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Friday November 21, 2008
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Unit 3.2 Introduct...
Math Content StrandPD-ROM 3.2 - Intercepts of Lines (Grade 5 - Algebra)
Overview
Welcome to Unit 3.2 Intercepts of Lines!
The motivating CAHSEE question for this unit is the following:
What is the y-intercept of the line 2x – 3y = 12?
A. (0, –4)
B. (0, –3)
C. (2, 0)
D. (6, 0)
As you progress through this unit, you will deepen your content knowledge on intercepts of lines and develop instructional strategies that assist students in mastering these kinds of problems.
California Mathematics Content standards addressed in this question include:
Algebra (8th)
6.0. Students graph a linear equation and compute the x- and y- intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y < 4).
Prerequisites
Successful completion of Unit 3.1 My Car Broke Down is a prerequisite to this unit..
Objectives
In Unit 3.2 Intercepts of Lines, you will
- deepen your understanding of mathematical concepts in Algebra, including
- Find x- and y-intercepts given a linear equation in the form Ax + By = C; and
- Use the x- and y-intercepts to graph a line
- focus on several instructional strategies including
- use of Cornell notes;
- analyzing student data to determine lesson quality; and
- solving the problem to the point of answering the question posed
- finalize your lesson plan project
- add student work samples and your analysis of student work to your lesson plan; and
- reflect on what you have learned about incorporating time for students to talk and write mathematics in your daily lessons
How to Take this Unit
- Each unit is organized around a highly-missed question from the CA High School Exit Examination
- This unit presents lessons taught by two middle school math teachers.
- These teachers designed the lessons with input from our math experts (Dr. Marty Bonsangue and Dr. Harris Shultz)
- Each unit in Module 3 has two strands--one on math content and one on instructional strategies.
- As you move through the unit, you will read text, view videoclips of classroom teaching, and respond to assessment questions.
- You will submit your responses to the assessment questions as you move through the unit.
- Once you submit a response, feedback from Drs. Bonsangue, Shultz, Ellis, and Costa will "pop-up" for your viewing.
- In addition, your Online Facilitator will be checking your responses for accuracy and completion.
- At the end of each strand, you will be asked to post your reflection on the Discussion Board. You will also respond to a colleague's posting.
- At the end of the unit, you will also be asked to reflect on the entire learning experience
- At the end of each unit, you also complete part of an on-going lesson plan project. Our goal is to develop your ability to design, implement, and share effective lessons.
Unit Duration
Unit 3.2 Intercepts of Lines should take approximately 10-15 hours, depending on your technology skills and knowledge of instructional strategies. You may complete this unit on your own time, but each strand is expected to be completed by a specific deadline. This will allow your Online Facilitator to provide collective support and will facilitate your collaboration with your colleagues. It will also insure that you complete the unit by the course endpoint.