Microsoft Word - G7 RP Rainfall · Web view2021. 3. 3. · 7.RP.A.2b. Assessing Questions....
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Rainfall Task Description Standards In this task, students are asked to determine if a relationship from a table is proportional and calculate how much rain will fall after a given period of time. 7.RP.A.1 7.RP.A.2a 7.RP.A.2b 7.RP.A.2c Mathematical Understandings Extending Understandings Upon successful completion of these tasks students will demonstrate the ability to: Calculate the unit rate from a table. Generate unknown values from the unit rate. Determine if a relationship is proportional. To move students towards deeper understanding, they should be given opportunities to: Provide a contextual situation to represent a given a table, graph, or equation. Explain the constant of proportionality (unit rate) in terms of the context. Extend their understanding of identifying unit rates in multiple representations to explain the connections between the unit rate and the verbal context interchangeably. Supporting If students are struggling to access this grade level task, additional supports and strategies could be employed as students are engaging with the task. Additional Resources Unit Rates Recognize Proportional Relationships Key Terms Sentence Frames Scaffolded Questions Unit Rate Constant of Proportion ality I think Alexis is correct/incorrect because . I think the relationship is proportional/non- proportional because . What does it mean to be proportional? How can you determine if the relationship from the table is proportional?
Transcript of Microsoft Word - G7 RP Rainfall · Web view2021. 3. 3. · 7.RP.A.2b. Assessing Questions....
RainfallTask Description Standards
In this task, students are asked to determine if a relationship from a table is proportional and calculate how much rain will fall after a given period of time.
7.RP.A.17.RP.A.2a7.RP.A.2b7.RP.A.2c
Mathematical Understandings Extending Understandings
Upon successful completion of these tasks students will demonstrate the ability to:
Calculate the unit rate from a table.
Generate unknown values from the unit rate.
Determine if a relationship is proportional.
To move students towards deeper understanding, they should be given opportunities to:
Provide a contextual situation to represent a given a table, graph, or equation.
Explain the constant of proportionality (unit rate) in terms of the context.
Extend their understanding of identifying unit rates in multiple representations to explain the connections between the unit rate and the verbal context interchangeably.
Supporting Strategies
If students are struggling to access this grade level task, additional supports and strategies could be employed as students are engaging with the task.
Additional ResourcesUnit RatesRecognize Proportional Relationships
Key Terms Sentence Frames Scaffolded Questions
Unit Rate
Constant of Proportionality
I think Alexis is correct/incorrect because .
I think the relationship is proportional/non- proportional because .
What does it mean to be proportional?
How can you determine if the relationship from the table is proportional?
How can you determine the unit rate from the table?
RainfallAlexis and her brother Benji want to go on a boating trip this weekend, but if the water in the river rises too much they will cancel the trip. They checked their rain gauge Thursday night before it started raining and saw that it was empty. When Benji woke up at 7:00 a.m. Friday morning, he saw that there were 4.8 centimeters of rainwater in the gauge. Alexis and Benji continued to record the amount of rainfall in the table below.
a. Alexis claims that the relationship between the amount of rain in the gauge and the number of hours displayed in the table is a proportional relationship because the amount of rainfall between 0 and 4 hours is the same as the amount of rainfall between 6 and 10 hours. Do you agree with Alexis that the relationship is proportional? Use mathematical reasoning to explain why you agree or disagree with Alexis.
b. Benji observes that the amount of rain in the gauge is increasing at a constant rate of 0.25 centimeters per hour. Use Benji’s observation to determine how much rain will be in the gauge after 15 hours. Show your work.
c. If the total amount of rainfall is more than 10.5 centimeters by 7:00 a.m. Saturday, Alexis and Benji will cancel their trip. Assuming the rain continues to fall at the same rate, will they cancel their trip? Use words and a table, graph, or equation to justify your decision.
Student Work Part AQuestion:Do you agree with Alexis that the relationship is proportional? Use mathematical reasoning to explain why you agree or disagree with Alexis.
Standard(s) 7.RP.A.17.RP.A.2a7.RP.A.2b
Assessing Questions
The student correctly disagrees with Alexis and explains the disagreement by pointing out that the amount of rain in the gauge at hour 0 is not 0, and that the ratios for each time period for
theamount of rainare nothours passed
equal.
Student Work Part BQuestion: Benji observes that the amount of rain in the gauge is increasing at a constant rate of 0.25 centimeters per hour. Use Benji’s observation to determine how much rain will be in the gauge after 15 hours. Show your work.
Standard(s) 7.RP.A.2b7.RP.A.2c
Assessing Questions
The student correctly Is there another strategyuses multiplication and you could have used toaddition to find the find the amount of rainamount of rain in the after 15 hours?gauge after 15 hours .
The student usesmultiplication andaddition to correctlydetermine the amount ofrain in the gauge after 15hours.
Student Work Part CQuestion If the total amount of rainfall is more than 10.5 centimeters by 7:00 a.m. Saturday, Alexis and Benji will cancel their trip. Assuming the rain continues to fall at the same rate, will they cancel their trip? Use words and a table, graph, or equation to justify your decision.
Standard(s) 7.RP.A.2b7.RP.A.2c
Assessing Questions
The student completes the table using multiplication to find the amount of rain added to the gauge in the nine hours between hour 15 and hour 24, and recognizes that the amount (10.8cm) is large enough that Alexis and Benji will cancel their trip.
How could you use an equation to find the answer?
The student calculates the total amount of rainfall after 24 hours and correctly concludes that Alexis and Benji will cancel their trip. They also recognizes that 0 represents 7:00 a.m.Friday and that rain had already fallen prior to that time.
How could you use an equation to find the answer?
The student calculates the total amount of rainfall after 24 hours shows that the trip will be canceled. They also demonstrates understanding that 0represents 7:00 a.m. Friday and that rain had already fallen prior to that time.
How could you use an equation to find the answer?
