# Summer 2014

(First Summer Short Session -- June 5 - July 1)
(8:00 - 10:30 Daily)

Informal description:

The course is built around two sources of materials:

The Common Core State Standards for Mathematics (CCSSM)
Standards of Practice

Mathematics Understanding for Secondary Teaching (MUST)

This is a project supported by NSF, called the Situations Project, in which actual observations of classroom episodes are used as prompts to engage in detailed exploration of the Mathematical  idea that may be relevant to the prompt.    We will be examining these prepared MUST Situations, studying the MUST Framework that has been synthesized from considering a large number of Situations documents (Prompt plus mathematical analysis),  and engage in CREATING our own Situations documents from one of our own classroom episodes.

The CCSSM will be coordinated with our explorations of the Situations.

## Class Members Summer 2013

```Ferra, Michael              Mikef425@uga.edu
Foy, Colleen                cffoy@uga.eduGraves, Mary Ellen          meg702@uga.edu
Hornbeck, David             hornbeck@uga.edu
Major, Sarah                sdmajor@uga.edu
Plummer, William            wapj@uga.edu
Roberts, Sydney             sydrob@uga.edu
Scarpelli, Nicolina         nscarpel@uga.edu
```

SYLLABUS                          COURSE EVALUATION (to be active at the end of the course)

Common Core State Standards for Mathematics  (PDF

MUST Project Documents.

Situation 09: Perfect Square Trinomials

Situation 10: Simultaneous Equations

Situation 20: Area of Plane Figures

Situation 27:  Product of Two Negative Numbers

Create a Situation document from this Prompt:

Drafts of the Quotient of  Two Binomials Situation

Team 1:

Team 2:

## Drafts of Individual Situation Projects 2013

Ferra

2. Pythagorean Theorem (Final 7/31/13)
3. What is π? (Final 7/31/13)

Foy

1. Limit and Sum of a Series  (Final 7/8/13)
2. Solving Logarithmic Equations (7/17/13 Final)
3. Parentheses and Brackets  (7/29/13 Final)

Graves

1. 180 Degrees in an Euclidean Triangle ("final" 7/12/13)
3. Increasing or Decreasing (7/31/13 Final)

Hornbeck

1. Infinity + Infinity (7/1/13)  "Final draft"
2. Zero vs. Nothing  (7/9/13) Final
3. Slopes of Perpendicular Lines (7/18/13) Final

Major

1. Complex Roots (Final 6/30/13)
2. Line of Best Fit  (Final 7/25/13)
3. Exponential Bases (Final 7/25/13)

Plummer

1. Translating Functions (Final 7/29/13)
2. False Identity (Final 7/29/13)                Trig Functions GSP file
3. Multiplying Binomials (7/30/13)

Roberts

1.  Exponential Rules -- (Final 8/1/13)
2.  Irrational Lengths  -- (Final 8/1/13)
3.  Numbers Raised to the Zero Power -- (Final 8/1/13)

Scarpelli

1. Congruent Triangles vs Similar Triangles (Final 7/25/13)
2.  Zero slope; undefined slope (Final 7/25/13)
3. Simultaneous Equations (Final 7/25/13)

## Resources

Situations Project  (requires ID and Password)

Let Us Teach Guessing  -- A demonstation by George Polya with a high school class in 1965.  The demonstration is about an investigation of the maximum number of parts into which space can be divided by 5 planes.  (Warning:   The video is 60 minutes long.)

Logarithms as Area under a curve  --- Essay by former student, Signe Kastberg.   This may be a draft.

Lessons materials for exploring Logarithms.    Lesson materials begun by Signe Kastberg but not completely finished.

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