7.1e - Absolute Value

7.1  The student will

e)  identify and describe absolute value of rational numbers.

BIG IDEAS

• I can avoid getting a speeding ticket, find total distances traveled regardless of direction, figure the commission charged for exchanging currency, and verify monthly balance of bank account after deposits and withdrawals.

• I will realize that absolute value refers to the distance, difference, and change between locations and magnitudes of numbers.

UNDERSTANDING THE STANDARD

·  The absolute value of a number is the distance from 0 on the number line regardless of direction. Distance is positive (e.g., ).

·   The absolute value of zero is zero.

ESSENTIALS

• Why is the absolute value of a number positive?
The absolute value of a number represents distance from zero on a number line regardless of direction. Distance is positive.

The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

·  7.1e1  Demonstrate absolute value using a number line.

·  7.1e2  Determine the absolute value of a rational number.

·  7.1e3  Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle to solve practical problems.

KEY VOCABULARY

rational, absolute value, equivalent, integer, positive, negative, zero, compare, number line, distance

Updated: Jul 30, 2019