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


Topic options: 
A. Geometry: students learn to classify geometric figures by their properties, and understand and compare the relationships between them. Students develop and use formulas to compute lengths, areas, and volumes, and they use transformations to generate new shapes and compare existing ones. Geometry can be studied with and without coordinates.
B. Functions: students learn to define, use, and evaluate functions to model relationships between quantities.
C. Number & Operations in Base Ten: students learn to work with the base-ten system and build place value understanding.
D. Modeling: students learn to choose and use appropriate mathematics and statistics to analyze real-world empirical situations, improve decisions, and report on their conclusions and the reasoning behind them.
E. Ratios & Proportional Relationships: students learn to recognize, describe, represent, and reason with ratios, rates, proportional relationships, and percent.
F. Operations & Algebra: students learn to solve problems using algebraic thinking and operations such as addition, subtraction, multiplication, and division. They may learn to identify and explain arithmetic patterns, evaluate or manipulate numerical expressions, and reason with equations and inequalities.
G. Number Systems and Quantity: students learn to understand the complex number system and reason quantitatively.
H. Statistics & Probability: students learn to analyze and produce data distributions, and build understanding of univariate and bivariate data. They learn to interpret data, make statistical inferences, justify conclusions, understand rules of probability, and use probability to make decisions.
I. Measurement & Data: students learn to work with data and measure attributes such as time, money, length, area, and volume. They may learn to compare measurements to operations and convert between different units of measure.
J. Counting & Cardinality: students learn to know number names and the count sequence, count to tell the number of objects, and compare numbers.
K. Number & Operations - Fractions: students learn to understand fractions as numbers and may work with them using addition, subtraction, multiplication, and division.


Your response:
B

Now, assign the following problem or activity to one or more relevant topics it teaches.
shot_info: fl_problem_001894

HS
options: Statistics & Probability: students learn to analyze and produce data distributions, and build understanding of univariate and bivariate data. They learn to interpret data, make statistical inferences, justify conclusions, understand rules of probability, and use probability to make decisions.

Geometry: students learn to classify geometric figures by their properties, and understand and compare the relationships between them. Students develop and use formulas to compute lengths, areas, and volumes, and they use transformations to generate new shapes and compare existing ones. Geometry can be studied with and without coordinates.

Number & Operations in Base Ten: students learn to work with the base-ten system and build place value understanding.

Number Systems and Quantity: students learn to understand the complex number system and reason quantitatively.

Modeling: students learn to choose and use appropriate mathematics and statistics to analyze real-world empirical situations, improve decisions, and report on their conclusions and the reasoning behind them.

Measurement & Data: students learn to work with data and measure attributes such as time, money, length, area, and volume. They may learn to compare measurements to operations and convert between different units of measure.

Functions: students learn to define, use, and evaluate functions to model relationships between quantities.

Counting & Cardinality: students learn to know number names and the count sequence, count to tell the number of objects, and compare numbers.

Ratios & Proportional Relationships: students learn to recognize, describe, represent, and reason with ratios, rates, proportional relationships, and percent.

Operations & Algebra: students learn to solve problems using algebraic thinking and operations such as addition, subtraction, multiplication, and division. They may learn to identify and explain arithmetic patterns, evaluate or manipulate numerical expressions, and reason with equations and inequalities.

Number & Operations - Fractions: students learn to understand fractions as numbers and may work with them using addition, subtraction, multiplication, and division.
problem_activity: Narrative
The purpose of this activity is for students to count their collection in a way that makes sense to them.  Students are invited to represent how many objects are in their collection. Some students may choose to create a drawing, make a group with the same number of objects, or just demonstrate how they counted. Students will focus more on creating written representations of how many in a later unit. Monitor and select students with the following strategies to share in the synthesis:
demonstrate or explain how they counted
take out the same number of objects
draw a picture
Students are provided with a counting mat and 5-frames to help them accurately count or organize their collections. Students use appropriate tools strategically as they choose which tools help them count their collections (MP5).
Action and Expression: Internalize Executive Functions.
Invite students to plan a strategy, including what drawings, numbers, words, or objects they will use, to show how they counted their collection.
Supports accessibility for: Conceptual Processing, Organization
Required Materials
Materials to Gather
5-frames
Collections of objects
Counting mats
Launch
Groups of 2
“Today you’re going to count another collection of objects. During Questions About Us, we showed how many of us are here today. As you’re counting your collection, think about how you can show how you counted your collection.”
Activity
Give each student a bag of objects. Give students access to 5-frames and a counting mat.
“Figure out how many objects are in your collection."
2 minutes: independent work time
“Switch collections with a partner. Figure out how many objects are in your new collection.”
2 minutes: independent work time
“Tell your partner how many objects are in your collection. Show them how you counted the objects.”
30 seconds: quiet think time
2 minutes: partner discussion
“Show how you counted your collection. Show your thinking using objects, drawings, numbers, or words.”
2 minutes: independent work time
Monitor for students who use the strategies in the synthesis to represent how they counted.
Student Facing
Show how many objects are in your collection.
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Advancing Student Thinking
If students have difficulty representing their count on paper, consider having them explain how they counted verbally. Students can also be provided stickers that they can put on their paper to represent each object in place of a drawing.
Activity Synthesis
Ask selected students to share in the order listed in the activity narrative.
“What is the same about how they each counted their collections?” (They all counted each object 1 time.)
“What is different about how they each showed how they counted?” (Some people drew a picture and some used objects.)
After each student shares, write or display the number and say, “There are _____ objects in their collection.”


correct_option_index: 7