standard_description: Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x^(2) + y^(2))^(2) = (x^(2 )– y^(2))^(2) + (2xy)^(2 )can be used to generate Pythagorean triples.
problem_activity: Narrative
The purpose of this activity is for students to use given information to ask and answer different questions. Students may ask Put Together or Compare problems using the given information. A representation of the information is also provided. This representation is a precursor to the tape diagrams students will use to represent and solve Compare problems in grade 2.
When students recognize the mathematical features of things in the real world and ask questions that arise from a presented situation, they model with mathematics (MP4).
MLR2 Collect and Display.
Circulate, listen for and collect the language students use as they create questions to match each task statement. On a visible display, record comparison words and phrases such as: more than, less than, how many fewer, and how many more. Invite students to borrow language from the display as needed, and update it throughout the lesson.
Advances: Conversing, Reading
Required Materials
Materials to Gather
Connecting cubes in towers of 10 and singles
Launch
Groups of 2
Give each group access to connecting cubes in towers or 10 and singles.
Activity
Read the task statement.
15 minutes: partner work time
Monitor for students who can explain how the representation helps them answer the question they asked.
Student Facing
Write and answer 2 questions using the information.
Use the picture for the first one if it is helpful.
Diego went on 7 rides.
Priya went on 11 rides.
[IMG]
Jada went on 3 rides.
Kiran went on 6 rides.
Noah went on 9 rides.
Student Response
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Activity Synthesis
Display the representation in the student book.
Invite previously identified students to share their question and how the representation helps them find the answer to the question.


aligns: no