few_shots: 
Example:
Concept/skill: 
Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.

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.


Answer: 
No. This task does not involve comparing decimals to hundredths. Instead, it involves fraction comparisons.

Now, determine whether the following problem or activity can enable students to understand the concepts or skills in the provided description.

shot_info: im_task_000212_neg_0

4
standard_description: Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:
- 100 can be thought of as a bundle of ten tens — called a “hundred.”
- The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).
problem_activity: Narrative
The purpose of this activity is for students to choose an algorithm or other strategy to add within 1,000. Students should attend to the details of numbers in the problems that could indicate whether a particular strategy or algorithm is most useful. The important thing is that students choose an algorithm or strategy that they can use efficiently and accurately for the given problem.
Engagement: Develop Effort and Persistence.
Check in and provide each group with feedback that encourages collaboration and community. For example, check that students are staying on task, using math vocabulary, and sharing how they solved the problem.
Supports accessibility for: Social-Emotional Functioning
Launch
Groups of 2
“We’ve been learning about addition algorithms for the last few lessons. Recall that an algorithm is a set of steps that works every time as long as the steps are carried out correctly. But, you know lots of ways to add numbers and lots of representations for showing your work like base-ten diagrams, number lines, and writing words or equations. If it’s not a set of steps that would work every time, we call it a strategy.”
“In this activity, you’re going to have an opportunity to find the value of each of these sums using an algorithm or other strategy of your choice.”
Activity
“Find the value of each sum. Later, you’ll have a chance to share your work.”
7-10 minutes: independent work time
Identify students who used the same strategy to add and those who used different strategies.
Choose a few problems for students to discuss. Consider selecting
\(264 +359\)
(the second expression) and
\(399 + 499\)
(the last expression), which lend themselves to be evaluated with an algorithm and another strategy, respectively.
“Find a partner that added the same way you did. Discuss your reasoning.”
1-2 minutes: partner discussion
“Now find a partner who found the sum in a different way from you. Discuss your reasoning.”
2-3 minutes: partner discussion
Repeat the discussion with 1-2 expressions or as many as time permits.
Student Facing
Use a strategy of your choice to find the value of each sum. Show your reasoning. Organize it so it can be followed by others.
\(199 + 348\)
\(264 + 359\)
\(203 + 75\)
\(316 + 198\)
\(399 + 499\)
[IMG]
Student Response
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Activity Synthesis
Invite 4-5 students to share a strategy or algorithm that someone they talked to used.
“What strategies or algorithms do you want to practice more?”


aligns: no