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IC: Ch. 5 – Day 2HW: Charts: Proportional or Not?
Materials
1. Write the IC and HW in your planner.
Thursday, 11/21/19
• Pencil & grading pen• Marker, slate, and eraser• Planner• p.167 HW• Yogurt task HW
32
9÷ 4
1
2
Solve.
29
9÷9
2
29
9•2
9=
58
81= 0.7160493= 0.72
213
4meters in 2
1
2hours
Find the unit rate.
87
4÷5
2
87
4•2
5=
174
20= 8.7
= 8.7 meters per hour
213
4÷ 2
1
2
=87
10= 8
7
10
meters
hours
Objective: TSWBAT identify proportional relationships in tables.
Definitions:
Proportional = having the same unit rate
Unit rate = when you find how much 1 thing
is worth
# of slices Cost ($) Rate Unit Rate
10 15
3 4.50
5 7.50
# ounces Cost ($) Rate Unit Rate
12.5 5
8 3.20
10 4
Time (minutes) Distance (km) Rate Unit Rate
10 2
25 5
15 3
20 4
Ex. 2) The table below gives how far John jogged for different numbers of minutes. Do the numbers in the table represent a proportional relationship and how do you know? Justify your answer in complete sentences.
Time
(minutes)
Distance
(km)
10 2
15 3
20 4
25 5
min
km
2
10
3
15
4
20
5
25
1
5=
5
5
0.2
1=
0.2 km per minute
1
5=
1
5=
1
5=
y
x
Ex. 2) The table below gives how far John jogged for different numbers of minutes. Do the numbers in the table represent a proportional relationship and how do you know? Justify your answer in complete sentences.
Time
(minutes)
Distance
(km)
10 2
15 3
20 4
25 5
(0.2) = (0.2) = (0.2) =
(0.2) =
0.2 km per minute
How far could he go in 17 minutes?17(0.2) = 3.4 km
Equation: ___________________y = 0.2xx(0.2) = y
This represents a proportional
relationship because all of the ratios
are equivalent (1/5) and all levels of
the table have the same unit rate.
0.2x = y
Ex. 3) Jessie has a bakery. The table below shows the amount of flour used for the number of cakes baked. Does the table represent a proportional relationship? Explain and justify your answer in complete sentences.
# of
cakes
Cups of
flour used
4 6
6 9
8 12
10 18
#cups
cakes
6
4
9
6
12
8
18
10
3
2=
2
2
=
1.5
1
0.67 cups per cake
3
2=
3
2=
9
5=
5
5=
1.8
1
1.8 cups per cake
y
x
# of
cakes
Cups of
flour used
4 6
6 9
8 12
10 18
cups
cakes
NOThis also means that
equation be written.
This DOES NOT represent a
proportional relationship because
the ratios are not equivalent. The
last row of the table has a different
unit rate.
Ex. 3) Jessie has a bakery. The table below shows the amount of flour used for the number of cakes baked. Does the table represent a proportional relationship? Explain and justify your answer in complete sentences.
A student notices in the table below that as the x-value
increases by 3, the y-value increases by 4. Because there
is a pattern, the student has determined that x is
proportional to y. Do you agree with the student’s claim?
Why or why not?
y
x
1
45
7
The value of the ratios aren’t equivalent (1/4 ≠ 5/7).
1
25.0=
1
7142.0=
There are different unit rates.
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