Transcript Document

Converting Measures
Lesson 5 (4th 6 Weeks)
TEKS 6.4A & 6.8D
Using a ratio (proportion) table or Tchart to represent relationships
between measures
1. Organize the data in a table/chart
Inches
Feet
12
24
1
2
36
3
48
4
x
y
2. Look for a relationship between the
measures.
(# of inches ÷ by 12 = # of feet)
3. Check the rule to determine whether it
satisfies all remaining pairs of numbers.
Inches
Process
Feet
12
24
12 ÷ 12 = 1
24 ÷ 12 = 2
1
2
36
36 ÷ 12 = 3
3
48
48 ÷ 12 = 4
x ÷ 12 = y
4
x
y
Inches
Process
Feet
12
12 ÷ 12 = 1
1
24
24 ÷ 12 = 2
2
36
36 ÷ 12 = 3
3
48
48 ÷ 12 = 4
x ÷ 12 = y
4
x
y
4. Write an equation or expression using
variables to represent the relationship.
Let x represent the number of inches and
y represent the number of feet.
Expression: x ÷ 12
Equations: x ÷ 12 = y or y = x ÷ 12
Using Proportions to Convert
Measures
x
EX: 12 pints = ______
quarts
1. Use your 6th grade mathematics
chart and write the relationship
between the measures as a ratio in
fraction form.
1 quart = 2 pints
quart 1
pint 2
2. Set up a proportion with the known
measurement.
quart 1 x
pint 2 12
3. Solve for the unknown.
quart 1
pint 2
•6=
x6
12
•6=
EX: 233 milliliters = _______ liter
1. Use your 6th grade mathematics
chart and write the relationship
between the measure.
1 liter = 1000 milliliters
2. Let’s write what we know right
above what we just wrote.
? liter = 233 milliliters
1 liter = 1000 milliliters
3. Notice how the milliliters forms a
fraction. We can write the fraction as a
decimal.
? liter = 233 milliliters
1 liter = 1000 milliliters
0.233 liters