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Detailed Lesson Plan in Elementary Algebra<br /><ul><li>Objectives
During the discussion, the students should be able to:
familiarize oneself in getting the cube root of a term;
factor sums and differences of two cubes;
formulate their own problem in factoring the sums and differences of two cubes.
Topic: “Factoring Sums and Differences of Two Cubes
Reference: Elementary Algebra by Julieta G. Bernabe pp. 209-210
Materials: Visual Aids, chalk and blackboard
Teacher’s ActivityStudent’s ActivityDaily RoutinePrayerAll stand for our opening prayer.Greetings Good morning, class!Checking of AttendanceIs there any absent from the class today?Very Good! That’s great.DrillGive the cube of the following number:1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.Very Good!ReviewLast meeting we discussed about Quadratic Trinomials, again what is a quadratic trinomial?How do you factor quadratic trinomial?Very Good! Any question?MotivationCan we get the product of (a + b) (a2 - ab + b2)?What are we going to do if we will get its product?Very Good!Write your answer on the board.Correct!How about this problem, (a - b) (a2 +ab + b2)?Very Good!What is the difference between the given examples? What do you call the result of the first example?What do you call the result of the second given example?Do you have any idea of what will be our topic today?Very Good!PresentationOur topic is about factoring the sum and difference of two cubes. In the name of the Father…. AmenGood morning ma’am!Everybody is present today.1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744, 3375.A Quadratic trinomial is a product of two binomials whose degree is 2.In factoring quadratic trinomials, the first terms of two binomials are the square roots of first of a quadratic trinomial. The second terms are the products of the third term of a quadratic trinomial and also the addends of the second term of quadratic trinomial. Yes, ma’am!We will multiply the first term of a binomial to each term in the trinomial, and then multiply the second term also to each term in the trinomial.(a + b) (a2 - ab + b2)= a3 - a2b + ab2 + a2b - ab2 + b3= a3 + b3 (a - b) (a2 + ab + b2)= a3 + a2b + ab2 - a2b + ab2 + b3= a3 - b3In the first example, the second term of a binomial has positive sign and the second term of a trinomial has negative sign, while in the second given example was just the reverse of the signs of the first example. The sign of the first example is positive while the sign of the second example is negative.The result of first given example is the sum of two cubes.The result of second given example is the difference of two cubes.I think our topic today is about the sum and difference of two cubes.