Offered Summer 2012, this course provides an advanced perspective on the concepts in school algebra. For more information, please read the Course Syllabus.
Algebraic reasoning incorporating the use of technology. This course includes investigations of patterns, relations, functions, and analysis, with a focus on representations and the relationships among them.
Note: This course section is specially designed to leverage connections to high school mathematics.
Day by Day
»For the full details, check out the Math 5326 Course Calendar.
WEEK | DATE | TOPIC | CONTENT | HOMEWORK |
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| 1 | 6/11 | Introduction & Pre-Assessment | Syllabus, Pre-Assessment, Project Brainstorming |
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| 6/12 | Algebraic Reasoning | Hexarights, The Framer and His Apples, 3 Habits of Algebraic Reasoning, Problem Solving Strategies |
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| 6/13 | Linear & Quadratic Change | Postage Stamp Problem, Tiling Gardens, The Window Problem | ||
| 6/14 | Quadratics | A sequence of Stacked Cubes (Method of Finite Differences), Algebra Tiles |
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| 6/15 | Algebra in the Schools | ME by the SEa |
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| 2 | 6/18 | Non-linear Change | Requesting a Reward & Wild Scooter Race | |
| 6/19 | Algebraic Reasoning, Non-linear Change | Wild Scooter Race (continued), Arithmagraphs | ||
| 6/20 | Recursive Sequences & Patterns | Polygonal Numbers, Recursive Sequences, presentations (Manuel, Monica, Juan, Rynee) | ||
| 6/21 | Equality, Systems of Equations | Putting on the Pounds, presentations (Michelle, Priscilla, Missy, April, Jeri, Angela) | ||
| 6/22 | Algebraic Structures | Finite Fields (notes), DragonBox, presentations (Rae, Jennifer, Daralyn, Gene, Mehmet, Chelsie) | Study/Prepare for the Final Exam | |
| 3 | 6/25 | Final Exam | Download the Final Exam |
Recent Content
Exploring Quadratics with the TI-Nspire
by Angela Fries Jumping Jets is a project-based unit for students to design a water show in conjunction with a pond being designed for use with the science classes at Miller High School Metropolitan School of Design. Students are required to use parameters involved in the jets/pump set up and maximum height and length. Project-based…
Algebra Activities by Math Teachers
(Password Protected.) The following math activities were submitted as Part II of the course project for Math 5326 - Summer 2012. Please use and share responsibly.
Final Exam – Structure of Patterns & Algebra
Instructions This 2 ½ hour exam is completed in 3 parts. Part 1 must be completed individually with no resources except a calculator with factory-shipped content. Parts 2 & 3 may be completed with any resources, but you must submit your own original work. Part 1 (40 pts, 60 mins) is the Post-Test of Algebra…
Putting on the Pounds
Inspired by an activity from NCTM, the Putting on the Pounds activity helps introduce the meanings of the "equals sign" and "variable" in algebra while also providing a very accessible and concrete model for systems of linear equations. Handouts/Activities Block Pounds - Activity (NCTM) Putting on the Pounds - Handout Just Another Balancing Act - Worksheet…
Polygonal Numbers
Sometimes also called the Figurate Numbers, the Polygonal Numbers offer a great opportunity to delve into recursive and explicit patterns of sequences and to expand on the graph, table, and equation representations of quadratic growth. Handouts/Activities Polygonal Numbers - Activity Linear, Quadratic, & Exponential Functions - Worksheet