few_shots: 
Example:
Concept/skill: 
Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

Problem/activity:
Find the general solution for:
$${\mathrm{cos}\left({\pi\over2}+x\right)=\mathrm{tan}{\pi\over4}}$$


Answer: 
Yes. An initial step when solving for x in this problem requires the use of the addition formula for cosine on the left side of the equation.

Now, assess whether the following problem or activity is 'aligned' with the given Common Core standard in Mathematics.

shot_info: fl_problem_001894_pos_0

HS_0
standard_description: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.
problem_activity: Problem 1
For the class party, Robin and Shawn each made a loaf of banana bread. Their loaf pans were exactly the same size. Robin sliced her banana bread into 6 equal slices. Shawn also sliced his into 6 equal slices. After the party, Robin had more slices of banana bread left to take home than Shawn did. What fraction of the whole loaf pan might each person take home?
Problem 2
a.   Choose each statement that is true.
i.
$$\frac{3}{4}$$
is greater than
$$\frac{5}{4}$$
.
ii.
$$\frac{5}{4}$$
is greater than
$$\frac{3}{4}$$
.
iii.
$$\frac{3}{4}>\frac{5}{4}.$$
iv.
$$\frac{3}{4}<\frac{5}{4}.$$
v.
$$\frac{5}{4}>\frac{3}{4}.$$
vi.
$$\frac{5}{4}<\frac{3}{4}.$$
vii.  None of these.
b.
$$\frac{3}{4}$$
and
$$\frac{5}{4}$$
are shown on the number line. Which is correct?
i.
[IMG]
ii.
[IMG]
iii. Neither of these.


aligns: yes