## As part of the mini-research paper in Mathematics of Grade 10 Demeter, they conducted a survey on the numbo the students of Grade 10-Hermes spend in studying their lessons at home. The result of the survey is as follows: Number of Number of Minutes Students 101-115 15 86-100 5 71-85 9 56-70 10 6 41-55 26-40 5 Find and interpret the following: a. first quorfie b. third decile c. 90 percentile

Q1= 55.5 + (12.5-11/10)15

= 55.5 + (1.5/10)15

= 55.5 + 2.25

D3= 55.5 + (15-11/10)15

= 55.5 + (4/10)15

P90= 100.5 + (45-35/15)15

= 100.5 + (10/15)15

= 100.5 + 10

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## As part of the mini-research paper in Mathematics of Grade 10-Demeter, they conducted a survey on the number of minutes the students of Grade 10-Hermes spend in studying their lessons at home. The result of the survey is asfollows: Number of Number ofStu- Find and interpret the following: Minutes dents 101-115 15 A. first quartile -Q_1 86-100 5 B. third decile -D_3 71-85 9 C. 90 percentile—P9o 56-70 10 41-55 6 26-40 5

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## A Mini Research For Math Grade 10

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A GUIDELINE TO WRITE MINI-PAPER/RESEARCH PAPER ON TOPICS RELATED TO INTERNATIONAL CONSTRUCTION

- State the research question you are trying to answer
- State why the question is important
- State the issues involved
- State why we should be concerned with resolving whatever issues are involved
- State how answering the question will help us
- State the implications and consequences of dealing with or resolving the issues involved

- Identify who has tried to answer the question before by doing the following:
- Summarize how each of the sources presents and deals with the subject
- Explain how each source presents and deals with its findings or results
- Explain the relevancy of each source to your research question
- State what you learned from each of your sources
- State in what way(s) each source contributes to answering your research question
- State your answer to your research question
- State how and elaborate on how, explain how, illustrate how each of the sources you previously reviewed help you answer your research question
- State what questions about your topic you still have that your sources may not have answered

- State the conclusions regarding your topic you have reached from having surveyed, interpreted, evaluated the literature
- Indicate how each of the sources have contributed to your conclusions (and clearly, accurately, correctly document those sources within your text)
- State the implications of your conclusions
- State what might be the possible consequences of your conclusions
- State the social significance these implications and consequences might have

- On a separate page, include a section labeled References which provides the full publication information for all the sources you used in your paper
- You should have a MINIMUM of three (3) sources for your paper
- Not meeting this minimum requirement of three (3) sources will lead to a lower evaluation of your paper for each missing source
- Use APA format for documenting your sources

*Not required for the mini-paper

• If you collected statistical data using a survey, include a copy of the survey.

## Sample Write-Up

Seating unfriendly customers, a combinatorics problem.

By Lisa Honeyman February 12, 2002

## The Problem

2. What if there are n seats at the counter?

3. What if we change the number of customers?

## Assumptions

## Body of the Report

With 5 seats there is only one configuration that works.

Possible seats 3 people could occupy if there are 6 seats

3 C 3 = 1 4 C 3 = 4 5 C 3 = 10 6 C 3 = 20

3 P 3 = 6 4 P 3 = 24 5 P 3 = 60 6 P 3 = 120

## Conjecture 1:

In order to prove Conjecture 1 convincingly, I need to show two things:

(1) Each n – 2 seat choice leads to a legal n seat configuration.

(2) Each n seat choice resulted from a unique n – 2 seat configuration.

To prove these two things I will show

And then conclude that these two procedures are both functions and therefore 1—1.

Claim (1): Each ( n – 2) -seat choice leads to a legal n seat configuration.

Therefore, positions s 1 ' s 2 ', and s 3 ' are all separated by at least one vacant seat.

Claim (2): Each 10-seat choice has a unique 8-seat configuration.

q 2 ' = q 2 – 1 which implies q 2 ' > q 1 = q 1 '

q 3 ' = q 3 – 2 which implies q 3 ' > q 2 – 1 = q 2 '

Because the sets are the same size, these functions are 1—1.

This same algebraic manipulation works if you have c people rather than 3, resulting in n - c +1 P c

- With 10 seats there are 8 P 3 = 336 ways to seat the 3 people.
- My formula for n seats and 3 customers is: n -2 P 3 .
- My general formula for n seats and c customers, is: n -( c -1) P c = n - c +1 P c

_________________________________________________________________ _

When n = 6 6-3 C 3 = 3 C 3 = 1

When n = 7 7-3 C 3 = 4 C 3 = 4

When n = 8 8-3 C 3 = 5 C 3 = 10

When n = 9 9-3 C 3 = 6 C 3 = 20

Using finite differences I was able to find a formula that generates the correct numbers:

The following diagram should help make this procedure clear.

Brown, Richard G. 1994. Advanced Mathematics . Evanston, Illinois. McDougal Littell Inc. pp. 578-591

## The Oral Presentation

## Planning for Your Oral Presentation

## Writing Your Introduction

Here are a few examples of different types of openers.

You can use a quote from a famous person that is engaging and relevant to your topic. For example:

Some people like to tell a short story that leads into their discussion.

A short joke related to your topic can be an engaging way to start your speech.

To find quotes to use in introductions and conclusions try: http://www.quotationspage.com/

## The Middle of Your Presentation

## Using Materials

• A proof you would like to share, but you don’t have time to present entirely.

• Copies of important overhead transparencies that you use in your talk.

## The Conclusion

## Getting Ready

After you have written your speech and prepared your visuals, there is still work to be done.

- Prepare your notes on cards rather than full-size sheets of paper. Note cards will be less likely to block your face when you read from them. (They don’t flop around either.) Use a large font that is easy for you to read. Write notes to yourself on your notes. Remind yourself to smile or to look up. Mark when to show a particular slide, etc.
- Practice! Be sure you know your speech well enough that you can look up from your notes and make eye contact with your audience. Practice for other people and listen to their feedback.
- Time your speech in advance so that you are sure it is the right length. If necessary, cut or add some material and time yourself again until your speech meets the time requirements. Do not go over time!
- Anticipate questions and be sure you are prepared to answer them.
- Make a list of all materials that you will need so that you are sure you won’t forget anything.
- If you are planning to provide a handout, make a few extras.
- If you are going to write on a whiteboard or a blackboard, do it before starting your talk.

## The Delivery

Here are a few tips about delivery that you might find helpful.

- Make direct eye contact with members of your audience. Pick a person and speak an entire phrase before shifting your gaze to another person. Don’t just “scan” the audience. Try not to look over their heads or at the floor. Be sure to look at all parts of the room at some point during the speech so everyone feels included.
- Speak loudly enough for people to hear and slowly enough for them to follow what you are saying.
- Do not read your speech directly from your note cards or your paper. Be sure you know your speech well enough to make eye contact with your audience. Similarly, don’t read your talk directly off of transparencies.
- Avoid using distracting or repetitive hand gestures. Be careful not to wave your manuscript around as you speak.
- Move around the front of the room if possible. On the other hand, don’t pace around so much that it becomes distracting. (If you are speaking at a podium, you may not be able to move.)
- Keep technical language to a minimum. Explain any new vocabulary carefully and provide a visual aide for people to use as a reference if necessary.
- Be careful to avoid repetitive space-fillers and slang such as “umm”, “er”, “you know”, etc. If you need to pause to collect your thoughts, it is okay just to be silent for a moment. (You should ask your practice audiences to monitor this habit and let you know how you did).
- Leave time at the end of your speech so that the audience can ask questions.

For more information about creating posters for science fair competitions, see

http://school.discovery.com/sciencefaircentral/scifairstudio/handbook/display.html ,

http://www.siemens-foundation.org/science/poster_guidelines.htm ,

## References Used

Gerver, Robert. 1997. Writing Math Research Papers . Berkeley, CA: Key Curriculum Press.

## How to Effectively Write a Mathematics Research Paper

## Structure and Style

## Conventions of Mathematics

Related: Do you have questions on language, grammar, or manuscript drafting? Get personalized answers on the FREE Q&A Forum!

## LaTeX and Wolfram

## Good Writing and Logical Constructions

- Concept of a math paper
- Title, acknowledgment, and list of authors
- Introduction
- Body of the work
- Conclusion, appendix, and references
- Publication of a math paper
- Preprint archive
- Choice of the journal, submission
- Publication

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As part of the mini-research paper in Mathematics of Grade 10 Demeter, they conducted a survey on the numbothe students of Grade 10-Hermes

As part of the mini-research paper in Mathematics of Grade 10-Demeter, they conducted a survey on the number of minutes the students of Grade 10-Hermes

Grade 10 Quarter 4 Week 7 - 8Simple Mini - Research for Grade 10 MathThis is a simple example of mini research for Grade 10 Math.

Please don't forget to subscribe, like and share, and click the notification bell to be updated on my next videos regarding lessons in

This essay will begin with general ideas about mathematical writing. The purpose is to help the student develop an outline for the paper. The next section will

A Mini Research for Math Grade 10(1) - Free download as Word Doc (.doc / .docx), PDF File (.pdf), Text File (.txt) or read online for free. Research.

On a separate page, include a section labeled References which provides the full publication information for all the sources you used in your paper

This guide will give you a brief overview of the parts of a mathematics research paper. Following the guide is a sample write up so you can

Mathematics research papers contain both formal (theorems, proofs, ... Each area incorporates detailed guidelines to assist the authors.

Self-Learning Module 13. Mathematics – Grade 10 Quarter 4 – Self-Learning Module 13 : Making Mini Research Title First Edition, 2020. Republic Act 8293, Section