Quarter 3 Week 5 D2
MATHEMATICS
IMELDA G. CATUIRA
MT 1
ILAYA ELEMENTARY SCHOOL
EDITH S. MATO PH.D.
PRINCIPAL II
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 the action of the 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 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: 8−x
3.An unknown quantity less fourteen.
SOLUTION: x−14
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:
2x−8=3x+1 or 2x−8=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 ÷ 6 × 3
7 × 9 – 3 + 8
18 – 12 ÷ 6 + 7
9 × 9 ÷ 3 – 9 + 6
16 ÷ 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?
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Answer Math Challenge on page 237
3) Vincent’s weight is 6 kilograms more than Ezekiel’s weight. Daniel’s weight is 3 kilograms less than Ezekiel’s weight. Write an algebraic equation for the weight of the three boys having an average weight of 63 kilograms.
THANK YOU!