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Lesson
1
Number and Operations in Base Ten
Name
Use Base Ten Blocks to model the division sentence and the sentence for
the related division by a multiple of 10. Write each division problem.
1.
______ ÷ ______ = ______
______ ÷ ______ = ______
Using Base Ten Blocks, model each division problem. Then sketch your
model for the division by a multiple of 10. Write each division sentence.
2. 21 ÷ 3
21 ÷ 3 = _______________
________ ÷ 30 = ________
3. 32 ÷ 4
32 ÷ 4 = _______________
________ ÷ 40 = ________
4. 18 ÷ 2 = ________
180 ÷ 20 = _____
40
Hands-On Standards, Common Core Edition
5. 35 ÷ 5 = _________
350 ÷ 50 = _____
6. 27 ÷ 3 = _________
270 ÷ 30 = _____
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Find each quotient.
Name
Challenge! Explain why you can use a simpler problem to find
the quotient when both the dividend and the divisor are multiples
of 10.
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Hands-On Standards, Common Core Edition
41
Lesson
2
Number and Operations in Base Ten
Name
Use Base Ten Blocks to build each number. Write the number
in expanded form and standard form.
2.
1.
______ + ______ + _____ + _____
______ + ______ + _____ + _____
______________
______________
Build the number using Base Ten Blocks. Then sketch the model for the
number. Write the number in standard form.
3. six thousand, three hundred twenty-one
__________________
Write each number in the forms named.
4. 3,805
expanded form _________ + _________ + _________ + _________
word form _______________________________________________
5. 9,268
expanded form _________ + _________ + _________ + _________
word form _______________________________________________
expanded form _________ + _________ + _________ + _________
standard form __________________
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Hands-On Standards, Common Core Edition
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6. one thousand, seven hundred fifty-three
Name
Challenge! Explain why you write a 0 in a place value while
changing a number given as words into a number written in
standard form. Draw a model to help.
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Hands-On Standards, Common Core Edition
45
Lesson
3
Number and Operations in Base Ten
Name
Use Base Ten Blocks to build each number. Write an inequality
using <, =, or > that compares the numbers.
1.
__________________
__________________
2.
__________________
__________________
Use Base Ten Blocks to build the numbers. Sketch the models in a PlaceValue Chart. Complete the inequality.
3. 7,479 and 7,794
Thousands
Hundreds
Tens
Ones
__________________
_________________
Use <, =, or > to complete each inequality.
6,004
5. 1,087
7. 3,181
2,081
8. 863
Hands-On Standards, Common Core Edition
1,078
836
6. 4,653
5,643
9. 9,104
9,140
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48
4. 4,116
Name
Challenge! Explain why when comparing two numbers, you
work from left to right. Draw a picture to help.
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Hands-On Standards, Common Core Edition
49
Lesson
4
Name
Number and Operations in Base Ten
Use Base Ten Blocks to build each expression. Write
the multiplication expression and product.
1.
3.
2.
_____ × _____ =_____
_____ × _____ =_____
_____ × _____ =_____
Build each problem using Base Ten Blocks. Sketch the model in a
Place-Value Chart. Regroup as needed. Write the product.
4. 245 × 3 = _______________
Thousands
Hundreds
Tens
Ones
Tens
Ones
5. 2,124 × 2 = _______________
Thousands
Hundreds
52
6. 38 × 5 = _______
7. 16 × 4 = _______
8. 221 × 3 = ______
9. 1,560 × 2 = ____
10. 132 × 6 = ______
11. 117 × 4 = ______
Hands-On Standards, Common Core Edition
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Find each product.
Name
Challenge! How many of each Base Ten Block do you have
before regrouping when you multiply 46 × 3? Explain how to
regroup to write the product. Draw a picture to help.
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Hands-On Standards, Common Core Edition
53
Lesson
5
Number and Operations in Base Ten
Name
Use Base Ten Blocks to build each model. Add blocks
to complete the product. Complete the grid. Write each
multiplication sentence.
2.
1.
________ × ________ = __________
________ × ________ = __________
Build each problem and product using Base Ten Blocks.
Then sketch the model. Write the product.
3. 32 × 12 = ___________
4. 45 × 17 = ___________
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5. 52 × 11 = _________
6. 38 × 17 = _________
8. 22 × 34 = _________
9. 16 × 19 = _________ 10. 41 × 14 = ________
Hands-On Standards, Common Core Edition
7. 24 × 21 = ________
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Find each product.
Name
Challenge! Name the Base Ten Blocks you would use to build
the model for Problem 9. Explain the exchanges you made to
name the product. Draw a picture to help.
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Hands-On Standards, Common Core Edition
57
Lesson
6
Name
Number and Operations in Base Ten
Use Base Ten Blocks to build each model. Exchange
and group the blocks to find each quotient.
Complete each division sentence.
2.
1.
÷3
÷9
________ ÷ ________ = ________
________ ÷ ________ = ________
Name any remainder: ______
Name any remainder: ______
Using Base Ten Blocks, build the numbers. Then sketch the
model. Find each quotient. Name any remainder.
3. 75 ÷ 5
4. 84 ÷ 5
Quotient ________________
Quotient ________________
Remainder: ______________
Remainder: ______________
Find each quotient. Name any remainder.
6. 65 ÷ 4 = _________
7. 72 ÷ 6 = ________
Remainder: ______
Remainder: ______
Remainder: _____
8. 32 ÷ 3 = _________
9. 48 ÷ 7 = _________
10. 78 ÷ 8 = ________
Remainder: ______
Remainder: ______
Remainder: _______
Hands-On Standards, Common Core Edition
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60
5. 44 ÷ 4 = _________
Name
Challenge! How can you use a remainder to know if your
quotient could be a greater number? Draw a picture to help.
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Hands-On Standards, Common Core Edition
61