2nd Semester ALGEBRA PROJECT:



Algebra 1 PROJECT

This project will require you to recall knowledge learned throughout the course of Algebra 1. Each pair of topics is listed in the box to the right and you will pick 3 topic-pairs to use. Each pair will be put on two separate pieces of paper. The first page will be broken into 4 parts: A formal definition and then an explanation using your own words of the first and second topics, respectively. Make sure to use correct mathematical vocabulary. Next, you will create an original problem for each corresponding topic-pairs and provide the correct answer with all work shown (short answer format). The next page will be split into 3 parts: Explanation on how the two topics are related and different, the creation of a real-life word problem application that contains both topics, and a real-life application of the topic in a magazine, community, school, etc. When you have completed all requirements for each topic-pair, you will compile them together into a book, an electronic presentation or poster/tri-fold board. You must be creative in putting your presentation together, and each page must be in the format shown below. Finally, you must list the references, i.e., where you copied the formal definitions from.

Scoring Rubric

| |Not Yet |Acceptable |

|Final submission |Need to add a cover, page numbers, a title, and/or class |Name, class period and project title are present |

| |period | |

| |Need to correct project for neatness and correct information |Project complete, all pages labeled, and neat |

| | | | | | |

|Page 1 |Not Yet |Acceptable |

|Definition of topic 1 |Need to add a formal definition of the topic|Formal definition is present AND student has explained |

| |and/or an explanation of the topic |the definition in his own word |

|Definition of topic 2 |Need to add a formal definition of the topic|Formal definition is present AND student has explained |

| |and/or an explanation of the topic |the definition in his own word |

| |Not Yet |Acceptable |

| | | |

|Problem created- first topic |Need to create an original problem and/or |Solved problem with no mistakes using logical, |

| |solve correctly using logical, sequential |sequential processes to arrive at the correct answer |

| |processes | |

| | | |

|Problem created- second topic |Need to create an original problem and/or |Solved problem with no mistakes using logical, |

| |solve correctly using logical, sequential |sequential processes to arrive at the correct answer |

| |processes | |

| | | |

| | | |

|Explain how 2 topics are related |Need to correctly explain the similarity and|Explained the similarities and differences between both|

| |differences between both topics |topics using complete sentences |

| |Need to create an original problem and/or | |

|Problem created- both topics |solve correctly using logical, sequential |Solved problem with no mistakes using logical, |

| |processes |sequential processes to arrive at the correct answer |

| | | |

|Representation of problem created |Need to add a picture or graph related to |Pictures or graphs relate to the problem created; |

| |the previously created problem |graph is correctly labeled to support the |

| | |relation/difference between both topics (if applicable)|

|Page 3 |Not Yet |Acceptable |

|Definition of topic 1 |Need to add a formal definition of the topic|Formal definition is present AND student has explained |

| |and/or an explanation of the topic |the definition in his own word |

|Definition of topic 2 |Need to add a formal definition of the topic|Formal definition is present AND student has explained |

| |and/or an explanation of the topic |the definition in his own word |

| |Not Yet |Acceptable |

| | | |

|Problem created- first topic |Need to create an original problem and/or |Solved problem with no mistakes using logical, |

| |solve correctly using logical, sequential |sequential processes to arrive at the correct answer |

| |processes | |

| | | |

|Problem created- second topic |Need to create an original problem and/or |Solved problem with no mistakes using logical, |

| |solve correctly using logical, sequential |sequential processes to arrive at the correct answer |

| |processes | |

| | | |

| | | |

|Explain how 2 topics are related |Need to correctly explain the similarity and|Explained the similarities and differences between both|

| |differences between both topics |topics using complete sentences |

| |Need to create an original problem and/or | |

|Problem created- both topics |solve correctly using logical, sequential |Solved problem with no mistakes using logical, |

| |processes |sequential processes to arrive at the correct answer |

| | | |

|Representation of problem created |Need to add a picture or graph related to |Pictures or graphs relate to the problem created; |

| |the previously created problem |graph is correctly labeled to support the |

| | |relation/difference between both topics (if applicable)|

|Page 5 |Not Yet |Acceptable |

|Definition of topic 1 |Need to add a formal definition of the topic|Formal definition is present AND student has explained |

| |and/or an explanation of the topic |the definition in his own word |

|Definition of topic 2 |Need to add a formal definition of the topic|Formal definition is present AND student has explained |

| |and/or an explanation of the topic |the definition in his own word |

| |Not Yet |Acceptable |

| | | |

|Problem created- first topic |Need to create an original problem and/or |Solved problem with no mistakes using logical, |

| |solve correctly using logical, sequential |sequential processes to arrive at the correct answer |

| |processes | |

| | | |

|Problem created- second topic |Need to create an original problem and/or |Solved problem with no mistakes using logical, |

| |solve correctly using logical, sequential |sequential processes to arrive at the correct answer |

| |processes | |

| | | |

| | | |

|Explain how 2 topics are related |Need to correctly explain the similarity and|Explained the similarities and differences between both|

| |differences between both topics |topics using complete sentences |

| |Need to create an original problem and/or | |

|Problem created- both topics |solve correctly using logical, sequential |Solved problem with no mistakes using logical, |

| |processes |sequential processes to arrive at the correct answer |

| | | |

|Representation of problem created |Need to add a picture or graph related to |Pictures or graphs relate to the problem created; |

| |the previously created problem |graph is correctly labeled to support the |

| | |relation/difference between both topics (if applicable)|

-----------------------

Topic-Pairs

1. Add and Subtract Polynomials/Perimeter

2. Changes to a on parabolas/Changes to m on lines

3. Vertical shifts of parabolas/Vertical shifts of lines

4. Product Rule/Power to a Power Rule

5. Linear functions/cost function

6. Negative Exponents/Quotient Rule

7. Product Rule/Area

8. Multiply and Divide Polynomials/Area

9. Exponential growth/Exponential decay

10. Solve quadratics using square root property/Solve quadratics using factoring

11. Solve quadratics using square root property/Solve quadratics using quadratic formula

12. Solve quadratics using factoring/Solve quadratics using quadratic formula

13. Solving systems using substitution/Solving systems using elimination

14. Solving systems by graphing/Solving systems using elimination

15. Solving systems using substitution/Solving systems by graphing

16. Writing equations of Parallel lines/ Writing equations of Perpendicular lines

17. Independent-dependent/functions

18. Factoring/Dimensions of a rectangle

19. Scientific notation/Negative Exponents

20. Writing an equation given a point and slope/Writing an equation given two points

21. Direct variation/salary (income)

Formal definition and explanation of the first topic in your own words

Formal definition and explanation of the second topic in your words

Page 1

Create an original problem and solve the problem using the 2nd concept

Create an original problem and solve it using the 1st concept

Explain the similarities on how the two topics are connected and their differences to show their uniqueness.

Page 2

Show/find how the topic is used in real-world situation

Example: picture, article

Create a real world problem that uses both concepts together.

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