Double Number Lines for Problem Solving
USING A DOUBLE NUMBER LINE
An SRNA can sort three boxes of linens in two minutes.
If there are twelve boxes of linens, how long could we expect the SRNA to take to sort
the boxes?
12
?
Minutes
Boxes of linens
How do these quantities correspond?
USING A DOUBLE NUMBER LINE
An SRNA can sort three boxes of linens in two minutes.
If there are twelve boxes of linens, how long could we expect the SRNA to take to sort
the boxes?
0
0
12
8
Minutes
Boxes of linens
3
2
x4
x4
USING A DOUBLE NUMBER LINE
There are 24 residents at a long-term care facility that must be seated at 6 large round
tables. How many adults should be at each table if there must be the same number at
each table?
24
Residents
Tables
1
?
6
How do these quantities correspond?
USING A DOUBLE NUMBER LINE
There are 24 residents at a long-term care facility that must be seated at 6 large round
tables. How many adults should be at each table if there must be the same number at
each table?
24
Residents
Tables
1
4
6
÷ 6
÷ 6
USING A DOUBLE NUMBER LINE
Additionally, the nursing staff decided to seat all 24 residents for lunch based on the
types of restrictions in their diets. If four of the tables are to seat residents who have
diabetes, how many residents are at those four tables?
24
Residents
Tables
1
4
6
4
?
USING A DOUBLE NUMBER LINE
Additionally, the nursing staff decided to seat all 24 residents for lunch based on the
types of restrictions in their diets. If four of the tables are to seat residents who have
diabetes, how many residents are at those four tables?
24
Residents
Tables
1
4
6
4
16
X 4
X 4
USING A DOUBLE NUMBER LINE
An SRNA can visit 36 residents at a long-term care facility in 4 hours.
How many residents can this resident visit in 5 hours?
Hint: First think about how many residents the SRNA can visit in
one
hour.
?
5
4
36
Residents
Hours
1
?
USING A DOUBLE NUMBER LINE
An SRNA can visit 36 residents at a long-term care facility in 4 hours.
How many residents can this resident visit in 5 hours?
Hint: First think about how many residents the SRNA can visit in
one
hour.
45
5
4
36
Residents
Hours
1
9
USING A DOUBLE NUMBER LINE
An SRNA has to put a cleaning agent into a pail for use in sanitization. 70 mL is the maximum amount of chemical
that can go into the pail.
If the lead nurse says to use only 20% of the maximum allowed chemical to sanitize a specific surface, how many mL
should the SRNA measure out?
70
100%
20%
?
Amount of
liquid in mL
Percent Full
0%
0
USING A DOUBLE NUMBER LINE
An SRNA has to put a cleaning agent into a pail for use in sanitization. 70 mL is the maximum amount of chemical
that can go into the pail.
If the lead nurse says to use only 20% of the maximum allowed chemical to sanitize a specific surface, how many mL
should the SRNA measure out?
70
100%
20%
14
Amount of
liquid in mL
Percent Full
0%
0
USING A DOUBLE NUMBER LINE
Using the 20% benchmark, calculate the following percent levels of the liquid:
•
10%
•
40%
•
60%
•
80%
70
100%
20%
14
Amount of
liquid in mL
Percent Full
0%
0
?
?
?
80%
60%
40%
10%
?
Utilizing double number lines to solve mathematical problems involving sorting linens, seating residents, and determining visitation rates at a care facility. Each scenario is represented visually on a double number line, aiding in understanding the relationships between quantities and solving for unknowns.
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Presentation Transcript
USING A DOUBLE NUMBER LINE An SRNA can sort three boxes of linens in two minutes. If there are twelve boxes of linens, how long could we expect the SRNA to take to sort the boxes? ? Minutes Boxes of linens 12 How do these quantities correspond?
USING A DOUBLE NUMBER LINE An SRNA can sort three boxes of linens in two minutes. If there are twelve boxes of linens, how long could we expect the SRNA to take to sort the boxes? x4 2 0 8 Minutes Boxes of linens 12 3 0 x4
USING A DOUBLE NUMBER LINE There are 24 residents at a long-term care facility that must be seated at 6 large round tables. How many adults should be at each table if there must be the same number at each table? 24 ? Residents Tables 1 6 How do these quantities correspond?
USING A DOUBLE NUMBER LINE There are 24 residents at a long-term care facility that must be seated at 6 large round tables. How many adults should be at each table if there must be the same number at each table? 6 24 4 Residents Tables 1 6 6
USING A DOUBLE NUMBER LINE Additionally, the nursing staff decided to seat all 24 residents for lunch based on the types of restrictions in their diets. If four of the tables are to seat residents who have diabetes, how many residents are at those four tables? ? 4 24 Residents Tables 1 6 4
USING A DOUBLE NUMBER LINE Additionally, the nursing staff decided to seat all 24 residents for lunch based on the types of restrictions in their diets. If four of the tables are to seat residents who have diabetes, how many residents are at those four tables? X 4 16 4 24 Residents Tables 1 6 4 X 4
USING A DOUBLE NUMBER LINE An SRNA can visit 36 residents at a long-term care facility in 4 hours. How many residents can this resident visit in 5 hours? Hint: First think about how many residents the SRNA can visit in one hour. ? 36 ? Residents Hours 4 5 1
USING A DOUBLE NUMBER LINE An SRNA can visit 36 residents at a long-term care facility in 4 hours. How many residents can this resident visit in 5 hours? Hint: First think about how many residents the SRNA can visit in one hour. 36 45 9 Residents Hours 4 5 1
USING A DOUBLE NUMBER LINE An SRNA has to put a cleaning agent into a pail for use in sanitization. 70 mL is the maximum amount of chemical that can go into the pail. If the lead nurse says to use only 20% of the maximum allowed chemical to sanitize a specific surface, how many mL should the SRNA measure out? Amount of liquid in mL ? 0 70 Percent Full 100% 20% 0%
USING A DOUBLE NUMBER LINE An SRNA has to put a cleaning agent into a pail for use in sanitization. 70 mL is the maximum amount of chemical that can go into the pail. If the lead nurse says to use only 20% of the maximum allowed chemical to sanitize a specific surface, how many mL should the SRNA measure out? Amount of liquid in mL 14 0 70 Percent Full 100% 20% 0%
USING A DOUBLE NUMBER LINE Using the 20% benchmark, calculate the following percent levels of the liquid: 10% 40% 60% 80% ? Amount of liquid in mL ? 14 0 70 ? ? Percent Full 10% 100% 20% 0% 40% 60% 80%
