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Lesson 7. Quadratic Inequalities
Activity 1:
Let's Recall!
Activity 2:
Activity 2:
Let's Do gardening!
Let's Do gardening!
Use the situation below to answer the questions that follow. Work with your group.
Mr. Bayani has a vacant lot in his backyard. He wants to make as many rectangular gardens as possible such that the length of each garden is 2 m longer than its width. He also wants the length of the garden with the smallest area to be 3m.
questions:
questions:
Illustrate the different rectangular gardens that Mr. Bayani could make.
What are the dimensions of the different gardens that Mr. Bayani wants to make?
What is the area of each garden in item #2?
What is the area of the smallest garden that Mr. Bayani can make? How about the area of the largest garden? Explain your answer.
What general mathematical sentence would represent the possible areas of the gardens? Describe the sentence.
Using the mathematical sentence formulated, d you think you can find other possible dimensions of the gardens that Mr. Bayani wants to make? If yes, how? If not, explain.
Suppose the length of the garden that Mr. Bayani wants to make is 3 m longer than its width and teh area of the smallest garden is 10 square meters, what general mathematical sentence would repesent the possible areas of the gadens? How are you going t solve the mathematical sentence formulated? Find at least 3 possible solutions of the mathematical sentence.
Draw a graph to represent the solution set of the mathematical sentence formulated in item 7. What does the graph tell you?
Are all solutions that can be obtained from the graph true to the given situations? Why?
How did you find the activities? Do you think you are already equipped with those knowledge and skills needed to learn the new lesson? I'm sure you are! From the activities done, you wre ble to find the solutions of different mathematical sentences. You were able to differentiate quadratc equations from those which are not. More importantly, you were able to perform an activity that will lead you in understanding the new lesson. But how are quadratic equalities used in solving real- life problems and in making decisions? You will find these out in the activities in the next section. Before doing these activities, read and understand first some important notes on Quadratic Inequalities and the examples presented.
Read, Watch and learn!
Read, Watch and learn!
For better understanding of the concept, Quaratic Inequalities, read the Weekly Learning Activity Sheet or watch the video lesson. Have fun!
PERFORMANCE TASK
PERFORMANCE TASK
Perform the following activity with your group.
how much would it cost to tile a floor?
how much would it cost to tile a floor?
Find the dimensions of the floor of your classroom.
Determine the measures and cost of at least 2 different sized tiles that are available in the nearest hardware store .
Formulate quadratic inequalities involving the dimensions of the floor of your classroom and the measures and costs of tiles. Find, then, graph the solution sets of these inequalities.
Which of the 2 tiles costs much? Which of the tiles do you prefer to make use of?
Present your output in any (but not limited to) the following manner:
a. Vlog
b. Role Play
c. Broadcasting
d. Visual presentation (power point, and the like)
e. Your OWN preferred style
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