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: Find inverse functions.
problem_activity: Activity
This practice activity is similar to the last activity in the associated Algebra 1 lesson, except that students are asked to find specific information about the contexts before being asked to compare them.
To give students a greater opportunity to communicate their thinking verbally and listen to the reasoning of others, we recommend assigning each student to either work on function
\(m\)
or
\(p\)
for the first question, and then get together in groups of 2–4 to tackle the remaining questions.
Launch
Arrange students in groups of 2. In each group, one partner completes the first question for function
\(m\)
, and the other partner for function
\(p\)
. Then, partners should work together using the information they found in the first question to complete the remaining questions.
It’s a judgment call about whether to ask students to find the maximum of function
\(m\)
without a graphing calculator or provide access to graphing calculators. In the associated Algebra 1 lessons, there are times when students are asked to answer such a question without graphing.
Student Facing
Two objects are thrown into the air. The height of object M in meters is modeled by the function
\(m(x)=(5+10x)(1.5-x)\)
with
\(x\)
representing time in seconds. The height of object P in meters is modeled by the function
\(p\)
, represented by the graph.
[IMG]
For each object, determine:
the time at which the object hit the ground
the height from which the object was thrown
the maximum height of the object
the time at which the object reached its maximum height
Which object was launched from a greater height? Explain your reasoning.
Which object hit the ground first? Explain your reasoning.
Which object reached a greater maximum height? Explain your reasoning.
Student Response
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Activity Synthesis
Much of the conversation will take place within groups. Time permitting, invite students to create a visual display of their solutions and explanations. Give students an opportunity to review other groups’ work, and time to revise and refine their own work. If desired, select a few exemplary visual displays to keep posted in the classroom to support students in later lessons.


aligns: no