few_shots: 
Example:
Problem/activity:
You’re mixing ingredients for cookies. The recipe says to combine 6 tablespoons, or ¾ stick, of butter with 1 cup of sugar. You accidentally mix in a whole stick of butter (8 tablespoons) with the cup of sugar. How can you fix this?


Concept/skill: 
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

Answer: 
Yes. This problem solves a real-world problem involving mixing ingredients for cookies. A student doing this problem would need to reason about equivalent ratios of butter amounts to sugar amounts.

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

shot_info: fl_problem_000972_pos_0

6
standard_description: Write and evaluate numerical expressions involving whole-number exponents.
problem_activity: Hummingbird feeders can be filled with a simple sugar water mixture. Two different recipes are shown below.
|                  |   Water (cups)   | Sugar (cups) | $$2$$ | $$\frac{1}{2}$$ | $$4$$ | $$1$$ | $$16$$ | $$4$$ | $$28$$ | $$7$$ | $$32$$ | $$8$$ |   | Water (cups) | Sugar (cups) | $$2\frac{2}{3}$$ | $$1$$ | $$4$$ | $$1\frac{1}{2}$$ | $$8$$ | $$3$$ | $$24$$ | $$9$$ | $$32$$ | $$12$$ |
|------------------|------------------|--------------|-------|-----------------|-------|-------|--------|-------|--------|-------|--------|-------|---|--------------|--------------|------------------|-------|-------|------------------|-------|-------|--------|-------|--------|--------|
|   Water (cups)   |   Sugar (cups)   |              |       |                 |       |       |        |       |        |       |        |       |   |              |              |                  |       |       |                  |       |       |        |       |        |        |
|      $$2$$       | $$\frac{1}{2}$$  |              |       |                 |       |       |        |       |        |       |        |       |   |              |              |                  |       |       |                  |       |       |        |       |        |        |
|      $$4$$       |      $$1$$       |              |       |                 |       |       |        |       |        |       |        |       |   |              |              |                  |       |       |                  |       |       |        |       |        |        |
|      $$16$$      |      $$4$$       |              |       |                 |       |       |        |       |        |       |        |       |   |              |              |                  |       |       |                  |       |       |        |       |        |        |
|      $$28$$      |      $$7$$       |              |       |                 |       |       |        |       |        |       |        |       |   |              |              |                  |       |       |                  |       |       |        |       |        |        |
|      $$32$$      |      $$8$$       |              |       |                 |       |       |        |       |        |       |        |       |   |              |              |                  |       |       |                  |       |       |        |       |        |        |
|   Water (cups)   |   Sugar (cups)   |              |       |                 |       |       |        |       |        |       |        |       |   |              |              |                  |       |       |                  |       |       |        |       |        |        |
| $$2\frac{2}{3}$$ |      $$1$$       |              |       |                 |       |       |        |       |        |       |        |       |   |              |              |                  |       |       |                  |       |       |        |       |        |        |
|      $$4$$       | $$1\frac{1}{2}$$ |              |       |                 |       |       |        |       |        |       |        |       |   |              |              |                  |       |       |                  |       |       |        |       |        |        |
|      $$8$$       |      $$3$$       |              |       |                 |       |       |        |       |        |       |        |       |   |              |              |                  |       |       |                  |       |       |        |       |        |        |
|      $$24$$      |      $$9$$       |              |       |                 |       |       |        |       |        |       |        |       |   |              |              |                  |       |       |                  |       |       |        |       |        |        |
|      $$32$$      |      $$12$$      |              |       |                 |       |       |        |       |        |       |        |       |   |              |              |                  |       |       |                  |       |       |        |       |        |        |
Compare the two different recipes. Which recipe is more sugary? Justify your response.


aligns: no