Integrated Math Curriculum Map CCSS - Saugus Public Schools

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Connecting the Standards for Mathematical Practice to the Standards for Mathematical Content The Standards for Mathematical Practice describe ways in which developing student practitioners of the discipline of mathematics increasingly ought to engage with the subject matter as they grow in mathematical maturity and expertise throughout the elementary, middle, and high school years. Designers of curricula, assessments, and professional development should all attend to the need to connect the mathematical practices to mathematical content in mathematics instruction. The Standards for Mathematical Content are a balanced combination of procedure and understanding. Expectations that begin with the word “understand” are often especially good opportunities to connect the practices to the content. Students who lack understanding of a topic may rely on procedures too heavily. Without a flexible base from which to work, they may be less likely to consider analogous problems, represent problems coherently, justify conclusions, apply the mathematics to practical situations, use technology mindfully to work with the mathematics, explain the mathematics accurately to other students, step back for an overview, or deviate from a known procedure to find a shortcut. In short, a lack of understanding effectively prevents a student from engaging in the mathematical practices. In this respect, those content standards which set an expectation of understanding are potential “points of intersection” between the Standards for Mathematical Content and the Standards for Mathematical Practice. These points of intersection are intended to be weighted toward central and generative concepts in the school mathematics curriculum that most merit the time, resources, innovative energies, and focus necessary to qualitatively improve the curriculum, instruction, assessment, professional development, and student achievement in mathematics.
Integrated Math ( 341) Term One Week 1 Common Core State Standards The students will: F.IF.1 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x). F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Unit One Models of Variation and Growth • Functions and Graphs (F.IF.1) • Linear Models and Direct Variation (F.IF.4) Objectives The students will be able to… • describe the graphs of functions. Essential Question What is direct and inverse variation? • write equations of lines in slope intercept form. • find the slope of a line. Teacher Resources McDougal Littell © 2002 Integrated Math 2 • Chapter Two lessons • Chapter Two Practice Worksheets • Chapter Two Pre-Made Assessments • Chapter Two Enrichment Activities • Chapter Two Study Guide Assessments Homework: To be given daily on each introduced topic. Class Discussion: Students will be expected to be prepared for class, participate in class activities and actively engage in class discussion. Quiz: On concepts involving Functions and Graphs Baseline Assessment: The Baseline Assessment focused on Intermediate Algebraic and Geometric Concepts will be given the 1 st week of classes. Media and Technology Resources McDougal Littell © 2002 Integrated Math 2 • Test ExamPro Generator • Kuta software • Smart exchange lessons Suggested Instructional Practices • LTF Activity – A Transformation Story (see mathematical resources) • Stories through Graphs
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Integrated Math Curriculum Map CCSS - Saugus Public Schools

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