Name: __________________________Period: _______Due Date: _______________ 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 reallife word problem application that contains both topics, and a reallife 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. Formal definition and explanation of the first topic in your own words Create an original problem and solve it using the 1st concept Formal definition and explanation of the second topic in your words Create an original problem and solve the problem using the 2nd concept Show/find world problem that uses both concepts together. how the topic is used in realworld situation Example: picture, article 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 Page 1 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 Explain the similarities on how the two topics are connected and their differences to show their uniqueness. Create a real Topic-Pairs 17. Independent-dependent/functions 18. Factoring/Dimensions of a rectangle Page 2 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) C. Barron Algebra 1 Graduation Project May 2015 Scoring Rubric Final submission Not Yet Acceptable Need to add a cover, page numbers, a title, and/or class period Name, class period and project title are present 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 and/or an explanation of the topic Formal definition is present AND student has explained the definition in his own word Definition of topic 2 Need to add a formal definition of the topic and/or an explanation of the topic Formal definition is present AND student has explained the definition in his own word Not Yet Acceptable Problem created- first topic Need to create an original problem and/or solve correctly using logical, sequential processes Solved problem with no mistakes using logical, sequential processes to arrive at the correct answer Problem created- second topic Need to create an original problem and/or solve correctly using logical, sequential processes Solved problem with no mistakes using logical, sequential processes to arrive at the correct answer Not Yet Acceptable Explain how 2 topics are related Need to correctly explain the similarity and differences between both topics Explained the similarities and differences between both topics using complete sentences Problem created- both topics Need to create an original problem and/or solve correctly using logical, sequential processes Solved problem with no mistakes using logical, sequential processes to arrive at the correct answer Representation of problem created Need to add a picture or graph related to the previously created problem Pictures or graphs relate to the problem created; graph is correctly labeled to support the relation/difference between both topics (if applicable) Page 2 C. Barron Algebra 1 Graduation Project May 2015 Page 3 Not Yet Acceptable Definition of topic 1 Need to add a formal definition of the topic and/or an explanation of the topic Formal definition is present AND student has explained the definition in his own word Definition of topic 2 Need to add a formal definition of the topic and/or an explanation of the topic Formal definition is present AND student has explained the definition in his own word Not Yet Acceptable Problem created- first topic Need to create an original problem and/or solve correctly using logical, sequential processes Solved problem with no mistakes using logical, sequential processes to arrive at the correct answer Problem created- second topic Need to create an original problem and/or solve correctly using logical, sequential processes Solved problem with no mistakes using logical, sequential processes to arrive at the correct answer Not Yet Acceptable Explain how 2 topics are related Need to correctly explain the similarity and differences between both topics Explained the similarities and differences between both topics using complete sentences Problem created- both topics Need to create an original problem and/or solve correctly using logical, sequential processes Solved problem with no mistakes using logical, sequential processes to arrive at the correct answer Representation of problem created Need to add a picture or graph related to the previously created problem Pictures or graphs relate to the problem created; graph is correctly labeled to support the relation/difference between both topics (if applicable) Page 4 C. Barron Algebra 1 Graduation Project May 2015 Page 5 Not Yet Acceptable Definition of topic 1 Need to add a formal definition of the topic and/or an explanation of the topic Formal definition is present AND student has explained the definition in his own word Definition of topic 2 Need to add a formal definition of the topic and/or an explanation of the topic Formal definition is present AND student has explained the definition in his own word Not Yet Acceptable Problem created- first topic Need to create an original problem and/or solve correctly using logical, sequential processes Solved problem with no mistakes using logical, sequential processes to arrive at the correct answer Problem created- second topic Need to create an original problem and/or solve correctly using logical, sequential processes Solved problem with no mistakes using logical, sequential processes to arrive at the correct answer Not Yet Acceptable Explain how 2 topics are related Need to correctly explain the similarity and differences between both topics Explained the similarities and differences between both topics using complete sentences Problem created- both topics Need to create an original problem and/or solve correctly using logical, sequential processes Solved problem with no mistakes using logical, sequential processes to arrive at the correct answer Representation of problem created Need to add a picture or graph related to the previously created problem Pictures or graphs relate to the problem created; graph is correctly labeled to support the relation/difference between both topics (if applicable) Page 6 C. Barron Algebra 1 Graduation Project May 2015