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6.M1
Numbers and Operations
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6.M1a
Decompose and recompose whole numbers using factors and exponents;
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6.M1b
Find and use prime factorization of composite numbers;
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6.M1c
Use simple expressions involving integers to represent and solve problems;
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6.M1d
Compare and order positive and negative decimals and fractions and find their locations on a number line;
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6.M1e
Interpret and use ratios in different contexts to show relative sizes of two quantities, using appropriate notations, i.e., a/b, a to b, a:b;
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6.M1f
Use order of operations, including the use of exponents, decimals, rational numbers, to simplify numerical expressions;
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6.M1g
Explain the meaning and effects of arithmetic operations with positive numbers to include fractions, decimals, and percents;
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6.M1h
Perform fraction and decimal computations and justify the solutions;
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6.M1i
Estimate reasonableness of solutions to problems involving fractions and decimals;
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6.M1j
Select and use appropriate methods and tools for computing with fractions and decimals.
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6.M2
Algebra
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6.M2a
Recognize and generate equivalent forms of algebraic expressions.
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6.M2b
Explain how the commutative, associative and distributive properties generate equivalent forms;
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6.M2c
Solve simple linear equations and inequalities;
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6.M2d
Use symbolic algebra to represent situations, i.e., relationships found in geometry;
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6.M2e
Evaluate simple expressions by replacing variables with given values, and use formulas in problem-solving situations;
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6.M2f
Create and interpret tables and graphs to draw conclusions and make predictions;
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6.M2g
Create and compare representations that display constant and varying rates of change.
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6.M3
Geometry
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6.M3a
Describe and classify two- and three-dimensional shapes using their defining properties;
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6.M3b
Identify and plot points on a coordinate plane in all quadrants;
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6.M3c
Describe sizes, positions, orientations of shapes, after rotations, reflections, and translations;
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6.M3d
Recognize, explain, and perform up to two transformations on two-dimensional shapes;
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6.M3e
Draw and identify two-dimensional geometric figures with specific side length or angle measure;
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6.M3f
Describe and use properties of similarity and congruency with two-dimensional figures to solve problems.
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6.M4
Measurement
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6.M4a
Explain the relationship between area and perimeter of a rectangle when one attribute is changed and the other remains constant;
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6.M4b
Investigate the precision of measurement required for tasks as well as the capability/accuracy of the instruments;
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6.M4c
Develop and use formulas to find the perimeters and areas of triangles and quadrilaterals and to find the area and circumference of circles;
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6.M4e
Find the perimeter and area of irregular polygons;
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6.M4f
Identify rate as a form of measurement based on time, i.e., mph, rpm, cc/min.
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6.M5
Data Analysis and Probability
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6.M5a
Read and use graphical representations to make predictions and/or draw conclusions;
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6.M5b
Formulate questions, design a study, and evaluate the data to reach a conclusion about characteristics shared by two populations or different characteristics that exist within a population;
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6.M5c
Identify the measures of central tendency and spread of a data set to describe what it indicates about the data set;
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6.M5d
Explain the effects of scale and/or interval changes in graphs that lead to misunderstandings;
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6.M5e
Select, construct, interpret, and justify the appropriate graphical representation of data;
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6.M5f
Use 0, 1, and ratios between 0 and 1 to represent the probability of outcomes for an event;
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6.M5g
Describe and model all possible outcomes of simple events using tree diagrams, organized lists, etc.;
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6.M5h
Explain why the sum of the probabilities of all possible outcomes of a particular event is one.
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