standard_description: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
problem_activity: Problem 1
Look at your yardstick and 12-inch ruler again.
Ms. Cole says that 1 foot is equivalent to
$$\frac{1}{3}$$
yard. Do you agree or disagree? Explain.
Using similar reasoning, determine what fraction of a foot an inch is.
Use your reasoning from Part (a) to solve the following conversions.
$$\frac{2}{3}$$
yard = ______ feet
$$2\frac{1}{3}$$
yards = ______ feet
$$\frac{5}{12}$$
foot = ______ inches
$$3\frac{1}{4}$$
feet = ______ inches
$$4\frac{1}{2}$$
yards = ______ inches
Problem 2
a.  Show or explain how you know
$${{1\over16}}$$
pound =
$$1$$
ounce.
b.  Show or explain how you know
$${1\over4}$$
pound =
$$4$$
ounces.
c.  Show or explain how you know
$$4{3\over8}$$
pounds =
$${67}$$
ounces.
Problem 3
Solve.
a.
$${{1\over4}}$$
gallon = ________ quart
b.
$${{3\over2}}$$
quarts = ________ pints
c.
$${4{1\over2}}$$
pints = ________ cups
d.
$${7{3\over4}}$$
cups = ________ fluid ounces
Problem 4
Solve.
a.
$${{1\over24}}$$
day = ________ hour
b.
$${{13\over60}}$$
hour = ________ minutes
c.
$${2{1\over4}}$$
minutes = ________ seconds
d.
$${3{1\over2}}$$
days = ________ minutes


aligns: no