Moving Straight Ahead
Investigation 1.1 Walking Rates
Learning Target: I can write an equation that represents
the relationship between distance walked and time.
Homework:
1) Complete pg. 3 for MSA 1.1
2) Correct online with the Zaption Review video.
Warm Up in packet: (Hint: Set up a proportion)
a) Anaya walks 10 meters in 15 seconds. What is
her walking rate in meters per second?
b) Peter walks 40 meters in 1 minute. What is his
walking rate in meters per second?
MSA 1.1: Walking Marathons – Finding and Using Rates
Warm Up: (Hint: Set up a proportion)
a) Anaya walks 10 meters in 15 seconds. What is
her walking rate in meters per second?
10 m.
=
15 sec.
X m.
1 sec.
=
a) Peter walks 40 meters in 1 minute. What is his
walking rate in meters per second?
40 m.
1 min.
=
X m.
1 sec.
=
What is a linear relationship?
If she walks 30 meters in 4 seconds.
What is her walking rate in meters per second?
30 m.
4 sec.
=
X m.
1 sec.
=
Alex walk 1.25 meters per second.
Alex walks 10 meters in 8 seconds.
What is Alex’s walking rate in meters per second?
10 meters
8 seconds
1.2
meters
X meters
1 seconds
Alex walks 1.2 meters per second.
How long would it take Alex to walk 500 meters?
distance
time = distance ÷ walking rate
time =
walking rate
t = 500 ÷ 1.2
500
t = 416.7 seconds
time =
1.2
How far would him walk in 30 seconds?
x
1.2
30
36.0
distance = walking rate x time
d = 1.2 x 30 sec.
d = 36 meters
Alex walks 1.2 meters per second.
How far would him walk in 10 seconds?
x
1.2
10
12.0
distance = walking rate x time
d = 1.2 x 10 sec.
d = 12 meters
Example:
Allen walks 1.2 meters per second.
How far would Alex walk in 1 hour?
distance = walking rate x time
d = 1.2 x 3600 sec.
d = 4,320 meters
Write an equation to represent the
distance d in meters that Alex could
walk in t seconds if he maintained this
pace.
the walking rate is in meters per
second, so we must convert the
time from 1 hour into seconds
1 hour = 60 min
60 sec = 3600 sec
1 min
60 min
d = 1.2t
1.2
What is the constant of proportionality?
Use the equation to predict
how far he would him walk in 45 seconds?
x
1.2
45
54.0
d = 1.2t
d = 1.2 (45)
54 = 1.2 (45)
54 meters
A. What is your walking rate in meters per second?
Let’s find out!
A. What is your walking rate in meters per second?
distance
time =
walking rate
B. Assume you continue to walk at this constant rate.
1. How long would it take you to walk 500 meters?
2. How far could you walk in 30 seconds? In 10
minutes? In 1 hour?
3. Describe in words the distance in meters you could
walk in a given number of seconds.
4. Write an equation that represents the distance d in
meters that you could walk in t seconds if you maintain
this pace.
5. Use the equation to predict the distance you would
walk in 45 seconds.
Did I Reach My Learning Target?
I can write an equation that represents
the relationship between distance walked and time.
Homework:
1) Complete pg. 3 for MSA 1.1
2) Correct online with the Zaption Review
video.
MSA Exit Ticket #1:
Julianne walks 1.5 meters per second.
1.How long would it take her to walk 300 meters?
2.How far would Julianne walk in 45 seconds?
3.Write an equation to represent the distance d in
meters that Julianne could walk in t seconds if she
maintained this pace.
Challenge:
How far would Julianne walk in 1⅔ hours?