Measuring Rate of Change of Ramps Activity
Name:_
Date:_
We are going to measure the rate of change of several ramps around the school.
1.
Compare the three ramps behind the school by the portablesRamp 1: By back door
Ramp 2: By portable 4/5
Ramp 3: By SS

Interpreting Graphs Introduction
Name:_
Date:_
The trend of a line or curve and the steepness of a line or curve can help you
understand what a graph is showing.
1. Which graph below is telling which story?
a. the height of a person over time
b. the heigh

Investigating Relationships - BALL BOUNCE ACTIVITY
Group Names: _ Date:_
Purpose
To determine the type of relationship between the drop height of a ball and its rebound height.
Hypothesis
I think that as the drop height increases, the rebound height will

Linear and Non- Linear Relations Investigation
Name:_
Date:_
1. Two students are working on an investigation of Linear Relations involving the
pattern below.
a. Sketch the next 3 figures in the pattern. (2 marks)
Figure 1
Figure 2
Figure 5
Figure 3
Figure

Linear Relations and First Differences
Name:_
Date:_
1.
Explain how you know.
2. Which set of data is a linear relation? Explain how you know.
a)
b)
Length (cm)
Volume (cm3)
1
1
2
8
3
27
4
64
Length (m)
Cost ($)
10
4.50
20
7.50
30
10.50
40
13.50
2.
Jane i

Rate of Change Note
Name:_
Date:_
The graph below shows how the distance changes over time during a trip. We can use
the graph to find the rate of change or speed of the car during the trip.
rate of change =
rise = the VERTICAL distance between points
run

Graphing Relations Review
Name:_
Date:_
1.
2.
b.
What time are the lights shut off in the 2nd week? _
c.
Lights shut off before 6:30 a.m. during which week? _
3.
4.
5.
6.
7.
_
8. a.
b.
Time
(s)
Height
(m)
Which graph (s) would have the following table of

Walk This Way Investigation
Name:_
1. Student walks away from home at a steady rate.
2. Student walks towards home at a steady rate.
3. Student walks away from home at a steady rate, then STOPS.
Date:_
4. Student walks away from home at a steady rate, the

Drawing Scatter Plots
Name:_
Date:_
Example
The following table shows the winning times in seconds for the 800-m race at the
Olympic Summer Games from 1960 to 1988.
Year
1960
1964
1968
1972
1976
1980
1984
1988
Mens
Time (s)
106.3
105.1
104.3
104.9
103.5
1

Rate of Change
Name:_
Date:_
1. Determine each rate of change.
a.
b.
c.
Careful with the
units for Nancys
skate.
2. Rate of change can refer to rates other than speed. Find the rate of change in the
situation below. What does the rate of change represent?

Curve of Best Fit
Name:_
1.
Date:_
Draw a curve of best fit.
2. The money a person pays for a life insurance policy is called a premium. The
premium depends on many factors, including how much insurance you want and
your age. The monthly premiums one comp

Drawing Scatter Plots
Name:_
Date:_
The table below shows the world record times in seconds for womens 500 m speed
skating from 1983 to 2001.
Year
Time
(s)
a.
1983
1986
1987
1988
1990
1994
1995
1997
2001
39.7
39.5
39.4
39.1
39.3
39.0
38.7
37.7
37.4
Constr

TEACHERCOPY
Rectangle
Square
w
s
Perimeter = 2L + 2w
Area = Length x Width
Perimeter = 4s
Area = s2
Parallelogram
Triangle
c
a
b
c
b
P = 2b + 2c
Perimeter = a + b + c
A = bh
Area = b x h
Circle
Trapezoid
c
C = d or C = 2r
d
P=a+b+c
+d
A = r2
A = (a + b) h

Graphing Relations Quiz
Name:_
/28 marks
Date:_
a) What does the scatter plot show? (1 mark)
_
_
b) How many points were scored by the boy who
played 12 minutes? _ (1 mark)
How many boys scored 15 or fewer points?
_ (1 mark)
Circle these points. (1 mark)