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:
Thought: 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: Interpret the structure of expressions.

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

Solve systems of equations.

Reason about and solve one-variable equations and inequalities.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

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

Gain familiarity with factors and multiples.

Represent and solve problems involving addition and subtraction.

Create equations that describe numbers or relationships

Analyze patterns and relationships.

Work with radicals and integer exponents.

Represent and analyze quantitative relationships between dependent and independent variables.

Generate and analyze patterns.

Understand the relationship between zeros and factors of polynomials.

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

Write expressions in equivalent forms to solve problems.

Perform arithmetic operations on polynomials.

Use polynomial identities to solve problems.

Multiply and divide within 100.

Write and interpret numerical expressions.

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

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

Add and subtract within 20.

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

Solve equations and inequalities in one variable.

Represent and solve equations and inequalities graphically.

Rewrite rational expressions.

Use the four operations with whole numbers to solve problems.

Represent and solve problems involving multiplication and division.

Work with addition and subtraction equations.

Use properties of operations to generate equivalent expressions.

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

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
problem_activity: Narrative
The purpose of this activity is for students to make connections between written numbers and expressions. In the activity synthesis, students see each teen number written as an equation. In this unit, when reading equations to students, read the equal sign as “is.” For example, read
\(10 + 3 = 13\)
as “10 plus 3 is 13.” The equal sign will be read as “equals” in the next unit.
MLR8 Discussion Supports.
Synthesis: At the appropriate time, give students 2–3 minutes to make sure that everyone in their group can explain how they organized the numbers and expressions. Invite groups to rehearse what they will say when they share with the whole class.
Advances: Speaking, Conversing, Representing
Engagement: Develop Effort and Persistence.
Some students would benefit from having clear examples of the expectation of group work in this activity. Invite students to generate a list of shared expectations for group work. Ask students to share explicit examples of what those expectations would look like in this activity.
Supports accessibility for: Social-Emotional Functioning
Required Materials
Materials to Copy
Numbers and Expressions Cards
Required Preparation
Create a set of cards from the blackline master for each group of 4.
Launch
Groups of 4
Give each group of students a set of cards.
“Work with your group to organize the cards in a way that makes sense to you.”
Activity
6 minutes: small-group work time
Monitor for students who organize the numbers and expressions as shown in the sample response.
Student Response
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Activity Synthesis
Invite a group of students to share how they organized the numbers and expressions or display the image in student responses.
“What do you notice about the numbers and expressions when they are arranged this way?” (They’re in the order that we count. The first number stays the same. The second number is 1 more each time. All the expressions have a 10. The second number starts at 1 and is one more each time. The expressions match the numbers.)
“Which number does
\(10 + 1\)
represent? How do you know?” (11)
“
\(10 + 1\)
is 11. We can write that as
\(10 + 1 = 11\)
.”
Demonstrate writing equations for each number and expression.


correct_option_index: 33