MAthematics 10 presentation for quarter 3

powerpoint presentation fro math 10

1. 10 Mathematics

2. Review: Supposed that there are two points in different coordinates, what mathematical concept can be used to measure how far each other? Distance Formula:   A B Solution:  

3. Describe and compare the images in relation to its position in the cartesian plane . The Anatomy of Earthquakes Sliced Pizza

4. Recall the center and radius of a circle given its equation. To determine the center and radius of a circle given its equation and vice-versa. Display appreciation of knowledge gained by actively answering/performing the given tasks. Objectives:

5. ACTIVITY 1 A. B. C. Directions: Match the following statements with the graph. 1. A circle with the center at (3,1) and passes through (5,2). 2. A circle with the center at (0,0) and passes through (-2,2). 3. A circle with the center at (-2,-1) and passes through the origin.

6. Equation of a Circle Figure 1: Figure 2:     ( h,k ) -Standard Form-

7. Equation of a Circle -Standard Form- The fixed-point C is the center of the circle, and the fixed distance r is called the radius. Note that r is the undirected distance from the center C to any point P on the circle. Hence, the value of r is a nonnegative real number or r>0.   In figure 1, ; r 2 = x 2 + y 2   The standard form of equation of a circle with center at the origin (0,0) and r the radius is r 2 = x 2 + y 2 .   In figure 2, ; r 2 = (x - h) 2 + (y - k) 2   The standard form of equation of a circle with center at (h, k) and r the radius is r 2 = (x - h) 2 + (y - k) 2 .  

8. Equation of a Circle     -Standard Form- The Anatomy of Earthquakes Sliced Pizza

9. Equation of a Circle Center (0,0) Radius = 10 units   Center (1,-4) Radius = 4 units 16   -Standard Form- The Anatomy of Earthquakes Sliced Pizza

10. ACTIVITY 2 CATEGORY   UNSATISFACTORY 1 point BASIC 2 points PROFICIENT 3 points DISTINGUISHED 4 points Mathematical Representations (equations, diagrams, graphs, tables, etc.) Representations are inappropriate or unclear. Representations clear and appropriate, but no connections are made between representations. Representations are clear and appropriate, with explanations of significant elements. Mentions connections among representations. Representations are clear and appropriate, with explanations of significant elements. Clearly explains connections among mathematical representations. Mathematical Communication Consistently inappropriate use of mathematical terminology and/or symbols. Adequate use of mathematical terminology and symbols; may contain minor flaws. Appropriate use of mathematical terminology and symbols. Sophisticated use of mathematical terminology and symbols. Written Communication Writing is illegible or not adequately used to record information. Writing is legible and grammatically correct. Writing is legible and well organized. Communicates clearly and effectively. Legible and grammatically correct. Score  

11. Activity 3 The Digos City Disaster and Risk Reduction Management Committee (DDRRMC) advised the residents of Brgy . Aplaya living within the 5 km radius critical area to evacuate due to eminent flood. On the map that is drawn on a coordinate plane, the coordinates corresponding to the location of the flood is (-3, -5).

12. Guide Questions: a. If each unit on the coordinate plane is equivalent to 1 km, what is the equation of the circle enclosing the critical area? b. Suppose you live at point (0,-2). Would you follow the advice of the DDRRMC? Why? c. In times of eminent disaster, what precautionary measures should you take to be safe? d. Suppose you are the leader of a two-way radio team with 15 members that is tasked to give warnings to the residents living within the critical area. Where would you position each member of the team who is tasked to inform the other members as regards the current situation and to warn the residents living within his/her assigned area? Explain your answer.

13. Guide Questions: If each unit on the coordinate plane is equivalent to 1 km, what is the equation of the circle enclosing the critical area? Answer: b. Suppose you live at point (0,-2). Would you follow the advice of the DDRRMC? Why? Answer: Yes, because (0,-2) is within the critical area. c. In times of eminent disaster, what precautionary measures should you take to be safe? Answer: Follow the advice of DDRRMC for safe evacuation. d. Suppose you are the leader of a two-way radio team with 15 members that is tasked to give warnings to the residents living within the critical area. Where would you position each member of the team who is tasked to inform the other members as regards the current situation and to warn the residents living within his/her assigned area? Explain your answer.  

14. QUIZ

15. Remediation Activity: Determine the center and radius of the circle given its equation below. 1. x 2 + y 2 = 75 2. x 2 + ( y+3) 2 = 48 3. x 2 + y 2 = 144 4. (x-4) 2 + y 2 = 18 5. (x-5) 2 + y 2 = 20

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17. Aaron Loeb T he team Project manager Juliana Silva Marketing Claudia Alves Founder Olivia Wilson Project manager

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