Determining the Dependent and Independent Variables [Autosaved].pptx

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1. Determining the Dependent and Independent Variables Presented by: MA. LOIEL SALOME M. NABELON Secondary School Teacher I Mathematics 8 – Quarter II

2. Basketball OBJECTIVES OBJECTIVES Determine the independent and dependent variables. Appreciate the importance of dependent and independent variables in daily living.

3. Basketball OBJECTIVES Who among you lives with your parents? Can you live without your parents? Are you a dependent or an independent individual?

4. Basketball OBJECTIVES

5. Activity 1: Let’s Connect! Direction: Match column A which represents a situation to column B which represents the result COLUMN A 1. We received 7 inches of rain in 4 hours. 2. I never brush my teeth. 3. Smoking cigarettes. 4. I push down on the stapler. 5. He broke his arm. COLUMN B a. The doctor put it in a cast. b. The papers are stapled together. c. The underpass was flooded. d. Lung cancer. e. I have 5 cavities. c e d b a

6. Group Activity: ANSWER MO, SHOW MO! Directions: Complete the given statements by writing the appropriate words on the box. Write your answer on the show-me-board. When the time is up, you will raise your answer to check whether your answer is correct or not. temperature speed time dimension kilogram

7. Group Activity: ANSWER MO, SHOW MO! temperature speed time dimension kilogram The amount paid for sugar will depend on the number of ____________ bought. The coldness of a room is dependent on its ____________. The number of letters typed is dependent on the ____________ used for encoding. The volume of a figure is dependent on its ____________. The winner in a marathon depends on his/her ____________. kilogram temperature time dimension speed

8. Group Activity: ANSWER MO, SHOW MO! Directions: Complete the given statements by writing the appropriate words on the box. Write your answer on the show-me-board. When the time is up, you will raise your answer to check whether your answer is correct or not. temperature speed time dimension kilogram The more __________ people spend using social media, the less they read books. time

9. Basketball OBJECTIVES What is the difference between independent and dependent variables? Independent variable is a variable that will change by taking on different values. It changes independently. In a relation, independent variable controls the dependent variable. It is generally represented by the 𝑥 −variable or what is referred to as the 𝑥 −value.

10. Basketball OBJECTIVES What is the difference between independent and dependent variables? Dependent variable is a variable that is affected by the independent variable, and it changes in response to the independent variable. In a relation, dependent variable depends on the independent variable. It is generally represented by the 𝑦 −variable or what is referred to as the 𝑦 −value.

11. Basketball OBJECTIVES How do we know which variable is independent and which variable is dependent? INDEPENDENT VARIABLE DEPENDENT VARIABLE It belongs on the x-axis (horizontal line) Identifies the input values for a given function A variable that represents a quantity that is being manipulated in an experiment. It belongs on the y-axis (vertical line) Identifies the outputs of the function A variable that represents a quantity whose value depends on how the independent variable is manipulated.

12. Basketball OBJECTIVES How do we know which variable is independent and which variable is dependent? INDEPENDENT VARIABLE DEPENDENT VARIABLE Changed in a scientific experiment to test the effects on the dependent variable. A variable that stands alone and does not respond to other variables. Cause Changes in response to the independent variable. A variable whose value depends on that of another. Effect

13. Remembering Variables With DRY MIX The DRY MIX acronym can help keep the variables straight: D is the dependent variable R is the responding variable Y is the axis on which the dependent or responding variable is graphed (the vertical axis) M is the manipulated variable or the one that is changed in an experiment I is the independent variable X is the axis on which the independent or manipulated variable is graphed (the horizontal axis)

14. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent the number of hours of work and salary

15. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent the number of hours of work and salary   the number of hours of work  

16. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent the number of hours of work and salary   the number of hours of work   salary

17. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent the number of hours boiling and the number of ounces of water in pot

18. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent the number of hours boiling and the number of ounces of water in pot   the number of hours boiling  

19. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent the number of hours boiling and the number of ounces of water in pot   the number of hours boiling   the number of ounces of water in pot

20. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent the distance covered and the volume of the gasoline

21. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent the distance covered and the volume of the gasoline   the volume of the gasoline  

22. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent the distance covered and the volume of the gasoline   the volume of the gasoline   the distance covered

23. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent the distance covered and the volume of the gasoline   the volume of the gasoline   the distance covered

24. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent the number of hours studied to grade on test

25. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent the number of hours studied to grade on test   the number of hours  

26. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent the number of hours studied to grade on test   the number of hours   grade on test

27. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent height of a plant to the number of months grown

28. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent height of a plant to the number of months grown   number of months grown  

29. Activity 2: Determine Us! Direction: Determine the variables as independent or dependent. Given Independent Dependent height of a plant to the number of months grown   number of months grown   height of a plant

30. Basketball OBJECTIVES Can you give some examples of dependent and independent variables in our lives? Let me ask a question…

31. Basketball OBJECTIVES How do you see the importance of independent and dependent variables in your daily living? Let me ask a question…

32. Basketball OBJECTIVES Why is it important to identify independent and dependent variables in performing an experiment in your Science subject? Understanding the differences between independent and dependent variables will help to make all your science experiments more successful. Let me ask a question…

33. Basketball OBJECTIVES What is the difference between independent and dependent variables? The independent variable is what you change, and the dependent variable is what happens because of the change. Generalization

34. Basketball OBJECTIVES How do we represent independent and dependent variables in mathematical equations? Independent variable is represented by “x” , while dependent variable is represented by “y”. Generalization

35. Quiz. (1/2 Crosswise) Direction: Determine the dependent and independent variables in the given real-life scenarios Given Independent Dependent Dave measures the length and width of each side of a rectangle . He uses those values to calculate the area of the rectangle .     The G=number of gum balls , that can be packaged in a box with a V=volume of V cubic units is given by G = 40V + 15.

36. Quiz. (1/2 Crosswise) Direction: Determine the dependent and independent variables in the given real-life scenarios Given Independent Dependent Honey measures how many inches (height) his tomato plant grows every week .     James thinks of how much electric bill she would pay at the end of the month considering the amount of air conditioning she uses .

37. Quiz. (1/2 Crosswise) Direction: Determine the dependent and independent variables in the given real-life scenarios Given Independent Dependent Alexa wonders the amount of fats and calories that her favorite cookies gives her every day .    

38. Quiz. (1/2 Crosswise) Direction: Determine the dependent and independent variables in the given real-life scenarios Given Independent Dependent Alexa wonders the amount of fats and calories that her favorite cookies gives her every day .    

39. Quiz. (1/2 Crosswise) Answers Key   Independent Dependent 1 Length and width of the side of the rectangle Area of the rectangle 2  V= volume G=number of gums balls 3  Number of weeks that the tomato grows Inches (height) 4  Amount of air conditioning used Amount of Electric bills 5  Number of cookies eaten Amount of fats and calories

40. Assignment. Direction: In a short bond paper with 1x1 inch margin, explain how independent and dependent variables are related to domain and range.

41. Study Math for a Better Path Thank you!  May God bless us all. Mathematics 8 – Quarter II