Middle School Math & Science - Spring 2014

Schedules
Algebra 1 Schedule (for students going on to Algebra next year in High School and students ready to master Algebra this year)

Learning Threads
Perimeter, Area, Surface Area, and Volume (Learning Thread focus for the week of March 17)
Perimeter and Area of Triangles, Perimeter and Area of Aquares and Rectangles, Circumference and Area of Circles, Perimeter and Area of Irregular Shapes, Volumes.
khanacademy conditioning exercises: Area of triangles, Radius diameter and circumference, Area of a circle, Area and circumference of circles, Volume word problems.
Spectrum 7: pages 135-148  (due Mar 21, end of day*)
Spectrum 8: pages 105-122 (due Mar 21, end of day*) 
* student to complete 7 or 8, not both      

Statistics and Probability (Mastered or Working to Master)
Bar Charts, Histograms, Pie Charts, Scatter Diagrams, Measures of Central Tendency (Mean, Median, Mode), Basic Probability, Independent/Dependent Events, Permutations 
khanacademy conditioning exercises: Reading Bar Charts 1, 2, Creating Bar Charts
Spectrum 7: pages 103-114  (due Mar 14, end of day*)
Spectrum 8: pages 65-78 (due Mar 14, end of day*) 
* student to complete 7 or 8, not both      

Geometry (Mastered or Working to Master)
Basic Definitions >> Angle Types >> Transversals >> Triangles >> Polygons >> Similarity & Congruence >> Cartesian Coordinates >> Transforms >> Squares & Roots >> Pythagorean Theorem (simple) 
khanacademy conditioning exercises: Points, Lines and Planes, Measuring Angles, Angle Types, Vertical Angles, Angles 1, Angles 2, Complementary and Supplementary Angles, Triangle Types, Similar Triangles 1, Graphing Points, Graphing Points and Naming Quadrants, Points on the Coordinate Plane, Axis of Symmetry, Translations of Polygons, Rotation of Polygons (mastery due by Feb 17) 
Spectrum 7: pages 119-130 (due Feb 13, end of day*)
Spectrum 8: pages 83-100 (due Feb 13, end of day*) 
* student to complete 7 or 8, not both      

Measurement (Mastered or Working to Master)
Metric (SI) Measurement >> Length >> Volume >> Mass (meter, Liter, gram)
khanacademy conditioning exercises*: Converting units, Measurement Units, Measurement word problems with metric units (mastery due by Feb 7)  * Students should work through "5 sets of 5" correct in a row for each (khan requires less than this)
Spectrum 7: pages 95-98 (due Feb 6, end of day*)
Spectrum 8: pages 53-56 (due Feb 6, end of day*) 
* student to turn in 7 or 8, not both      

"English Standard" Measurement >> Length >> Volume >> Mass (foot, cup, pound)
khanacademy conditioning exercises*: Converting units, Measurement word problems with customary US measurement (mastery due by Feb 7)
Spectrum 7: pages 85-90 (due Feb 6, end of day*)
Spectrum 8: pages 43-48 (due Feb 6, end of day*)
* student to turn in 7 or 8, not both

Patterns through Functions (Mastered or Working to Master)
Math Patterns >> Rates >> Equations without Variables >> Equations with Variables
khanacademy conditioning exercises*: Math Patterns, Visualizing and Interpreting Relationships Between Patterns, Rate Problems 0.5, 1, 2, Multistep Equations without Variables, One Step Equations, One Step Equations with Multiplication, Equations with Variables on Both Sides, Multistep Equations with Distribution

Previous Learning Thread (Mastered or Working to Master)
Prime Numbers >> Composite Numbers >> Prime Factorization >> Simplifying Radicals >> Radical Operations >>
Pythagorean Theorem >> Distance Between 2 Points >> Midpoint between 2 Points.
khanacademy conditioning skills*: Prime Numbers, Composite Numbers, Prime Factorization, Simplifying Radicals, Simplifying Radicals 2, Pythagorean Theorem, Distance Formula, Midpoint Formula. 

Readings and Videos (click on link)

Feb 4: Memorization Techniques: Memory Palaces and Wacky Stories (pp. 5-8 only: "Linking and Chaining", "Story System", "Method of Loci")


Feb 14 (at home): The Star of Bethlehem - Scientific Discovery enabled by Technology (see EverNote 331 below)

Mar 20: Using Mathematics to Understand Civilizations

HUGE Federal Data Repository Website (including useful APPS!)

(see project assignment below at end of "Projects" section, Apr 1-4)

(see project assignment below in "Projects" section, Apr 9-15)


(see project assignment below in "Projects" section, Apr 22-25)







Game Theory as a Branch of Mathematics:


Projects
Jan 30: Building Cubes (Evernote 227): Calculate the dimensions of a cube that contains 1L, and another 1ml.  Build models of each cube using materials of your choice.  Write a reflection paragraph: Were the sizes of the Liter and milliliter cubes what you expected?  What went well?  What could you do better/differently next time?  Project Due Feb 3.

Jan 30: Enrichment, Measuring Water (Evernote 226): Using the digital scale, measure the following quantities of water into a container: 1,000g, 1,000ml, 1kg, 1L.  Write a reflection paragraph: What do you notice? Is this pattern limited to water? (Optional Project)

Feb 4: Enrichment, Memorization Project: Measurement "Chain", "Story", "Palace" (Evernote 228): Using one of the processes described in today's reading, remember the key facts of measurement: meter, millimeter, centimeter, decimeter, kilometer; inch, foot, yard, mile...Liter, milliliter, kiloliter; cup, pint, quart, gallon...gram, milligram, kilogram, Metric Ton; ounce, pound, Ton, the "rules of thumb", etc.  Project due Feb 10.

Feb 4: Memorization Handwriting Exercise (Math Journal or separate sheets of paper): Handwrite the key measurement facts required to master Measurement as described in class.  Rewrite the key facts four more times.  Recreate the sheet from memory without assistance. Project due Feb 6.

Feb 8: Analyze Scientific Data related to Memory Techniques using Statistics (EverNote 229): As a class we studied four different memorization techniques (Chaining, Story, Loci/Memory Palaces, and write 5x).  Analyze the data of actual results of your class' results on quizzes to draw conclusions of the effectiveness of using  the various memorization techniques taught rather than not. (Due Dates: Exp 1 and 2 analysis done in class on Feb 8, Exp 3 data collected on Feb 8, reviewed in class Feb 10.)

Experiment 1: You were given a homework assignment to write out important measurement math facts (for example, 1000g = 1kg, etc.)  Some students chose to complete the assignment, others chose not to complete the assignment. 
Data:
7 students completed the assignment and earned the following scores on a related quiz (19 total points): 0, 9, 12, 14, 15, and 19. 
6 students chose not to complete the assignment and earned the following scores on the quiz: 0, 1, 3, 6, 15, 17.
Analyze: Calculate the Mean ("average") and Median for each group of students.  Compare your results and draw a conclusion: was completing the homework assignment helpful in earning a higher score?

Experiment 2: Students were given a list of 14 objects and 7 minutes to memorize the list.  Students chose to use a method of memorization studied (Chaining, Story, Loci/Memory Palace, Write 5x), a method of their own that they have used in the past, or no method.  A quiz was given later in the class to see how many of the 14 objects each student could remember.
Data:
6 students chose to use one of the methods studied (Story or Loci) and earned the following scores on a related quiz (14 total points): 11, 14, 14, 14, 14, 14. 
6 students chose not to use any of the methods studied, using either their own method or no method and earned the following scores on the quiz: 5, 6, 12, 12, 14, 14.
Analyze: Calculate the Mean ("average") and Median for each group of students.  Compare your results and draw a conclusion: was using one of the memorization methods helpful in recalling the 14 objects?

Experiment 3: Students were given a list of 19 objects and 6 minutes to memorize the list.  Students chose to use a method of memorization studied (Chaining, Story, Loci/Memory Palace, Write 5x), a method of their own that they have used in the past, or no method.  A quiz was given later in the class to see how many of the 19 objects each student could remember.
Data:
6 students chose to use one of the methods studied (Story or Loci) and earned the following scores on a related quiz (19 total points): 6, 19, 19, 19, 19, 19. 
4 students chose not to use any of the methods studied, using either their own method or no method and earned the following scores on the quiz: 3, 3, 6, 10, 12.
Analyze: Calculate the Mean ("average") and Median for each group of students.  Compare your results and draw a conclusion: was using one of the memorization methods helpful in recalling the 19 objects?

Feb 10-17: Geometry Project "City Design" (EverNote 230): Create a City of your imagination that includes all of the geometry facts covered in your Spectrum workbook in the Geometry chapter (If you are in Spectrum 8, also include all of the geometry facts in Spectrum 7).  Design may be on a large piece of paper or may be a 3-D model.  Project due Feb 21 (revised).  Take a picture or video of your project and include in EverNote with a reflection (What went well in developing your project?  What would you do differently next time?)

Feb 14-21: "Star of Bethlehem" video (EverNote 231): Watch the 1 hour video (see link above).  What technological developments were required in order for the discovery described in the video?  When were those discoveries made?  Was the process of discovery clean or messy?  Describe the discovery process.  Project due Feb 21 (revised)

Feb 20-27: Investment Analysis Project (EverNote 232): Compare $10,000 invested at:
a) Simple Interest for 1 year, 5 years, 10 years, and retirement (assume 40 years, interest rate of 5% per year). 
b) Calculate the same investment over the same period compounded annually, semi-annually, quarterly, and monthly. 
Use the spreadsheet capability of Google Docs to build a spreadsheet that describes each of the above
c) Use Google Finance to Invest $50,000 in a portfolio of 10 different $5,000 investments.  Track results over the course of the week and if interested through the course of the semester. 
Project due Feb 28.
Google Finance  (click on Portfolio, and build your portfolio as demonstrated in class, up to $50,000)
Other Finance Sites to Help You Find Investment Ideas:

Mar 10-13: National Ice Core Lab EdVenture (EverNote 233)
Prepare for the Ice Core Lab Visit:
On Tuesday, March 11, we will be visiting the National Ice Core Lab at the Denver Federal Center, the largest Federal (Civilian) installation West of the Mississippi River.  Develop a short list of questions for the visit based on your preparation for the visit.  Some useful sites include:

    USAP

Don't feel limited by the links, feel free to research beyond the links.  The important thing is that you begin preparing for the visit before Monday.  Send your list of questions (minimum of 3) to pmcgarrity@anastasisacademy.us by end of day Monday, March 10. 

Report what you Learned:
Imagine you are a reporter for your school newspaper.  Write an article for the paper based on your visit to the National Ice Core Lab.  Include photos, quotes, etc.  Length: 1-2 pages.  Send your completed summary to pmcgarrity@anastasisacademy.us by end of day Thursday, March 13.

Mar 17-20: Home Renovation Design and Estimation Project (EverNote 234)
Part 1: Fencing (Perimeter).  Estimate the cost of refencing the fence in your back yard.  Measure the perimeter, choose a panel design from www.homedepot.com or another site, calculate the number of panels needed to fence your back yard, and with the cost of each panel, the cost of purchasing enough panels to complete the project.  Include photos or a dimensional graphic of existing backyard and fencing, link to chosen fencing panel with cost of panel, and all calculations.

Part 2: Carpeting (Area).  Estimate the cost of recarpeting at least 3 rooms in your home.  Measure the dimensions and calculate the area to be carpeted for each room.  Choose a carpet style from www.homedepot.com or another site, calculate the number of square yards needed to recarpet the three rooms and the cost of the carpet.  You can choose one carpet style for all rooms or choose different styles for some or all of the rooms.  Include photos or a dimensional graphic of the existing rooms, links to chosen carpet, and all calculations.  Calculate the cost of purchasing the carpeting for the project.

Part 3: Painting Your Room (Surface Area).  Estimate the cost of repainting the room you sleep in.  Measure the dimensions of each wall and the ceiling (be sure to subtract out the surface area of major unpainted areas...doorways, windows, etc.), choose a paint color from www.homedepot.com or another site, calculate the total surface area of the ceiling and the walls of your room.  Calculate the amount of paint needed and the cost of paint for purchasing the paint for the project.

Part 4: Filling Your Room with Ice Cream (Volume).  Estimate the number of liters of ice cream that would be required to completely fill the volume of your room.  Choose a flavor of ice cream and assuming the cost of the ice cream is $2 per liter, estimate the cost of completely filling your room with your favorite ice cream. 

Be prepared to present your findings to your classmates in a 2 minute presentation on Friday, March 21.

Apr 1-4: Applying New Cognitive (thinking) Research Related to 21 Facial Expressions
Create a video or take pictures of you exhibiting all 21 facial expressions.  Label each expression ("Angry", "Surprised", etc.) so that the viewer understands the expression you are trying to exhibit.  Assignment is due Friday, April 4.  Be ready to show your pictures and/or video on the projector to the class (if you have issues with your iPad projecting to the class, be sure to resolve the issues before Friday so that the class can see your project).  Students will vote on the projects to identify the best content, best format, and best overall project (each student will have one vote for each category, similar to the voting for the Ice Core Lab articles).

Apr 9-15: Create an electrical circuit powered by produce! (see pictures above from Wired magazine)  Try out different fruits and vegetables to identify the electrical power produced individually or when combined in a circuit.  Demonstrate your creation to the class live or using video.  Make use of the materials in the classroom (Multimeter, galvanized nails, copper wire), borrowed from classmates, or found at home.

Apr 22-28: X Prize Board of Trustees Introduction
Using the link above, choose one member of the X Prize Board of Trustees that interests or inspires you (each student's choice must be unique).  You will also be assigned a second Board member so that we can all learn about the entire Board.  Prepare a SHORT presentation for your 2 Board members (no more than 2 minutes).  In your presentation:
a) Introduce the Board member
b) Describe their key accomplishments that landed them on the Board
c) Describe what about the person you find interesting, inspiring, and/or remarkable
d) If relevant, identify anything about the person that you would want to emulate


Quizzes, Certification and Awards
Pop Quiz Thread 1  Rework any incorrect responses, turn in and retake this quiz.
Feb 3: McDougal Littell (ML) Algebra 1, Chapter 1 Test, Version A.
Feb 5-6: ML Algebra 1, Chapter 2 Test, Version A (and Chapter 1 Retest, Version B as needed)
Feb 5: Memorize 14 objects in 7 minutes quiz.
Feb 5-7: Spectrum Measurement Posttests.
Feb 8: Memorize 19 objects in 6 minutes quiz.
Feb 8: Measurement Key Math Facts quiz.
Feb 10: Memorize 30 objects in 7 minutes quiz.
Feb 19-21: Sprectrum Geometry Posttests.
Mar 13-14: Spectrum Statistics and Probability Posttests.
Mar 20-21: Spectrum Perimeter, Area and Volume Posttests.
Mar 21: Ice Core Lab article winner: Alexis!  Great work, enjoy the Spumoni!
Apr 4: 21 Facial Expressions Cognitive Video/Photos winner: TBD

Algebra Tests: as each student is ready, tests for Chapters 1-11 for Algebra are taken.  Students who score 80% or higher are finished with that Chapter, students who do not score at least 80% must study their incorrect responses and then retake another version of that Chapter test.

National Ice Core Laboratory Article Writing Contest Winners will receive 1 gallon of the Ice Cream of their choice.  All article submitters will receive an ice cream treat.


After-school Sign-up
     March

Subpages (1): Algebra
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