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MATHEMATICS 6

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QUARTER 3 WEEK 5 DAY 2

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PRECIE D. CABERTE

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TAMBONGAN ELEMENTARY SCHOOL

Demonstrates understanding of sequence in forming rules, expressions and equations.

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Apply knowledge of sequence, expressions, and equations in mathematical problems and real-life situations.

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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

Patterns

and

Algebra

DRILL

Tell the operation

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?

Division

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?

Subtraction

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?

Addition

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?

Multiplication

MOTIVATION

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.

PRESENTATION

What is numerical expression?

is an expression that combines numbers and one or more operation symbols

What is variable?

is any letter or symbl that represents a number

ex. “some number”

This lesson is to translate written words to numbers, operational symbols, and variables.

Example

1. Given "some number increased by 5“

What action is happening in this phrase?

(We are making larger, joining to, adding to).

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What operation indicates this action?

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(Answer: Addition) x + 5

B. "51 less than some number."

What action is happening in this phrase?

(Answer: We are decreasing, going down, subtracting).

What operation indicates this action?

(Answer: Subtraction) x - 51; taking away from the x.

C. Sum of 12 and e.

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Answer: 12 + e

DISCUSSION

Group Activity:

Translate each phrase or sentence into a mathematical expression or equation.

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1.Twelve more than a number.

2.Eight minus a number.

3.An unknown quantity less

fourteen.

4.Six times a number is fifty-four.

5.Two ninths of a number is eleven.

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1. 12 + X
2. 8 – X
3. X – 14
4. 6X = 54
5. 2/9X=11

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6.Three more than seven times a number is nine more than five times the number.

7.Twice a number less eight is equal to one more than three times the number.

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6. 3+7x=9+5x

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7. 2x−8=3x+1 

or 2x−8=1+3x

Ex. 4 A kite is flying at an altitude of m meters

a. Algebraic expression:

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m meters increased by 25

m + 25

Algebraic expression: m + 25

b. Express algebraically its new altitude after

falling 10 meters.

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m meters diminished by 10

m - 10

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Algebraic expression : m - 10

c. Represent algebraically its new altitude

after tripling its altitude.

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3 multiplied by m meters

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3 x m

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Algebraic expression: 3 X m or 3m or 3 . M

or (3) (m)

Example 5. express the number of weeks in

terms of y days.

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1 week = 7 days

y days divided by 7

y ÷ 7

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Algebraic expression: y ÷ 7 or y/7

MASTERY

Group Activity:

Translate in algebraic symbols.

1.)twice a number a divided by three

2.)five times a number x minus four

3.)Thrice the sum of a number x and six

4.) A number x is divided by two added to seven

Translate algebraic symbols into mathematical statement.

5.)5x + 2y

1. or 2a ÷ 3

2. 5x – 4

3. 3 (x + 6)

4. 7 + x / 2

or 7 + x ÷ 2

5. 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

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answers

APPLICATION

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.

What is an algebraic expression?

How do you translate real-life verbal expressions and equations into letters or symbols and vice versa?

You need to read very carefully using context clues to determine what action is required. They will need to reread some problems in order to focus on the needed information.

GENERALIZATION

EVALUATION

A. Translate algebraic expression into word phrases

31. 8 – 6 k 36. 2/p

32. 9a + 7 37. 5n + 2

33. t – 1 38. 6 – 3x

34. W + 3 39. 2(x + 6

35. 2p 40. 3 4_

m - 2

B. Solve each problem.

1. Migo weighed s kilogram. Express algebraically

his weight after he gained 2.7 kilograms.

2. Express algebraically the number of feet in z

inches. (1 foot =12 inches)

3. Samantha is y years old now.

a. represents her age 5 years from now

b. represents her age 2 years ago.

4. Aki is g centimeters tall. Pierre’s height is 4 less

thrice the height of Aki. How tall is Pierre

algebraically?

5. Romar is twice as old as Mavic. If Mavic

is q years old, Jaypee is 2 years older

than Romar.

a. If Mavic is q years old, how old is Romar

algebraically?

b. Express Jaypee’s age algebraically.

c. Write an expression for the sum of Romar

and Mavic ages.

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ASSIGNMENT

1. The average of 3 numbers is 6m. Assume that two of those numbers are 5m and 4m. What is the value of the third number?
2. A. is half of B. B is half of C. C is half of D. which of the following statement is correct?

a. A is ¼ of C

b. D is 4 times of A

c. D. is 4 times of B

d. A is ¼ of D