Performance Task on Definite Integral A sizeable bare building wall serves as a backdrop for a famous night food market in Bonifacio Glo City. To attract more customers, the owners of the market decided to decorate the wall. You are a pain who is renowned for designing regions bounded by curves. You were hired by the market owner propose a geometric pattern design and estimate the cost of paint, which will be used. You will pre your design and computations to the market owners. Your output will be subject to approval based on criteria: illustration and complexity of design, accuracy, and exactness of solutions, and report and or all presentation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 70E
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The 2 pictures attached was our activity. My question is, Other than using definite integrals, can you think of how else can the cost of paint be estimated? and illustrate it. Thank you.

SAMPLE
Performance Task on Definite Integral
A sizeable bare building wall serves as a backdrop for a famous night food market in Bonifacio Global
City. To attract more customers, the owners of the market decided to decorate the wall. You are a painter
who is renowned for designing regions bounded by curves. You were hired by the market owners to
propose a geometric pattern design and estimate the cost of paint, which will be used. You will present
your design and computations to the market owners. Your output will be subject to approval based on the
criteria: illustration and complexity of design, accuracy, and exactness of solutions, and report and over-
all presentation.
Perform the following:
1. State your proposed functions and graph.
The region bounded by the two functions f:y=0 and
g:y=x +1 has the domain D:{x|0sxS 2} .
2. Solve for the area of the region bounded by the two
functions.
The area of the region bounded by fand g is
-467
14
[* +1)-(0)}tx = = 4.67 square units
3. If 1 square unit = 10 square meters and 1 liter of paint that costs Php 200.00 can cover 13.33
square meters, exactly how much paint will be needed to render a single design on the wall?
If 1 square unit = 10 square meters, then 4.67 square units = 46.70 square meters.
To compute the cost of paint:
46.70 square meters - 13.33 square meters x Php 200 x Php 700.67
The cost of a single design is approximately Php 700.67.
Transcribed Image Text:SAMPLE Performance Task on Definite Integral A sizeable bare building wall serves as a backdrop for a famous night food market in Bonifacio Global City. To attract more customers, the owners of the market decided to decorate the wall. You are a painter who is renowned for designing regions bounded by curves. You were hired by the market owners to propose a geometric pattern design and estimate the cost of paint, which will be used. You will present your design and computations to the market owners. Your output will be subject to approval based on the criteria: illustration and complexity of design, accuracy, and exactness of solutions, and report and over- all presentation. Perform the following: 1. State your proposed functions and graph. The region bounded by the two functions f:y=0 and g:y=x +1 has the domain D:{x|0sxS 2} . 2. Solve for the area of the region bounded by the two functions. The area of the region bounded by fand g is -467 14 [* +1)-(0)}tx = = 4.67 square units 3. If 1 square unit = 10 square meters and 1 liter of paint that costs Php 200.00 can cover 13.33 square meters, exactly how much paint will be needed to render a single design on the wall? If 1 square unit = 10 square meters, then 4.67 square units = 46.70 square meters. To compute the cost of paint: 46.70 square meters - 13.33 square meters x Php 200 x Php 700.67 The cost of a single design is approximately Php 700.67.
INCLUSIVE TOPICS
Definite Integral
CONTENT STANDARD
PERFORMANCE STANDARD
The learners shall be able to formulate and solve
The learners demonstrate the understanding of
antiderivatives and Riemann integral
real-life problems accurately involving areas of
plane regions.
GOAL
Estimate the cost of painting a wall with a geometric design.
ROLE
You are a renowned painter known for designing regions bounded by curves.
AUDIENCE
Your customers will be the owners of a night food market.
A sizeable bare building wall serves as a backdrop for a famous night food market in
Bonifacio Global City. To attract more customers, the owners of the market decided to
SITUATION
decorate the wal
PRODUCT/
You have to propose a geometric pattem design and estimate the paint cost for the wall
design.
PERFORMANCE
STANDARDS FOR
Your output will be evaluated based on the illustration and complexity of design,
accuracy, and exactness of solutions, and report and over-all presentation
SUCCESS
Transcribed Image Text:INCLUSIVE TOPICS Definite Integral CONTENT STANDARD PERFORMANCE STANDARD The learners shall be able to formulate and solve The learners demonstrate the understanding of antiderivatives and Riemann integral real-life problems accurately involving areas of plane regions. GOAL Estimate the cost of painting a wall with a geometric design. ROLE You are a renowned painter known for designing regions bounded by curves. AUDIENCE Your customers will be the owners of a night food market. A sizeable bare building wall serves as a backdrop for a famous night food market in Bonifacio Global City. To attract more customers, the owners of the market decided to SITUATION decorate the wal PRODUCT/ You have to propose a geometric pattem design and estimate the paint cost for the wall design. PERFORMANCE STANDARDS FOR Your output will be evaluated based on the illustration and complexity of design, accuracy, and exactness of solutions, and report and over-all presentation SUCCESS
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