Deductive Reasoning Project



Quarter 3 Project:

The first project is due by

Wednesday, March 4th!

Late projects will be penalized 10% each day.

Use technology whenever possible. 

A Reflection Paragraph & Honor Code

must be submitted with each project.

All projects become the property of Ms. Calkins.

Format Choices for Projects:

Option 1 - Poster:

With this option, put your project title on the front, put your name on the back, and submit a separate sheet of paper for your reflection.

Option 2 - Portfolio:

Create an 8½ by 11-inch letter size portfolio. With this option, use a cover page for your title and name. The last page of your portfolio should be your reflection page.

Option 3 - Electronic:

Create an electronic presentation with any appropriate computer program. With this option, include a title page. 

Also, include a final page for your reflection. Print out your Honor Code statement, sign it and turn it in.

Reflection Paragraph & Honor Code:

The Reflection Paragraph must address 3 topics:

1) What geometry skills are used for the project?

2) Who would use these skills outside of class? Explain how.

3) How does this project demonstrate your knowledge of geometry as well as a paper-pencil test.

Copy and sign this statement:

"On my honor, I have neither given nor received unauthorized assistance on this assignment. I understand that any violation of the honor code will result in academic and disciplinary action."

Choose 1 project from the following:

Geometric Art Project

Geometry Standards addressed by this project: 

1) Explore attributes of geometric figures using a straight

edge and compass.

2) Explore the significance of geometry.

3) Recognize that the study of geometry was developed

for a variety of purposes.

 

Assignment: 

You are an artist. You must create a portfolio of 5 designs using

a compass and a straight edge. Create 5 different types of designs. You can choose from a line design, a daisy design or mandala design, an optical art design, a perspective drawing (tiled floor, street corner, room interior, building exterior), a ying-yang design, a knot design, or a drawing of the impossible. 

Requirements:

1) Designs must be drawn on unlined paper.

2) Each design must be labeled correctly. 

3) Add color to your designs with markers, colored pencils, crayons, or a combination.

4) Extra effort in design, creativity, and neatness will be rewarded. 

 

Logic Puzzle Project  

Geometry Standards addressed by this project: 

1) Use conditional statements.

2) Use deductive reasoning to provide an informal proof for a statement.

3) Explore the significance of geometry.

4) Recognize that the study of geometry was developed for a variety of purposes.

                                

Assignment: 

You work for a company that publishes logic puzzle booklets. Your task is to create an original logic puzzle that requires the

use of deductive reasoning to determine the solution.

Requirements:

1) Use at least 6 people/objects for your puzzle.

2) Type a list of statements (clues). Clues should not make the puzzle too easy but should be understandable. If information

is needed to understand your clues, you must provide it.

3) Create a table to go along with your puzzle. This table and your clues should be on the same sheet of paper.

4) Test your puzzle on at least 2 people. Ask the test people to put their names on their sheet. Check their solutions. If their results do not match your intended solution, you might have to modify your statements (clues). Also, ask your test people about the difficulty and understandability of your clues. If you modify your original list of clues, you do not have to retest your puzzle but you should discuss what changes you made and why you made them in your reflection paragraph.

5) Submit one puzzle sheet labeled as a solution key. Submit one blank puzzle sheet. Submit all copies of tested & graded puzzle sheets. 

6) Extra effort, creativity, and neatness will be rewarded. 

Geometry in Advertising Project

Geometry Standards addressed by this project: 

1) Identify and use deductive reasoning.

2) Explore the significance of geometry.

3) Recognize that the study of geometry was developed

for a variety of purposes.

                                

Assignment: 

You work for an advertising agency. Your boss has asked you to investigate the competition. Find advertisements illustrating how other advertisers convince consumers to

buy their product or services.

 

Requirements:

1) Define deductive reasoning.

2) Find 5 advertisements that illustrate deductive reasoning.

All of your ads should relate to a central theme based on

the products sold by your company.

3) For each advertisement, write the conditional if-then statement that the advertiser wants consumers to believe.

4) For each advertisement, write about whether or not you believe the conditional statement. As a consumer, how do you feel about the conditional if-then statement that the advertiser wants consumers to believe?

5) Extra effort in design, creativity, and neatness will be rewarded. 

 

Geometry in Our World Project 

Geometry Standards addressed by this project: 

1) Define basic geometric terms.

2) Explore the significance of geometry.

3) Recognize that the study of geometry was developed

for a variety of purposes.

                             

Assignment: 

You work for a publishing company that has been hired to create a picture “book” that will help young geometry students learn important vocabulary.

 

Requirements:

1) Use magazines, photographs, or clipart to identify at least 10 pictures or objects illustrating 10 different geometric vocabulary words. You should begin with vocabulary from chapter 3. If necessary, you may use vocabulary from chapters 1 and 2 also.

2) All of your pictures should relate to a central theme specified in the title of your “book.”

3) All pictures must be correctly labeled with the vocabulary word being illustrated along with its definition. If several objects appear in a picture, be sure to indicate which object you are using  for your project by tracing that object or drawing arrows.

4) Extra effort in design, creativity, and neatness will be rewarded. 

 

Designing Quilt Block Patterns

Geometry Standards addressed by this project: 

1) Identify, describe, and define congruence between shapes.

2) Justify and apply triangle congruence relationships.

3) Recognize that the study of geometry was developed for a variety of purposes.

Assignment:  

You work for a quilt making company and must design 3

different quilt block designs for the upcoming season.

Design Rules for Creating a Quilt Block Pattern

1) Use unlined paper to create 3 different quilt block designs

that include congruent figures and symmetry. 

2) Use a different full-sized (8½ by 11 in) sheet of paper for each quilt block. Each quilt block should be at least a

6-inch square. 

3) Your quilt block might have some type of symmetry

(horizontal, vertical, or diagonal). Identify all lines of symmetry illustrated in each of your designs.

4) Identify all congruent figures illustrated in each of your designs.

You can do this by numbering each region and listing congruent figures.

For example, Δ1 ( Δ2 or figure 1 ( figure 2 .

5) Color your quilt blocks.

6) Extra effort in design, creativity, and neatness will be rewarded.

 

Transformations Project

Geometry Standards addressed by this project: 

1) Use transformations and their compositions to make connections between geometry and applications.

2) Explore basic transformations: translation, rotation, reflection.

3) Explore the significance of geometry.

4) Recognize that the study of geometry was developed for a variety of purposes.

                                

Assignment: 

You work for a flag making company. You have been asked to find 5 different flags that illustrate transformations and symmetry. You can find examples of flags at  or at

geography/flags/. Then, using your knowledge of transformations, design a unique flag for your company.

Requirements:

1) Find a flag that illustrates a reflection. Explain.

2) Find a flag that illustrates a rotation. Explain.

3) Find a flag that illustrates a translation. Explain.

4) Find a flag that illustrates rotational symmetry. Explain.

5) Find a flag that has a line of symmetry

(vertical, horizontal, or diagonal). Explain.

6) For each flag, include 3-5 interesting facts about the flag

or the country, state, or organization it represents.

7) Design your own flag that illustrates a minimum of 3 transformations. Identify which transformations are included in your design.

8) Extra effort in design, creativity, and neatness will be

rewarded. 

 

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download