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, in json format:
{
  "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: Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Analyze, compare, create, and compose shapes.

Apply trigonometry to general triangles.

Experiment with transformations in the plane.

Apply geometric concepts in modeling situations.

Understand congruence and similarity using physical models, transparencies, or geometry software.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Use coordinates to prove simple geometric theorems algebraically.

Reason with shapes and their attributes.

Understand and apply theorems about circles.

Understand similarity in terms of similarity transformations.

Solve real-world and mathematical problems involving area, surface area, and volume.

Graph points on the coordinate plane to solve real-world and mathematical problems.

Prove geometric theorems.

Define trigonometric ratios and solve problems involving right triangles.

Find arc lengths and areas of sectors of circles.

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Explain volume formulas and use them to solve problems.

Visualize relationships between two-dimensional and three-dimensional objects.

Make geometric constructions.

Translate between the geometric description and the equation for a conic section.

Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).

Prove theorems involving similarity.

Classify two-dimensional figures into categories based on their properties.

Understand congruence in terms of rigid motions.

Draw, construct, and describe geometrical figures and describe the relationships between them.

Understand and apply the Pythagorean Theorem.
problem_activity: Problem 1
Bisect the following angle using constructions. Write your steps for construction.
$${\overline{CA}\cong \overline{AB}}$$
[IMG]
Problem 2
You and your partner will be provided with a list of steps (in random order) needed to copy an angle using a compass and straightedge. Your task is to place the steps in the correct order, then follow the steps to copy the angle below.
[IMG]
{"table": [{"_attributes": {"class": ["table", "table-bordered"], "style": "width:50%"}, "tbody": [{"tr": [{"td": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$B$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$B$$"}], "_values": ["Draw circle", ": center", ", any radius."]}]}, {"td": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$B$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$A$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$C$$"}], "_values": ["Label the intersections of circle", "with the sides of the angle as", "and"], "em": [{"_value": "."}]}]}, {"td": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$B$$"}], "_values": ["Label the vertex of the original angle as", "."]}]}, {"td": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${\\overrightarrow{ED}}$$"}], "_values": ["Draw", "."]}]}, {"td": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${\\overrightarrow{EG}}$$"}], "_values": ["Draw", "as one side of the angle to be drawn."]}]}, {"td": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$F$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$F$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$FA$$"}], "_values": ["Draw circle", ": center", ", radius", "."]}]}, {"td": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$E$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$E$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$EA$$"}], "_values": ["Draw circle", ": center", ", radius", "."]}]}, {"td": [{"em": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$E$$"}]}], "_values": ["Label intersection of circle", "with", "as", "."], "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${\\overrightarrow{EG}}$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$F$$"}]}]}, {"td": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$E$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$F$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$D$$"}], "_values": ["Label either intersection of circle", "and circle", "as", "."]}]}]}]}]}


correct_option_index: 3

19