ALGEBRA 1 – 2013/2014 The Algebra Standard emphasizes relationships among quantities and the ways in which quantities change relative to one another. To think algebraically, one must be able to understand patterns, relations, and functions; represent and analyze mathematical situations and structures using algebraic symbols; use mathematical models to represent and understand quantitative relationships; and analyze change in various contexts. Each of these basic components evolves as students grow and mature. Concept Expectations Represent, analyze, and generalize a variety of patterns with tables, graphs, words, and when possible, symbolic rules Understand patterns, relations, and functions Relate and compare different forms of representation for a relationship Identify functions as linear or nonlinear and contrast their properties from tables, graphs, or equations Represent and analyze mathematical situations and structures using algebraic symbols Use mathematical models to represent and understand quantitative relationships Analyze change in various contexts Develop an initial conceptual understanding of different uses of variables Explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations Model and solve contextualized problems using various representations, such as graphs, tables, and equations Use graphs to analyze the nature of changes in quantities in linear relationships As one of my students, you will be encouraged to explore, reason, analyze, develop conjectures, test theories and, above all, persevere! While following steps and procedures is part of solving a problem, I will emphasize understanding the underlying concepts. In other words, you will be “pushed” to understand more than the HOW – you will strive to understand the WHY. What supplies are needed? My students are expected to come to class with their math spiral, math binder, workbook, pencils, and a calculator. This year 8th graders will continue to use their TI-84 Plus. A positive attitude and willingness to be challenged is always welcome! How are the grades calculated? Grades are based primarily (75%) on “tasks”, quizzes, and tests. The remaining 25% is made up of daily homework, warm-ups, pledge sets, and class participation. Quizzes and tests are scored on a system of total points while tasks and homework are scored based on a 10-point rubric. Appropriate mathematical reasoning is an important factor and plays a major role in both grading systems. My students are expected to justify their answers on all assignments. When can you find me to ask questions and/or receive individual/extra help? I have a number of periods available to work one-on-one or in small groups. It is helpful to schedule with me ahead of time so that we can agree on a meeting place. Monday – 4th period 10:50-11:30, 6th period 1:10-1:50, 7th period 1:55-2:35 Tuesday – 4th period 10:50-11:30, 6th period 1:10-1:50 Wednesday – 2nd period 8:45-9:25, help time 10:15-10:45 Thursday – 4th period 10:50-11:30, 6th period 1:05-1:50 Friday – 4th period 10:50-11:30, 6th period 1:05-1:50 I’m at home and need help! What should I do? ALL students can/will benefit from checking my website for “news flashes” and copies of the class notes. My site address is: https://cougar.collegiate-va.org/cfoster and is easily accessed through the Paw Page. OR you can scan here Also, don’t forget about your textbook! It is a great resource with additional notes and examples that can be really helpful. When all else fails, make a note about where and why you are stuck and then plan to see me in the morning. I LOVE teaching math, particularly algebra. While I will do all I can to help make this a successful year for you, I will need you to be willing to work with me. There may be times when you will be frustrated and overwhelmed. Please talk to me and I will help you get past those hard spots. It is my expectation that if you are having difficulty with the material, you will see me for additional help during help time and study halls.