standard_description: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
problem_activity: Problem 1
Look at the title and image of the Newsweek article,
More Than Half of Medical Advice on 'Dr. Oz' Lacks Proof or Contradicts Best Available Science: Study
.
According to this article, a research team looked at 80 pieces of medical advice from
The Dr. Oz Show
and found no evidence to support 43 of these recommendations.
a.   Do you agree or disagree with the claim in the headline based on this information? Why or why not?
b.   Determine whether the following fractions are greater or less than
$$\frac12$$
.
$$\frac{5}{12}$$
$$\frac35$$
Problem 2
a.   Ishmael says that he knows
$$\frac{5}{12}$$
is less than
$$\frac35$$
because
$$\frac{5}{12}$$
is less than
$$\frac12 $$
and
$$\frac35$$
is more than
$$\frac12$$
, so
$$\frac{5}{12}$$
must be less than
$$\frac35$$
. Explain why Ishmael’s reasoning is correct using words or pictures.
b.   Use Ishmael’s strategy to compare the following pairs of fractions. Record your answer with
$$\lt$$
,
$$\gt$$
, or
$$=$$
.
$${{4\over10}}$$
and
$${{5\over8}}$$
$${{7\over12}}$$
and
$${{4\over9}}$$
$${{1\over3}}$$
and
$${{4\over7}}$$
Problem 3
a.   Now Joslyn is comparing
$$\frac46$$
and
$$\frac58$$
. She says that she knows
$$\frac46$$
is more than
$$\frac58$$
because
$$\frac46$$
is
$$\frac16$$
more than
$$\frac12$$
and
$$\frac58$$
is
$$\frac18$$
more than
$$\frac12$$
and
$$\frac16$$
is more than
$$\frac18$$
. Explain why Jocelyn’s reasoning is correct using words or pictures.
b.   Use any strategy to compare the following pairs of fractions. Record your answer with
$$\lt$$
,
$$\gt$$
, or
$$=$$
.
$$\frac{5}{12}$$
and
$${{4\over10}}$$
$${{3\over5}}$$
and
$${{5\over9}}$$
$${{1\over3}}$$
and
$${{3\over7}}$$


aligns: no