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6th Grade 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		The student will engage previous knowledge of mathematical concepts, operations, and relations in order to understand mathematical expressions, equations and inequalities involving variables and rational numbers. Their understanding will include the use of inverse operations, the associative, commutative, and distributive properties, and visual representations on number lines or a coordinate plane. Students will define equivalence using substitution, variables, congruency, and conversion between fractions, decimals, and percents. Students will use deconstruction to determine the area of polygons and create prime factorizations. Students will be able to solve mathematical problems involved in real world situations by choosing how and when to apply the knowledge they possess.
Develop Accurate and Appropriate Procedural Fluency		Students will choose appropriate algorithms to add and subtract integers or multiply and divide fractions, decimals, and mixed numbers. Students will use exponents to represent prime factorizations, and follow the order of operations when solving expressions or equations. Students will choose the most appropriate representation of a quantity including formulas for area of rectangles, parallelograms, and triangles. Students will respond to opportunities to justify their chosen mathematical strategies, processes, and algorithms. Students will become fluent as they strengthen their understanding, skill, and confidence through application and practice.
Develop Strategies for Problem Solving		Students will recognize relationships, apply rules or formulas, use known information to find missing values, break problems into smaller components, and make connections to real world situations. Students will select from several problem solving strategies and use the appropriate representations. Students will construct models, use manipulatives, and select appropriate tools to enhance their understanding of a problem or formulate appropriate questions. Students will develop and strengthen an awareness of their thinking patterns and processes as they work through problems utilizing methods to verify their own answers in context and will not be afraid to question the reasonableness of their solutions.
Develop Mathematical Reasoning		Students will use estimation to assess reasonableness of answers. Students will express why they have chosen the strategy, algorithm, or representation as the best fit for mathematical situations. Students will make predictions of the effects of translations, rotations, and reflections. Students will determine similarities/differences, whether a substitution results in a true or false inequality or equation, and relate measures of central tendency to real-world data sets and probability to real-world sample spaces. Students will be able to critique the strategies of problem solving of others to evaluate mathematical arguments and create counterarguments while connecting to other contexts.
Develop a Productive Mathematical Disposition		Students will make personal connections between math and things beyond the classroom building on their belief that math is sensible, useful, and worthwhile. Students will continue to work to develop disciplines to write each step when solving expressions and equations or when making conversions while focusing on the process and reasons behind the algorithm or strategy. Students will be willing to work collaboratively, take risks, and revise thinking or processes as needed, building confidence on their successes in order to persevere and be resilient, effective problem solvers.
Develop the Ability to Make Conjectures, Model, and Generalize		Students will write an expression, equation, or inequality that represents a real world situation. Students will represent varying quantities in multiple ways, graph solutions, and model concepts such as area, congruency, and distance. Students make predictions about experimental outcomes using probability. Students will understand that multiplicative and additive properties work the same for fractions, decimals, and percents as they do with whole numbers. Students will engage their math reasoning to make predictions and draw conclusions as they work to solve problems.
Develop the Ability to Communicate Mathematically		Students will communicate effectively with peers and teachers using appropriate vocabulary in writing, through discussions in pairs or small groups, and by presenting to the class. Students will explain differences, rules, procedures, and how to apply each while providing the reason for choosing the particular strategy or representation over other options. Students will describe mathematical situations and how these relate to the real world. Students will generate purposeful questions to further their knowledge, reframing ideas presented by others to identify gaps in their understanding.