Number and operations. The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to:
(A) classify whole numbers, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between sets of numbers;
(B) identify a number, its opposite, and its absolute value;
(C) locate, compare, and order integers and rational numbers using a number line;
(D) order a set of rational numbers arising from mathematical and real-world contexts; and
(E) extend representations for division to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0.
Number and operations. The student applies mathematical process standards to represent addition, subtraction, multiplication, and division while solving problems and justifying solutions. The student is expected to:
(A) recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values;
(B) determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one;
(C) represent integer operations with concrete models and connect the actions with the models to standardized algorithms;
(D) add, subtract, multiply, and divide integers fluently; and
(E) multiply and divide positive rational numbers fluently.