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make sense of problems and persevere in solving them
math competent students find meaning in problems and look for entry points to solve problems
reason abstractly and quantitatively
math competent students can make sense of numbers in relationship to real world situations
construct viable arguments and critique reasoning of others
math competent students can analyze data and communicate reasonable solutions
model with mathematics
math competent students can apply what they know to interpret problems arising in every day scenarios
use appropriate tools strategically
math competent students can use a wide range of resources to solve problems (tech, visual aid, graphs, charts, etc)
attend to precision
math competent students use clear definitions and explanations in discussing math reasoning
look for and make use of structure
math competent students can recognize math organizational patterns and themes
repeat and express math reasoning regularly
math competent students attend to details and look for shortcuts when evaluating mathematic solutions
kindergarten expectations
Students represent, relate, and operate on whole numbers using objects, describe shapes and space, and focus most kindergarten math instruction on number concepts
grade 1 expectations
Students develop understanding of addition and subtraction within 20, place value with tens and ones, linear measurement using repeated units, and the attributes and composition of geometric shapes
grade 2 expectations
Students should extend understanding of base-ten notation, building fluency with addition/subtraction, using standard units of measure, describing and analyzing shapes
grade 3 expectations
Students develop understanding of multiplication and division within 100, unit fractions, rectangular arrays and area, and the description and analysis of 2D shapes
grade 4 expectations
Students develop fluency with multi-digit multiplication, division with multi-digit dividends, fraction equivalence and operations with fractions, and classification of geometric figures by properties such as parallelism, perpendicularity, angles, and symmetry
grade 5 expectations
Students develop fluency with fraction addition and subtraction, understand fraction multiplication and limited division, extend division to two-digit divisors, integrate decimals into place value and operations, and develop understanding of volume
grade 6 expectations
Students connect ratios and rates to multiplication and division, complete understanding of fraction division and rational numbers (including negatives), write and use expressions and equations, and develop statistical thinking