few_shots: Example:
Problem/activity:
Narrative
The purpose of this activity is for students to create composite shapes and compose new shapes from composite shapes. For example, students may find that a rectangular prism can be made from four triangular prisms or from eight smaller cubes. Students then discover that they can combine two of the composed rectangular prisms to make a new rectangular prism.
Required Materials
Materials to Gather
Geoblocks
Launch
Groups of 4
Give each group geoblocks.
Display a large cube.
“This cube can be built from other shapes. See how many ways you can build a cube using other shapes.”
3 minutes: partner work time
Share responses.
Activity
“Choose a different shape. Try to find smaller shapes you can use to build that shape.”
5 minutes: partner work time
Student Response
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Activity Synthesis
Display a cube and a composite cube—for example, a cube composed of four small cubes and one rectangular prism.
Demonstrate putting the shapes together.
“What new shape did I make with the cube and the cube I made?”
“Put your shapes together to make a rectangular prism.”
Display a rectangular prism and two triangular prisms.
“Find these shapes. Put them together. What new shape can you make?” (a cube, a rectangular block)


Standard options: 
A. Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.
B. Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.
C. Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape. (Students do not need to learn formal names such as “right rectangular prism.”)


Your response:
C

Now, assign the following problem or activity to one or more relevant standards it aligns with.
shot_info: im_lesson_009431

1
options: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.
problem_activity: Narrative
The purpose of this activity is for students to think about different activities they might participate in during free time, to define a smaller set of categories, and to collect data. A significant part of this activity is the definition of the categories, which is an important aspect of mathematical modeling (MP4). Encourage students to convert the time for their activities from minutes to hours. Students may notice that some fractions are more meaningful in the context of time such as half, third, and quarter of an hour. Students will further explore the relationship between time and fractions in the activity synthesis.
If a student sees that a specific activity is not on the poster, have them consider if there is an umbrella activity. For example, “What category, that is on a poster, might talking to your friends go under?”
Engagement: Develop Effort and Persistence.
Invite students to generate a list of shared expectations for group work. Record responses on a display and keep visible during the activity.
Supports accessibility for: Social-Emotional Functioning, Attention
Launch
Groups of 4
“What are some things you do or like to do if you have free time on the weekend?” (sleep, play video games, play sports, spend time with family, social media, read, go to the movies)
Activity
“For this activity, you’ll think about how you might spend 2 hours of free time and then we’ll record the time we spend for some of those activities.”
“As you work, I will write down the different categories of your responses on the posters hanging around the room. You will record your times on the posters.”
As students work, monitor for 4–6 popular activities and write the titles of these activities on the large pieces of poster paper. If necessary, list some examples of the umbrella category.
8–10 minutes: independent work time
Monitor for students who record using multiples of
\(\frac{1}{2}\)
,
\(\frac{1}{4}\)
, and
\(\frac{1}{8}\)
of an hour.
Student Facing
Imagine on the weekend you have 2 hours of free time that you can spend any way you like.
How would you spend it? Record your answer in fractions of an hour. Show your reasoning.
Record the time for each activity from your list on the appropriate poster, if there is a category for it.
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
“Look at the data of the different categories around the room. What do you notice?” (Most people recorded using halves and fourths. More students play games than read books. There is more data on one poster than on another. There are more small numbers on one poster, it’s hard to compare because there are so many numbers and they are not in any order.)
If it doesn’t come up, ask, “Why did most people record time as multiples of
\(\frac{1}{2}\)
and
\(\frac{1}{4}\)
?” (Because half of 60 minutes is 30 and half of that is 15. I can easily see that on the clock.)
“Does it make sense to talk about time using
\(\frac{1}{8}\)
or
\(\frac{1}{7}\)
of an hour?” (Yes but it’s not a whole number of minutes like
\(\frac{1}{2}\)
hour or
\(\frac{1}{4}\)
hour.)
“What are some ways we can organize the data?” (Bar graph, line plot, chart, list the numbers in order.)


correct_option_index: 1