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Algebra 2 MAPs

Page history last edited by Brigit Minden 12 months ago

Throughout their Pk-12 education experience, mathematically literate students will:

Develop a Deep and Flexible Conceptual Understanding		Students will deepen their conceptual understanding of algebra by expanding their knowledge of numbers and operations to include complex numbers, rational exponents and matrices. Students will refine their algebraic and functional knowledge to include working with quadratic, polynomial, radical, exponential, logarithmic, rational and piecewise equations/functions and their combinations, compositions and inverses if they exist. Students will also extend their knowledge of probability and statistics to include concepts of normal distribution, nonlinear regression and data collection techniques and analysis.
Develop Accurate and Appropriate Procedural Fluency		Students will develop procedural fluency by solving, simplifying and developing models (equations, expressions, functions, tables, matrices, etc). Students will develop new procedures to convert between rational exponents and radicals; arithmetic sequences and linear models; geometric sequences and exponential models; exponentials and logarithms; functions and their inverses; and other related concepts.
Develop Strategies for Problem Solving		Students will develop strategies to engage in the mathematical modeling process (i.e. analyzing situations, defining variables, constructing models, interpreting results with models) with linear and nonlinear relationships to solve problems in various contexts.
Develop Mathematical Reasoning		Students will develop their mathematical reasoning by applying logic to analyze and critique the veracity of mathematical statements and conclusions. Students will also make connections between mathematical models and the contexts and situations that they represent. Students will defend their different paths to a solutions and conclusions and engage in mathematical conversations with their peers and instructor about the efficiency of each path.
Develop a Productive Mathematical Disposition		Students will develop a productive mathematical disposition by understanding how different models (equations, expressions, functions, tables, matrices, etc) can be helpful in modeling various situations, contexts and relationships in the world. They will also understand how probability and statistics can help both represent and inform personal and collective choices and decisions in various ways and situations.
Develop the Ability to Make Conjectures, Model, and Generalize		Students will develop the ability to generalize properties of transformations within any given function and identify inverses of functions by sight or algebraically. Students will also develop the ability to model by using tools such as graphing calculators to visually create and identify functions and their properties. Students will make conjectures as to the function that best models a mathematical situation or scenario.
Develop the Ability to Communicate Mathematically		Students will develop the ability to communicate mathematically by becoming fluent in function notation; translating between algebraic and symbolic representations with ease; defending their solutions verbally and in writing; and becoming aware of the duality of words (such as zero, solutions, roots, x-intercepts) and how they might relate to the same concept.