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6.MA-06-1
Number Properties and Operations
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6.MA-06-1.1
Number Sense
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6.MA-06-1.1.1
Students will provide examples of and identify fractions, decimals and percents.
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6.MA-06-1.1.2
Students will describe and provide examples of representations of numbers (whole numbers, fractions in simplest form, mixed numbers, decimals, percents) and operations in a variety of equivalent forms using models, diagrams, and symbols (e.g., number lines, 10 by 10 grids, rectangular arrays, number sentences), based on real-world and mathematical problems.
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6.MA-06-1.1.3
Students will convert between any two of the following numbers: fractions, decimals, and percents (less than or equal to 100%); and will compare and order these numbers.
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6.MA-06-1.2
Estimation
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6.MA-06-1.2.1
Students will estimate to solve real-world and mathematical problems with whole numbers, fractions, decimals and percents, checking for reasonable and appropriate computational results.
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6.MA-06-1.3
Number Operations
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6.MA-06-1.3.1
Students will add, subtract, multiply and divide whole numbers, fractions and decimals to solve real-world problems and apply order of operations to simplify numerical expressions.
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6.MA-06-1.3.2
Students will explain how operations (addition and subtraction; multiplication and division) are inversely related.
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6.MA-06-1.4
Ratios and Proportional Reasoning
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6.MA-06-1.4.1
Students will describe and apply ratios to solve real-world problems.
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6.MA-06-1.5
Properties of Numbers and Operations
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6.MA-06-1.5.1
Students will identify and apply prime numbers, composite numbers, prime factorization, factors, multiples and divisibility to solve real-world and mathematical problems (e.g., prime factorization to determine a least common multiple [LCM] or greatest common factor [GCF]).
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6.MA-06-1.5.2
Students will identify the use of properties (commutative properties of addition and multiplication, the associative properties of addition and multiplication and the identity properties for addition and multiplication) to simplify numerical expressions.
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6.MA-06-2
Measurement
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6.MA-06-2.1
Measuring Physical Attributes
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6.MA-06-2.1.1
Students will measure lengths (to the nearest eighth of an inch or the nearest centimeter) and will determine and use in real-world and mathematical problems:
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6.MA-06-2.1.1.a
area and perimeter of triangles;
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6.MA-06-2.1.1.b
area and perimeter of quadrilaterals (rectangles, squares); (using the Pythagorean theorem will not be required as a strategy) and
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6.MA-06-2.1.1.c
area and perimeter of compound figures composed of triangles and quadrilaterals.
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6.MA-06-2.1.2
Students will estimate measurements in standard units including fractions and decimals.
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6.MA-06-2.1.3
Students will explain how measurements and measurement formulas are related or different (perimeter and area of rectangles).
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6.MA-06-2.2
Systems of Measurement
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6.MA-06-2.2.1
Students will convert units within the same measurement system and use these units to solve real-world problems.
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6.MA-06-3
Geometry
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6.MA-06-3.1
Shapes and Relationships
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6.MA-6-3.1.1
Students will describe and provide examples of the basic geometric elements (points, rays, lines, segments, angles [acute, right, obtuse], planes, radius, diameter, circumference).
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6.MA-06-3.1.2
Students will describe, and provide examples of the elements (e.g., sides, vertices, angles, congruent parts) of two-dimensional figures (circles, triangles, quadrilaterals, regular polygons), and will apply these elements and figures to solve real-world and mathematical problems.
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6.MA-06-3.1.3
Students will describe, provide examples of, and identify elements (e.g., vertices, angles, faces, edges, congruent parts) of common three-dimensional figures (spheres, cones, cylinders, prisms, and pyramids).
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6.MA-06-3.1.4
Students will identify and describe congruent figures, and will apply congruent figures to solve real-world and mathematical problems.
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6.MA-06-3.1.5
Students will identify similar figures and apply similar figures to solve real-world and mathematical problems.
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6.MA-06-3.2
Transformations of Shapes
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6.MA-06-3.2.1
Students will describe, provide examples of, and apply line symmetry to real-world and mathematical problems.
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6.MA-06-3.2.2
Students will:
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6.MA-06-3.2.2.a
reflect figures across a horizontal or vertical line in the first quadrant;
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6.MA-06-3.2.2.b
translate figures in a plane in the first quadrant and
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6.MA-06-3.2.2.c
determine the coordinates of the image after transformation in the first quadrant.
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6.MA-06-3.2.3
Students will identify rotations of figures in the plane (90° and 180°).
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6.MA-06-3.3
Coordinate Geometry
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6.MA-06-3.3.1
Students will identify and graph ordered pairs on a positive coordinate system (Quadrant I), correctly identifying the origin, axes and ordered pairs; and will apply graphing in the coordinate system to solve real-world and mathematical problems.
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6.MA-06-4
Data Analysis and Probability
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6.MA-06-4.1
Representations of Data Sets
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6.MA-06-4.1.1
Students will analyze and make inferences from data displays (drawings, tables/charts, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs, stem-and-leaf plots).
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6.MA-06-4.1.2
Students will explain how different representations of data (e.g., tables, graphs, diagrams, plots) are related.
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6.MA-06-4.1.4
Students will determine and construct appropriate data displays (bar graphs, line plots, Venn diagrams, tables, line graphs), and will explain why the type of display is appropriate for the data.
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6.MA-06-4.2
Characteristics of Data Sets
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6.MA-06-4.2.1
Students will determine and apply the mean, median, mode and range of a set of data.
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6.MA-06-4.4
Probability
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6.MA-06-4.4.1
Students will describe or determine (e.g., tables, tree diagrams) the sample space of an event for a real-world or mathematical situation.
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6.MA-06-4.4.2
Students will determine single event probabilities based on the results of an experiment and will make inferences based on the data.
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6.MA-06-4.4.3
Students will explore the theoretical probability of simple events.
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6.MA-06-5
Algebraic Thinking
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6.MA-06-5.1
Patterns, Relations and Functions
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6.MA-06-5.1.1
Students will extend, describe rules for patterns and find a missing term in a pattern from real-world and mathematical problems.
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6.MA-06-5.1.2
Students will create tables for functions and will apply the tables to solve real-world problems.
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6.MA-06-5.1.3
Students will describe, define, provide examples of, and apply to real-world and mathematical problems functions using tables, graphs and verbal rules.
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6.MA-06-5.1.4
Students will explain how tables, graphs and patterns relate to each other.
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6.MA-06-5.1.5
Students will explain how the change in one quantity affects change in another quantity (e.g., in tables or graphs, input/output tables).
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6.MA-06-5.2
Variables, Expressions and Operations
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6.MA-06-5.2.1
Students will substitute values for variables (up to two different variables) and evaluate algebraic expressions.
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6.MA-06-5.2.2
Students will describe, define and provide examples of variables and expressions with a missing value based on real-world and mathematical problems.
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6.MA-06-5.3
Equations and Inequalities
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6.MA-06-5.3.1
Students will model and solve real-world and mathematical problems with simple equations and inequalities (e.g., 8x = 4, x + 2 > 5).
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