6.NS.7

6.NS.7

Winter Break

Learning Objective

SWBAT compare and order two or more integers using the number line

Key Point

We use number lines to compare numbers and as we move left to right on the number line, the value increases.

Multiple Choice

Which answer choice below correctly compares -7 and -3 ?

• -3 < -7 because -3 is to the left of -7 on the number line

• -3 > -7 because -7 is to the left of -3 on the number line

• -7 > -3 because -7 is farther away from 0

• -7 < -3 because -3 is farther away from 0

Learning Objective

SWBAT distinguish between order and magnitude in real-world context

Key Point

The value of a number is its position on a number line. The magnitude of a number is the size or distance of that number from 0.

Fill in the Blanks

Sam's bank account balance reads -$2.50. Hanks bank account balance reads -$1.75. Who has more money in his account? Who has a greater debt?

Multiple Select

Josh owes $8 and Tami owes $9. Which statement below is correct based on this information? Select two that apply.

• Josh has more money than Tami because -8 > -9

• Tami has more money that Josh because |-9| > |-8|

• Josh has a greater debt than Tami because -8 > -9

• Tami has a greater debt than Josh because |-9| > |-8|

Open Ended

Patrice and Arnold went to the bank together and checked their account balances. Patrice's balance was -550.75 and Arnold's was -560.34. Who has a greater debt? Explain using the concept of absolute value.

Learning Objective

SWBAT write, interpret and explain statements of order for rational numbers in real-world context.

Key Point

Context determines whether we are comparing value or magnitude

Value: position (altitude, elevation, above/below) --- number line

Magnitude: Distance, debt, change --- absolute value

Multiple Choice

Given the inequality statement below, which situation best describes the inequality? Use either a number line or absolute value to explain your thinking.

-2 1/2 > - 4 1/2

• A debt of 2 1/2 dollars is a greater debt than a debt of 4 1/2 dollars

• A person swimming 4 1/2 feet below sea level is higher than a person swimming at 2 1/2 feet below the surface

• An elevation of -2 1/2 feet is lower than an elevation of -4 1/2 feet

• -2 1/2 degrees Fahrenheit is warmer than -4 1/2 degree Fahrenheit

Multiple Choice

Given the comparison, -9 < -2, which statement would describe the inequality?

• -9 degrees is warmer than -2 degrees

• A person at a depth of 9 feet is lower than a person at a depth of 2 feet

• 9 feet below sea level is higher than 2 feet below sea level

• A $9 debt is a lesser debt than a $2 debt

Multiple Choice

Given the comparison, 12.4 < 14.9, which statement best describes the inequality.

• An altitude of 12.4 meters is higher than an altitude of 14.9 meters

• A depth of 12.4 feet is lower than a depth of 14.9 feet

• An altitude of 12.4 meters is lower than an altitude of 14.9 meters

• A depth of 12.4 feet is higher than a depth of 14.9 feet.

Multiple Choice

Given the comparison -6 > -12, which statement best describes the inequality?

• 6 degrees is colder than 12 degrees

• 6 degrees is warmer than 12 degrees

• -6 is colder than -12

• -6 is warmer than -12

Multiple Choice

Given the comparison, -4.50 < 3.25, which statement would best describe the inequality?

• A debt of 4.50 is a smaller debt than a debt of 3.25

• A fish swimming 4.5 feet below sea level is lower than a bird flying at 3.25 feet above sea level

• A loss of 4.5 yards is a greater distance than a gain of 3.25 yards

• A decrease of 4.5 meters in altitude is a larger change than a 3.25 meter increase