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.