6th Grade Math Review

Front

What is a coordinate in a Cartesian plane?

Back

A coordinate is a pair of numbers (x, y) that define a point's position on a Cartesian plane, where 'x' is the horizontal position and 'y' is the vertical position.

Front

How do you find the opposite of a number?

Back

The opposite of a number is found by changing its sign. For example, the opposite of -3.2 is 3.2.

Front

What is the formula to calculate time taken for a certain number of laps if you know laps per time unit?

Back

Time = (Total Laps / Laps per Time Unit) * Time Unit. For example, if Jose swims 3 laps every 2 minutes, to swim 27 laps, it takes 18 minutes.

Front

What does a negative integer represent in real-world contexts?

Back

A negative integer can represent values below a reference point, such as depths below sea level or temperatures below zero.

Front

What is the significance of the origin in a coordinate system?

Back

The origin is the point (0, 0) in a coordinate system where the x-axis and y-axis intersect, serving as a reference point for all other coordinates.

Front

How do you interpret the coordinates (4, -6)?

Back

The coordinate (4, -6) means the point is located 4 units to the right of the origin and 6 units down.

Front

What is the relationship between laps and time in a swimming scenario?

Back

The relationship is linear; as the number of laps increases, the time taken increases proportionally based on the rate of laps per time unit.

Front

What is a Cartesian plane?

Back

A Cartesian plane is a two-dimensional surface defined by a horizontal x-axis and a vertical y-axis, used to plot points, lines, and curves.

Front

How do you represent a number below sea level using integers?

Back

Numbers below sea level are represented as negative integers. For example, -1800 ft indicates 1800 feet below sea level.

Front

What is the process to solve for the total depth of a submarine that dives deeper?

Back

To find the total depth, add the initial depth (negative integer) to the additional depth (also a negative integer). For example, -1800 ft + -1500 ft = -3300 ft.