few_shots: Example:
Problem/activity:
You’re mixing ingredients for cookies. The recipe says to combine 6 tablespoons, or ¾ stick, of butter with 1 cup of sugar. You accidentally mix in a whole stick of butter (8 tablespoons) with the cup of sugar. How can you fix this?


Mathematical concept/skill options: 
A. Analyze proportional relationships and use them to solve real-world and mathematical problems.
B. Understand ratio concepts and use ratio reasoning to solve problems.


Your response:
{
  "explanation": "This problem focuses on the ratio between two ingredients. Students do not have to analyze proportional relationships in-depth, which is reserved for a higher grade level, but rather use ratios to find missing values.",
  "answer": "B"
}

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_000972

6
options: Define trigonometric ratios and solve problems involving right triangles.

Explain volume formulas and use them to solve problems.

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

Use coordinates to prove simple geometric theorems algebraically.

Experiment with transformations in the plane.

Understand similarity in terms of similarity transformations.

Analyze, compare, create, and compose shapes.

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

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

Understand congruence in terms of rigid motions.

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

Apply geometric concepts in modeling situations.

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

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

Reason with shapes and their attributes.

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

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

Prove geometric theorems.

Prove theorems involving similarity.

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

Understand and apply theorems about circles.

Make geometric constructions.

Find arc lengths and areas of sectors of circles.

Understand and apply the Pythagorean Theorem.

Apply trigonometry to general triangles.

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Classify two-dimensional figures into categories based on their properties.
problem_activity: Task
As a whole group, students will sort a collection of three-dimensional objects into categories by shape. There should be several that fall into each of the categories below:
sphere
cone
pyramid
cube
cylinder
rectangular prism
As a class, students brainstorm attributes of the objects they have classified, and the teacher writes those attributes where the entire class can see them. Students then use one of the following sentence frames as they classify the objects. The sentence frames should be written on sentence strips or some other large paper so that the entire class can read/see them during the activity.)
The ___________ is in the shape of a __________ . It is/has __________ , just like all ____________.
The ___________ is in the shape of a __________ . It is/has ___________ , but some ___________ aren't/don't.
The teacher models with one or two objects to start. An example would be:
"The can is in the shape of a cylinder. It has circles on the ends, just like all cylinders."
"The can is a in the shape of a cylinder. It is made of metal, but some cylinders aren't."
This will help students distinguish between defining attributes and non-defining attributes.
Once students are familiar with this task they can be given a set of cards and can work in pairs to classify by defining attribute using the (now familiar) sentence frames.


correct_option_index: 14