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Algebra II Objectives
ALGEBRA II Algebra II builds on earlier experiences with linear equations and functions. The genre of functions expands to include polynomial, exponential, rational, and radical examples. Attention is given to inverses, composition of functions, and families of graphs. Computations with matrices, logarithms, and complex numbers are introduced. Conic sections increase the sophistication level of graphing and the geometric aspects. The instructional approach should provide opportunities for students to work together collaboratively and cooperatively as they solve routine and non-routine problems. Communication strategies should include reading, writing, speaking, and critical listening as students present and evaluate mathematical arguments, proofs, and explanations about their reasoning. Justifications, written and oral, should continue to be part of regular instruction. Physical materials should continue to be part of the development of mathematical understanding. The framework is comprised of five content strands: number and operations, algebra, geometry, measurement, and data analysis & probability. The five process strands are problem solving, reasoning & proof, communication, connections, and representation. The five interrelated content strands along with the five process strands combine to provide continuity to the teaching of K – 12 Mathematics. Even though the process strands are not listed throughout the framework, these strands should be incorporated when presenting the content of the curriculum. The competencies, printed in bold face type, are the required learning standards for all students. Competencies do not have to be taught in the order presented in the framework. The competencies are presented in outline form for consistency and for easy reference throughout the framework. Competencies are intentionally broad in order to allow school districts and teachers the flexibility to create a curriculum that meets the needs of their students. They may relate to one, many, or all of the mathematics framework strands and may be combined and taught with other competencies throughout the school year. Competencies provide a general guideline of on-going instruction, not isolated units, activities, or skills. The competencies are not intended to be a list of content skills that are taught and recorded as “mastered.” The objectives indicate how competencies can be fulfilled through a progression of content and concepts at each grade level and course. Many of the objectives are interrelated rather than sequential, which means that objectives are not intended to be taught in the specific order in which they are presented. Multiple objectives can and should be taught at the same time. The Depth of Knowledge (DOK) level is indicated at the end of each objective.ALGEBRA II CONTENT STRANDS: Number and Operations Algebra Geometry Measurement Data Analysis & Probability
NUMBER AND OPERATIONS 1. Understand relationships among numbers and compute fluently. Verify with technology. a. Diagram the relationship among the subsets of the complex number system. (DOK 2) b. Compute with rational and radical expressions and complex numbers, expressing in simplest form. (DOK 1) c. Evaluate powers of the imaginary unit, i. (DOK 1) d. Perform computations, including addition, scalar multiplication, multiplication, determinants, and inverses on matrices. (DOK 1) e. Solve applications and problems in mathematical settings involving arithmetic and geometric sequences and series. (DOK 3) f. Explain and use the inverse relationship between exponential and logarithmic expressions. (DOK 2) g. Use the properties of logarithms to simplify logarithmic expressions and to find their approximate values. (DOK 1) h. Solve application problems involving exponential functions related to growth and decay. (DOK 3) ALGEBRA 2. Use algebraic concepts to identify patterns, use multiple representations of relations and functions, and apply operations to expressions, equations, and inequalities.
3. Use coordinate geometry to specify locations, describe relationships, and apply transformations to analyze algebraic relationships.
4. Understand measurable attributes of objects and apply appropriate techniques and formulas to determine measurements. | ||
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