few_shots: Example:
Problem/activity:
Task
 Arrange the fractions in order from least to greatest. Explain your answer with a picture.
 $\frac{1}{5}, \frac{1}{7}, \frac{1}{3} $
 $\frac{2}{5}, \frac{2}{7}, \frac{2}{3} $
 $\frac{5}{6}, \frac{3}{6}, \frac{1}{6} $
 $\frac{5}{12}, \frac{8}{12}, \frac{4}{12} $

Mathematical concept/skill options: 
A. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
B. Extend understanding of fraction equivalence and ordering.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
C. Use equivalent fractions as a strategy to add and subtract fractions.
D. Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
E. Understand decimal notation for fractions, and compare decimal fractions.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
F. Develop Understanding of fractions as numbers.
Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.


Your response:
{
  "explanation": "This problem involves understanding fractions as numbers by comparing their quantities.",
  "answer": "F"
}

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: im_task_000157

3
options: Understand the concept of a function and use function notation.

Analyze functions using different representations.

Model periodic phenomena with trigonometric functions.

Extend the domain of trigonometric functions using the unit circle.

Build new functions from existing functions.

Use functions to model relationships between quantities.

Prove and apply trigonometric identities.

Construct and compare linear and exponential models and solve problems.

Build a function that models a relationship between two quantities.

Interpret expressions for functions in terms of the situation they model.

Interpret functions that arise in applications in terms of the context.

Define, evaluate, and compare functions.
problem_activity: Problem 1
[IMG]
The radius of the circle above is
$$1$$
, and it is centered at the origin. This is called a “unit circle.” Find the coordinates of the point marked at
$${45^{\circ}}$$
.
Problem 2
[IMG]
The radius of the circle above is
$$1$$
, and it is centered at the origin. Find the coordinates of the point marked at
$$150^{\circ}$$
.


correct_option_index: 3