THIS

IS

100 100 100 100 100 100

200 200 200 200 200 200

300 300 300 300 300 300

400 400 400 400 400 400

500 500 500 500 500 500

Direct Variation

Partial Variation

All about Slope!

Rate of Change

Graphing ???

What does the equation look like for a relation that varies

directly?

A 100

Answer: y = kx

A 100

Constant of Variation

Describe the graph of a relationship that varies

directly

A 200

Answer: It must be linear (a straight line) and pass

through the origin

A 200

0 Time (min)

Dis

tan

ce (

m)

In the following equation, what is the constant of variation?

C = 25p

A 300

Answer: 25

A 300

Describe a situation that would reflect the following

equation:

d = 80t

A 400

Answer: Answers will vary

One example: The distance that Sushani drives (in km) is

equal to 100 times the number of hours (time)

A 400

What is the constant of variation in the following situation (calculate and

describe the meaning):

The total cost of a giant bag of Halloween candy is $21. The cost of

the candy varies directly with its mass. The mass of the candy is 7kg.

A 500

Answer: The constant of variation is 3 (this represents

the cost per kg of candy)

A 500

Draw a sketch of the graph that would represent a partial

variation relationship

B 100

Answer:

B 100

0 Distance (km)

Co

st (

$)

What does the equation of a partial variation relationship

look like?

B 200

Answer:

y = mx + b

B 200

Give an equation that would represent the following partial

variation relationship:

B 300

A cell phone plan costs $25 per month for airtime plus 0.05 per text message sent

Answer:

C = 25 + 0.05t

B 300

Create a real-life scenario for the following equation:

C = 100 + 25p

B 400

Answers will vary

B 400

What is the initial value in the following partial variation

relationship:

B 500

x y

-2 2

-1 4

0 6

1 8

2 10

Answer: 6

B 500

What is the formula for calculating slope?

C 100

Answer: Slope = rise/run

C 100

With a slope of -4/5, what is the value of the run?

C 200

Answer: 5

C 200

With a slope of -3, what is the value of the rise?

C 300

Answer: -3

C 300

DAILY DOUBLE

C 400

DAILY DOUBLE

Place A Wager

If a line has a slope of -5/7, will the graph of that line lead

upward to the right or downward to the right?

C 400

Answer: Downward to the right (because it has a

negative slope)

C 400

A line is moving downward to the right. After locating two points on that line, we

learn that the horizontal distance between the points is

4 and the vertical distance between the points is -5.

What is the slope of this line?

C 500

Answer: -5/4

C 500

What is the rate of change of distance if a car can travel 120 km

in 60 mins?

D 100

Answer:

Rate of Change = change in distance

change in time

D 100

Dependent variable

Independent variable

= 2km/min

If the slope of a relationship is -5, what is the rate of

change?

D 200

Answer: Rate of change is -5 (units are not known)

D 200

If the average resting adult heart beats 600 times in 10 minutes, what is the rate of

change of heart beats?

D 300

D 300

Answer:

60 beats per minute

OR

60 beats/min

Remember to include the

units!

Today the price of an XBOX 360 is $320. Last year, the

price was $360. What is the average price decrease per

year?

D 400

D 400

Answer:

Rate of Change = change in price

change in time

Dependent variable

Independent variable

= 320-360/1

= -$40/year

Thus, the price DECREASED

by $40/year

Sonia is on the track team at school. She runs every day after school. One day she ran 8km in 48 minutes. What

is the rate of change of Sonia’s distance from her starting point?

D 500

Answer: Change in distance

Change in time

= 8-0/48-0

= 1/6 km per minute

D 500

If given the x-intercept and y-intercept of a line, how would

we graph that line?

E 100

Answer: Plot both the x-intercept and the y-intercept then join the two points with a ruler, extending the line to the edge of the grid. Then place arrows at the end of

each line.

E 100

If given one of the intercepts (either x or y) of a line, AND

the slope of that line, how would we graph the line?

E 200

Answer: Begin by plotting the point of the intercept, then use the

information from the slope (rise/run) to determine another point on that line. Plot another

point, then connect the two points with a ruler, extending the line to

the edge of the grid, including arrows on each end.

E 200

If given an intercept of (0,3) and a slope of -5, what is another point on the line that we

could use to draw the line?

E 300

x

y

Answer: There are many answers! One answer is (1,-2)

E 300

If given two intercepts with the following coordinates, will the graph of the line be increasing or decreasing?

(0,-4) and (3,0)

E 400

x

y

Answer: Increasing

E 400

True or false: We can graph a line using ANY of the

following methods:

Using any point and slope

Using any two points

Creating a table of values

E 500

Answer: TRUE!

E 500

True or false: A line with a slope of -3 will be steeper

than a line with a slope of 1.

F 100

Answer: TRUE! (When considering the steepness of a

line, always focus on the number, not the positive or negative sign in front of it) The larger the number, the

steeper the line.

F 100

True or false: A line that is decreasing (moving

downward to the right) will always have a negative slope.

F 200

Answer: TRUE!

F 200

Calculate the slope of the following line:

F 300

x

y

Answer: -2 (or -2/1)

F 300

Which line below (A or B) has a smaller slope?

F 400

x

yA

B

Answer: Line B has a smaller slope because the line is less

steep (more flat)

F 400

Locate Quadrant 3 on the Cartesian Grid below:

F 500

x

y

F 500

Answer is shown below:

Quadrant 1Quadrant 2

Quadrant 3 Quadrant 4

x

y

The Final Jeopardy Category is:

MFM2P0 Lesson Topics

Please record your wager.

Click on screen to begin

What are FOUR topics that we have studied so far this term?

Click on screen to continue

Answer: (Any four of the following are acceptable)

Review of plotting points Table of Values

Formula for slope (rise/run) Properties of slope

Graphing with x and y intercepts Equation of a Line (y = mx + b) Graphing with a point and slope

Parallel Lines Special Lines

Click on screen to continue

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