Million Maker Worksheet Base Ten Blueprint • Lesson 1-1
Million Maker
enVision Math Grade 4 • IXL: 4R6, 7WT, 9DJ
Name
Date
STUDENT SHEET
Blueprint Specifications: Number Forms
Standard Form 342,109
Written with digits and commas separating periods.
Expanded Form 300k + 40k + 2k + 100 + 9
Sum of the values of each digit.
Word Form Three hundred forty-two thousand, one hundred nine
1
Standard to Word Form
Write each multi-digit number in written word form.
A) 45,203
B) 607,980
2
Word to Standard Form
Write the correct standard form using commas correctly.
A) Twelve thousand, eight hundred forty-seven
B) Five hundred four thousand, twenty-two
3
Standard to Expanded Form
Decompose the following numbers into their expanded place values.
A) 391,045
B) 805,670
4
Analyzing Place & Value
Analyze digit positions in the blueprint number: 748,932
Identify the place value position of the digit 4 :
State the numerical value represented by the digit 7 :
BASE TEN BLUEPRINT • TOPIC 1 SERIES Page 1 of 1
Million Maker Answer Key Base Ten Blueprint • Lesson 1-1
Million Maker
enVision Math Grade 4 • IXL: 4R6, 7WT, 9DJ
Name TEACHER ANSWER KEY
Date CLASSROOM USE
Teacher Reference
Blueprint Specifications: Number Forms
Standard Form 342,109
Written with digits and commas separating periods.
Expanded Form 300k + 40k + 2k + 100 + 9
Sum of the values of each digit.
Word Form Three hundred forty-two thousand, one hundred nine
1
Standard to Word Form
10 pts total
Write each multi-digit number in written word form.
A) 45,203
Forty-five thousand, two hundred three
Check spelling of forty (not fourty) and hyphenation.
B) 607,980
Six hundred seven thousand, nine hundred eighty
Verify "thousand" is placed after the seven.
2
Word to Standard Form
10 pts total
Write the correct standard form using commas correctly.
A) Twelve thousand, eight hundred forty-seven
12,847
Verify correct comma placement.
B) Five hundred four thousand, twenty-two
504,022
Check the placeholder zero in hundreds place.
3
Standard to Expanded Form
10 pts total
Decompose the following numbers into their expanded place values.
A) 391,045
300,000 + 90,000 + 1,000 + 40 + 5
Wait for zero value in hundreds place to be skipped.
B) 805,670
800,000 + 5,000 + 600 + 70
Verify that 10k place and ones place are not written.
4
Analyzing Place & Value
10 pts total
Analyze digit positions in the blueprint number: 748,932
Identify the place value position of the digit 4 :
Ten-thousands place
Must identify place, not value.
State the numerical value represented by the digit 7 :
700,000 (or Seven hundred thousand)
Must give the full numerical value.
BASE TEN BLUEPRINT • TOPIC 1 SERIES TEACHER KEY • PAGE 1 OF 1
Tenfold Power Worksheet Base Ten Blueprint • Lesson 1-2
Tenfold Power
enVision Math Grade 4 • IXL: YAV, 6Y2
Name
Date
STUDENT SHEET
Blueprint Specifications: The 10x Scaling Rule
In a multi-digit number, a digit in one place represents 10 times what it represents in the place to its right.
Ten-Thousands
30,000
← ×10 ←
Thousands
3,000
← ×10 ←
Hundreds
300
1
Completing Place Relationships
Fill in the blanks to complete the multiplicative relationships.
A) A digit in the hundreds place is 10 times the value of the same digit in the place.
B) A digit in the thousands place is 10 times the value of the same digit in the place.
2
Comparing Digit Values
Look at the values of the highlighted digits in each pair of numbers.
A) Compare the value of the 5 in 540 to the 5 in 5,400.
B) Compare the value of the 8 in 80,000 to the 8 in 8,000.
3
Architect's Scale Riddle
Use your understanding of 10x place relationships to solve the problem.
An architect's blueprinted blueprint shows a luxury tower that uses 6,000 glass panes. A master warehouse holds a different blueprint design using 60,000 glass panes. Describe how the value of the digit 6 in both amounts compares.
4
Calculating Shifts
Fill in the correct numeric answers to satisfy the scaling rules.
A) \( 400 \times 10 = \) B) \( 7,000 \times 10 = \)
C) 90,000 is 10 times as much as:
D) 200,000 is 10 times as much as:
BASE TEN BLUEPRINT • TOPIC 1 SERIES Page 1 of 1
Tenfold Power Answer Key Base Ten Blueprint • Lesson 1-2
Tenfold Power
enVision Math Grade 4 • IXL: YAV, 6Y2
Name TEACHER ANSWER KEY
Date CLASSROOM USE
Teacher Reference
Blueprint Specifications: The 10x Scaling Rule
In a multi-digit number, a digit in one place represents 10 times what it represents in the place to its right.
Ten-Thousands
30,000
← ×10 ←
Thousands
3,000
← ×10 ←
Hundreds
300
1
Completing Place Relationships
10 pts total
Fill in the blanks to complete the multiplicative relationships.
A) A digit in the hundreds place is 10 times the value of the same digit in the tens place.
B) A digit in the thousands place is 10 times the value of the same digit in the hundreds place.
2
Comparing Digit Values
10 pts total
Look at the values of the highlighted digits in each pair of numbers.
A) Compare the value of the 5 in 540 to the 5 in 5,400.
The 5 in 5,400 (5,000) is 10 times larger than the 5 in 540 (500).
B) Compare the value of the 8 in 80,000 to the 8 in 8,000.
The 8 in 80,000 (80,000) is 10 times larger than the 8 in 8,000 (8,000).
3
Architect's Scale Riddle
10 pts total
Use your understanding of 10x place relationships to solve the problem.
An architect's blueprinted blueprint shows a luxury tower that uses 6,000 glass panes. A master warehouse holds a different blueprint design using 60,000 glass panes. Describe how the value of the digit 6 in both amounts compares.
The digit 6 in 60,000 represents 60,000 (ten-thousands place). The digit 6 in 6,000 represents 6,000 (thousands place). Therefore, the value of 6 in 60,000 is 10 times larger than the value of 6 in 6,000. (\( 6,000 \times 10 = 60,000 \))
4
Calculating Shifts
10 pts total
Fill in the correct numeric answers to satisfy the scaling rules.
A) \( 400 \times 10 = \) 4,000 B) \( 7,000 \times 10 = \) 70,000
C) 90,000 is 10 times as much as: 9,000 D) 200,000 is 10 times as much as:
Number Clash Worksheet Base Ten Blueprint • Lesson 1-3
Number Clash
enVision Math Grade 4 • IXL: USN, QV7
Name
Date
STUDENT SHEET
Blueprint Specifications: Alignment Comparison
To compare large numbers, align them by their place values and compare starting from the greatest place value (left to right).
Stack & Compare
4 2 5 , 9 0 1
4 3 1 , 0 2 2
→
The hundred-thousands place digits are the same (\(4 = 4\)). Compare the ten-thousands place: \( 2 < 3 \). Therefore, 425,901 < 431,022 .
1
Comparing Numbers
Write < , > , or = in the circle to make each statement true.
34,519
34,591
105,420
104,999
890,132
890,132
2
Ordering Alignments
Order the following numbers. Read instructions carefully!
A) Least to Greatest: 12,509 • 12,059 • 12,950
B) Greatest to Least: 542,019 • 542,109 • 540,299
3
Completing Inequalities
Find all possible whole number digits (0-9) that make each comparison statement true.
A) \( 74\underline{\quad},203 > 746,801 \)
B) \( 3\underline{\quad}1,450 < 341,900 \)
4
Scale Measurement Data
Compare real-world measurements using comparison operators.
An engineering team records the weight of two bridge girders. Bridge Girder A weighs 314,905 pounds, and Bridge Girder B weighs 314,095 pounds. Write a comparison statement using \( < \) or \( > \) to compare the girder weights. Which girder is heavier?
BASE TEN BLUEPRINT • TOPIC 1 SERIES Page 1 of 1
Number Clash Answer Key Base Ten Blueprint • Lesson 1-3
Number Clash
enVision Math Grade 4 • IXL: USN, QV7
Name TEACHER ANSWER KEY
Date CLASSROOM USE
Teacher Reference
Blueprint Specifications: Alignment Comparison
To compare large numbers, align them by their place values and compare starting from the greatest place value .
Stack & Compare
4 2 5 , 9 0 1
4 3 1 , 0 2 2
→
The hundred-thousands place digits are the same (\(4 = 4\)). Compare the ten-thousands place: \( 2 < 3 \). Therefore, 425,901 < 431,022 .
1
Comparing Numbers
10 pts total
Write < , > , or = in the circle to make each statement true.
34,519
<
34,591
105,420
>
104,999
890,132
=
890,132
2
Ordering Alignments
10 pts total
Order the following numbers. Read instructions carefully!
A) Least to Greatest: 12,509 • 12,059 • 12,950
12,059 < 12,509 < 12,950
B) Greatest to Least: 542,019 • 542,109 • 540,299
542,109 > 542,019 > 540,299
3
Completing Inequalities
10 pts total
Find all possible whole number digits (0-9) that make each comparison statement true.
A) \( 74\underline{\quad},203 > 746,801 \)
Digits: 7, 8, 9
Since \(7 > 6\), digits 7, 8, 9 make it true. (6 is invalid because \(203 < 801\)).
B) \( 3\underline{\quad}1,450 < 341,900 \)
Digits: 0, 1, 2, 3, 4
If the digit is 4, \(341,450 < 341,900\) is true (\(450 < 900\)).
4
Scale Measurement Data
10 pts total
Compare real-world measurements using comparison operators.
An engineering team records the weight of two bridge girders. Bridge Girder A weighs 314,905 pounds, and Bridge Girder B weighs 314,095 pounds. Write a comparison statement using \( < \) or \( > \) to compare the girder weights. Which girder is heavier?
Comparison: 314,905 > 314,095
BASE TEN BLUEPRINT • TOPIC 1 SERIES TEACHER KEY • PAGE 1 OF 1
Rounding Target Worksheet Base Ten Blueprint • Lesson 1-4
Rounding Target
enVision Math Grade 4 • IXL: CT2
Name
Date
STUDENT SHEET
Blueprint Specifications: Vertical Number Lines
Use a vertical number line to find which benchmark value a number is closest to. The midpoint shows the exact halfway mark.
50,000 (Upper) 45,000 (Midpoint) 40,000 (Lower)
To round 42,600 to the nearest ten-thousand, place it on the line. Since 42,600 is below the midpoint, it rounds down to 40,000 .
1
Rounding on Vertical Lines
Fill in the missing benchmark values and plot the number to round. Write the rounded value.
Round 83,400 to the nearest ten-thousand:
Rounded:
90,000 85,000 80,000
Round 276,190 to the nearest ten-thousand:
Rounded:
280,000 275,000 270,000
2
Standard Rounding Rules
Round the base blueprint number to the indicated place values.
Base Blueprint: 451,892
Nearest Hundred:
Nearest Thousand:
Base Blueprint: 608,124
Nearest Ten-Thousand:
Nearest Hundred-Thousand:
3
Target Matching
Analyze potential values that round to a specific design target.
Which numbers round to 300,000 when rounded to the nearest hundred-thousand? (Select all that apply)
342,095
289,112
354,200
249,000
Write the smallest and largest whole numbers that round to 45,000 when rounded to the nearest thousand:
Smallest Whole Number:
Largest Whole Number:
4
Site Plan Approvals
Solve the rounding word problem with explanation.
A county surveyor reports that a major freeway segment measures 147,562 feet. A structural report states that the project can round this distance to the nearest thousand. What is the rounded distance? Write down your rounding rule explanation.
Rounded Distance:
BASE TEN BLUEPRINT • TOPIC 1 SERIES Page 1 of 1
Rounding Target Answer Key Base Ten Blueprint • Lesson 1-4
Rounding Target
enVision Math Grade 4 • IXL: CT2
Name TEACHER ANSWER KEY
Date CLASSROOM USE
Teacher Reference
Blueprint Specifications: Vertical Number Lines
Use a vertical number line to find which benchmark value a number is closest to. The midpoint shows the exact halfway mark.
50,000 (Upper) 45,000 (Midpoint) 40,000 (Lower)
To round 42,600 to nearest ten-thousand: place on line. Since 42,600 is below midpoint, it rounds down to 40,000 .
1
Rounding on Vertical Lines
10 pts total
Round 83,400 to nearest 10k:
Rounded: 80,000
90k 85k 80k
Round 276,190 to nearest 10k:
Rounded: 280,000
280k 275k 270k
2
Standard Rounding Rules
10 pts total
Base Blueprint: 451,892
Nearest Hundred: 451,900
Nearest Thousand: 452,000
Base Blueprint: 608,124
Nearest Ten-Thousand: 610,000
Nearest Hundred-Thousand: 600,000
3
Target Matching
10 pts total
Which round to 300,000?
X
342,095
X
289,112
354,200
249,000
Smallest & largest rounding to 45,000:
Smallest Whole No: 44,500
Largest Whole No: 45,499
4
Site Plan Approvals
10 pts total
Freeway segment measures 147,562 feet. Round to the nearest thousand and explain your rule.
Rounded: 148,000 feet
BASE TEN BLUEPRINT • TOPIC 1 SERIES TEACHER KEY • PAGE 1 OF 1
Math Logic Worksheet Base Ten Blueprint • Lesson 1-5
Math Logic
enVision Math Grade 4 • IXL: EFV
Name
Date
STUDENT SHEET
Blueprint Specifications: Constructing Arguments
A mathematical argument must be built using claims , evidence (place value facts, computations), and reasoning . Always state why a mathematical rule applies.
1. Make a Claim
State your mathematical conclusion clearly.
2. Provide Evidence
Show numbers, expanded form, or place value columns.
3. Explain Reasoning
Connect evidence to your claim with logical rules.
1
Critique the Reasoning
Analyze the fictional student claim below and explain why they are mathematically incorrect.
Liam says: "45,200 is larger than 452,000 because 45,200 has more zeros at the end." Is Liam correct? Critique his argument.
2
Constructing a Tenfold Argument
Use mathematical evidence to prove or disprove the relationship.
Is the value of the digit 3 in the number 3,450 ten times larger than the value of the digit 3 in 4,350 ? Construct a thorough argument.
3
Analyzing Boundary Claims
Evaluate the truth of the boundary statement and justify your response.
True or False: "If you add exactly 1 to the greatest five-digit whole number, you will produce the smallest six-digit whole number." Prove your claim.
4
The Blueprint Enigma
Design a number that fits all the specifications, then prove that your solution is correct.
Specs: twice the tens digit.
Your Number:
Construct an argument proving your number works:
BASE TEN BLUEPRINT • TOPIC 1 SERIES Page 1 of 1
Math Logic Answer Key Base Ten Blueprint • Lesson 1-5
Math Logic
enVision Math Grade 4 • IXL: EFV
Name TEACHER KEY
Date CLASSROOM USE
Teacher Reference
Blueprint Specifications: Constructing Arguments
A mathematical argument must be built using claims , evidence (place value facts, computations), and reasoning .
1. Make a Claim
State your mathematical conclusion clearly.
2. Provide Evidence
Show numbers, expanded form, or columns.
3. Explain Reasoning
Connect evidence to claim with logical rules.
1
Critique the Reasoning
10 pts total
Liam says: "45,200 is larger than 452,000 because 45,200 has more zeros at the end." Is Liam correct? Critique his argument.
Liam is incorrect. The value is determined by its greatest place value. \( 452,000 \) has 4 hundred-thousands, whereas \( 45,200 \) has only 4 ten-thousands. Since \( 400k > 40k \), \( 452,000 \) is larger.
2
Constructing a Tenfold Argument
10 pts total
Is the value of the digit 3 in the number 3,450 ten times larger than the value of the digit 3 in 4,350 ?
Yes. In \( 3,450 \), the 3 is in the thousands place representing \( 3,000 \). In \( 4,350 \), the 3 is in the hundreds place representing \( 300 \). Since \( 300 \times 10 = 3,000 \), the value in \( 3,450 \) is 10 times larger.
3
Analyzing Boundary Claims
10 pts total
True or False: "If you add exactly 1 to the greatest five-digit whole number, you will produce the smallest six-digit whole number."
True. The greatest 5-digit number is \( 99,999 \). If you calculate \( 99,999 + 1 \), the sum is \( 100,000 \), which is indeed the smallest possible 6-digit whole number.
4
The Blueprint Enigma
10 pts total
Specs:
Your Number: 12,842
Construct an argument proving your number works:
\( 12,842 \) is between \( 12k \) and \( 13k \). The hundreds (8) is twice tens (4) (\(4 \times 2 = 8\)). The ones (2) and thousands (2) are identical.
BASE TEN BLUEPRINT • TOPIC 1 SERIES TEACHER KEY • PAGE 1 OF 1
Place Value Anchor Chart Base Ten Blueprint • Student Reference
Place Value Anchor
Topic 1 Concept Cheat Sheet • enVision Math Grade 4
Reference Chart
1. Place Value Periods Chart (Through One Million)
Millions Period Thousands Period Ones Period Millions Hundred-Thousands Ten-Thousands --- --- --- 1 0 0 \(1,000,000\) \(100,000\) \(10,000\)
* Notice how commas separate the Periods: 1,000,000 has one comma after Millions, and one after Thousands.
2. Three Forms of a Number
Standard Form
408,321
Digits only, aligned in groups of three separated by commas.
Expanded Form
400,000 + 8,000 + 300 + 20 + 1
Shows sum of place values. Placeholder zeros (like the 0 in ten-thousands) are left out.
Word Form
Four hundred eight thousand, three hundred twenty-one
Reads period by period. Hyphenate numbers like "twenty-one".
3. Multiplicative Shifts (The 10x Rule)
Shift Left → Multiply by 10
Moving a digit one space to the left increases its value by exactly 10 times .
\( \times 10 \)
Example Case
Value of 5 in 500 ⇒ 500
4. Rounding Specifications (Vertical Number Line Method)
Upper Benchmark (Rounds UP) Midpoint (Rounds UP) Lower Benchmark (Rounds DOWN)
Step-by-Step Rounding: 1. Draw a vertical line with Lower and Upper benchmarks.on or above the Midpoint, round UP . If it is below , round DOWN .
BASE TEN BLUEPRINT • TOPIC 1 SERIES ANCHOR CHART • PAGE 1 OF 1
Topic One Showdown Base Ten Blueprint • Unit Assessment
Topic One Showdown
Topic 1 Cumulative Test Review • enVision Math Grade 4
Name
Date
TEST REVIEW
1
Number Forms Blueprint
Perform the conversions for standard and word forms.
A) Standard to Expanded: 504,230
B) Word to Standard: "Three hundred twelve thousand, forty"
2
Tenfold Power Shift
Explain the relationship between digit positions.
A) The value of the 7 in 72,000 is how many times as large as the 7 in 57,200 ?
B) Shift the digit 4 in \( 1,400 \) so its value is multiplied by 10. Write the new number:
3
Measurement Comparisons
Compare values using relational operators.
483,120
483,210
92,045
92,045
Arrange in order from Greatest to Least : 304k • 340k • 300,999
4
Rounding Targets
Apply rounding rules to any place value position.
Round 34,512 to nearest hundred:
Round 895,124 to nearest ten-thousand:
5
Constructing Arguments
Critique the reasoning of the claim and construct your counterargument.
Chloe claims: "Adding 10 to any multi-digit whole number will always and only change the digit in the tens place." Is she correct? Prove your answer with a counterexample and explanation.
BASE TEN BLUEPRINT • TOPIC 1 ASSESSMENT SERIES Page 1 of 1
Topic One Showdown Key Base Ten Blueprint • Unit Assessment
Topic One Showdown
Topic 1 Cumulative Test Review • enVision Math Grade 4
Name TEACHER ANSWER KEY
Date CLASSROOM USE
Teacher Reference
1
Number Forms Blueprint
20 pts total
A) Standard to Expanded: 504,230
500,000 + 4,000 + 200 + 30
B) Word to Standard: "Three hundred twelve thousand, forty"
312,040
2
Tenfold Power Shift
20 pts total
A) The value of 7 in 72,000 is how many times as large as the 7 in 57,200 ?
10 times as large
B) Shift the digit 4 in \( 1,400 \) so its value is multiplied by 10. Write the new number:
14,000 (or 4,000)
3
Measurement Comparisons
20 pts total
483,120
<
483,210
92,045
=
92,045
Greatest to Least: 304k • 340k • 300,999
340,000 > 304,000 > 300,999
4
Rounding Targets
20 pts total
Round 34,512 to nearest hundred:
34,500
Round 895,124 to nearest ten-thousand:
900,000
5
Constructing Arguments
20 pts total
Chloe claims: "Adding 10 to any multi-digit whole number will always and only change the digit in the tens place." Is she correct? Prove your answer with a counterexample and explanation.
Chloe is incorrect. While adding 10 usually affects only the tens place, if the tens place contains a 9, a regrouping (carryover) occurs, changing the hundreds place as well. For example, \( 192 + 10 = 202 \) (both tens and hundreds places changed).
BASE TEN BLUEPRINT • TOPIC 1 ASSESSMENT SERIES TEACHER KEY • PAGE 1 OF 1
