G5 U1 Constructed Response
Name: ________________________________________ Date:_______________
Grade 5 Unit 1 Constructed Response Place Value System TASK 1: Place Value (CCSS 5.NBT.1; SMP 1, 4, 5, 7, 8)
1. a. Starting with 36, multiply by 10 until you get to a number in the hundred thousands place. Show your work by completing the table below:
Thousandths
Hundredths
Tenths
.
THOUSANDTHS
One
Tens
Hundreds
ONES One-thousands
Ten-thousands
Hundred-thousand
THOUSANDS
Start
b. Explain how a place value chart works. How is it a useful tool in a problem like this?
Copyright © Swun Math Grade 5 Unit 1 Constructed Response, Page 1
Grade 5 Unit 1 Constructed Response Place Value System 2. a. Divide 33,000 by ten until you can no longer divide by 10. Complete the place value chart.
Thousandths
Hundredths
Tenths
.
THOUSANDTHS
One
Tens
Hundreds
ONES One-thousands
Ten-thousands
Hundred-thousand
THOUSANDS
Start
b. What is the final answer after completing the table? Answer: ____________________ c. After completing the table, explain any patterns you observed in your work. Is there any significance in this pattern in relation to your final answer?
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Grade 5 Unit 1 Constructed Response Place Value System 3. Examine the number below: 6,167.789 Using your knowledge of place value, compare the values of the number six in the thousands place to the number six in the tens place? How are their values different? Justify your reasoning.
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Grade 5 Unit 1 Constructed Response Place Value System TASK 2: Powers of 10 with Whole Numbers and Decimals (CCSS: 4.NBT.3, 4.NBT.4; SMP: 2, 6, 7, 8)
4. Use the expression below to answer the following questions: 224 × 105 = ? a. Use mathematical vocabulary to explain the meaning of the expression.
b. Are there any concepts or shortcuts you have learned that could be useful in solving his type of problem? How is this shortcut helpful in finding the solution?
c. Solve the expression using the shortcut you explained above. Show your work in organized and detailed steps.
Answer: _____________________ Copyright © Swun Math Grade 5 Unit 1 Constructed Response, Page 4
Grade 5 Unit 1 Constructed Response Place Value System 5. a. Use the number bank below to make the equation true: 104 70 17 10 40 100 4 106
×
×
= 28,000,000
Answer: ____________________ b. Develop a logical argument explaining how you know that your number selections made the equation true. Support your argument with appropriate vocabulary and concepts that you have learned.
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Grade 5 Unit 1 Constructed Response Place Value System 6. Analyze the two expressions below: Expression #1: 567.82 ÷ 104
Expression #2: 567.82 × 104
a. Compare and contrast the process necessary to find the solution for each expression.
b. Find the solution for each expression. Show your work in detailed and organized steps.
Answer: Expression #1: ___________________ Expression #2: ___________________
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Grade 5 Unit 1 Constructed Response Place Value System TASK 3: Comparing and Rounding Decimals (CCSS: 2.NBT.3a, 5.NBT.1, 5.NBT.3a, b, 5.NBT.4; SMP: 1, 2, 4, 5, 6, 7, 8 )
7. Identify and describe a tool that can be used to write a number in expanded form and word form. How would this tool be useful in solving this type of problem?
b. Write the number 335.698 in expanded form and word form using the math tool you identified above.
Answer: Expanded Form: ______________________________________ Word Form: ______________________________________
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Grade 5 Unit 1 Constructed Response Place Value System 8. a. Compare the two numbers below using the symbols >,
Grade 5 Unit 1 Constructed Response Place Value System TASK 1: Place Value (CCSS 5.NBT.1; SMP 1, 4, 5, 7, 8)
1. a. Starting with 36, multiply by 10 until you get to a number in the hundred thousands place. Show your work by completing the table below:
Thousandths
Hundredths
Tenths
.
THOUSANDTHS
One
Tens
Hundreds
ONES One-thousands
Ten-thousands
Hundred-thousand
THOUSANDS
Start
b. Explain how a place value chart works. How is it a useful tool in a problem like this?
Copyright © Swun Math Grade 5 Unit 1 Constructed Response, Page 1
Grade 5 Unit 1 Constructed Response Place Value System 2. a. Divide 33,000 by ten until you can no longer divide by 10. Complete the place value chart.
Thousandths
Hundredths
Tenths
.
THOUSANDTHS
One
Tens
Hundreds
ONES One-thousands
Ten-thousands
Hundred-thousand
THOUSANDS
Start
b. What is the final answer after completing the table? Answer: ____________________ c. After completing the table, explain any patterns you observed in your work. Is there any significance in this pattern in relation to your final answer?
Copyright © Swun Math Grade 5 Unit 1 Constructed Response, Page 2
Grade 5 Unit 1 Constructed Response Place Value System 3. Examine the number below: 6,167.789 Using your knowledge of place value, compare the values of the number six in the thousands place to the number six in the tens place? How are their values different? Justify your reasoning.
Copyright © Swun Math Grade 5 Unit 1 Constructed Response, Page 3
Grade 5 Unit 1 Constructed Response Place Value System TASK 2: Powers of 10 with Whole Numbers and Decimals (CCSS: 4.NBT.3, 4.NBT.4; SMP: 2, 6, 7, 8)
4. Use the expression below to answer the following questions: 224 × 105 = ? a. Use mathematical vocabulary to explain the meaning of the expression.
b. Are there any concepts or shortcuts you have learned that could be useful in solving his type of problem? How is this shortcut helpful in finding the solution?
c. Solve the expression using the shortcut you explained above. Show your work in organized and detailed steps.
Answer: _____________________ Copyright © Swun Math Grade 5 Unit 1 Constructed Response, Page 4
Grade 5 Unit 1 Constructed Response Place Value System 5. a. Use the number bank below to make the equation true: 104 70 17 10 40 100 4 106
×
×
= 28,000,000
Answer: ____________________ b. Develop a logical argument explaining how you know that your number selections made the equation true. Support your argument with appropriate vocabulary and concepts that you have learned.
Copyright © Swun Math Grade 5 Unit 1 Constructed Response, Page 5
Grade 5 Unit 1 Constructed Response Place Value System 6. Analyze the two expressions below: Expression #1: 567.82 ÷ 104
Expression #2: 567.82 × 104
a. Compare and contrast the process necessary to find the solution for each expression.
b. Find the solution for each expression. Show your work in detailed and organized steps.
Answer: Expression #1: ___________________ Expression #2: ___________________
Copyright © Swun Math Grade 5 Unit 1 Constructed Response, Page 6
Grade 5 Unit 1 Constructed Response Place Value System TASK 3: Comparing and Rounding Decimals (CCSS: 2.NBT.3a, 5.NBT.1, 5.NBT.3a, b, 5.NBT.4; SMP: 1, 2, 4, 5, 6, 7, 8 )
7. Identify and describe a tool that can be used to write a number in expanded form and word form. How would this tool be useful in solving this type of problem?
b. Write the number 335.698 in expanded form and word form using the math tool you identified above.
Answer: Expanded Form: ______________________________________ Word Form: ______________________________________
Copyright © Swun Math Grade 5 Unit 1 Constructed Response, Page 7
Grade 5 Unit 1 Constructed Response Place Value System 8. a. Compare the two numbers below using the symbols >,
