M2 T1 L2 - Steepness of a line

M2 T1 L2 - Steepness of a line

Multiple Select

What ratio(s) represents the relationship between the height and the base of this triangle?

• 
  

  $\frac{10}{10}$

• 1

• $\frac{1}{1}$

• 10:10

Multiple Select

What ratio(s) represents the relationship between the height and the base of this triangle?

• 
  

   $\frac{15}{4}$ 

• 4:15

•  $\frac{4}{15}$ 

• 15:4

Multiple Select

What ratio(s) represents the relationship between the height and the base of this triangle?

• 
  

   $\frac{15}{15}$ 

• 15:15

•  $\frac{1}{15}$ 

• 1

Multiple Select

What ratio(s) represents the relationship between the height and the base of this triangle?

• 
  

   $\frac{12}{3}$ 

• 4

•  $\frac{3}{12}$ 

• 12:3

• 3:12

Multiple Choice

What is the unit rate that represents the relationship between the height and the base of this triangle?

• 
  

  $\frac{10}{10}$

• 1

• $\frac{1}{1}$

• 10:10

Multiple Choice

What is the unit rate that represents the relationship between the height and the base of this triangle.

• 
  

   $\frac{15}{4}$ 

• 4:15

•  $\frac{4}{15}$ 

• 3.75

Multiple Choice

What is the unit rate that represents the relationship between the height and the base of this triangle.

• 
  

   $\frac{15}{15}$ 

• 15:15

•  $\frac{1}{15}$ 

• 1

Multiple Choice

What ratio(s) represents the relationship between the height and the base of this triangle?

• 
  

   $\frac{12}{3}$ 

• 4

•  $\frac{3}{12}$ 

• 12:3

• 3:12

Multiple Choice

Which figure has the largest (steepest) unit rate?

• Figure A

• Figure B

• Figure C

• Figure D

Multiple Choice

On Monday, Jack and Jill walked from their home up a hill to get to the bus stop. They walked 4 yards every 3 seconds.

Write an equation to represent the distance, d, Jack and Jill walked over time, t.

• $d\ =\frac{4}{3}t$

• $d\ =\frac{3}{4}t$

• $t=\frac{4}{3}d$

• $t=\frac{3}{4}d$

Multiple Choice

On Monday, Jack and Jill walked from their home up a hill to get to the bus stop. They walked 4 yards every 3 seconds.

Does this situation represent a proportional relationship? If so, identify the constant of proportionality.

• yes,  $\frac{4}{3}$  

• no

• yes,  $\frac{3}{4}$  

• yes,   $\frac{d}{t}$  
  

Multiple Choice

On Monday, Jack and Jill walked from their home up a hill to get to the bus stop. They walked 4 yards every 3 seconds.

Explain what the constant of proportionality means in terms of this situation.

• Jack and Jill walked uphill  $\frac{4}{3}$   yards per second  

• Jack and Jill walked uphill  $\frac{3}{4}$   yards per second  

Multiple Select

On Monday, Jack and Jill walked from their home up a hill to get to the bus stop. They walked 4 yards every 3 seconds.

Identify the independent and dependent variables.

• The independent quantity is the time in seconds

• The independent quantity is the distance in yards.

• the dependent quantity is the distance in yards.

• the dependent quantity is the time in seconds

Open Ended

Analyze the graph of Jack and Jill walking home from the bus stop.

What is different about the graph?

Multiple Choice

Analyze the graph of Jack and Jill walking home from the bus stop.

Does the graph represent a proportional relationship?

• Yes, it is a straight line

• No, it doesn't go through the origin

• Yes, there is a relationship between distance an time

Multiple Choice

Analyze the graph of Jack and Jill walking home from the bus stop.

Is the slope of the line positive or negative? Explain how you know.

• negative, because it is decreasing

• negative, because it is increasing

• positive, because it is increasing

• positive, because it is decreasing