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11.1
Number Operations and Concepts
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11.1.1
Students represent and apply real numbers in a variety of forms.
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11.1.2
Students apply the structure and properties of the real number system.
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11.1.3
Students explain their choice of estimation and problem solving strategies and justify results of solutions in problem-solving situations involving real numbers.
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11.1.4
Students use proportional reasoning to solve problems.
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11.2
Geometry
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11.2.1
Students use transformations, congruency, symmetry, similarity, perpendicularity, parallelism, and the Pythagorean Theorem to solve problems.
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11.2.2
Students communicate, using mathematical language, to:
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11.2.2.a
Interpret, represent, or create geometric figures;
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11.2.2.b
Draw or build figures from a mathematical description;
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11.2.2.c
Analyze properties and determine attributes of 2- and 3- dimensional objects.
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11.2.3
Students communicate the reasoning used in identifying geometric relationships in problem-solving situations.
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11.2.4
Students solve problems involving the coordinate plane such as the distance between two points, the midpoint, and slope.
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11.2.5
Students connect geometry with other mathematical topics.
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11.3
Measurement
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11.3.1
Students apply estimation and measurement using the appropriate methods and units to solve problems involving length, weight/mass, area, surface area, volume, and angle measure.
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11.3.2
Students demonstrate an understanding of both metric and U. S. customary systems. Students are able to convert within each system.
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11.3.3
Students identify and apply scale, ratios, and proportions in solving measurement problems.
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11.3.4
Students solve problems of angle measure including those involving polygons or parallel lines cut by a transversal.
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11.3.5
Students solve indirect measurement problems.
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11.4
Algebra
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11.4.1
Students use algebraic concepts, symbols, and skills to represent and solve real-world problems.
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11.4.2
Students write, model, and evaluate expressions, functions, equations, and inequalities.
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11.4.3
Students graph linear equations and interpret the results in solving algebraic problems.
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11.4.4
Students solve, graph, or interpret systems of linear equations.
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11.4.5
Students connect algebra with other mathematical topics.
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11.5
Data Analysis and Probability
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11.5.1
Students apply knowledge of mean, median, mode, and range to interpret and evaluate information and data.
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11.5.2
Students draw reasonable inferences from statistical data and/or correlation/best fit line to predict outcomes.
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11.5.3
Students communicate about the likelihood of events using concepts from probability.
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11.5.3.a
sample space
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11.5.3.b
evaluate simple probabilities
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11.5.3.c
evaluate experimental vs. theoretical
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11.5.4
Students determine, collect, organize, and analyze relevant data needed to make conclusions.
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