Outcomes-Based Teaching Learning Plan in Graph Theory for BSED-Math Students in College

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GOV. ALFONSO D. TAN COLLEGE
Bachelor of Secondary Education – Math (BSED-Math)
Outcomes – Based Teaching and Learning Plan in Elementary Statistics & Probability
Course Title Elementary Statistics and Probability Course Code Math 105
Credit Units 3 Course Pre-/Co-requisites College and Advanced Algebra
Course Description
This course presents the basic statistical concepts involved in the design and data analysis of experiments. It also introduc es students to the mathematics of
chance, including fundamental counting techniques, probability distribution and mathematical expectations. It shows the application of math in decision
making. The course includes applications and data analysis with computations carried out using SPSS.
Program Intended
Learning Outcomes
(PILO)
At the end of this course, BSME graduates will have the ability to:
a. Articulate the rootedness of education in philosophical, socio-cultural, historical, psychological, and political contexts.
b. Demonstrate mastery of subject matter/discipline.
c. Facilitate learning using a wide range of teaching methodologies and delivery modes appropriate to specific learners and their environments.
d. Develop innovative curricula, instructional plans, teaching approaches, and resources for diverse learners.
e. Apply skills in the development and utilization of ICT to promote quality, relevant, and sustainable educational practices.
f. Demonstrate a variety of thinking skills in planning, monitoring, assessing, and reporting learning processes and outcomes .
g. Practice professional and ethical teaching standards sensitive to the local, national, and global realities.
h. Pursue lifelong learning for personal and professional growth through varied experiential and field-based opportunities.
i. Exhibit competence in mathematical concepts and procedures.
j. Exhibit proficiency in relating mathematics to other curricular areas.
k. Manifest meaningful and comprehensive pedagogical content knowledge (PCK) of mathematics.
l. Demonstrate competence in designing, constructing and utilizing different forms of assessment in mathematics.
m. Demonstrate proficiency in problem-solving by solving and creating routine and non-routine problems with different levels of complexity.
n. Use effectively appropriate approaches, methods, and techniques in teaching mathematics including technological tools.
o. Appreciate mathematics as an opportunity for creative work, moments of enlightenment, discovery and gaining insights of the world.
Course Intended
Learning Outcomes
(CILO)
At the end of this course, the students should be able to:
a. distinguish between quantitative data and qualitative data;
b. construct statistical tables
c. derive other types of frequency distributions from a simple frequency table
d. calculate the mean, median and mode of both ungrouped and grouped data
e. calculate and interpret the various measures of variation
Alfonsos as Lux Mundi: Serving Humanity with Empowered Mind, Passionate Heart and Virtuous Soul

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f. differentiate permutations and combinations
g. apply the different laws of probability
h. determine probability values using the appropriate probability distribution
i. apply the concept of a sampling distribution to probability problems
j. distinguish between a point estimate and an interval estimate
k. formulate statistical hypotheses
MIDTERM Essential Learning
Intended Learning Outcomes
(ILO)
Suggested
Teaching/Learning
Activities (TLAs)
Assessment
Tasks (ATs)Week Content Standards
Declarative
Knowledge
Functional Knowledge
1-2
Demonstrate familiarity in
Frequency Distributions
Frequency Distribution
1. The Array
2. The FrequencyDistribution
3. Construction ofa Frequency
Distribution
4. DerivedFrequency
Distributions
5. GraphicalRepresentations of
FrequencyDistributions
-discussing the array and the
concept of frequency distribution
-discussing the process in
constructing frequency distribution
-graphing the frequency distrbution
-set up a frequency distribution for a mass of data
-derive other types of frequency distribution from
a simple frequency table
-interpret different types of frequencies
-construct histograms, frequency polygons, and
ogives
Lecture Method
Group Interactive discussion
Board Work
Group Activity
Evaluative Quiz
Group Output:
Construction of
Frequency distribution
3-4
Demonstrate Understanding
in Measures of Central
Tendency and Other
Measures of Position
Measures of Central tendency
and Other Measures of Position
1. Statistics, Parameters, and
Symbols
2. The Mean
3. The Median
4. The Mode
5. Mean, MedianandSkewness
6. Other Measures of Position
-discussing the process of
computing the measures of central
tendency: mean, median and mode
of both ungrouped and grouped
data
-discussing the other measures of
positions: quartiles, decile,
percentile and percentile ranks
-discuss the use of and limitations of each
measure of central tendency
-calculate the mean, median, mode of ungrouped
data
-calculate the mean, median, and mode of
grouped data
-calculate and interpret the various measures of
position
-determine the percentile rank of a given value
with a distribution
Lecture Method
Group Interactive discussion
Board Work
Group Activity
Evaluative Quiz
Group Output:
Computation of the
measures of the central
tendency of the gathered
data
5-7
Demonstrate
understanding in Measures
of Variation
. Measures of Variation
1. The Range
2. Interquartile Range and
Quartile Deviation
3. The MeanDeviation
4. The Variance andStandard
Deviation
5. Uses of the StandardDeviation
6. Measures ofRelative
Dispersion
-discussing the process in
computation each measure of
Variation; range, interquartile and
quartile deviation, mean deviation,
variance and standard deviation
-discussing the measures of
relative dispersion, skewness and
kurtosis
-discuss the importance of a measure of variation
-calculate and interpret the various mesures of
variation
-describe a given set of data in terms of
variability, skewness, and kurtosis
Lecture Method
Group Interactive discussion
Board Work
Group Activity
Evaluative Quiz
Concept Paper on the
Uses of Variance and
Standard deviation

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7. Measures ofSkewness
8. Measure of Kurtosis
8
Demonstrate understanding
in Permutations and
Combinations
Permutations and Combinations
1. The FundamentalPrinciple of
Counting
2. Permutations
3. Combinations
-discussing the process of the
fundamental principle of counting,
permutations and combinations
-count efficiently by applying the Fundamental
Principle of Counting
-differentiate permutations and combinations
-perform combinatorial analyses
Lecture Method
Group Interactive discussion
Board Work
Group Activity
Evaluative Quiz
Individual Output on
Obtaining permutation
and combination from the
given distinct cases
9-10
Demonstrate understanding
in Probability
Probability
1. Definitionof Probability
2. Types of Probability
3. Marginal Probabilityand Joint
Probability
4. MutuallyExclusive andNon-
mutuallyExclusive Events
5. The AdditionRule
6. Conditional Probability
7. Dependent andIndependent
Events
8. The MultiplicationRule
9. ContingencyTables
- defining probability and explain
the its types
-differentiating mutually exclusive
and non-mutually exclusive events
-discussing the process of addition
rule
-discussing the conditional
probability
-differentiating the dependent and
independent events
-discussing the process of the
multiplication rule
-discussing contingency tables
-define probability
-discuss the three different approaches to the
study of probability theory
-apply the different laws pf probability
-interpret probability values
-make use of the concept of probability in ordinary
decision-making problems
Lecture Method
Group Interactive discussion
Board Work
Group Activity
Evaluative Quiz
FINALS
11-13
Demonstrate
understanding in Probability
Distributions
Probability Distributions
1. Random Variables
2. ProbabilityDistributions
3. Binomial Probability
Distribution
4. Hypergeometric Probability
Distribution
5. PoissonProbabilityDistribution
6. The Meanof a Discrete
Probability
7. The Variance of a Discrete
ProbabilityDistribution
8. The Normal Distribution
9. The Normal Approximation to
the Binomial Distribution
-identifying random variables and
discussing the process of
probability distributions
-differentiating the binomial
probability distribution and
Hypergeometric distribution and
Poisson probability distribution
Discussing the mean and the
variance of the discrete probability
distribution
-discussing the concept of normal
distribution and the normal
approximation to the binomial
distribution
- discuss the concept of random variables
-identify the different types of probability
distributions
-discuss the Bernoulli process
-calculate the mean and standard deviation of a
discrete probability distribution
-choose the appropriate probability distribution for
a given situation
-determine probability values using the
appropriate probability distribution
-explain the significance of the standard normal
distribution
Lecture Method
Group Interactive discussion
Board Work
Group Activity
Evaluative Quiz
Group PowerPoint
presentation with rubrics
on the distribution of
probability with distinct
case each group
14-15
Demonstrate
understanding in Sampling
Distributions
Sampling Distributions
1. The Concept of Sampling
Distribution
2. SamplingDistributionof the
-explaining the concept of sampling
distribution
-discussing the process of getting
the mean of sampling distribution
- generate a sampling distribution rom a small
population
-discuss the properties of a sampling distribution
of the mean
Lecture Method
Group Interactive discussion
Group Activity
Evaluative Quiz

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Revision
Mean
3. The central Limit Theorem
-explaining the central limit
theorem
-compute the mean and the standard deviation pf
a sampling distribution of the mean
-apply the concept of a sampling distribution to
probability problems
Board Work
Group presentation with
rubrics on Sampling
distribution
16-18
Demonstrate Understanding
in Test of Hypothesis
Test of Hypothesis
1. Statistical Hypotheses
2. Two types ofErrors
3. Level of Significance
4. One-tailedandTwo-tailed
Tests
5. Steps inHypothesis testing
6. Testing a Hypothesized Value
of the mean
7. Testing the Difference
BetweenTwo Means
-creating statistical hypothesis
-identifying and differentiating two
types of Errors; Type I: Rejecting
the True and Type II: Accepting the
False
-discussing each step in testing
hypothesis
-discussing the process of testing a
hypothesized value of the mean
-determining and testing the
difference between two means
-formulate statistical hypotheses
-discuss the two types of errorsin hypotheses
testing
-establish a decision rule for accepting ro
rejecting a statistical hypothesis at a specified
level of significance
-distinguish between the one-sample case and
two-sample case in test of hypothesis concerning
means
-choose the appropriate test statistics for a
particular set of data
Lecture Method
Group Interactive discussion
Board Work
Group Activity
Evaluative Quiz
Individual output of
Testing Hypothesis
Basic Readings Febre, F. (2002). Introduction to Statistics.
Extended Readings ElementaryStatistics: A step by Step Process
Course Assessment As identifiedin the Assessment Task
Course Policies LanguageofInstructions
English
Attendance
As identifiedin the student handbook
Homework,Quizzes,Written Reports,ReactionPapersand Portfolio
Special Requirement
GradingSystem
SummativeQuizzes - 50%
PerformanceTask–40%
Periodical Exam - 50%
100%
Classroom RulesandRegulations
Respectmustexercise all the time

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Committee Members CommitteeLeader : Elton John B.Embodo
Members :
Consultation Schedule FacultyMember : EltonJohn B. Embodo
ContactNumber : 09107619989
E-mailaddress : eltonjohn439@yahoo.com
ConsultationHours: 8:00AM-5:00PM Friday
TimeandVenue : 8:00AM-5:00PM FridayITE Office
Course Title A.Y. Term of
Effectivity
Prepared by Checked by Approved by Page/s
Elementary
Statistics
2018 - 2019 ELTON JOHN B. EMBODO. LPT
Mathematics Instructor
NORIEL B. ERAP, MEd
Dean, ITE
LOVE H. FALLORAN, MSCRIM
VP for Academics
5