FIDP in General Mathematics-2020-2021
October 6, 2022 | Author: Anonymous | Category: N/A
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Flexible Instrucon Delivery Plan (FIDP) Semester: First Semester No. of Hours/Semester: 80 hours/semester Prerequisites (If Needed) ____________________________________ Core Subject Descripon: At the end of the course, the students must know how to solve problems involving raonal, exponenal, logarithmic funcons, to solve business-related problems; and to apply logic to real-life situaons. Culminang Performance Standard: The learners are able to apply their knowledge of Funcons, Business Mathemacs, and Logic in dealing with the intricacies of mathemacal and scienc concepts in higher educaon, entrepreneurial demands, middle-level skills development, and employment through the use of their crical and analycal thinking skills and appropriate mathemacal and nancial tools to make sound and jusable decisions. Grade: 11__________ __________________ Core Subject Title: GENERAL MA THEMATICS
What to Teach?
Content
Content Standards
Quarter: (Quarter 1) Funco The n and learner their Graphs
demonstra tes understan ding of
key concepts of funcons. .
Most Essenal Topics
Funcons
Why Teach?
How to Assess?
Learning competencies Performance Standards Complete
The learner is able to
1. Represents
accurately construct mathemac al models to represent real-life situaons using funcons.
real-life situaons using funcons, including piece-wise funcons.
KUD Classicaon
Most Essenal
Highest Thinking Skill to Assess KUD Classicaon
RBT Level
Knowing
Online: Learning
Formave Assessment Acvity:
1. Represents
real-life situaons using funcons, including piece-wise funcons.
Flexible Assessment Acvies (FAA) Performance Checks
What to Teach? Highest Enabling Strategy to Use in developing the Highest Thinking Skill to Assess Flexible Enabling General Learning Strategy Strategies (FLS)
Knowing
Understanding
Represent a single funcon as a mapping diagram, a table of values, a graph, or an equaon.
Representaon
Online quizzes through
2. Evaluates a 2. Evaluates
a funcon.
Doing
funcon. 3. Performs addion,
Materials will be uploaded using the LMS( such as so copy of modules, or online resources)
Doing
Evaluang
Evaluate a funcon given a set of ordered pairs, a table of values, a graph, or an
Reasoning Proof
(google classroom, Genyo and etc. )
3. Performs addion, subtracon, mulplicao n, division, and composion
Doing
The learner demonstr ates understa nding of key concepts of raonal funcons.
Raonal Funcons
The learner is able to
1. represents real-life
accurately formulate and solve real-life problems involving raonal funcons
situaons using raonal funcons.
2. disnguish es raonal funcon, raonal
4. represents a raonal funcon
Problem Solving Doing
Creang Create dierent representaons of yourself, using various media, to show your
problems involving funcons.
Evaluang
characteriscs and roles in life. This may be in the form of an artwork, a skit, or a song-and-dance number.
Understanding
Evaluang problems involving funcons. Formave Assessment Acvity:
Doing Doing
Knowing
1. represents real-life
Knowing
situaons using raonal funcons.
Understanding
2. disnguish es raonal funcon, raonal equaon, and raonal
Doing
Knowing
3. solves raonal equaons and inequalies. 4. represents a raonal funcon through its: (a) table of values, (b) graph, and (c) equaon.
Problem Solving
Representaon
Idenfy if a given funcon is raonal or not.
Understanding
Analyzing
inequality.
equaon, and raonal inequality. 3. solves raonal equaons and inequalies.
equaon.
4. Solves
of funcons . 4. solves problems involving funcons.
subtracon, mulplicaon , division, and composion of funcons .
Determine the characteriscs of a raonal funcon
Knowing
Online: Learning
Communicaon Online quizzes through (google classroom, Genyo and etc. )
Draw the graph of a raonal funcon given its equaon or
40 minutes virtual class via online plaorms through Zoom, Google meet
characteriscs.
and etc.
Connecons
Applying
Understanding
Oine: Oine: Video Analysis and Solving Problems
Materials will be uploaded using the LMS( such as so copy of modules, or online resources)
given its graph or equaon.
Doing
40 minutes virtual class via online plaorms through Zoom, Google meet and etc.
Representaon
Oine:: Video Oine Analysis and Solving
5. nds the domain and range of a raonal funcon. 6. determine s the: (a) intercepts; (b) zeroes; and (c)
Doing
Knowing
asymptotes of raonal funcons 7. graphs
raonal funcons 8. solves problems
Determine the equaon of a raonal funcon given its graph or characteriscs.
5. nds the domain and range of a raonal funcon. 6. determines the: (a)
through its: (a) table of values, (b) graph, and (c) equaon.
intercepts; (b) zeroes; and © Doing asymptotes of raonal funcons. 7. solves problems involving raonal
Evaluang
Reasoning Proof Evaluate the domain and range of a raonal funcon.
Representaon Knowing
Understanding
Determines the: (a) intercepts; (b)
funcons, equaons, and inequalies. Understanding
Problems
zeroes; and © asymptotes of raonal funcons. Doing
Creang
Knowing
Understanding
Solves problems involving raonal funcons, equaons, and inequalies.
Problem Solving
Doing
involving raonal funcons, equaons, and inequalies. The learner demonstr
Inverse funcons, exponen
The learner is able to apply the
1. represents real-life situations
ates understa nding of key
al funcons, and logarithmi
concepts of inverse funcons, exponenal
using one-to one functions. 2. determines
Knowing
1. represents real-life situations
Formave Assessment Acvity: Dene a one-to-one funcon.
using one-to one functions. Restrict the domain to make a one-toone funcon.
Representaon
Online: Learning Materials will be uploaded using the LMS( such as so copy of modules, or
concepts of inverse funcons, exponen al funcons, and logarithm ic funcons.
c funcons.
funcons, and logarithmic funcons to formulate and solve real life problems with precision and accuracy.
the inverse of a one-toone function. 3. represents an inverse function through its: (a) table of values, and (b) graph.
4. finds the domain and range of an inverse function 5. graphs inverse functions.
Knowing
Knowing
Doing
7. represents real-life situations using exponential functions.
4. finds the domain and range of an inverse
Knowing
Knowing
Understanding
Understanding
Dene and apply horizontal line test.
Determine inverse of
Representaons
Representaon
Knowing
using exponential functions. 7. distinguish es between exponential function, exponential equation, and exponential
Doing
Evaluang
Determine inverse of a one-to-one
Reasoning Proof Oine Oine:: Video
funcon.
Analysis and Solving Problems
Doing
Creang
Solves Problems involving inverse funcons.
Problem Solving
Knowing
Understanding
Idenfy an exponenal funcon.
Representaon
Understanding
Analyzing
Draw the graph of an exponenal funcon, and determine the characteriscs based on the equaon or the graph.
inequality.
Understanding
8. solves exponential
Online quizzes through (google classroom, Genyo and
40 minutes virtual class via online plaorms through Zoom, Google meet and etc.
real-life situations Doing
online resources)
etc. )
a funcon.
6. represents
8. distinguish es between exponential function, exponential equation, and
3. represents an inverse function through its: (a) table of values, and (b) graph.
function 5. solves problems Understanding involving inverse functions.
6. solves problems involving inverse functions.
2. determines the inverse of a one-to-one function.
Solve exponenal
Communicaon
equations and inequalities
exponential inequality. 9. solves exponential equations and inequalities 10. represent s an exponential function through its: (a) table of values, (b) graph, and (c) equation.
Doing
Knowing
Doing
asymptotes of an exponential function. 13. graphs exponential functions.
Knowing
11. determine s the intercepts, zeroes, and asymptotes of an exponential function. 12. solves problems involving exponential functions, equations, and inequalities.
14. solves problems
13. represents real-life
involving exponential functions, equations,
situations using logarithmic functions
Understanding
Evaluang
Knowing
Understanding
Representaon
Doing
Evaluang
Reasoning Proof
equaons and inequalies.
Reasoning Proof
10. finds the domain and range of an exponential function
11. finds the domain and range of an exponential function 12. determin es the intercepts, zeroes, and
9. represents an exponential function through its: (a) table of values, (b) graph, and (c) equation.
Doing
Knowing
Understanding
Determine the intercepts, zeroes, and asymptotes of an exponential
Representaon
function.
Doing
Evaluang
Solve problems involving exponential functions, equations, and inequalities.
Problem Solving
and inequalities. Doing
15. represent s real-life situations using logarithmic functions 16. distinguis hes logarithmic function, logarithmic equation, and logarithmic inequality
Knowing
Understanding
18. solves logarithmic equations and inequalities.
16. represents a logarithmic function
Understanding
Doing
18. determine s the intercepts, zeroes, and asymptotes of logarithmic functions.
Distinguish logarithmic function, Understanding
Analyzing
Doing
Evaluang
Knowing
Understanding
involving logarithmic functions, equations, and
logarithmic equation, and logarithmic inequality.
Solve logarithmic equations and inequalities.
Communicaon
Reasoning Proof
Representaon
Evaluate the domain and range of a logarithmic function. Doing
Reasoning Proof
Evaluang
Identify the intercepts, zeroes, and asymptotes of logarithmic functions.
19. solves problems Knowing
Representaon
Understanding
17. finds the domain and range of a logarithmic function.
20. finds the domain and range of a logarithmic function.
Knowing
15. solves logarithmic equations and inequalities.
through (a) tableits: of values, (b) graph, and (c) equation.
17. illustrates the laws of logarithms.
19. represent sa logarithmic function through its: (a) table of values, (b) graph, and (c) equation.
14. distinguis hes logarithmic function, logarithmic equation, and logarithmic inequality.
Knowing
Understanding
Solve involving logarithmic functions, equations, and inequalities.
Representaon
inequalities. 21. determin es the intercepts, zeroes, and asymptotes of logarithmic functions. 22. graphs logarithmic functions.
Doing
Creang
Problem Solving
Doing
Knowing
23. solves problems involving logarithmic
functions, equations, and inequalities. Understanding
Doing What to Teach?
Content
Content Standards
Quarter: (Quarter 2) The Basic learner Busines demonstrat s Mathe macs
es understand ing key
concepts of
Most Essenal Topics
Interest and Annuies
Why Teach?
How to Assess?
Learning competencies Performance Standards Complete
The learner is able to
invesgate, analyze and solve problems involving
1. illustrates simple and compound interests
2. distinguish es between
KUD Classicaon Understanding
Understanding
Most Essenal
1. illustrates simple and compound interests. 2. disnguish es between
Highest Thinking Skill to Assess KUD Classicaon
Understanding
Understanding
RBT Level
Applying
Analyzing
Flexible Assessment Acvies (FAA) Performance Checks Formave Assessment Acvity: “Empathy” Write a slogan for each formula and use of simple and compound interest, ordinary annuity or annuity due, and simple or general
What to Teach? Highest Enabling Strategy to Use in developing the Highest Thinking Skill to Assess Enabling Flexible General Learning Strategy Strategies (FLS) Connecons
Communicaon
Online: Learning Materials will be uploaded using the LMS( such as so copy of modules, or
simple and compoun d interests, and simple and general annuities.
simple and compound interests and simple and general annuies
simple and compound interests.
3. computes interest, maturity value, future value, and using appropriate present value business in simple and interest and nancial compound instruments interest . environment.
3. computes Doing
interest, maturity value, future value, and present value in simple interest and compound interest environment.
Doing
Evaluang “Self-Knowledge”
Doing
5. illustrates simple and general annuities. 6. distinguish es between simple and general annuities. 7. finds the future value and present value of both simple annuities and general annuities. 8. calculates
Understanding
Understanding
Doing
4. solves problems involving simple and compound interests. 5. illustrates simple and general annuities. 6. distinguish es between simple and general annuities. 7. finds the future value and present value of both simple annuities and general annuities.
Reasoning Proof
40 minutes virtual class via online plaorms through Zoom, Google meet and etc. Oine: Oine: Anal Analys ysis is Solving Problems
age. “Perspecve” Interview a nance analyst and ask for their ideas on proper investment and the proper age for making investments.
Online quizzes through (google classroom, Genyo and etc. )
Write a reecon paper on the purpose and use of knowing how to compute for the interests and annuies for an investment. Include in the reecon paper the importance of invesng your money wisely even at an early
4. solves problems involving simple and compound interests.
online resources)
annuity for the people could easily understand the meaning of each type of interest and annuity.
simple and compound interests.
Problem Solving
Doing
Creang
Understanding
Applying
Connecon
Understanding
Analyzing
Communicaon
Doing
Evaluang
Reasoning Proof
Vi Vide deo o an and d
the fair market value of a cash flow stream that includes an annuity. 9. calculates the present value and period of deferral of a deferred annuity.
The learner demonstrat es understand ing basic
concepts of stocks and bonds.
Stocks Stocks and Bonds
The leaner is able to use
1. illustrate stocks and
bonds. appropriate nancial instruments 2. distinguish es between involving stocks and stocks and bonds. bonds in formulang 3. describes conclusions the different and making markets for decisions. stocks and
Doing
8. calculates the fair market value of a cash flow stream that includes an annuity
9. calculates the present value and period of deferral of a Doing deferred annuity Understanding 1. illustrate stocks and
Doing
Evaluang
Reasoning Proof
Doing
Evaluang
Reasoning Proof
Understanding
Applying
Understanding
Analyzing
Knowing
Understanding
Representaon
Online quizzes through (google classroom, Genyo and etc. )
Understanding
Analyzing
Communicaon
40 minutes virtual class via online plaorms through Zoom, Google meet and etc.
bonds. 2. distinguish es between Understanding stocks and bonds.
Knowing
3. describes the different markets for stocks and
Formave Assessment Acvity: -Recitaon in an online class - Seatwork -Homework -Contribuon to group discussion
Connecon
Communicaon
bonds.
bonds. 4. analyzes the different market indices for stocks and bonds.
4. analyzes the different Understanding market indices for stocks and bonds.
5. interprets the theory of efficient markets
Doing
Online: Learning Materials will be uploaded using the LMS( such as so copy of modules, or online resources)
Oine:: Vi Vide deo o Oine Anal Analys ysis is an and d Solving
The learner demonstrat es understand ing basic concepts
Loans
of business and consumer loans
The learner is 1. illustrates able to decide business and wisely on the consumer appropriatene loans ss of
business or consumer loan and its proper utilization.
2. distinguish es between business and consumer loans. 3. solves problems involving business and consumer loans
Understanding
1. illustrates business and consumer loans
2. distinguish es between Understanding business and consumer loans.
Understanding
Applying
Formave Assessment Acvity: -Recitaon in an online class - Seatwork -Homework -Contribuon to group
Connecon
Understanding
Analyzing
discussion
Communicaon
3. solves Doing
problems involving business and consumer loans
Doing
Creang
Problem Solving
(amortization, mortgage).
(amortization , mortgage).
Problems Online: Learning Materials will be uploaded using the LMS( such as so copy of modules, or online resources) Online quizzes through (google classroom, Genyo and etc. ) 40 minutes virtual class via online plaorms through Zoom, Google meet and etc. Oine Oine:: Vi Vide deo o Anal Analys ysis is an and d Solving
Logic
The Proposion learner s demonstr ates understan ding of key concepts of proposio nal logic; logic; syllogisms and fallacies.
The lea learner rner is able to judiciously apply logic in real-life arguments.
1. illustrates a proposition. 2. symbolize s propositions 3. distinguish es between simple and compound propositions. 4. performs
Understanding
1. illustrates and symbolizes proposions.
Understanding
Applying
Understanding
Analyzing
Understanding Understanding
2. disnguish es between simple and compound proposions. 3. performs
Formave Assessment Acvity: Case Analysis: Students will analyze the given cases and present a soluon supported by the line of reasoning employed and assumpons made.
-Recitaon in an online class - Seatwork
Connecon
Communicaon
Problems Online: Learning Materia Materials ls wil willl be up uplo load aded ed using the LMS( LMS( such such as s o o c o op py of m odu odule les, s, or online resources) Online quizzes Online quizzes through (google classroom,
the different types of operations on propositions. 5. determines the truth values of propositions. 6. illustrates the different forms of conditional propositions.
Understanding
Knowing
4. determines
Understanding
Knowing
Applying
Understanding
-Homework -Contribuon to group discussion
Connecon
Representaon
the truth values of proposions
Understanding
5. illustrates the dierent forms of condional proposions.
Understanding
Applying
Connecon
Understanding
6. illustrates dierent types of tautologies and fallacies.
Understanding
Applying
Connecon
7. Illustrates different types of tautologies and fallacies.
the dierent types of operaons on proposions.
Genyo and etc. ) 80 mi n nu u te te s virtual class via online plaorms through Zoom, Go Goog ogle le me meet et and etc. Distance: Distance: Text Illustraon: Discussion through mo du dul e ess on dierent diere nt types of tauto tautologies logies and fallacies.
Pr Pre e re reco cord rded ed vide videos os to be saved saved in as ash h drive or SD Card.
Blended: Dis Discus cussio sion n on dierent diere nt types of tauto tautologies logies and fallacies.
Boardwork and qui quizzes zzes of the dierent diere nt types of tauto tautologies logies and fallacies. The
Proof and
The learner
1. Determine
learner demonstr ates understan ding of
Disproof
ris able to appropriatel y apply a method of
s the validity of categorical syllogisms.
Knowing
1. Determines the validity of categorical syllogisms. 2.Establishes
Knowing
Understanding
Representaon
Online: Learning Materia Materials ls wil willl be up uplo load aded ed using the LMS( LMS( such such as
key methods of proof and disproof
proof and disproof in real-life situaons.
2.Establishes the validity and falsity of Knowing real-life arguments using logical propositions, syllogisms, and fallacies.
the validity and falsity of real-life arguments using logical propositions,, propositions syllogisms, and fallacies.
Knowing
Understanding
Representaon
s o o c o op py m odu odule les, s, online resources)
of or
Online quizzes Online quizzes through (google classroom, Genyo and etc. ) 80 mi n nu u te te s virtual class via online plaorms through Zoom, Go Goog ogle le me meet et and etc. Distance: Distance: Text Illustraon: Discussion through mo du dul e ess on dierent diere nt types of tauto tautologies logies and fallacies.
Pr Pre e
re reco cord rded ed
vide videos os to be saved saved in as ash h drive or SD Card.
Blended: Dis Discus cussio sion n on dierent diere nt types of tauto tautologies logies and fallacies.
Boardwork and quizzes of the dierent types
of tautologies and fallacies.
Performance Task: Task: The class will be divided into 5 groups. Each of the group will be given an adversement wherein they are going to crique, by determining the tautologies and fallacies presented. The students will validate the premises and conclusions through individual video presentaons and post it to the FB page.
Rubric for the Performance Task
CRITERIA
4
3
2
1
Organization
Extremely well-organized (Opening, Body-Closing plus transition)
Ge nerally, w weell or orga nize d
Sometimes o orrganize d
Poor or or no non-existent or organization
Depth of Content
Level of presentation is appropriate for the audience
Level of presentation is generally appropriate
Portions of presentation are too elementary or too sophisticated for the audience
Presentation is consistently too elementary or too sophisticated for the audience
Delivery
Poised, clear articulation; reporter is Clear articulation but not as polished; slightly uncomfortable uncomfortable at clearly comfortable in front of the times group
Vocabulary is somewhat limited or inappropriate; uses incorrect grammar; seem uncomfortable
Difficulties with grammar and appropriate vocabulary; reporter is obviously anxious
Personal Appearance of the Reporter(s)
Personal appearance is completely appropriate for the occasion and the audience
Personal appearance is for the most part, appropriate for the occasion and the audience
Personal appearance is somewhat inappropriate for the occasion and audience
Personal appearance as inappropriate for the occasion and audience
Audience Response
Held the audience’s attention throughout
Held the audience’s attention must of the time
Went off off topic aand nd lost the audience audience
Audience Audience lost lost interest interest
Total
Prepared by: MS. CARMI F. LUCHAVEZ
SCORE
❑ 20
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