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Lorie Jane Letada, profile picture
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Factors on difference of two squares

The lesson plan is for a math class on factoring the difference of two squares. It outlines learning objectives, content, materials, and activities. The objectives are for students to factor differences of squares, find square roots, and understand real-world applications. Content includes the skill of factoring expressions and finding square roots. Students will do an activity investigating patterns in products of differences of squares and generalize the relationship. They will learn that to factor such expressions, the factors are the sum and difference of the square roots of the terms. An evaluation and assignment reinforce these skills.

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Republic of the Philippines Department of Education Region VII Central Visayas Division of Cebu City Quiot National High School Bogo, Quiot, Cebu City A Semi-Detailed Lesson Plan In Math 8 ___________________ Date of Teaching ____________________ Time of Teaching Quiot National High School- Afternoon Session Venue of Teaching Prepared by: LORIE JANE L. LETADA Teacher 1 Observed by: ELEANOR D. GALLARDO ASSISTANT PRINCIPAL
I. Intended Learning Outcomes Through varied learning activities, the grade 8 students with at least80 % ofaccuracy shall able to: 1. Find the square rootof each term 2. Factor the difference oftwo squares 3. Relate the importance of factoring the difference oftwo squares in real life situation II. Learning Content A. Subject Matter Factoring The Difference of Two Squares B. Skill Focus  factoring numerical expressions easily  finding the square roots ofeach term C. Reference Diaz, Z., Mojica M. (2013) . Next Century Mathematics 8; Quezon City ; Phoenix Publishing House , Inc; Mathematics 8 Learner’s Module K-12; DepEd K-12 Modified Curriculum Guide and Teacher’s Guide for Mathematics 8 http://www.themathpage.com/Alg/difference-two-squares.htm D. Materials Learners’ Module; Google Classroom; powerpointpresentation; google forms III. Learning Experiences A. Activity The students will do the activity that will help them understand the concepts ofdifference of two squares and how this pattern is used to solve numerical expressions. Investigate the number pattern by comparing the products, then write their generalizations afterwards.
B. Analysis  How do you think the products are obtained?  What are the different techniques used to solve for the products?  What is the relationship of the products to its factor?  Have you seen any pattern in this activity? C. Abstraction Factoring the difference of two squares is one of the common types of factoring a problem that is very easy to identify. The factors of the difference between two squares are the product of the sum and difference of two numbers. To factor the Difference of Two Squares: 1. Get the principal square root of each squares. 2. Using these square roots, form two factors, one a sum and the other a difference. Factor each expression carefully. 1. 𝐱 𝟐 - 25 2. 𝐛 𝟐 - 4𝐜 𝟐 𝟑. 𝟑𝟔𝐟 𝟐 - 400𝐠 𝟖 Verify first ifthe two terms are both perfect squares. 𝒂 𝟐 - 𝒃 𝟐 = ( a + b ) ( a – b ) A variable is perfect square if its exponent is even number. You can apply factoring difference of two squares, if and only if, * The two terms are both perfect squares *The operation used is subtraction. Step 1 Get the square root of each term. First Term: √𝐱 𝟐 = x Second Term: √ 𝟐𝟓 = 5 Step 2 Using x and 5 , form the sum ( x+ 5) and the difference (x – 5). Thus, 𝐱 𝟐 - 25 = (x+ 5) (x+ 5) Step 1 Get the square root of each term. First Term: √𝐛 𝟐 = b Second Term: √𝟒𝐜 𝟐 = 2c Step 2 Using b and 2c, form the sum (b + 2c) & the difference (b - 2c). Thus, 𝐛 𝟐 - 4𝐜 𝟐 = (b + 2c) (b – 2c). Step 1 Get the square root of each term. First Term: √𝟑𝟔𝐟 𝟐 = 36f Second Term: √ 𝟒𝟎𝟎𝐠 𝟖 = 20𝐠 𝟒 Step 2 Using 36f and 𝟐𝟎𝒈 𝟒 form the sum (36f + 𝟐𝟎𝒈 𝟒 ) and the difference (36f - 𝟐𝟎𝒈 𝟒 ) . Thus, 𝟑𝟔𝐟 𝟐 - 400𝐠 𝟖 = (36f + 𝟐𝟎𝒈 𝟒 ) (36f - 𝟐𝟎𝒈 𝟒 )
D.Application Factor each expression carefully. 𝟏. 𝐦 𝟐 - 81 𝟐. 𝐝 𝟐 - 16𝐞 𝟐 𝟑. 𝟏𝟎𝟎𝐫 𝟐 - 143𝐬 𝟒 IV. Evaluation Factor each expression completely. 𝟏. 𝐚 𝟐 - 1 4. 𝐝 𝟏𝟐 - 4𝐜 𝟐 𝟐. 𝟗𝐩 𝟐 - 81 5. 𝐪 𝟐 - 225𝐫 𝟒 𝟑. 𝐰 𝟒 - 169 6. 𝟏𝟎𝟎𝐫 𝟐 - 289𝐬 𝟏𝟎 V. Assignment Step 1 Step 2 Step 1 Step 2 Step 1 Step 2 Skill Booster!