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6-1
Mathematical Processes
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6-1.1
Generate and solve complex abstract problems that involve modeling physical, social, and/or mathematical phenomena.
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6-1.2
Evaluate conjectures and pose follow-up questions to prove or disprove conjectures.
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6-1.3
Use inductive and deductive reasoning to formulate mathematical arguments.
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6-1.4
Understand equivalent symbolic expressions as distinct symbolic forms that represent the same relationship.
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6-1.5
Generalize mathematical statements based on inductive and deductive reasoning.
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6-1.6
Use correct and clearly written or spoken words, variables, and notations to communicate about significant mathematical tasks.
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6-1.7
Generalize connections among a variety of representational forms and real-world situations.
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6-1.8
Use standard and nonstandard representations to convey and support mathematical relationships.
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6-2
Number and Operations
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6-2.1
Understand whole-number percentages through 100.
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6-2.2
Understand integers.
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6-2.3
Compare rational numbers and whole-number percentages through 100 by using the symbols "less than or equal to", "greater than or equal to", <, >, and =.
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6-2.4
Apply an algorithm to add and subtract fractions.
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6-2.5
Generate strategies to multiply and divide fractions and decimals.
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6-2.6
Understand the relationship between ratio/rate and multiplication/division.
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6-2.7
Apply strategies and procedures to determine values of powers of 10, up to 10 to the 6th power.
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6-2.8
Represent the prime factorization of numbers by using exponents.
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6-2.9
Represent whole numbers in exponential form.
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6-3
Algebra
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6-3.1
Analyze numeric and algebraic patterns and pattern relationships.
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6-3.2
Apply order of operations to simplify whole-number expressions.
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6-3.3
Represent algebraic relationships with variables in expressions, simple equations, and simple inequalities.
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6-3.4
Use the commutative, associative, and distributive properties to show that two expressions are equivalent.
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6-3.5
Use inverse operations to solve one-step equations that have whole-number solutions and variables with whole-number coefficients.
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6-4
Geometry
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6-4.1
Represent with ordered pairs of integers the location of points in a coordinate grid.
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6-4.2
Apply strategies and procedures to find the coordinates of the missing vertex of a square, rectangle, or right triangle when given the coordinates of the polygon's other vertices.
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6-4.3
Generalize the relationship between line symmetry and rotational symmetry for two-dimensional shapes.
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6-4.4
Construct two-dimensional shapes with line or rotational symmetry.
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6-4.5
Identify the transformation(s) used to move a polygon from one location to another in the coordinate plane.
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6-4.6
Explain how transformations affect the location of the original polygon in the coordinate plane.
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6-4.7
Compare the angles, side lengths, and perimeters of similar shapes.
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6-4.8
Classify shapes as similar.
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6-4.9
Classify pairs of angles as either complementary or supplementary.
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6-5
Measurement
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6-5.1
Explain the relationships among the circumference, diameter, and radius of a circle.
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6-5.2
Apply strategies and formulas with an approximation of pi (3.14, or 22/7) to find the circumference and area of a circle.
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6-5.3
Generate strategies to determine the surface area of a rectangular prism and a cylinder.
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6-5.4
Apply strategies and procedures to estimate the perimeters and areas of irregular shapes.
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6-5.5
Apply strategies and procedures of combining and subdividing to find the perimeters and areas of irregular shapes.
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6-5.6
Use proportions to determine unit rates.
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6-5.7
Use a scale to determine distance.
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6-6
Data Analysis and Probability
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6-6.1
Predict the characteristics of one population based on the analysis of sample data.
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6-6.2
Organize data in frequency tables, histograms, or stem-and-leaf plots as appropriate.
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6-6.3
Analyze which measure of central tendency (mean, median, or mode) is the most appropriate for a given purpose.
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6-6.4
Use theoretical probability to determine the sample space and probability for one- and two-stage events such as tree diagrams, models, lists, charts, and pictures.
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6-6.5
Apply procedures to calculate the probability of complementary events.
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