Sample Lesson Plan for Grade 7 Mathematics


Semi-Detailed Lesson Plan for Mathematics 7

This is a semi-detailed lesson plan for Mathematics 7. This lesson plan is for Quarter 4 Week 1. The learning competency for this lesson is for the learner to use appropriate graphs such as pie charts, bar graphs, line graphs, and histograms to represent organized data.

Subject Matter

Subject: Mathematics 7, Quarter 4, Week 1

Topic: Organizing and Presenting Data

Learning Competency: M&SP-IVd-e-1: The learner uses appropriate graphs such as pie chart, bar graph, line graph and histogram to represent organized data.

Materials: whiteboard, marker, projector, laptop, manila paper, activity sheets

References: Mathematics 7 Learner's Material

Workbook in Elementary Statistics

Integrated Subjects:

Values: Time Management

Research: Different ways to organize and present collected data effectively

Learning Outcomes

At the end of the lesson, the students will be able to:

a. Identify the different types of data presentation

b. Determine the appropriate graphs to represent certain types of data

c. Make graphs to organize and present data effectively

Technology Tools to be Used

PowerPoint, Excel, Laptop and LCD Projector

Motivation Activity/ies

Before we begin with our lesson, let us first have a game. This game is called "charade." I know some of you already know the mechanics of the game. The groupings will be according to the column of your seats. Each group will send someone in front who will be doing the charade. I will be showing a word to that someone and he/she needs to communicate that word to his/her groupmates through actions and no talking allowed. The groupmates will then guess the word within 1 minute only and the fastest will be the winner.

(After the game)

This game is somehow related to our lesson for today so let us proceed.

Main Activity to Teach the Lesson

We already learned about how data are collected and today we are going to have another lesson.

What do you think happens after all the data are collected? (Accommodate their answers)

Well, your answers all lead to our lesson today. So after collecting data, the next thing to do is to present it. But the problem is how are you going to present the data effectively so that the message will be well communicated? Just like the game you have played a while ago, you also need to think of the best way to present the data so that your audience will understand it easily. But unlike charade that uses actions to relay the message, in the academe, there are three main ways to present data.

First is the narrative form which basically means to put it into paragraph form. This is more appropriate when there are only few data to present. (show the example in the PowerPoint)

Second is through tabular form. A table is used to arrange data in columns and rows according to classifications or categories. This is an effective and efficient means of organizing and summarizing data.

The third one which is the focus of our lesson is the graphical form. It is a pictorial presentation of a set of data. What is good with graphs is that they show the general situation just by glance.

Class, do you think it is necessary to use all the three ways to present a single set of data? Like show it in table, then show it again in a graph and make a narrative about it?

(Accommodate their answers)

Well, it is recommended to use only one among the three. Choose what you think is the most effective to present your data. You have to remember this especially when you will soon make researches in higher grades. You do not need to present it in a table then make again a graph of the same table. That is redundancy, the next thing after presenting the table or the graph should be the interpretation.

Are we clear class?

So when you choose graphical form as your way of presenting data, you need to determine what type of graph you are going to use. There are many types of graph but we will focus on these four: the pie chart, line graph, histogram and bar graph. As we go through with our discussion, I will also be demonstrating to you how you can easily make graphs using Excel software.

Let us start with the pie chart. Pie chart is simply a circle subdivided into number of slices that represents the various categories.

When is it appropriate to use pie chart? Pie chart is effective when you are dealing with percentages because it shows how the components relate to the whole. That is why it is important that the size of each slice is proportional to the percentage corresponding to it.

Can you give examples of data where pie chart can be used?

(Accommodate their answers)

Next is line graph. Line graph is a plotted frequency of a category and then joining the dots with lines.

Line graph is only used when your data show pattern of changes over time. It is effective when you want to highlight the fluctuations and trends over a period of time. Other examples where to use line graphs are the trends of teen age pregnancy in the Philippines from 2000 to 2019 and the trends of the Covid cases from Dec 2019 to April 2020.

What other examples can you think where line graph can be used?

(Accommodate their answers)

Next type of graph is the bar graph. Bar graph, by the name itself, uses bars erected vertically or horizontally and these bars represent the quantity of each category.

Bar graph is used when there are two or more categories which you like to compare in terms of frequency. For example, you want to compare the numbers of males and females from each college of BSU, bar graph is the most appropriate to use. So what you need to remember is that bar graph is used for comparison therefore there are two sets of data involved.

Give me other examples where you can use bar graph to present your data.

(Accommodate their answers.)

Last graph, that we will tackle is the histogram. Histogram is just like the bar graph however; it is not used to compare different categories instead it highlights the differences in frequency of each observation.

Histogram is used to show distribution of each category of only one set of data. For example, you want to show the distribution of the range of scores attained in an examination or the age range of the participants in a seminar, histogram is the most appropriate graph to show it.

What other examples can you think where histogram can be used?

(Accommodate their answers)

So, those are the graphs you can use to present your data. These are helpful especially in the discussion part of your research soon in your higher years because they are effective and easy to understand.

For your additional information, I will also demonstrate to you how you can make these graphs using the Excel software.

Basically, you need to put your data in a table first, highlight the table then click the insert tab and choose the chart section. In this section, there are options to choose from such as pie chart, bar graph and others, so choose the graph you want.

Demonstrate the steps. (Click the link to watch the video.)

So that is the end of our lesson. Any concern or clarification you want to raise? (Accommodate their questions)

Activity to Assess the Learning Outcomes

Application:

For this activity, I already grouped the class into four so for Group 1… (Announce the names for each group). Assign a group leader among your group. I have four strips of paper in my hands with different contents and I want all the group leaders to come in front and pick one strip. With your groupmates, read the content of the strip and choose the appropriate graph to present the data given to you. Write your answers in the manila paper I have provided. This activity is 20 points in total: 10 points for the appropriateness and completeness of the graph, 5 points for the accuracy of the graph meaning there is proportion and another 5 points for the cleanliness and creativity of your work. This activity is good for only 10 minutes so use your time wisely. Your time starts now

(Here are the problems written in the strips)

1. Present the data in a graph. The soil is composed of 25% air, 25% water, 45% mineral and 5% organic matter.

2. Present the data in a graph. The profits earned by a businessman in a period of 8 months is as follows: January, Php 200,000; February, Php 135,000; March, Php 170,000; April, Php 210,000; May, Php 250,000; June, Php 190,000; July, Php 200,00; and, August, Php 195,000.

3. Present the data in a graph. There are 5 stores selling banana cue and banana chips. Store A sells banana cue for 10 pesos and banana chips for 15 pesos, Store B sells banana cue for 8 pesos and banana chips for 20 pesos, Store C sells banana cue for 12 pesos and banana chips for 17 pesos, Store D sells banana cue fore 12 pesos and banana chips for 13 pesos and Store E sells banana cue for 15 pesos and banana chips for 13 pesos.

4. Present the data in a graph. The distribution of the weights of 30 grade 12 students of BSU-SLS is as follows: 40kg-44kg, 4 students; 45kg-49kg, 10 students; 50kg-54kg, 9 students; 55kg-59kg, 5 students; and, 60kg-64kg, 2 students.

Evaluation:

This is an individual activity. I hope you listened well with our discussion a while ago. This is a 5-item identification type of test and you will be credited 1 point for each correct answer. I will only be reading the questions twice so listen attentively. Okay, let us start.

1. Show in a graph the percentage of the ingredients of a momma. What type of graph is the most appropriate to use?

2. Given a data of the number of Filipinos attacked by heat stroke over the past months. What graph should you use to present it effectively?

3. Show in a graph the distribution of the number of single and married teachers in the different districts in the Division of Ifugao. What graph should you use?

4. You are tasked to show in a graph the frequency of the age range of the participants in a seminar. What type of graph is best to use?

5. What graph uses bars to indicate the frequency of each observation and appropriate when there is a single set of data?

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