Proportional Relationships
What is the origin?
What is (0, 0)
This is a relationship that is a straight line, but doesn't have to go through the origin.
What is a linear relationship?
What is $20?
A flag started at a height of 5 feet and then raised at a rate of 2 feet/second. This is the slope/rate of change.
What is 2 feet/second?
A transformation in which a shape slides to a new position.
What is a translation?
In this scenario, which turtle would NOT be graphed as a proportional relationship?
What is Turtle 1?
The initial value in a linear relationship.
What is the vertical intercept?
A carnival charges $2 per ride and a $10 entry fee. This is the initial value.
What is $10?
The YMCA charges $45 per month plus a $50 joining fee. This is the slope/rate of change.
What is $45 per month?
What is a refelction?
This line represents a proportional relationships.
What is the blue line?
The the point where a linear relationship crosses the y-axis.
What is the vertical intercept?
On the graph, this is the initial value.
What is 8?
What is (0, 8)
A turtle gets a 5 yard head start and travels at a pace of 2 yards per minute. This is the slope/rate of change.
What is 2 yards per minute?
A transformation that turns a figure clockwise or counterclockwise.
What is a rotation.
This is the reason that "stacking cups" is not a proportional relationship.
What is the first cup adds more height than the rest of the cups.
The rate of change in a linear relationship is also called this.
What is the slope?
A graph has a line that passes through the y-intercept at 10 and has a slope of 5. This is the initial value.
What is 10?
The equation for the height of a flag is written as:
h = 8 + 4t. This is the rate at which the flag is being raised.
What is 4 feet/second?
A transformation that makes a shape bigger or smaller.
True or False:
Doubling the number of cups will double the height
What is False?
The equation for height of a flag is given as:
h = 16 + 2t, where h=height and t=time. The value 16 gives you this information.
What is the initial height of the flag?
The YMCA charges $45/month and a $50 joining fee. This is the initial value.
What is $50?
The equation for the height of a flag is written as:
h = 16 + 2t. This is the rate at which the flag is being raised.
What is 2 feet per second?
When figures have the same shape and same angle measures, but a different size, the figures are called this.
What is similar figures?