few_shots: Example:
Problem/activity:
For each pair of numbers, determine if the values are equivalent. Explain your reasoning for each one.
a.
$$-0.25$$
and
$$\frac{1}{-4}$$
b.
$$-\left ( \frac{1}{4} \right )$$
and
$$\frac{-1}{-4}$$
c.
$$\frac{-1}{4}$$
and
$$-\frac{1}{4}$$


Mathematical concept/skill options: 
A. Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
B. Reason quantitatively and use units to solve problems.
C. Apply and extend previous understandings of numbers to the system of rational numbers.
D. Represent complex numbers and their operations on the complex plane.
E. Perform arithmetic operations with complex numbers.
F. Compute fluently with multi-digit numbers and find common factors and multiples.
G. Represent and model with vector quantities.
H. Perform operations on vectors.
I. Use properties of rational and irrational numbers.
J. Use complex numbers in polynomial identities and equations.
K. Extend the properties of exponents to rational exponents.
L. Know that there are numbers that are not rational, and approximate them by rational numbers.
M. Perform operations on matrices and use matrices in applications.
N. Apply and extend previous understandings of multiplication and division to divide fractions by fractions.


Your response:
Thought: This problem involves understanding fractions, multiplication, and division.
Answer: A

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_001097

7
options: Measure lengths indirectly and by iterating length units.

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

Tell and write time.

Describe and compare measurable attributes.

Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

Relate addition and subtraction to length.

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

Classify objects and count the number of objects in each category.

Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Measure and estimate lengths in standard units.

Represent and interpret data.

Geometric measurement: understand concepts of angle and measure angles.

Work with time and money.

Convert like measurement units within a given measurement system.
problem_activity: Stage 1: Any Way
Required Preparation
Materials to Gather
Collections of objects
Materials to Copy
Blackline Masters
Sort and Display Stage 1 Recording Sheet

Narrative
Students sort 10–20 objects into two or three categories and then show how they sorted. Provide students with a group of items that will be interesting for them to work with such as:
pattern blocks
connecting cubes
counters
combination of the blocks, cubes, and counters
sets of books
Students then show their representation to a partner and ask questions that can be answered about their collection of objects.
Additional Information
Create collections of 10–20 objects with up to three attributes by which to sort.


correct_option_index: 11