5 Minute Check
Complete in your notebook.
1
1
1.
5
6
3 x3
2.
3
5
5
12
3 x5
5 Minute Check
Complete in your notebook.
1
1
1.
5
6
3 x3
5 Minute Check
Complete in your notebook.
1
1
1.
5
6
3 x3
16
5
x
19
6
=
304
30
4
30
=10 =10
2
15
5 Minute Check
Complete in your notebook.
3
5
2.
5
12
3 x5
5 Minute Check
Complete in your notebook.
3
5
2.
5
12
3 x5
18
5
x
65
12
=
1170
60
30
60
1
2
=19 =19
Friday, Oct 25
Lesson 4.5
Convert Measurement Units
Convert Measurement Units
Objective: To understand how to change
units of measurement in the customary
system
Convert Measurement Units
At the end of this lesson you should be able
to answer the following question.
How do you use ratios to convert units of
measurement?
Convert Measurement Units
A relationship within the same type of unit of
measurement can be written as a ratio.
Example
1 yard = 3 feet can be written as
1 yard
3 feet
Convert Measurement Units
These ratios can be used to set up a
proportion to solve measurement problems.
Example
1 yard
6 yards
3 feet
? feet
=
Convert Measurement Units
If you do not know these relationships, use the
chart on page 290. This must be memorized
by Monday for the quiz.
Convert Measurement Units
Convert 20 feet to inches.
Step 1 – Identify the direct relationship
between the units in the problem.
1 foot
12 inches
12 inches or 1 foot
Convert Measurement Units
Convert 20 feet to inches.
Step 2 – Create a ratio from the numbers in
the original problem.
20 feet
? inches
? inches or 20 feet
Convert Measurement Units
Convert 20 feet to inches.
Step 3 – Create a proportion with the two
ratios, making sure the same units are in the
numerator on each ratio.
20 feet
1 foot
? inches
12 inches
=
Convert Measurement Units
Convert 20 feet to inches.
Step 4 – Multiply the diagonal numbers, then
divide by the remaining number. Then add
the correct unit.
20 feet
1 foot
? inches
12 inches
20 x 12 = 240
=
Convert Measurement Units
Convert 20 feet to inches.
Step 4 – Multiply the diagonal numbers, then
divide by the remaining number. Then add
the correct unit.
20 feet
1 foot
? inches
12 inches
20 x 12 = 240 ÷ 1 = 240 inches
=
Convert Measurement Units
36 yards = ? feet
Step 1 ?
Convert Measurement Units
36 yards = ? feet
Step 1 ?
1 yard
3 feet
Step 2 ?
Convert Measurement Units
36 yards = ? feet
Step 2 ?
1 yard
3 feet
Step 3 ?
36 yards
? feet
Convert Measurement Units
36 yards = ? feet
Step 3 ?
1 yard
3 feet
Step 4 ?
=
36 yards
? feet
Convert Measurement Units
36 yards = ? feet
Step 4 ?
1 yard
3 feet
=
36 yards
? feet
3 x 36 = 108 ÷ 1 = 108 feet
Convert Measurement Units
¾ ton = ? pounds
Do this on your own.
Convert Measurement Units
¾ ton = ? pounds
1 ton
2000 pounds
2000
1
3
4
=
6000
4
¾ ton
? pounds
x =
=1500 ÷1 =
1500 pounds
Convert Measurement Units
Marco mixes ¼ cup of fertilizer with soil before planting
each bulb. How many fluid ounces of fertilizer does he
use for each bulb?
Do this on your own.
Convert Measurement Units
Marco mixes ¼ cup of fertilizer with soil before planting
each bulb. How many fluid ounces of fertilizer does he
use for each bulb?
1 cup
8 ounces
8
1
1
4
x =
8
4
=
¼ cup
? ounces
=2 ÷1 = 2 ounces
Convert Measurement Units
Convert 15 quarts to gallons.
Do this on your own.
Convert Measurement Units
Convert 15 quarts to gallons.
4 quart
1 gallon
=
15 quarts
? Gallon
34
1 x 15 = 15 ÷ 4 = 4 ) 15.0
-12
3
3
Convert Measurement Units
100 ounces = ? pounds.
Do this on your own.
Convert Measurement Units
100 ounces = ? pounds.
16 ounces
1 pound
=
100 ounces
? Pound
6 =6
1 x 100 = 100 ÷ 16 =16 ) 100.00
-96
4
4
16
1
4
Convert Measurement Units
Manual and his friends spent his birthday at the game
center. He spent 4/7 of his money on go karts and now
has $15 left. How much money did he spend on go karts?
We can draw a bar diagram to solve this problem.
Step 1 – Create a bar diagram and divide into sections
matching the denominator of the fraction.
Convert Measurement Units
Manual and his friends spent his birthday at the game
center. He spent 4/7 of his money on go karts and now
has $15 left. How much money did he spend on go karts?
Step 2 – Divide the bar diagram by the numerator in the
fraction.
Amount spent on
Amount not spent
go karts
on go karts ($15)
Convert Measurement Units
Manual and his friends spent his birthday at the game
center. He spent 4/7 of his money on go karts and now
has $15 left. How much money did he spend on go karts?
Step 3 – Determine how much each section is worth.
5
Amount spent on
Amount not spent
go karts
on go karts ($15)
5
5
5
5
5
5
Convert Measurement Units
Manual and his friends spent his birthday at the game
center. He spent 4/7 of his money on go karts and now
has $15 left. How much money did he spend on go karts?
Step 4 – Determine the unknown amount .
Refer to page 297 for additional information on “Draw a
Diagram” instructions.
5
Amount spent on
Amount not spent
go karts
on go karts ($15)
5
5
5
5
5
5
Convert Measurement Units
How do you use ratios to convert units of
measurement?
Convert Measurement Units.
Complete the Mid-Chapter Check on page 300. If you do
not complete today, please complete by Monday.
Agenda Notes
Homework –
No Homework
Mid Chapter 4 Quiz –Monday, Oct 28