few_shots: 
Example:
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.

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: Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), ...
problem_activity: Narrative
The purpose of this activity is for students to answer questions about the data represented by their picture graphs and bar graphs. Students switch workbooks with a new partner, which is an opportunity for students to view each other’s work and see different representations of data. While students are answering questions based on different graphs, identify the questions that are harder for students to answer. These questions can be discussed in the lesson synthesis. In upcoming lessons, students will have more opportunities to work with questions that require comparing categories.
Representation: Internalize Comprehension.
Synthesis: Invite students to identify which details were important or most useful to pay attention to. Display the sentence frame, “The next time I answer questions about a graph, I will . . . .“
Supports accessibility for: Conceptual Processing, Memory
Required Materials
Materials to Gather
Materials from a previous lesson
Required Preparation
Each student needs the picture graph and bar graph they created in the previous lesson.
Launch
Groups of 2: different partner than previous activity
“Tear out the page in your books labeled ‘Answering Questions Using Graphs.’”
Activity
“Now you are going to answer questions a different partner has written about their graphs.”
“Write your name and your partner’s name on the top of the page.”
“Trade graphs and questions with your partner. Answer each of the questions your partner wrote.”
6 minutes: independent work time
“Discuss the questions and answers with your partner to see if you agree.”
6 minutes: partner discussion
Monitor for students who mention the graph features like the title or labels when answering, "How did you know where to find the answer to each question?"
Student Facing
Answer your partner’s questions from Activity 1 using the graphs.
\(\underline{\hspace{25 cm}}\)
\(\underline{\hspace{25 cm}}\)
\(\underline{\hspace{25 cm}}\)
\(\underline{\hspace{25 cm}}\)
\(\underline{\hspace{25 cm}}\)
\(\underline{\hspace{25 cm}}\)
\(\underline{\hspace{25 cm}}\)
\(\underline{\hspace{25 cm}}\)
How did you know where to find the answer to each question?
\(\underline{\hspace{25 cm}}\)
\(\underline{\hspace{25 cm}}\)
Student Response
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for free access to Student Response.
Activity Synthesis
Select 2
–
3 identified students to share a question they answered and how they knew where to find the answer.


aligns: no