#### Math - 2019-20

# 7.1e - Absolute Value

7.1The student wille)

identifyanddescribeabsolute value of rational numbers.

*Adopted: 2016*

### 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

2016 VDOE Curriculum Framework - 7.1 Understanding

· 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**

· 7.1e_{1} **Demonstrate**
absolute value using a number line.

· 7.1e_{2} **Determine**
the absolute value of a rational number.

· 7.1e_{3} **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*