few_shots: 
Example 1:
Problem/activity:
Find the general solution for:
$${\mathrm{cos}\left({\pi\over2}+x\right)=\mathrm{tan}{\pi\over4}}$$


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

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.

Example 2:
Problem/activity:
Task
Solve the quadratic equation
$$ x^2 = (2x - 9)^2 $$
using as many different methods as possible.


Concept/skill: 
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Answer: 
No. This task does not involve an equation in two variables. There is only one variable, x.

Example 3:
Problem/activity:
Task
Suppose $A$ is an angle with vertex $P$, as pictured below:
[IMG]
Draw a circle with center $P$ and with  radius $r \gt 0$.  Explain why the circle
meets each ray of angle $A$ in a single point.  Label these points $Q$ and $R$ respectively.
Draw circles with centers $Q$ and $R$ respectively and radius $r$.  These circles meet at $P$ and a second point to be labelled $B$.
Show that ray $\overrightarrow{PB}$  bisects angle $P$.


Concept/skill: 
Construct a tangent line from a point outside a given circle to the circle.

Answer: 
No. This task does not involve drawing lines that are tangent to circles. The only line that may be drawn is the ray between points P and B.

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_pos_0

HS_0

im_task_000870_neg_0

HS_1

im_task_001160_neg_0

HS_2
standard_description: Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.
problem_activity: Narrative
The purpose of this activity is to introduce stage 2 of the Connecting Cubes center. Students use connecting cubes to make objects pictured on cards. As they work, observe whether students match the connecting cubes to the image or count the number of connecting cubes in the image to create their own object (MP6).
Required Materials
Materials to Gather
Connecting cubes
Materials to Copy
Connecting Cubes Stage 2 Cards
Required Preparation
Create a set of cards from the blackline master for each group of 2.
Launch
Groups of 2
“We are going to look at a new center that you can choose during center choice time.”
Display the student book.
“How could you use connecting cubes with this picture?” (We can make things with our connecting cubes that look like the picture in the book.)
30 seconds: quiet think time
1 minute: partner discussion
Share responses.
Activity
Give each group of students connecting cubes and a set of cards.
Display the student page.
“Use your connecting cubes to build this object.”
3 minutes: independent work time
“Choose another card and use your connecting cubes to build the object.”
3 minutes: independent work time
Student Facing
[IMG]
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Activity Synthesis
“Show your partner what you made and describe it to them.”
2 minutes: partner discussion
Invite several students to share what they heard their partner say.


aligns: yes