Grade 6	Mathematical Processes	Week Taught	Week Reviewed
6.1.1	Generate and solve complex abstract problems that involve modeling physical, social, and/or mathematical phenomena.
6.1.2	Evaluate conjectures and pose follow-up questions to prove or disprove conjectures.
6.1.3	Use inductive and deductive reasoning to formulate mathematical arguments.
6.1.4	Understand equivalent symbolic expressions as distinct symbolic forms that represent the same relationship.
6.1.5	Generalize mathematical statements based on inductive and deductive reasoning.
6.1.6	Use correct and clearly written or spoken words, variables, and notations to communicate about significant mathematical tasks.
6.1.7	Generalize connections among a variety of representational forms and real-world situations.
6.1.8	Use standard and nonstandard representations to convey and support mathematical relationships.
	Number and Operations
6.2.1	Understand whole-number percentages through 100.
6.2.2	Understand integers.
6.2.3	Compare rational numbers and whole-number percentages through 100 by using the symbols ≤, ≥, <, >, and =.
6.2.4	Apply an algorithm to add and subtract fractions.
6.2.5	Generate strategies to multiply and divide fractions and decimals.
6.2.6	Understand the relationship between ratio/rate and multiplication/division.
6.2.7	Apply strategies and procedures to determine values of powers of 10, up to 106.
6.2.8	Represent the prime factorization of numbers by using exponents.
6.2.9	Represent whole numbers in exponential form.
	Algebra
6.3.1	Analyze numeric and algebraic patterns and pattern relationships
6.3.2	Apply order of operations to simplify whole-number expressions.
6.3.3	Represent algebraic relationships with variables in expressions, simple equations, and simple inequalities.
6.3.4	Use the commutative, associative, and distributive properties to show that two expressions are equivalent.
6.3.5	Use inverse operations to solve one-step equations that have whole-number solutions and variables with whole-number coefficients.
	Geometry
6.4.1	Represent with ordered pairs of integers the location of points in a coordinate grid.
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.
6.4.3	Generalize the relationship between line symmetry and rotational symmetry for two-dimensional shapes.
6.4.4	Construct two-dimensional shapes with line or rotational symmetry
6.4.5	Identify the transformation(s) used to move a polygon from one location to another in the coordinate plane.
6.4.6	Explain how transformations affect the location of the original polygon in the coordinate plane.
6.4.7	Compare the angles, side lengths, and perimeters of similar shapes.
6.4.8	Classify shapes as similar.
6.4.9	Classify pairs of angles as either complementary or supplementary.
	Measurement
6.5.1	Explain the relationships among the circumference, diameter, and radius of a circle.
6.5.2	Apply strategies and formulas with an approximation of pi  to find the circumference and area of a circle.
6.5.3	Generate strategies to determine the surface area of a rectangular prism and a cylinder
6.5.4	Apply strategies and procedures to estimate the perimeters and areas of irregular shapes.
6.5.5	Apply strategies and procedures of combining and subdividing to find the perimeters and areas of irregular shapes.
6.5.6	Use proportions to determine unit rates.
6.5.7	Use a scale to determine distance.
	Data Analysis and Probability
6.6.1	Predict the characteristics of one population based on the analysis of sample data.
6.6.2	Organize data in frequency tables, histograms, or stem-and-leaf plots as appropriate.
6.6.3	Analyze which measure of central tendency (mean, median, or mode) is the most appropriate for a given purpose.
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.
6.6.5	Apply procedures to calculate the probability of complementary events.