G6 U2 Constructed Response
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers TASK 1: Rational Numbers: Elevation, Credit and Debit, Electrical Charge (CCSS 6.NS.5; SMP 1, 2, 3, 4, 6, 8)
1. Marianne and her dad are going on a scuba diving trip. They leave their house, which is 45 feet above sea level, and head out to the dock to their boat, which is at sea level. Then, they head out to sea and dive to 20 feet below sea level. a. Represent the different heights and depths they are at on their trip with a visual model.
b. Explain the meaning of your model. What does your model tell us about the differences between the highest and lowest points Marianne and her dad are at during their trip?
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 1
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers 2. Jared goes out of town for the weekend. He sets aside $150 dollars in his bank account to shop with while he is out. The table below shows items he purchased on the first day of his trip and how much he spent on each. Use this table to answer the following questions. Item
Money Spent
Clothing
$55
Toys
$30
Souvenirs
$40
Sunglasses
$35
Food
$20
a. What is the balance in his account at the end of the day? Show your work
Answer: ____________________ b. Based on your answer from part A, explain what has happened to Jared’s bank account.
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 2
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers c. On day two of his trip, he receives a phone call from the bank saying that he needs to get the balance of his account back up to a minimum of $50. To do this Jared decides that he needs to return some items. What item(s) should Jared return in order to get his account balance back up to at least $50?
Answer: ____________________ d. Explain how you decided what the problem was asking you to find and how you arrived at your answer.
e. Create a model to visually represent what was happening to Jared’s account on day one.
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 3
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers 3. a. Find the overall charge of an atom with 10 protons and 13 electrons. Is this a positive or negative atom?
Answer: __________________________________________ b. Create a visual model to support your answer.
c. What charge would this atom need to have in order for it to have an opposite electrical charge? (Refer to your answer from part A.)
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 4
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers TASK 2: Understanding Rational Numbers and Number Lines (CCSS: 6.NS.7a, c ; SMP: 1, 2, 3, 4, 6, 8)
4. Stewart encounters the following question on a test: “What is the opposite of the number 5.9?” His answer was: The opposite of 5.9 is 9.5. a. Analyze his answer. Write a critique in which you determine if Stewart’s reasoning was correct or incorrect. If he is incorrect then identify and correct any flaws in his reasoning.
b. Create a visual model to prove that your answer is correct.
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 5
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers 5. a. Compare the rational numbers and complete the inequality statement below: ‒ 3.5 ____ 0.6 _____ is above _____, so it is greater. ______ is below ______, so it is less. b. Create a number line to visually represent the situation being described.
6. a. Veronica is tracking the growth of brothers and sisters in two months. The table below shows the growth of each of child in inches. In the space provided, create a number line and label the growth of each of her brothers and sisters. Child’s Name Stacy Patrick Ronald Jesse Sam
Growth (in) 2 1.25 1.75 2.25 0.5
b. Write an inequality that compares the growth of Stacy and Sam. Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 6
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers
Answer: _____________________ c. Write an inequality that compares the growth of Stacy and Jesse.
Answer: _____________________ d. Which had the highest growth in inches? Is it possible for this person’s growth to be the opposite in the next two months? Explain your reasoning.
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 7
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers TASK 3: Absolute Value of Integers and Comparing Numbers (CCSS: 6.NS.7b,c ; SMP: 1, 3, 4, 5, 6, 8 )
7. a. For the statement below, write the absolute value of each number and describe the distance it is from zero. On Tuesday, the temperature in Juno, Alaska was 5°F below zero and on Wednesday the temperature was 2°F
Answer: _____________________________ b. Identify and describe a visual model you could us to represent this problem.
c. Visually represent the problem using the model you identified and described in part b.
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 8
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers 8. a. Analyze the absolute values below. Describe a starting point for solving this problem. Are there any concepts you have learned before that would be helpful in this situation? |−4.5| |2.5| |−2.59| |−1.7| |1.3|
b. Using the strategy you described, place the absolute value in order from least to greatest.
Answer: __________________________________
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 9
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers 9. Mark solved the following problem. Analyze his work and identify any mistakes. If there are mistakes, correct them. The temperature was 16°F below zero on Sunday Night. Today the temperature is 5°F below zero. Which temperature is warmer? Mark’s Answer: ‒16°F > ‒5°F; ‒16°F is warmer than ‒5°F
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 10
Grade 6 Unit 2 Constructed Response Rational Numbers TASK 1: Rational Numbers: Elevation, Credit and Debit, Electrical Charge (CCSS 6.NS.5; SMP 1, 2, 3, 4, 6, 8)
1. Marianne and her dad are going on a scuba diving trip. They leave their house, which is 45 feet above sea level, and head out to the dock to their boat, which is at sea level. Then, they head out to sea and dive to 20 feet below sea level. a. Represent the different heights and depths they are at on their trip with a visual model.
b. Explain the meaning of your model. What does your model tell us about the differences between the highest and lowest points Marianne and her dad are at during their trip?
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 1
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers 2. Jared goes out of town for the weekend. He sets aside $150 dollars in his bank account to shop with while he is out. The table below shows items he purchased on the first day of his trip and how much he spent on each. Use this table to answer the following questions. Item
Money Spent
Clothing
$55
Toys
$30
Souvenirs
$40
Sunglasses
$35
Food
$20
a. What is the balance in his account at the end of the day? Show your work
Answer: ____________________ b. Based on your answer from part A, explain what has happened to Jared’s bank account.
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 2
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers c. On day two of his trip, he receives a phone call from the bank saying that he needs to get the balance of his account back up to a minimum of $50. To do this Jared decides that he needs to return some items. What item(s) should Jared return in order to get his account balance back up to at least $50?
Answer: ____________________ d. Explain how you decided what the problem was asking you to find and how you arrived at your answer.
e. Create a model to visually represent what was happening to Jared’s account on day one.
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 3
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers 3. a. Find the overall charge of an atom with 10 protons and 13 electrons. Is this a positive or negative atom?
Answer: __________________________________________ b. Create a visual model to support your answer.
c. What charge would this atom need to have in order for it to have an opposite electrical charge? (Refer to your answer from part A.)
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 4
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers TASK 2: Understanding Rational Numbers and Number Lines (CCSS: 6.NS.7a, c ; SMP: 1, 2, 3, 4, 6, 8)
4. Stewart encounters the following question on a test: “What is the opposite of the number 5.9?” His answer was: The opposite of 5.9 is 9.5. a. Analyze his answer. Write a critique in which you determine if Stewart’s reasoning was correct or incorrect. If he is incorrect then identify and correct any flaws in his reasoning.
b. Create a visual model to prove that your answer is correct.
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 5
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers 5. a. Compare the rational numbers and complete the inequality statement below: ‒ 3.5 ____ 0.6 _____ is above _____, so it is greater. ______ is below ______, so it is less. b. Create a number line to visually represent the situation being described.
6. a. Veronica is tracking the growth of brothers and sisters in two months. The table below shows the growth of each of child in inches. In the space provided, create a number line and label the growth of each of her brothers and sisters. Child’s Name Stacy Patrick Ronald Jesse Sam
Growth (in) 2 1.25 1.75 2.25 0.5
b. Write an inequality that compares the growth of Stacy and Sam. Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 6
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers
Answer: _____________________ c. Write an inequality that compares the growth of Stacy and Jesse.
Answer: _____________________ d. Which had the highest growth in inches? Is it possible for this person’s growth to be the opposite in the next two months? Explain your reasoning.
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 7
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers TASK 3: Absolute Value of Integers and Comparing Numbers (CCSS: 6.NS.7b,c ; SMP: 1, 3, 4, 5, 6, 8 )
7. a. For the statement below, write the absolute value of each number and describe the distance it is from zero. On Tuesday, the temperature in Juno, Alaska was 5°F below zero and on Wednesday the temperature was 2°F
Answer: _____________________________ b. Identify and describe a visual model you could us to represent this problem.
c. Visually represent the problem using the model you identified and described in part b.
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 8
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers 8. a. Analyze the absolute values below. Describe a starting point for solving this problem. Are there any concepts you have learned before that would be helpful in this situation? |−4.5| |2.5| |−2.59| |−1.7| |1.3|
b. Using the strategy you described, place the absolute value in order from least to greatest.
Answer: __________________________________
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 9
Name: ________________________________________ Date:_______________
Grade 6 Unit 2 Constructed Response Rational Numbers 9. Mark solved the following problem. Analyze his work and identify any mistakes. If there are mistakes, correct them. The temperature was 16°F below zero on Sunday Night. Today the temperature is 5°F below zero. Which temperature is warmer? Mark’s Answer: ‒16°F > ‒5°F; ‒16°F is warmer than ‒5°F
Copyright © Swun Math Grade 6 Unit 2 Constructed Response, Page 10
