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


Concept/skill: 
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

Answer: 
No. This problem does not directly teach how side ratios in right triangles lead to definitions of trigonometric ratios. Instead, it involves solving a trigonometric function.

Now, does the problem or activity shown below enable students to learn the full intent of the following concept or skill?

shot_info: fl_problem_001894_neg_0

HS_0
standard_description: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
problem_activity: Problem 1
Sarita has a fish tank in the shape of a rectangular prism. The bottom of the fish tank measures
$${10}$$
inches by
$$8$$
inches. Sarita wants to add some sand to cover the bottom of the tank, and she uses the formula
$${ V=l × w × h}$$
to determine the volume of sand she needs.
a.   If the height of the sand measures
$$2$$
inches, what is the volume of sand needed?
b.   If the height of the sand measures
$${3.5}$$
inches, what is the volume of sand needed?
c.   Sarita cannot decide how high she wants the sand to be in the tank. What expression can she use to represent the volume of sand needed for
any
height of sand?
Problem 2
In each example, write an expression to represent the quantity.
a.   Thomas is
$$x$$
years old.
His sister is
$$5$$
years older. How old is his sister?
His dog is
$$3$$
years younger. How old is his dog?
His cousin is
$${3\over4}$$
his age. How old is his cousin?
His friend is
$$y$$
years younger. How old is his friend?
b.   Reina has
$$5$$
more quarters than dimes.
She has
$$8$$
dimes. How many quarters does she have?
She has
$$15$$
quarters. How many dimes does she have?
She has
$$d$$
dimes. How many quarters does she have?
She has
$$q$$
quarters. How many dimes does she have?
Problem 3
a.   A numeric expression like
$${5+(8+2)^2}$$
has one and only one value. What is it?
b.   Consider the expression
$${ {5+(x+2)^2}}$$
. What are some values it can have? Make sure you organize your work so anyone can tell which value for the expression goes with which
$$x$$
value.
c.   How many different values can an algebraic expression like
$${5+(x+2)^2}$$
have?


aligns: no