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, in json format:
{
  "explanation": "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: Perform arithmetic operations on polynomials.

Represent and solve equations and inequalities graphically.

Work with radicals and integer exponents.

Solve equations and inequalities in one variable.

Understand the connections between proportional relationships, lines, and linear equations.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Generate and analyze patterns.

Use the four operations with whole numbers to solve problems.

Gain familiarity with factors and multiples.

Represent and solve problems involving addition and subtraction.

Understand properties of multiplication and the relationship between multiplication and division.

Solve systems of equations.

Rewrite rational expressions.

Create equations that describe numbers or relationships

Work with addition and subtraction equations.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Represent and solve problems involving multiplication and division.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Understand the relationship between zeros and factors of polynomials.

Multiply and divide within 100.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Use polynomial identities to solve problems.

Analyze patterns and relationships.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Understand and apply properties of operations and the relationship between addition and subtraction.

Use properties of operations to generate equivalent expressions.

Work with equal groups of objects to gain foundations for multiplication.

Write and interpret numerical expressions.

Write expressions in equivalent forms to solve problems.

Reason about and solve one-variable equations and inequalities.

Add and subtract within 20.

Interpret the structure of expressions.

Understand solving equations as a process of reasoning and explain the reasoning.

Represent and analyze quantitative relationships between dependent and independent variables.
problem_activity: Narrative
The purpose of this activity is for students to use given information to ask and answer different questions. Students may ask Put Together or Compare problems using the given information. A representation of the information is also provided. This representation is a precursor to the tape diagrams students will use to represent and solve Compare problems in grade 2.
When students recognize the mathematical features of things in the real world and ask questions that arise from a presented situation, they model with mathematics (MP4).
MLR2 Collect and Display.
Circulate, listen for and collect the language students use as they create questions to match each task statement. On a visible display, record comparison words and phrases such as: more than, less than, how many fewer, and how many more. Invite students to borrow language from the display as needed, and update it throughout the lesson.
Advances: Conversing, Reading
Required Materials
Materials to Gather
Connecting cubes in towers of 10 and singles
Launch
Groups of 2
Give each group access to connecting cubes in towers or 10 and singles.
Activity
Read the task statement.
15 minutes: partner work time
Monitor for students who can explain how the representation helps them answer the question they asked.
Student Facing
Write and answer 2 questions using the information.
Use the picture for the first one if it is helpful.
Diego went on 7 rides.
Priya went on 11 rides.
[IMG]
Jada went on 3 rides.
Kiran went on 6 rides.
Noah went on 9 rides.
Student Response
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for free access to Student Response.
Activity Synthesis
Display the representation in the student book.
Invite previously identified students to share their question and how the representation helps them find the answer to the question.


correct_option_index: 9

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