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6.M.1
Number and Operation
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6.M.1.1
Understand and use numbers.
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6.M.1.1.1
Compare magnitudes and relative magnitudes of positive rational numbers, including whole numbers through billions, fractions, and decimals.
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6.M.1.1.2
Explain the interrelationship of fractions, decimals, and percents.
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6.M.1.1.3
Locate the position of integers on a number line.
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6.M.1.1.4
Convert between decimals and fractions.
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6.M.1.1.5
Apply number theory concepts (prime, composite, prime factorization) and identify common factors and common multiples.
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6.M.1.1.6
Solve problems using the 4-step process of problem solving (explore, plan, solve, and examine).
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6.M.1.1.7
Describe the use of integers in real-world situations.
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6.M.1.1.8
Use appropriate vocabulary.
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6.M.1.2
Perform computations accurately.
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6.M.1.2.1
Recall basic multiplication and division facts from 12 x 12 Times Table.
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6.M.1.2.2
Add, subtract, multiply, and divide whole numbers, decimals, and simple fractions (including unlike denominators).
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6.M.1.2.3
Evaluate numerical expressions with whole numbers using the order of operations (excluding exponents).
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6.M.1.2.4
Select and use an appropriate method of computation from mental math, paper and pencil, calculator or a combination of the three.
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6.M.1.2.5
Use a variety of strategies to solve real life problems.
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6.M.1.2.6
Use appropriate vocabulary and notations.
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6.M.1.3
Estimate and judge reasonableness of results.
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6.M.1.3.1
Estimate to predict computation results.
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6.M.1.3.2
Explain when estimation is appropriate.
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6.M.1.3.3
Identify whether a given estimate is an overestimate or underestimate.
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6.M.1.3.4
Use a four-function calculator to solve complex grade-level problems.
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6.M.1.3.5
Formulate conjectures and discuss why they must be or seem to be true.
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6.M.1.3.6
Use appropriate vocabulary.
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6.M.2
Concepts and Principles of Measurement
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6.M.2.1
Understand and use U.S. customary and metric measurements.
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6.M.2.1.1
Select and use appropriate units and tools to make formal measurements in both systems.
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6.M.2.1.2
Apply estimation of measurement to real-world and content problems using standard measuring devices.
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6.M.2.1.3
Apply understanding of relationships to solve real-world problems related to elapsed time.
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6.M.2.1.4
Given the formulas, find the perimeter or circumference and area of triangles, circles and parallelograms (all kinds).
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6.M.2.1.5
Convert units of measurement within each system in one-step problems (e.g., quarts to gallons and gallons to quarts).
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6.M.2.1.6
Solve problems involving perimeter and area of rectangles.
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6.M.2.1.7
Use appropriate vocabulary and notations.
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6.M.2.2
Apply the concepts of rates, ratios, and proportions.
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6.M.2.2.1
Identify and write ratios and scales (on a map).
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6.M.3
Concepts and Language of Algebra and Functions
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6.M.3.1
Use algebraic symbolism as a tool to represent mathematical relationships.
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6.M.3.1.1
Discuss the meaning and use of variables in simple expressions and equations.
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6.M.3.1.2
Translate simple word statements into algebraic equations.
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6.M.3.1.3
Read and use symbols of "<," ">," and "=" to express relationships.
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6.M.3.2
Evaluate algebraic expressions.
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6.M.3.2.1
Use the following properties in evaluating numerical expressions: commutative, associative, identity, zero, inverse, and distributive.
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6.M.3.2.2
Evaluate simple algebraic expressions using substitution.
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6.M.3.3
Solve algebraic equations and inequalities.
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6.M.3.3.1
Solve one-step equations with whole numbers.
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6.M.3.4
Understand the concept of functions.
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6.M.3.4.1
Extend simple patterns and state a rule (function) that generates the pattern using whole numbers, decimals, and fractions as inputs.
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6.M.3.4.2
Describe and extend patterns by using manipulatives and pictorial representations.
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6.M.3.4.3
Use mathematical models to show change in a real-world context.
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6.M.3.4.4
Use appropriate vocabulary.
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6.M.3.6
Apply functions to a variety of problems.
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6.M.3.6.1
Use patterns to represent and solve simple problems.
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6.M.4
Concepts and Principles of Geometry
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6.M.4.1
Apply concepts of size, shape, and spatial relationships.
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6.M.4.1.1
Describe relationships among types of one- and two-dimensional geometric figures, using their defining properties.
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6.M.4.1.2
Draw and measure various angles and shapes using appropriate tools.
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6.M.4.1.3
Apply fundamental concepts, properties, and relationships among points, lines, rays, and angles.
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6.M.4.1.4
Describe reflections, translations, and rotations on various shapes.
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6.M.4.1.5
Identify congruence, similarities, and line symmetry of shapes.
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6.M.4.1.6
Discuss the spatial relationship between two- and three-dimensional objects.
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6.M.4.1.7
Use appropriate vocabulary and symbols.
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6.M.4.3
Apply graphing in two dimensions.
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6.M.4.3.1
Identify and plot points in the first quadrant on a coordinate plane.
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6.M.5
Data Analysis, Probability, and Statistics
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6.M.5.1
Understand data analysis.
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6.M.5.1.1
Read and interpret tables, charts, and graphs, including broken line graphs, bar graphs, frequency tables, line plots, and circle graphs.
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6.M.5.1.2
Explain and justify stated conclusions drawn from tables, charts, and graphs.
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6.M.5.1.3
Use appropriate vocabulary and notations.
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6.M.5.2
Collect, organize, and display data.
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6.M.5.2.1
Collect, organize, and display the data with appropriate notation in tables, charts, and graphs, including broken line graphs, bar graphs, frequency tables and line plots.
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6.M.5.3
Apply simple statistical measurements.
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6.M.5.3.1
Find measures of central tendency - mean, median, and mode - with simple sets of data.
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6.M.5.3.2
Calculate the range of a set of data.
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6.M.5.4
Understand basic concepts of probability.
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6.M.5.4.1
Predict, perform, and record results of simple probability experiments.
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6.M.5.4.2
Use the language of probability.
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6.M.5.5
Make predictions or decisions based on data.
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6.M.5.5.1
Make predictions based on data.
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