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, in json format:
{
  "explanation": "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: Understand the place value system.

Work with numbers 11–19 to gain foundations for place value.

Use place value understanding and properties of operations to perform multi-digit arithmetic.
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.

Perform operations with multi-digit whole numbers and with decimals to hundredths.

Use place value understanding and properties of operations to perform multi-digit arithmetic. (A range of algorithms may be used.)

Understand place value.

Extend the counting sequence.

Use place value understanding and properties of operations to add and subtract.

Generalize place value understanding for multi-digit whole numbers.
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.
problem_activity: Narrative
The purpose of this activity is for students to add and subtract within 1,000. Students begin the activity by analyzing different expressions without adding or subtracting to determine which values they think would be the least and most challenging to find. In the synthesis, students share different reasons why sums and differences were chosen to be “least” and “most challenging” and different methods for finding the values of the expressions.
Although students may have many different reasons for why they think expressions are more or less challenging to find, the synthesis focuses on reasons based on composing or decomposing units. Discussing whether students will compose or decompose units will support students in fluently finding sums and differences within 100 in the next activity.
This activity uses
MLR8 Discussion Supports. Advances: speaking
Launch
Groups of 2
Activity
“Without finding the value of any of the sums or differences, read each expression and circle the two you think would be the most challenging to find the value of.”
3 minutes: independent work time
“Choose one of the expressions you circled and find the value. Then choose 2 other expressions and find their value.”
4 minutes: independent work time
“Share your work with your partner. Explain why you picked your expressions and the method you used to find the values.”
MLR8 Discussion Supports
Display sentence frames to support students when they explain their strategy:
“I picked _____ because . . . .“
“First, I _____ because . . . .”
“I noticed _____ so I . . . .”
4 minutes: partner discussion
Student Facing
A
\(102 + 341\)
G
\(64 + 37\)
B
\(385 - 124\)
H
\(302 - 198\)
C
\(611 - 45\)
I
\(73 - 27\)
D
\(87 + 38\)
J
\(685 + 279\)
E
\(571 - 268\)
K
\(320 + 509\)
F
\(885 - 142\)
L
\(53 + 52\)
Circle 2 sums or differences you think would be the most challenging to find. Find the value of one of these expressions. Show your thinking.
Choose 2 other expressions and find the values. Show your thinking.
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Activity Synthesis
Poll the class. For each expression, ask students to “Show one finger if the expression was not challenging, two fingers if it was a little challenging, or three fingers if it was the most challenging to find.”
Consider displaying:
A, D, E, F, H, J
Stop for any expressions where there is a mix of ratings.
Consider asking:
“Why did you feel this expression is more challenging?”
“Who can share why this expression was less challenging?”
For expressions where most or all students felt the expression was most challenging, select students to share different methods for finding the value.
“All the expressions you felt were most challenging can become less challenging with practice and using what you know about place value.”


correct_option_index: 7