Standard 1 Numbers and Computation

Number Sense – Knowledge Obj. 5a p

The student knows and explains what happens to the product or quotient when a positive number is multiplied or divided by a rational number greater than zero and less than one. (2.4.K1a)

Number Sense – Knowledge Obj. 5b p

The student knows and explains what happens to the product or quotient when a positive number is multiplied or divided by a rational number greater than one. (2.4.K1a)

Number Sense – Knowledge Obj. 5c p

The student knows and explains what happens to the product or quotient when a nonzero real number is multiplied or divided by zero. (2.4.K1a)

Number Systems – Knowledge Obj. 2  p

The student 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.

Number Systems – Application  Obj.1a  p

The student 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. (2.4.A1a)

Number Systems – Application  Obj.1b  p

The student 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. (2.4.A1a)

Computation – Knowledge Obj. 2a p N

The student performs and explains these computational procedures with rational numbers: addition, subtraction, multiplication, and division of integers. (2.4.K1a)

Computation – Knowledge Obj. 2b p N

The student 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). (2.4.K1a)

Computation – Application Obj. 1a p<

The student generates and/or solves one- and two-step real-world problems using computational procedures and mathematical concepts: rational numbers. (2.4.A1a)

Computation – Application Obj. 1b p

The student generates and/or solves one- and two-step real-world problems using computational procedures and mathematical concepts: the irrational number pi as an approximation. (2.4.A1a)

Computation – Application Obj. 1c p

The student generates and/or solves one- and two-step real-world problems using computational procedures and mathematical concepts: applications of percents. (2.4.A1a)

Standard 2 Algebra

Variables, Equations, Inequalities- Knowledge Obj. 3a p

The student solves one- and two-step linear equations in one variable with rational number coefficients and constants intuitively and/or analytically. (2.4.K1a, e)

Variables, Equations, Inequalities- Application Obj.1a p<

The student represents real-world problems using variables, symbols, expressions, one- or two-step equations with rational number coefficients and constants. (2.4.A1d)

Functions – Application Obj. 3 p

The student translates between the numerical, tabular, graphical, and symbolic representations of linear relationships with integer coefficients and constants. (2.4.A1a)

Models – Application Obj. 2 p

The student determines if a given graphical, algebraic, or geometric model is an accurate representation of a given real-world situation.

Standard 3 Geometry

Geometric Figures & Properties – Application Obj. 1a p<

The student solves real-world problems by using the properties of corresponding parts of similar and congruent figures. (2.4.A1a)

Geometric Figures & Properties – Knowledge  Obj. 6a p

The student uses the Pythagorean theorem to determine if a triangle is a right triangle. (2.4.K1h)

Geometric Figures & Properties – Knowledge  Obj. 6b p

The student uses the Pythagorean theorem to find a missing side of a right triangle where the lengths of all three sides are whole numbers. (2.4.K1h)

Geometry from Algebraic Perspective – Knowledge 1a p

The student uses the coordinate plane to list several ordered pairs on the graph of a line and find the slope of the line. (2.4.K1a)

Geometry from Algebraic Perspective – Knowledge 1b p

The student uses the coordinate plane to recognize that ordered pairs that lie on the graph of an equation are solutions to that equation. (2.4.K1a)

Geometry from Algebraic Perspective – Knowledge 1c p

The student uses the coordinate plane to recognize that points that do not lie on the graph of an equation are not solutions to that equation. (2.4.K1a)

Geometry from Algebraic Perspective – Knowledge 1d p

The student uses the coordinate plane to determine the length of a side of a figure drawn on a coordinate plane with vertices having the same x- or y-coordinates. (2.4.K1a)

Standard 4 Data Analysis

Data Analysis

Probability – Knowledge Obj. 3 p

The student finds the probability of a compound event composed of two independent events in an experiment, simulation, or situation. (2.4.K1j)

Probability – Application Obj. 4a p<

The student makes predictions based on the theoretical probability of a simple event in an experiment or simulation. (2.4.A1a, i)

Statistics – Knowledge – Obj. 3 p

The student determines and explains the measures of central tendency (mode, median, mean) for a rational number data set. (2.4.K1a)