# Adding and Subtracting Polynomials - Math 7 Q2W4 LC1

Carlo LunaTeacher at DepEd Angeles City um DepEd Angeles City
1 von 30

Lesson 1: Special Products von
Lesson 1: Special ProductsPerla Pelicano Corpez
13.4K views71 Folien
Lesson plan in mathematics 8 (Factoring Perfect Square Trinomial) von
Lesson plan in mathematics 8 (Factoring Perfect Square Trinomial) Rachel Ann
7.4K views5 Folien
Lesson plan on Evaluating Rational Algebraic Expression von
Lesson plan on Evaluating Rational Algebraic ExpressionLorie Jane Letada
2.2K views4 Folien
Detailed Lesson Plan in Mathematics von
Detailed Lesson Plan in MathematicsAbbygale Jade
27.9K views7 Folien
Lesson Plan in Algebra von
Lesson Plan in Algebrajanehbasto
93.1K views7 Folien
Lesson plan on factoring polynomial with common monomial factor von
Lesson plan on factoring polynomial with common monomial factorLorie Jane Letada
3.3K views5 Folien

## Was ist angesagt?

Evaluating Algebraic Expressions - Math 7 Q2W4 LC1 von
Evaluating Algebraic Expressions - Math 7 Q2W4 LC1Carlo Luna
2.1K views31 Folien
Contextualized Lesson Plan in Math 7 Linear Equation in One Variable von
Contextualized Lesson Plan in Math 7 Linear Equation in One VariableDepartment of Education - Philippines
3.2K views9 Folien
Factoring Non-Perfect Square Trinomial Lesson Plan von
Factoring Non-Perfect Square Trinomial Lesson PlanLorie Jane Letada
858 views5 Folien
Adding and subtracting polynomials von
Adding and subtracting polynomialsholmsted
7.8K views8 Folien
6.6K views7 Folien
Polynomials Mathematics Grade 7 von
Polynomials Mathematics Grade 7Yojam Mhajhoye Ebora Garcia
9K views8 Folien

### Was ist angesagt?(20)

Evaluating Algebraic Expressions - Math 7 Q2W4 LC1 von Carlo Luna
Evaluating Algebraic Expressions - Math 7 Q2W4 LC1
Carlo Luna2.1K views
Factoring Non-Perfect Square Trinomial Lesson Plan von Lorie Jane Letada
Factoring Non-Perfect Square Trinomial Lesson Plan
Lorie Jane Letada858 views
Adding and subtracting polynomials von holmsted
Adding and subtracting polynomials
holmsted7.8K views
Lesson plan-advanced algebra Grade 7 von yhuds
yhuds6.6K views
Lesson plan in mathematics iv von Erwin Cabigao
Lesson plan in mathematics iv
Erwin Cabigao11.7K views
Adding Polynomials von chulitt
chulitt8.1K views
Lesson plan about statistics math 7 von Jaybie09
Lesson plan about statistics math 7
Jaybie0918.1K views
Graphing polynomial functions (Grade 10) von grace joy canseco
Graphing polynomial functions (Grade 10)
grace joy canseco7.4K views
5As Method of Lesson Plan on Ssolving systems of linear equations in two vari... von Elton John Embodo
5As Method of Lesson Plan on Ssolving systems of linear equations in two vari...
Elton John Embodo4.4K views
Translating Verbal Phrases to Algebraic Expression von Carlo Luna
Translating Verbal Phrases to Algebraic Expression
Carlo Luna15.1K views
Math 8 - Linear Inequalities in Two Variables von Carlo Luna
Math 8 - Linear Inequalities in Two Variables
Carlo Luna4.4K views
lesson plan on Addition & subtraction of integers von Cheryl Asia
lesson plan on Addition & subtraction of integers
Cheryl Asia13.3K views
Lesson plan in mathematics 9 (illustrations of quadratic equations) von Decena15
Lesson plan in mathematics 9 (illustrations of quadratic equations)
Decena1511.7K views
Add/Subtracting Polynomials von swartzje
swartzje993 views

## Similar a Adding and Subtracting Polynomials - Math 7 Q2W4 LC1

Unit 3 polynomials von
Unit 3 polynomialsGenny Phillips
2.4K views11 Folien
Polynomials von
PolynomialsVer Louie Gautani
24.6K views33 Folien
Polynomials and factoring von
Polynomials and factoringShilpi Singh
3K views45 Folien
Prashant tiwari ppt.on von
Prashant tiwari ppt.on Prashant tiwari
198 views46 Folien
348 views10 Folien
Algebra von
2.9K views17 Folien

### Similar a Adding and Subtracting Polynomials - Math 7 Q2W4 LC1(20)

Polynomials and factoring von Shilpi Singh
Polynomials and factoring
Shilpi Singh3K views
Addsub poly von zoffben
zoffben348 views
Algebra Tiles Pp Version 2 von guest880c6c
Algebra Tiles Pp Version 2
guest880c6c6K views
Adding and subtracting polynomials von ewhitener
Adding and subtracting polynomials
ewhitener488 views
Algebraic Simplification and evaluation von Puna Ripiye
Algebraic Simplification and evaluation
Puna Ripiye1.1K views
7 3elimination von taco40
7 3elimination
taco40405 views
Expresiones Algebraicas, Factorización y Radicación. von AnmyAbileneSiviraMic
Expresiones Algebraicas, Factorización y Radicación.

## Más de Carlo Luna

Math 8 - Solving Problems Involving Linear Functions von
Math 8 - Solving Problems Involving Linear FunctionsCarlo Luna
4.7K views18 Folien
Math 8 - Linear Functions von
Math 8 - Linear FunctionsCarlo Luna
2.4K views17 Folien
Math 8 - Systems of Linear Inequalities in Two Variables von
Math 8 - Systems of Linear Inequalities in Two VariablesCarlo Luna
2K views29 Folien
The Process of Conducting Educational Research von
The Process of Conducting Educational ResearchCarlo Luna
1.7K views42 Folien
K to 12 Curriculum von
K to 12 CurriculumCarlo Luna
7.2K views31 Folien
Factoring Perfect Square Trinomials Worksheet von
Factoring Perfect Square Trinomials WorksheetCarlo Luna
12K views2 Folien

### Más de Carlo Luna(20)

Math 8 - Solving Problems Involving Linear Functions von Carlo Luna
Math 8 - Solving Problems Involving Linear Functions
Carlo Luna4.7K views
Math 8 - Linear Functions von Carlo Luna
Math 8 - Linear Functions
Carlo Luna2.4K views
Math 8 - Systems of Linear Inequalities in Two Variables von Carlo Luna
Math 8 - Systems of Linear Inequalities in Two Variables
Carlo Luna2K views
The Process of Conducting Educational Research von Carlo Luna
The Process of Conducting Educational Research
Carlo Luna1.7K views
K to 12 Curriculum von Carlo Luna
K to 12 Curriculum
Carlo Luna7.2K views
Factoring Perfect Square Trinomials Worksheet von Carlo Luna
Factoring Perfect Square Trinomials Worksheet
Carlo Luna12K views
Factoring the Sum and Difference of Two Cubes Worksheet von Carlo Luna
Factoring the Sum and Difference of Two Cubes Worksheet
Carlo Luna15.2K views
Factoring Techniques: Difference of Two Squares von Carlo Luna
Factoring Techniques: Difference of Two Squares
Carlo Luna4.7K views
Factoring Techniques: Common Monomial Factor von Carlo Luna
Factoring Techniques: Common Monomial Factor
Carlo Luna18.8K views
Factoring the Difference of Two Squares Worksheet von Carlo Luna
Factoring the Difference of Two Squares Worksheet
Carlo Luna16.4K views
Factoring the Common Monomial Factor Worksheet von Carlo Luna
Factoring the Common Monomial Factor Worksheet
Carlo Luna42.5K views
Square of a Binomial (Special Products) von Carlo Luna
Square of a Binomial (Special Products)
Carlo Luna3.4K views
Product of Two Binomials (FOIL Method) von Carlo Luna
Product of Two Binomials (FOIL Method)
Carlo Luna6.8K views
Properties of Real Numbers and Equality - Mathematics 8 (3rd Quarter) von Carlo Luna
Properties of Real Numbers and Equality - Mathematics 8 (3rd Quarter)
Carlo Luna4.1K views
Cartesian Coordinate Plane - Mathematics 8 von Carlo Luna
Cartesian Coordinate Plane - Mathematics 8
Carlo Luna3.3K views
Mode of Grouped Data - Math 7 (4th Quarter) von Carlo Luna
Mode of Grouped Data - Math 7 (4th Quarter)
Carlo Luna7.6K views
Circle and Its Part - Math 7 (3rd Quarter) von Carlo Luna
Circle and Its Part - Math 7 (3rd Quarter)
Carlo Luna8K views
Philippine Folk Dances with Asian Influence - MAPEH 8 (P.E. 4th Quarter) von Carlo Luna
Philippine Folk Dances with Asian Influence - MAPEH 8 (P.E. 4th Quarter)
Carlo Luna118.1K views
The Dangers of Alcohol - MAPEH 8 (Health 4th Quarter) von Carlo Luna
The Dangers of Alcohol - MAPEH 8 (Health 4th Quarter)
Carlo Luna53K views
The Dangers of Cigarette Smoking - MAPEH 8 (Health 4th Quarter) von Carlo Luna
The Dangers of Cigarette Smoking - MAPEH 8 (Health 4th Quarter)
Carlo Luna77.3K views

## Último

Psychology KS5 von
Psychology KS5WestHatch
68 views5 Folien
STERILITY TEST.pptx von
STERILITY TEST.pptxAnupkumar Sharma
114 views9 Folien
ACTIVITY BOOK key water sports.pptx von
ACTIVITY BOOK key water sports.pptxMar Caston Palacio
350 views4 Folien
JiscOAWeek_LAIR_slides_October2023.pptx von
JiscOAWeek_LAIR_slides_October2023.pptxJisc
72 views8 Folien
Plastic waste.pdf von
Plastic waste.pdfalqaseedae
110 views5 Folien
Drama KS5 Breakdown von
Drama KS5 BreakdownWestHatch
64 views2 Folien

### Último(20)

Psychology KS5 von WestHatch
Psychology KS5
WestHatch68 views
JiscOAWeek_LAIR_slides_October2023.pptx von Jisc
JiscOAWeek_LAIR_slides_October2023.pptx
Jisc72 views
Plastic waste.pdf von alqaseedae
Plastic waste.pdf
alqaseedae110 views
Drama KS5 Breakdown von WestHatch
Drama KS5 Breakdown
WestHatch64 views
Lecture: Open Innovation von Michal Hron
Lecture: Open Innovation
Michal Hron95 views
OEB 2023 Co-learning To Speed Up AI Implementation in Courses.pptx von Inge de Waard
OEB 2023 Co-learning To Speed Up AI Implementation in Courses.pptx
Inge de Waard165 views
Class 10 English lesson plans von TARIQ KHAN
Class 10 English lesson plans
TARIQ KHAN239 views
Narration ppt.pptx von TARIQ KHAN
Narration ppt.pptx
TARIQ KHAN110 views
Classification of crude drugs.pptx von GayatriPatra14
Classification of crude drugs.pptx
GayatriPatra1465 views
ISO/IEC 27001 and ISO/IEC 27005: Managing AI Risks Effectively von PECB
ISO/IEC 27001 and ISO/IEC 27005: Managing AI Risks Effectively
PECB 457 views
Class 10 English notes 23-24.pptx von TARIQ KHAN
Class 10 English notes 23-24.pptx
TARIQ KHAN95 views
Narration lesson plan.docx von TARIQ KHAN
Narration lesson plan.docx
TARIQ KHAN99 views
EIT-Digital_Spohrer_AI_Intro 20231128 v1.pptx von ISSIP
EIT-Digital_Spohrer_AI_Intro 20231128 v1.pptx
ISSIP256 views
Compare the flora and fauna of Kerala and Chhattisgarh ( Charttabulation) von AnshulDewangan3
Compare the flora and fauna of Kerala and Chhattisgarh ( Charttabulation)
AnshulDewangan3275 views
The basics - information, data, technology and systems.pdf von JonathanCovena1
The basics - information, data, technology and systems.pdf
JonathanCovena177 views

### Adding and Subtracting Polynomials - Math 7 Q2W4 LC1

• 1. Adding and Subtracting Polynomials MATHEMATICS 7 Quarter 2 Week 4 MR. CARLO JUSTINO J. LUNA
• 2. LEARNING COMPETENCY Adds and subtracts polynomials (M7ALIId-2) LEARNING OBJECTIVES At the end of the discussion, the learners will be able to: • Add polynomials • Subtract polynomials • Solve problems involving addition and subtraction of polynomials
• 3. LAMIYLOPNO An algebraic expression that represents a sum of one or more terms containing whole number exponents on the variables VOCABULARY POLYNOMIAL
• 4. MONOMIAL A polynomial with one term VOCABULARY
• 5. BINOMIAL A polynomial with two terms VOCABULARY
• 6. TRINOMIAL A polynomial with three terms VOCABULARY
• 7. MULTINOMIAL A polynomial with four or more terms VOCABULARY
• 8. REVIEW How do we add integers? How do we subtract integers?
• 9. DRILL Add or subtract the following integers. 1. 13 + 8 2. 15 + (−4) 3. (−20) + (−9) 4. 8 − (−3) 5. −12 − 4
• 12. Analysis: 1. What did we do in our activity? 2. How did we group the objects? Activity: We Group as One!
• 13. Just as you can perform operations on numbers, you can perform operations on polynomials.
• 14. What are Like Terms? Like terms are terms that have the exact same variable part, they must have the same variables raised to the same powers. SAME VARIABLES, SAME EXPONENTS 3𝑥 and −5𝑥 −8𝑦2 and 12𝑦2 −5𝑎2𝑏5 and 7𝑎2𝑏5
• 15. You can only combine terms together if they are like terms. If they aren't like terms, you must keep them separate.
• 16. 2𝑥 + 3𝑦 + 4𝑥 Let 𝑥 be a circle, and y be a triangle. 2𝑥 + 3𝑦 + 4𝑥 = 6𝑥 + 3𝑦
• 17. ADDITION OF POLYNOMIALS To add like terms together, you add the coefficients and keep the variable part the same. 𝟒𝒙 + 𝟑𝒙 = 𝟕𝒙 Add the coefficients. The variable part stays the same.
• 18. ADDITION OF POLYNOMIALS • There are two (2) common methods by which we add algebraic expressions. • Let’s take the following example: (7𝑥𝑦 + 5𝑦𝑧 − 3𝑥𝑧) + (4𝑦𝑧 + 9𝑥𝑧 − 4𝑦) + (−2𝑥𝑦 − 3𝑥𝑧 + 5𝑥)
• 19. In vertical form, align the like terms and add. (7𝑥𝑦 + 5𝑦𝑧 − 3𝑥𝑧) + (4𝑦𝑧 + 9𝑥𝑧 − 4𝑦) + (−2𝑥𝑦 − 3𝑥𝑧 + 5𝑥) 7𝑥𝑦 + 5𝑦𝑧 − 3𝑥𝑧 + 4𝑦𝑧 + 9𝑥𝑧 − 4𝑦 + − 2𝑥𝑦 − 3𝑥𝑧 + 5𝑥 5𝑥𝑦 + 9𝑦𝑧 + 3𝑥𝑧 + 5𝑥 − 4𝑦 Method 1
• 20. In horizontal form, use the Associative and Commutative Properties to regroup and combine like terms. (7𝑥𝑦 + 5𝑦𝑧 − 3𝑥𝑧) + (4𝑦𝑧 + 9𝑥𝑧 − 4𝑦) + (−2𝑥𝑦 − 3𝑥𝑧 + 5𝑥) = 7𝑥𝑦 − 2𝑥𝑦 + 5𝑦𝑧 + 4𝑦𝑧 + −3𝑥𝑧 + 9𝑥𝑧 − 3𝑥𝑧 + 5𝑥 − 4𝑦 = 5𝑥𝑦 + 9𝑦𝑧 + 3𝑥𝑧 + 5𝑥 − 4𝑦 Method 2
• 21. Example 1: Adding Polynomials A. (4m2 + 5) + (m2 – m + 6) (4m2 + 5) + (m2 – m + 6) (4m2 + m2) + (–m) +(5 + 6) 5m2 – m + 11 Identify like terms. Group like terms together. Combine like terms. B. (10xy + x) + (–3xy + y) (10xy + x) + (–3xy + y) (10xy – 3xy) + x + y 7xy + x + y Identify like terms. Group like terms together. Combine like terms.
• 22. Example 2: Adding Polynomials (6x2 – 4y) + (3x2 + 3y – 8x2 – 2y) Identify like terms. Combine like terms in the second polynomial. Combine like terms. (6x2 – 4y) + (3x2 + 3y – 8x2 – 2y) (6x2 – 4y) + (–5x2 + y) (6x2 –5x2) + (–4y + y) x2 – 3y Simplify.
• 23. SUBTRACTION OF POLYNOMIALS To subtract polynomials, remember that subtracting is the same as adding the opposite. To find the opposite of a polynomial, you must write the opposite of each term in the polynomial: –(2x3 – 3x + 7)= –2x3 + 3x – 7
• 24. Example 1: Subtracting Polynomials Subtract. (x3 + 4y) – (2x3) (x3 + 4y) + (–2x3) (x3 + 4y) + (–2x3) (x3 – 2x3) + 4y –x3 + 4y Rewrite subtraction as addition of the opposite. Identify like terms. Group like terms together. Combine like terms.
• 25. Example 2: Subtracting Polynomials Subtract. (7m4 – 2m2) – (5m4 – 5m2 + 8) (7m4 – 2m2) + (–5m4 + 5m2 – 8) (7m4 – 5m4) + (–2m2 + 5m2) – 8 (7m4 – 2m2) + (–5m4 + 5m2 – 8) 2m4 + 3m2 – 8 Rewrite subtraction as addition of the opposite. Identify like terms. Group like terms together. Combine like terms.
• 26. Example 3: Subtracting Polynomials Subtract. (–10x2 – 3x + 7) – (x2 – 9) (–10x2 – 3x + 7) + (–x2 + 9) (–10x2 – 3x + 7) + (–x2 + 9) –10x2 – 3x + 7 –x2 + 0x + 9 –11x2 – 3x + 16 Rewrite subtraction as addition of the opposite. Identify like terms. Use the vertical method. Write 0x as a placeholder. Combine like terms.
• 27. REAL-LIFE MATHEMATICS A farmer must add the areas of two plots of land to determine the number of seed to plant. The area of plot A can be represented by 3𝑥2 + 7𝑥 − 5 and the area of plot B can be represented by 5𝑥2 − 4𝑥 + 11. Write a polynomial that represents the total area of both plots of land. (3x2 + 7x – 5) (5x2 – 4x + 11) 8x2 + 3x + 6 Plot A. Plot B. Combine like terms. +
• 28. REAL-LIFE MATHEMATICS The profits of two different manufacturing plants can be modeled as shown, where x is the number of units produced at each plant. Use the information to the right to write a polynomial that represents the total profits from both plants. –0.03x2 + 25x – 1500 Eastern plant profit. –0.02x2 + 21x – 1700 Southern plant profit. Combine like terms. + –0.05x2 + 46x – 3200
• 29. SUMMARY ADDITION OF POLYNOMIALS To add like terms together, you add the coefficients and keep the variable part the same. SUBTRACTION OF POLYNOMIALS To subtract polynomials, remember that subtracting is the same as adding the opposite.
Aktuelle SpracheEnglish
Español
Portugues
Français
Deutsche
© 2023 SlideShare von Scribd