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#### MA 8.1.1.a

Compare and order real numbers

#### MA 8.1.1.b

Demonstrate relative position of real numbers on the number line (e.g., square root of 2 is left of 1.5)

#### MA 8.1.1.c

Represent small numbers using scientific notation

#### MA 8.1.1.d

Classify numbers as natural, whole, integer, rational, irrational, or real

#### MA 8.1.2.a

Use drawings, words, and symbols to explain the meaning of addition, subtraction, multiplication, and division of integers.

#### MA 8.1.2.b

Use words and symbols to explain the zero property of multiplication (e.g., if ab = 0 then a or b or both must be zero)

#### MA 8.1.2.c

Use words and symbols to explain why division by zero is undefined

#### MA 8.1.3.a

Compute accurately with rational numbers

#### MA 8.1.3.b

Evaluate expressions involving absolute value of integers

#### MA 8.1.3.c

Calculate squares of integers, the square roots of perfect squares, and the square roots of whole numbers using technology

#### MA 8.1.3.d

Select, apply, and explain the method of computation when problem solving using rational numbers (e.g., models, mental computation, paper-pencil, technology, divisibility rules)

#### MA 8.1.3.e

Solve problems involving ratios and proportions (e.g., x/(5 ) = 10/17 )

#### MA 8.1.4

Use estimation methods to check the reasonableness of solutions for problems involving rational numbers

#### MA 8.2.1.a

Identify and describe similarity of three-dimensional objects

#### MA 8.2.1.b

Compare and contrast relationships between similar and congruent objects

#### MA 8.2.1.c

Identify geometric properties of parallel lines cut by a transversal and related angles (e.g., perpendicular and parallel lines with transversals) and angles (e.g., corresponding, alternate interior, alternate exterior)

#### MA 8.2.1.d

Identify pairs of angles (e.g., adjacent, complementary, supplementary, vertical)

#### MA 8.2.1.e

Examine the relationships of the interior angles of a triangle (e.g., the sum of the angles is 180 degrees)

#### MA 8.2.2

Use coordinate geometry to represent and examine the properties of rectangles and squares using horizontal and vertical segments

#### MA 8.2.3.a

Identify the similarity of dilated shapes

#### MA 8.2.3.b

Perform and describe positions and sizes of shapes under dilations (e.g., scale factor, ratios)

#### MA 8.2.4

Draw geometric objects with specified properties (e.g., parallel sides, number of sides, angle measures, number of faces)

#### MA 8.2.5.a

Use strategies to find the perimeter and area of complex shapes

#### MA 8.2.5.b

Determine surface area and volume of three-dimensional objects (e.g., rectangular prisms, cylinders)

#### MA 8.2.5.c

Apply the Pythagorean theorem to find missing lengths in right triangles and to solve problems

#### MA 8.2.5.d

Use scale factors to find missing lengths in similar shapes

#### MA 8.2.5.e

Convert between metric and standard units of measurement, given conversion factors (e.g., meters to yards)

#### MA 8.3.1.a

Represent and analyze a variety of patterns with tables, graphs, words, and algebraic equations

#### MA 8.3.1.b

Describe relationships using algebraic expressions, equations, and inequalities (e.g., two-step, one variable)

#### MA 8.3.1.c

Identify constant slope from tables and graphs

#### MA 8.3.2.a

Model contextualized problems using various representations (e.g., two-step/one variable equations)

#### MA 8.3.2.b

Represent a variety of quantitative relationships using algebraic expressions and two-step/one variable equations

#### MA 8.3.3.a

Explain the multiplicative inverse (e.g., 4 * = 1)

#### MA 8.3.3.b

Evaluate numerical expressions containing whole number exponents (e.g., if x = 4, then (x + 3)2 + 5x = ?)

#### MA 8.3.3.c

Solve multi-step equations involving rational numbers

#### MA 8.3.3.d

Solve two-step inequalities involving rational numbers

#### MA 8.3.3.e

Identify and explain the properties used in solving two-step inequalities and multi-step equations

#### MA 8.4.1.a

Represent data using circle graphs and box plots with and without the use of technology

#### MA 8.4.1.b

Compare characteristics between sets of data or within a given set of data

#### MA 8.4.1.c

Find, interpret, and compare measures of central tendency (mean, median, mode) and the quartiles for sets of data

#### MA 8.4.1.d

Select the most appropriate unit of central tendency for sets of data

#### MA 8.4.1.e

Identify misrepresentation and misinterpretation of data represented in circle graphs and box plots

#### MA 8.4.2.a

Evaluate predictions to formulate new questions and plan new studies

#### MA 8.4.2.b

Compare and contrast two sets of data to make inferences

#### MA 8.4.3.a

Identify complementary events and calculate their probabilities

#### MA 8.4.3.b

Compute probabilities for independent compound events