
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a. w
b. x
c. y
d. z
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3. What is the point of intersection of the two axes?
a. base
b. edge
c. origin
d. plane
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4. Which of the following comes first in writing coordinates?
a. quadrant
b. abscissa
c. ordinate
d. origin
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5. In what quadrant does the point (x, y) lie if x < 0 and y > 0?
a. I
b. II
c. III
d. IV
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6. Give the coordinates of the point 2 units to the left of y-axis and 7 units below the x-axis.
a. (2, 7)
b. (7, 2)
c. (-2, -7)
d. (-7, -2)
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7. Point A has the coordinates (5, -2). Andi indicated that it is located in Quadrant IV. Do you agree with her answer?
a. Yes, because in Quadrant IV, the values of x are positive and the values of y are negative.
b. No, because in Quadrant IV, the values of x are positive and the values of y are positive.
c. Yes, because in Quadrant IV, the values of x are negative and the values of y are positive.
d. No, because in Quadrant IV, the signs are the values of x are negative and the values of y are negative.
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8. Which of the following statements best
describes the point (3, -4)?
a. It is 4 units above the x-axis and 3 units to the left of the y-axis.
b. It is 4 units below the x-axis and 3 units to the left of the y-axis.
c. It is 4 units above the x-axis and 3 units to the right of the y-axis.
d. It is 4 units below the x-axis and 3 units to the right of the y-axis.
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9. Which of the following statements best describes these set of ordered pairs? (5, 4), (3, 2), (1, 0), (-1, 0), (-3, 3)
a. The points are coplanar.
b. The points are collinear.
c. The points are coplanar and collinear.
d. The points are coplanar but non – collinear.
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For item numbers 10 – 15, refer to the figure at the right.
10. In what quadrant/axis does the point I lie?
a. I
b. II
c. x – axis
d. y – axis
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For item numbers 10 – 15, refer to the figure at the right.
11. In what quadrant does the point B lie?
a. I
b. II
c. III
d. IV
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For item numbers 10 – 15, refer to the figure at the right.
12. What are the coordinates of the point D?
a. (4, 0)
b. (0, 4)
c. (-4, 0)
d. (0, -4)
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For item numbers 10 – 15, refer to the figure at the right.
13. What are the coordinates of the point G?
a. (4, 0)
b. (0, 4)
c. (-4, 0)
d. (0, -4)
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For item numbers 10 – 15, refer to the figure at the right.
14. What point is represented by the coordinates (-3,-4)?
a. C
b. D
c. E
d. F
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For item numbers 10 – 15, refer to the figure at the right.
15. What point is represented by the coordinates (6, 3)?
a. D
b. H
c. E
d. A
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Activity 1: Represent Me!
Direction: Use positive or negative number to express the change in the following situations.
Write your answers on the space provided.
__________ 1. The temperature in Region 12 rises up to 36OC.
__________ 2. You have Php10.00 savings from your allowance.
__________ 3. Due to COVID 19, the price of a liter of gasoline decreases by P3.00.
__________ 4. There five points demerit from passing a requirement late.
__________ 5. He got a test score of 4 points above the passing mark.
__________ 6. The temperature of a freezer is set at 16O below zero.
__________ 7. It is a freezing point of water.
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Questions:
1. Plot the answers on the number line.
_______________________________________________
2. Based on the number line, which integer comes first?
_______________________________________________
3. Where is zero found on the number line?
______________________________________________
4. Which integers are seen on the left side of zero?
______________________________________________
5. What about on the right side of zero?
______________________________________________
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Activity 2: First Day High
Directions: Read the situation carefully and answer the followings questions below.
On the first day of school, Teacher Lea prepared a seating arrangement for her class with 25 students. She created 5 columns with 5 armchairs in each row. Lauren seated on the third row at the second armchair and Adrian seated on the second row at the third armchair.
Probing questions:
1. Using the illustration above, write L where Lauren and
A where Adrian seated.
2. Are their seats the same? Why?
______________________________________
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Activity 3: Locate the Coordinates!
Direction: Determine the coordinates and quadrant or axis where the indicated places belong. The first one is done for you as an example.
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Activity 4: You Complete Me! Direction: Fill-in the blank with the correct word or phrase to
complete each sentence.
1. The point with coordinates (-5, 3) can be graphed on the __________ coordinate system.
2. The coordinates of the origin is __________.
3. The vertical axis of the Cartesian plane is called the __________.
4. The horizontal axis of the Cartesian plane is called the __________.
5. The pair of numbers (2, 4) is called a/an __________ pair.
6. In the ordered pair (0, -8), the -8 is called the __________.
7. In the ordered pair (5, 9), the 5 is called the __________.
8. The x – coordinate can also be called as __________.
9. The four regions formed by the coordinate axes are called the __________.
10. The intersection of the coordinate axes is called the __________.
11. In plotting a point, always starts at the __________.
12. To plot the point with coordinates (-5, 3), start at the origin and move 5 units to the ___ of y – axis.
13. Refer to item number 12, and move 3 units __________ of x – axis.
14. To plot the point with coordinates (9, -2), start at the origin and move 9 units to the ___ of y – axis.
15. Refer to item number 14, and move 2 units __________ of x – axis.
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Activity 5: Coordin-Art
Direction: Make your own school map using graphing paper, ruler, pencil or pen, and any coloring material. Your output will be assessed using the rubric below:
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Assessment
Let us test how far you have understood the lessons by answering the following questions.
Direction: Encircle the letter of the correct answer.
1. Who discovered the Rectangular Coordinate System?
a. Galileo Galilee
b. Pythagoras
c. Rene Descartes
d. Albert Einstein
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2. In which of the following statements describes abscissa?
a. It is the y-coordinate.
b. It is the x-coordinate.
c. It is a point on the xy-plane.
d. It divides the plane into four regions called quadrant.
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3. In what quadrant does the point (x, y) is located if x > 0 and y < 0?
a. I
b. II
c. III
d. IV
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4. Give the coordinates of the point 5 units above the x-axis and 9 units to the left y-axis.
a. (5, 9)
b. (9, -5)
c. (-9, -5)
d. (-9, 5)
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5. Give the coordinates of the point 4 units above and 3 units to the right of X(-1, 5).
a. (2, 9)
b. (-2, -9)
c. (3, 8)
d. (-3, -8)
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6. Point A has coordinates (-8, 5). Andi said that it is located in Quadrant III. Do you agree with her answer?
a. Yes, because in Quadrant III, the values of x are positive and the values of y are negative.
b. No, because in Quadrant III, the values of x are positive and the values of y are positive.
c. Yes, because in Quadrant III, the values of x are negative and the values of y are positive.
d. No, because in Quadrant III, the values of x are negative and the values of y are negative.
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7. Point Z has coordinates (9, 0). Adrianne said that it is located in Quadrant I. Do you agree with her answer?
a. Yes, because in Quadrant I the values of x are positive.
b. No, because the point is on the y – axis.
c. Yes, because in Quadrant I the values of x are positive and the values of y are positive.
d. No, because the point is on the x – axis.
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8. Which of the following statements best describes the point (-2, 9)?
a. It is 2 units above the x-axis and 9 units to the left of the y-axis.
b. It is 2 units below the x-axis and 9 units to the left of the y-axis.
c. It is 2 units above the x-axis and 9 units to the right of the y-axis.
d. It is 2 units below the x-axis and 9 units to the right of the y-axis.
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9. In which of the following best describes these set of points?
(-7, 0), (-4, 2), (-1, 4), (2, 6), (5, 8),
a. The points are coplanar.
b. The points are collinear.
c. The points are coplanar and collinear.
d. The points are coplanar but non – collinear.
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For item numbers 10 – 15, refer to the figure at the right.
10. In what quadrant does point A lie?
a. I
b. II
c. III
d. IV
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For item numbers 10 – 15, refer to the figure at the right.
11. In what quadrant/axis does point H lie?
a. I
b. II
c. x – axi
d. y - axis
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For item numbers 10 – 15, refer to the figure at the right.
12. What are the coordinates of the point C?
a. (-3, -2)
b. (-2, -3)
c. (-3, 2)
d. (-2, 3)
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For item numbers 10 – 15, refer to the figure at the right.
13. What are the coordinates of the point B?
a. (3, 0)
b. (-3, 0)
c. (0, -3)
d. (0, 3)
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For item numbers 10 – 15, refer to the figure at the right.
14. What point is represented by the coordinates (3, 0)?
a. F
b. D
c. B
d. E
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For item numbers 10 – 15, refer to the figure at the right.
15. What point is represented by the coordinates (-5,-3)?
a. I
b. E
c. D
d. A
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This is another activity that you will surely enjoy while doing it independently as your assignment.
Direction: Someone is hiding in the picture. Are you ready to meet him? Plot these points on the Cartesian Plane below. Connect the points alphabetically. (For example, connect A to B, B to C, and so on.)
A (0, 3) G (1, 3) M (3, 3) S (-2, -3)
B (-3, 4) H (2, 6) N (4, 1) T (-4, 0)
C (-5, 7) I (3, 8) O (4, -1) U (-4, 1)
D (-6, 10) J (5, 10) P (2, -3) V (-3, 2)
E (-3, 8) K (5, 7) Q (-1, -4) W (0, 3)
F (0, 5) L (4, 4) R (0, -2)
Again, plot the following:
X (3, -4) Y (4, -6) Z (1, -4) A1 (1, -6) B1 (3, -4)
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