8.1.2.A1ab - Algebraic Properties
a) Generates and/or solves real-world problems with rational numbers using the concepts of these properties to explain reasoning (commutative, associative, distributive, and substitution properties).
b) Generates and/or solves real-world problems with rational numbers using the concepts of these properties to explain reasoning (identity and inverse properties of addition and multiplication).

8.1.2.K2 - Real Number System
Identifies all the subsets of the real number system [natural (counting) numbers, whole numbers, integers, rational numbers, irrational numbers] to which a given number belongs. (For the purpose of assessment, irrational numbers will not be included.).

8.1.4.A1abc – Writing One- and Two-step Problems
a) Generates and/or solves one- and two-step real-world problems using computational procedures and mathematical concepts with rational numbers.
b) Generates and/or solves one- and two-step real-world problems using computational procedures and mathematical concepts with the irrational number pi as an approximation.
c) Generates and/or solves one- and two-step real-world problems using computational procedures and mathematical concepts with applications of percents.

8.1.4.K2ab – Integers and Order of Operations (non calculator item)
a) Performs and explains these computational procedures with rational numbers: addition, subtraction, multiplication, and division of integers.
b) Performs and explains these computational procedures with rational numbers order of operations (evaluates within grouping symbols, evaluates powers to the second or third power, multiplies or divides in order from left to right, then adds or subtracts in order from left to right).

8.2.2.A1a - Writing Equations from Word Problems
Represents real-world problems using variables, symbols, expressions, one- or two-step equations with rational number coefficients and constants.

8.2.2.K3a - Solving One- and Two-Step Equations
Solves one- and two-step linear equations in one variable with rational number coefficients and constants intuitively and/or analytically.

8.2.3.A3 - Functions
Translates between the numerical, tabular, graphical, and symbolic representations of linear relationships with integer coefficients and constants.

8.2.4.A2 - Comparing Linear Graphs to Equations
Determines if a given graphical, algebraic, or geometric model is an accurate representation of a given real-world situation.

8.3.1.A1a - Geometric Figures and Properties
Solves real-world problems by using the properties of corresponding parts of similar and congruent figures.

8.3.1.K6ab - Pythagorean Theorem
Uses the Pythagorean theorem to:
a) Determine if a triangle is a right triangle
b) Find a missing side of a right triangle where the lengths of all three sides are whole numbers

8.3.4.K1abcd - Coordinate Plane
Uses the coordinate plane to:
a) List several ordered pairs on the graph of a line and find the slope of the line
b) Recognize that ordered pairs that lie on the graph of an equation are solutions to that equation
c) Recognize that points that do not lie on the graph of an equation are not solutions to that equation
d) Determine the length of a side of a figure drawn on a coordinate plane with vertices having the same x- or y-coordinates

8.4.1.A4a - Simple Probability
Makes predictions based on the theoretical probability of a simple event in an experiment or simulation.

8.4.1.K3 - Compound Probability
Finds the probability of a compound event composed of two independent events in an experiment, simulation, or situation.