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Understanding Statistics in Mathematics Lesson Plan - Prof. Alvarez, Study notes of Statistics

University of Eastern Philippines (UEP)Statistics
Prof. Marlo Alvarez

This detailed lesson plan for grade 7 students covers the importance of statistics, data collection, and data analysis in mathematics. The plan includes preliminary activities, motivational songs, group activities, and assessments to help students understand the concepts of statistics, descriptive statistics, inferential statistics, population, sample, and raw data. The lesson plan encourages critical thinking and active participation from students.

Typology: Study notes

2023/2024

Uploaded on 04/03/2024

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A Detailed Lesson Plan in Mathematics
Date: April 1 & 2, 2024
Grade & Section: Grade 7 – Daffodil, Daisy, Gumamela, Stargazer, and Sunflower
Time: 7:15 – 8:15 am, 9:30 – 10:30 am, 10:30 – 11:30 am, 1:00 – 2:00 pm, & 3:00 – 4:00 pm
I. OBJECTIVES
A. Content Standard
The learner demonstrates understanding of key concepts, uses and importance of statistics, data
collection/ gathering and the different forms of data representation, measures of central tendency,
measure of variability, and probability.
B. Performance Standards
The learner is able to collect and organize data systematically and compute accurately measures of central
tendency and variability and apply these appropriately in data analysis and interpretation in different
fields.
C. Learning Competencies Objectives
The learner explain the importance of statistics.
D. Specific Objectives:
At the end of the learning session, the students will be able to:
1. Define Statistics.
2. Explain the importance of Statistics.
3. Value the importance of statistics to real-life situations.
II. CONTENT
Importance of Statistics
III. LEARNING RESOURCES
CG Code: M7SP-Iva-1
TG Page: 233-234
LM/Other References: Mathematics Learner’s Materials 7
IV. PROCEDURE
Teacher’s Activity Student’s Activity
A. Preliminary Activity
Prayer
Greetings and setting of policy.
Checking of attendance
Collecting of assignment
1. Review
Before we start discussing our new lesson, let us have
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A Detailed Lesson Plan in Mathematics Date: April 1 & 2, 2024 Grade & Section: Grade 7 – Daffodil, Daisy, Gumamela, Stargazer, and Sunflower Time: 7:15 – 8:15 am, 9:30 – 10:30 am, 10:30 – 11:30 am, 1:00 – 2:00 pm, & 3:00 – 4:00 pm I. OBJECTIVES A. Content Standard The learner demonstrates understanding of key concepts, uses and importance of statistics, data collection/ gathering and the different forms of data representation, measures of central tendency, measure of variability, and probability. B. Performance Standards The learner is able to collect and organize data systematically and compute accurately measures of central tendency and variability and apply these appropriately in data analysis and interpretation in different fields. C. Learning Competencies Objectives The learner explain the importance of statistics. D. Specific Objectives: At the end of the learning session, the students will be able to:

  1. Define Statistics.
  2. Explain the importance of Statistics.
  3. Value the importance of statistics to real-life situations. II. CONTENT Importance of Statistics III. LEARNING RESOURCES CG Code: M7SP-Iva- TG Page: 233- LM/Other References: Mathematics Learner’s Materials 7 IV. PROCEDURE Teacher’s Activity Student’s Activity A. Preliminary Activity Prayer Greetings and setting of policy. Checking of attendance Collecting of assignment 1. Review Before we start discussing our new lesson, let us have

first a short review. (The teacher will draw inside the box the name of students who will answer the following questions: )

  1. It is a segment that connects any two points of a circle.
  2. A chord that passes through the center of a circle and it is the longest chord of a circle and it is twice the length of a circle's radius.
  3. It is an angle whose vertex is on the circle's center, and whose sides intersect the circle at two points.
  4. It is a portion of a circle determined by a central angle.
  5. The set of all points that are the same distance from a fixed point. That’s right! 2. Motivation Now let’s sing a song. Data, Data (In tune of Twinkle, Twinkle Little Star) Data, Data What are you? We COLLECT you, oh it's true. ANALYZE you that's my plan INTERPRET to understand Data, Data what are you? I'll PRESENT you right on cue. Thank you class for participating!! 3. Lesson Proper A. Activity Direction: The class will be divided into 4 groups. Each group will answer the quick survey. Quick Survey: In a 1/4 sheet of pad paper, answer the following questions.
  6. Ask your groupmates, how much was their allowance daily?
  7. Tally how many received an allowance, below Php. 20.00, exactly 20.00, and above Php. 20.00. _________________Below Php 20. _________________Exactly Php 20. _________________Above Php 20. B. Analysis Ma'am, Chord. Ma'am, Diameter. Ma'am, Central Angle. Ma'am, Minor Arc. Ma'am, Radius. (The class will sing the song) (The class do their activity)

Class, what is Data? Very good! In the study of statistics we will meet such words as population, sample and raw data. Population includes the entire set of observations or measurements under study. Examples : The total number of sari-sari stores in a town, residents of a barangay, dialects in the Philippines, or students in Salaysay National High School and others. What is Sample? What are the examples of Sample? That's right! While Raw data are the actual numerical results of the survey which have to be organized and summarized. C. Abstraction Again class, what is statistics? What are the two kinds of statistics? What is the difference between Descriptive and Inferential statistics? What are the three terms of statistics? What are the differences between population, sanple and raw data? Very good! Do you have any clarification? Ma'am, Data are units of information, often numeric, recorded and used for the purpose of analysis. Ma'am, Sample refers to the set of observations taken from the population. Ma'am the examples of Sample are: a group of 150 students chosen from the different grade levels, a handful of sugar examined from a sack of sugar or three favorite subjects of all students in San Jose Technical High School. Statistics is the study of the collection of, organization, analysis, interpretation, and presentation of data. Ma'am the two kinds of statistics are Descriptive and Inferential. Ma'am, Descriptive statistics summarize and describe data, while inferential statistics draw conclusions and make predictions about populations based on sample data. Ma'am, the three terms of statistics are Population, Sample and Raw data. Ma'am, Population data refers to all the information that is being analyzed, while sample data is a smaller subset of that information. Raw data are the actual numerical results of the survey which have to be organized and summarized. None ma’am

D. Application Cite some example where you think statistics is applied. Very good, class! E. Assessment Get 1/4 sheet of paper. Identify the following: Identification: Select the correct word in the box.

  1. It is the actual numerical results of the survey which have to be organized and summarized.
  2. It includes the entire set of observations or measurements under study.
  3. It refers to the set of observations taken from the population.
  4. It is the study of the collection of, organization, analysis, interpretation, and presentation of data.
  5. It draws conclusions like decisions, predictions or generalizations about the data set.
  6. It is the science of organizing and summarizing numerical data. F. Assignment In a 1/2 sheet of paper explain the importance of statistics. Some examples of statistics is commonly applied are: Business and Economics, Healthcare, Education, Government and Public Policy, Quality Control and Manufacturing, Finance and Insurance, and other example that requires data gathering process and analysis.
    1. Raw Data
    2. Population
    3. Sample
    4. Statistics
    5. Inferential Statistics
    6. Descriptive Statistics Statistics plays a criucial role in daily life by providing a systematic way to collect, analyze, and interpret data. It helps educators improve teaching methods and assess the performance of the students, healthcare professionals assess treatment effectiveness, and business to make informed decision. Prepared by: Moreno, Richell P. BSEd Mathematics 4