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Algebra 1 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 explore relationships through mathematical modeling using mathematical expressions, equations and inequalities. Students will model rational numbers through the use of inverse operations, the associative, commutative, and distributive properties, and visual representations on number lines or a coordinate plane. Students will determine equivalence using substitution, variables, congruency, and conversion between fractions, decimals, and percents. Students will also deconstruct quantities using dimensional analysis and create prime factorizations.
Develop Accurate and Appropriate Procedural Fluency		Students will develop procedural fluency to model adding, subtracting, multiplying, and dividing real numbers. Students will use mathematical models to apply exponential relationships to distinguish between linear and nonlinear functions. Students will model prime factorization to simplify polynomial expressions and solve polynomial equations. Students will apply solving equations with rational values to mathematical models including: geometric formulas, dimensional analysis, science statistics, etc.
Develop Strategies for Problem Solving		Students will use mathematical modeling to solve problems in various contexts. Students will develop models, including manipulatives, to enhance and engage their understanding of the concept. Students will gain confidence in their modeling and develop an understanding that there may be more than one approach to solving a problem.
Develop Mathematical Reasoning		Students will develop their mathematical reasoning by utilizing estimation to apply logic to their conclusions. Students will explain (verbally or in writing), their mathematical modeling and make predictions based on their models. Students will make determinations in various contexts using their modeling and conceptual understanding of the concept.
Develop a Productive Mathematical Disposition		Students will develop a productive mathematical disposition by making connections between modeling mathematics inside a classroom and applying those models to mathematical situations outside of the classroom. Students will understand the steps when solving expressions and equations while comprehending the reasoning of the steps. Students will build confidence by working collaboratively, allowing mistakes, and being provided an opportunity to correct mistakes.
Develop the Ability to Make Conjectures, Model, and Generalize		Students will develop the ability to make conjectures, model and generalize by writing an expression, equation, or inequality that models a mathematical situation or scenario. Students will model concepts in various ways and predict experimental outcomes using probability. Students will model multiplicative and additive properties in various contexts.
Develop the Ability to Communicate Mathematically		Students will be able to communicate effectively by applying logic, reasoning, and vocabulary in writing, through discussions and modeling. Students translate words into mathematical sentences and vice versa. Students will explain their logic and reasoning to a concept with confidence while understanding others may come to the same conclusion using a different model.Students will be engaged while asking questions to further their knowledge and listening to others who use different models.