few_shots: Example:
Problem/activity:
Task
Cruz and Erica were both getting ready for soccer.
Cruz ran 1 lap around the school.
Erica ran 3 laps around the playground.
Erica said,
I ran more laps, so I ran farther.
Cruz said,
4 laps around the school is 1 mile, but it takes 12 laps around the playground to go 1 mile. My laps are much longer, so I ran farther.
Who is right? Draw a picture to help you explain your answer.


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. Develop Understanding of fractions as numbers.
Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.
E. Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
F. 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.


Your response:
Thought: In this problem, students learn to recognize equivalent fractions. That is, three laps around the playground is 3/12 mile, which is equivalent to 1/4, which is one lap around the school.
Answer: B

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: im_task_000212

4
options: Create equations that describe numbers or relationships

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

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

Write and interpret numerical expressions.

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

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

Understand the relationship between zeros and factors of polynomials.

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

Solve equations and inequalities in one variable.

Multiply and divide within 100.

Work with addition and subtraction equations.

Represent and solve problems involving addition and subtraction.

Represent and solve problems involving multiplication and division.

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

Add and subtract within 20.

Interpret the structure of expressions.

Perform arithmetic operations on polynomials.

Solve systems of equations.

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

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

Represent and analyze quantitative relationships between dependent and independent variables.

Write expressions in equivalent forms to solve problems.

Represent and solve equations and inequalities graphically.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Generate and analyze patterns.

Gain familiarity with factors and multiples.

Reason about and solve one-variable equations and inequalities.

Use the four operations with whole numbers to solve problems.

Use polynomial identities to solve problems.

Use properties of operations to generate equivalent expressions.

Analyze patterns and relationships.

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

Rewrite rational expressions.

Work with radicals and integer exponents.
problem_activity: Problem 1
For each of the following problems,
Decide if it can be solved using multiplication or division. Explain your thinking.
For each word problem that can be solved using multiplication or division, represent it using an equation with a letter standing for the unknown quantity.
Solve.
a.   Nadeem is reading a book. It takes him 7 minutes to read each page. How many minutes will it take for Nadeem to read 10 pages?
b.   Helen spent some money on her 3 grandchildren at the fair. If she spent a total of $12, how much did she spend on each grandchild?
c.   Kiara is making saris. She has 30 meters of fabric and needs 5 meters to make each sari. How many saris can Kiara make?
Problem 2
For each part below, write a word problem that can be represented with the given expression.
a.
$$4 \times 6$$
b.
$$15 \div 3$$


correct_option_index: 12