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MATH 6 PPT Q3 W6 - Real-Life Verbal Expressions And Equations Into Letters Or Symbols, Variable In An Algebraic Expression And Equation,.pptx

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LuisSalenga1

This document provides examples for teaching students how to translate phrases and sentences into algebraic expressions and equations. It includes sample phrases and sentences with the corresponding algebraic translations. Students practice translating phrases such as "twelve more than a number" to algebraic expressions like "12+x". The document also provides examples of evaluating algebraic expressions and translating expressions back to verbal phrases.

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MATH 6 PPT Q3 W6 - Real-Life Verbal Expressions And Equations Into Letters Or Symbols, Variable In An Algebraic Expression And Equation,.pptx
Objectives: Gives the translation of real-life verbal expressions and equations into letters or symbols and vice versa. M6AL-IIIe-16 Defines a variable in an algebraic expression and equation. M6AL-IIIe-17 Represents quantities in real-life situations using algebraic expressions and equations. M6AL-IIIe-18
Drill: 1.The cafeteria bought lots of frozen pizzas to serve. If you know the total amount of money they spent and how many pizzas they bought, how could you figure out the cost of 1 pizza? Why do you believe that? What is the action of this operation? 2.)Pete bought some candy and gave some of the pieces to his best friend, Hal. How could you figure out how many pieces Pete has left? Why do you believe this? What is
2.)Pete bought some candy and gave some of the pieces to his best friend, Hal. How could you figure out how many pieces Pete has left? Why do you believe this? What is the action of the operation? 3. Bob and Tyler do not have enough money to buy a box of donuts, but they have the exact amount needed if they combine their money. How would you find the cost of a box of donuts? What is the action of this operation?
4.Macy wants to buy each of her classmates a Coke. How would you figure out the cost? What is the action of this operation?
4.Macy wants to buy each of her classmates a Coke. How would you figure out the cost? What is the action of this operation?
B. Establishing a purpose What expression describes President Rodrigo Duterte? If we use expressions to describe our President, we also use expressions in Mathematics, to describe relationships between numbers and the operations being used.
C. Presenting examples/ instances Define an expression for students Variable is a placeholder . "Some number" is a phrase that indicates a variable is needed a.Example: Given "some number increased by 5", ask students, "What action is happening in this phrase?" (Answer: We are making larger, joining to, adding to). Then ask, "What operation indicates this action?" (Answer: Addition) x + 5
Group Activity: Translate each phrase or sentence into a mathematical expression or equation. 1.Twelve more than a number. SOLUTION: 12+x 2.Eight minus a number. SOLUTION: 8x 3.An unknown quantity less fourteen. SOLUTION: x14 4.Six times a number is fifty-four. SOLUTION: 6x=54 5.Two ninths of a number is eleven. SOLUTION: 2/9x=11
6.Three more than seven times a number is nine more than five times the number. SOLUTION 3+7x=9+5x 7.Twice a number less eight is equal to one more than three times the number. SOLUTION: 2x8=3x+1 or 2x8=1+3x
E. Discussing new concepts Discuss examples 4-5 on page 228-229 of Mathletes txbk. Lulu comes from school with a heavy heart because of homework. Her elder brother gives her a helping hand. He has seen the following:
Evaluate the expressions: 12 3 + 18 歎 6 3 7 9 3 + 8 18 12 歎 6 + 7 9 9 歎 3 9 + 6 16 歎 4 5 7 + 8
F. Developing Mastery Group Activity: Translate in algebraic symbols. 1.)twice a number a divided by three Ans:2a / 3 2.)five times a number x minus four Ans:5x - 4 3.)Thrice the sum of a number x and six Ans:3 (x + 6) 4.) A number x is divided by two added to seven Ans:7 + x / 2
Translate algebraic symbols into mathematical statement. 5.)5x + 2y the product of five X added to the product of two and y the sum of five times x and two times y five times x increased by twice y twice and more than five times x
G. Finding practical application of concepts Pair-share: 1. Translate into verbal phrases. a.)3x - 4 b.)n + 8 c.)2 / x + y d.)5y - 2 e.)2x + 3
2. Translate in algebraic symbols. a.eight times a number x increased by three. b.five times a number n added to six. c.fifteen added to the quotient of a number y and two. d.twenty four multiplied by the sum of x and y. e.the sum of the number n and seven multiplied by two.
H. Making Generalizations What rule would you follow in order to perform the order of operation? _
Answer Math Challenge on page 237 1. Aldrin bought 5 pencils and 7 notebooks. A notebook costs P10.80 more than a pencil. Write an algebraic equation showing that the total amount of yje school supplies bought is P210.00 2. Art is twice as old as Ken. Ten years ago, he was four times as old as Ken. Write the algebraic equation for their ages ten years ago.
3) Vincents weight is 6 kilograms more than Ezekiels weight. Daniels weight is 3 kilograms less than Ezekiels weight. Write an algebraic equation for the weight of the three boys having an average weight of 63 kilograms.
THANK YOU!

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MATH 6 PPT Q3 W6 - Real-Life Verbal Expressions And Equations Into Letters Or Symbols, Variable In An Algebraic Expression And Equation,.pptx

  • 2. Objectives: Gives the translation of real-life verbal expressions and equations into letters or symbols and vice versa. M6AL-IIIe-16 Defines a variable in an algebraic expression and equation. M6AL-IIIe-17 Represents quantities in real-life situations using algebraic expressions and equations. M6AL-IIIe-18
  • 3. Drill: 1.The cafeteria bought lots of frozen pizzas to serve. If you know the total amount of money they spent and how many pizzas they bought, how could you figure out the cost of 1 pizza? Why do you believe that? What is the action of this operation? 2.)Pete bought some candy and gave some of the pieces to his best friend, Hal. How could you figure out how many pieces Pete has left? Why do you believe this? What is
  • 4. 2.)Pete bought some candy and gave some of the pieces to his best friend, Hal. How could you figure out how many pieces Pete has left? Why do you believe this? What is the action of the operation? 3. Bob and Tyler do not have enough money to buy a box of donuts, but they have the exact amount needed if they combine their money. How would you find the cost of a box of donuts? What is the action of this operation?
  • 5. 4.Macy wants to buy each of her classmates a Coke. How would you figure out the cost? What is the action of this operation?
  • 6. 4.Macy wants to buy each of her classmates a Coke. How would you figure out the cost? What is the action of this operation?
  • 7. B. Establishing a purpose What expression describes President Rodrigo Duterte? If we use expressions to describe our President, we also use expressions in Mathematics, to describe relationships between numbers and the operations being used.
  • 8. C. Presenting examples/ instances Define an expression for students Variable is a placeholder . "Some number" is a phrase that indicates a variable is needed a.Example: Given "some number increased by 5", ask students, "What action is happening in this phrase?" (Answer: We are making larger, joining to, adding to). Then ask, "What operation indicates this action?" (Answer: Addition) x + 5
  • 9. Group Activity: Translate each phrase or sentence into a mathematical expression or equation. 1.Twelve more than a number. SOLUTION: 12+x 2.Eight minus a number. SOLUTION: 8x 3.An unknown quantity less fourteen. SOLUTION: x14 4.Six times a number is fifty-four. SOLUTION: 6x=54 5.Two ninths of a number is eleven. SOLUTION: 2/9x=11
  • 10. 6.Three more than seven times a number is nine more than five times the number. SOLUTION 3+7x=9+5x 7.Twice a number less eight is equal to one more than three times the number. SOLUTION: 2x8=3x+1 or 2x8=1+3x
  • 11. E. Discussing new concepts Discuss examples 4-5 on page 228-229 of Mathletes txbk. Lulu comes from school with a heavy heart because of homework. Her elder brother gives her a helping hand. He has seen the following:
  • 12. Evaluate the expressions: 12 3 + 18 歎 6 3 7 9 3 + 8 18 12 歎 6 + 7 9 9 歎 3 9 + 6 16 歎 4 5 7 + 8
  • 13. F. Developing Mastery Group Activity: Translate in algebraic symbols. 1.)twice a number a divided by three Ans:2a / 3 2.)five times a number x minus four Ans:5x - 4 3.)Thrice the sum of a number x and six Ans:3 (x + 6) 4.) A number x is divided by two added to seven Ans:7 + x / 2
  • 14. Translate algebraic symbols into mathematical statement. 5.)5x + 2y the product of five X added to the product of two and y the sum of five times x and two times y five times x increased by twice y twice and more than five times x
  • 15. G. Finding practical application of concepts Pair-share: 1. Translate into verbal phrases. a.)3x - 4 b.)n + 8 c.)2 / x + y d.)5y - 2 e.)2x + 3
  • 16. 2. Translate in algebraic symbols. a.eight times a number x increased by three. b.five times a number n added to six. c.fifteen added to the quotient of a number y and two. d.twenty four multiplied by the sum of x and y. e.the sum of the number n and seven multiplied by two.
  • 17. H. Making Generalizations What rule would you follow in order to perform the order of operation? _
  • 18. Answer Math Challenge on page 237 1. Aldrin bought 5 pencils and 7 notebooks. A notebook costs P10.80 more than a pencil. Write an algebraic equation showing that the total amount of yje school supplies bought is P210.00 2. Art is twice as old as Ken. Ten years ago, he was four times as old as Ken. Write the algebraic equation for their ages ten years ago.
  • 19. 3) Vincents weight is 6 kilograms more than Ezekiels weight. Daniels weight is 3 kilograms less than Ezekiels weight. Write an algebraic equation for the weight of the three boys having an average weight of 63 kilograms.