UNIT 2 • EVERYTHING BASED ON TENS
Overview
Instruction
139
© 2010 Walch Education
North Carolina Foundations of Algebra, Version 2.0
UNIT 2 • EVERYTHING BASED ON TENS
Overview
Instruction
140
North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
UNIT 2 • EVERYTHING BASED ON TENS
Overview
Instruction
141
© 2010 Walch Education
North Carolina Foundations of Algebra, Version 2.0
UNIT 2 • EVERYTHING BASED ON TENS
Overview
Instruction
142
North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
NAME:
UNIT 4 • SIMPLIFYING NUMERICAL EXPRESSIONS
Day 33
Day 33 Practice
Unit Size
Use the first blank to organize your money from greatest unit size to smallest unit size or to combine like
unit sizes. Use the second blank to write in simplest terms.
Example 1
3 one dollar bills + 4 one dollar bills =
ONEDOLLARBILLSDOLLARS
I had like unit
sizes, so I combined.
I did not have like unit
sizes, so I ordered from
greatest to least units.
Example 2
3 one dollar bills + 4 hundred dollar bills =
Simplest form of
my money. This is how I
would say the number and
write the number.
HUNDREDSANDONESDOLLARS
1. 5 one dollar bills + 2 ten dollar bills =
=
2. 5 ten dollar bills + 2 ten dollar bills =
=
3. 5 hundred dollar bills + 2 ten dollar bills =
=
4. 7 one dollar bills + 7 ten dollar bills =
=
5. 7 ten dollar bills + 7 ten dollar bills =
=
continued
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North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
NAME:
UNIT 4 • SIMPLIFYING NUMERICAL EXPRESSIONS
Day 33
6. 7 hundred dollar bills + 7 one dollar bills =
=
7. 6 one dollar bills + 3 ten dollar bills =
=
8. 6 ten dollar bills + 3 ten dollar bills =
=
9. 6 hundred dollar bills + 3 one dollar bills =
=
10. 4 one dollar bills + 5 ten dollar bills =
=
11. 4 ten dollar bills + 5 ten dollar bills =
=
12. 4 hundred dollar bills + 5 one dollar bills =
=
13. 2 one dollar bills + 1 ten dollar bill =
=
14. 2 ten dollar bills + 1 ten dollar bill =
=
15. 2 hundred dollar bills + 1 one dollar bill =
=
487
© 2010 Walch Education
North Carolina Foundations of Algebra, Version 2.0
NAME:
UNIT 2 • EVERYTHING BASED ON TENS
Day 14
Day 14 Practice
Show Me the Money
1. Think about how much 102 would be. Draw an array/grid to show this.
2. Can you show 102 with money? Draw a picture below.
3. Think about how much 103 would be. Draw a cube to show this.
4. Can you show 103 with money? Draw it.
continued
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North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
UNIT 4 • SIMPLIFYING NUMERICAL EXPRESSIONS
Day 33
Instruction
Pocket Change
Add the change in the pockets.
Example
Pocket 1
4 pennies and 3 dimes
Pocket 2
3 dimes and 4 dollar bills
493
© 2010 Walch Education
North Carolina Foundations of Algebra, Version 2.0
NAME:
UNIT 4 • SIMPLIFYING NUMERICAL EXPRESSIONS
Day 37
Day 37 Guided Practice
Powers of 10 and Money
Multiply. Write your answer on the line.
1.
three pennies
ten times
.03 • 10 =
2.
three dimes
ten times
.30 • 10 =
3. Picture of 3 one dollars
three one dollar
bills ten times
3.00 • 10 =
4.
three ten dollar
bills ten times
30.00 • 10 =
5.
one quarter ten
times
.25 • 10 =
6.
two dollars and
fifty cents ten
times
2.50 • 10 =
continued
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North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
© 2010 Walch Education
Column 2
.02
.2
.20
.20
2
.200
20
.2000
200 .20000
2000 .200000
Column 1
.200000
.20000
.2000
.200
.20
.2
Column 3
2.0000
20.000
200.00
2000.0
20000.
20000
Column 4
Look at the placement of the decimal point in each column. What difference does the decimal point make, if any, in the value of each
number?
What Did We Do to 2?
Day 10 Handout
NAME:
UNIT 2 • EVERYTHING BASED ON TENS
Day 10
North Carolina Foundations of Algebra, Version 2.0
153
NAME:
UNIT 2 • EVERYTHING BASED ON TENS
Day 17
Round 7
Score
Player 1 has $300.
Player 1
Player 2
Player 1
Player 2
Player 1
Player 2
Player 1
Player 2
Player 1
Player 2
Player 1
Player 2
Player 2 may have 10% of Player 1’s money.
Player 2 may have $
.
Round 8
Player 1 has $300.
Player 2 may have 50% of Player 1’s money.
Player 2 may have $
.
Round 9
Player 1 has $400.
Player 2 may have 60% of Player 1’s money.
Player 2 may have $
.
Switch roles with your partner.
Round 10
Player 2 has $100.
Player 1 may have 90% of Player 2’s money.
Player 1 may have $
.
Round 11
Player 2 has $200.
Player 1 may have 70% of Player 2’s money.
Player 1 may have $
.
Round 12
Player 2 has $300.
Player 1 may have 100% of Player 2’s money.
Player 1 may have $
.
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© 2010 Walch Education
North Carolina Foundations of Algebra, Version 2.0
NAME:
UNIT 2 • EVERYTHING BASED ON TENS
Day 17
Day 17 Scoresheet
Score Sheet for The Money Game I
Round 1
Score
Player 1 has $400.
Player 1
Player 2
Player 1
Player 2
Player 1
Player 2
Player 1
Player 2
Player 1
Player 2
Player 1
Player 2
Player 2 may have 10% of Player 1’s money.
Player 2 may have $
.
Round 2
Player 1 has $300.
Player 2 may have 10% of Player 1’s money.
Player 2 may have $
.
Round 3
Player 1 has $400.
Player 2 may have 30% of Player 1’s money.
Player 2 may have $
.
Switch roles with your partner.
Round 4
Player 2 has $200.
Player 1 may have 10% of Player 2’s money.
Player 1 may have $
.
Round 5
Player 2 has $400.
Player 1 may have 40% of Player 2’s money.
Player 1 may have $
.
Round 6
Player 2 has $300.
Player 1 may have 20% of Player 2’s money.
Player 1 may have $
.
Switch roles with your partner.
continued
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North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
NAME:
UNIT 2 • EVERYTHING BASED ON TENS
Day 17
Day 17 Practice
Percent Practice I
Answer each of the following questions and show your work. Remember: Percent means “out of 100.”
1. What is 20% of $200?
2. What is 45% of $200?
3. What is 30% of $450?
4. What is 75% of $300?
continued
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North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
NAME:
6•7
112
70 + 42
(10 + 6) • 7
16 • 7
10 • 7
7
10
Arrays and the Distributive Property
Day 12 Handout
6
UNIT 2 • EVERYTHING BASED ON TENS
Day 12
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North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
NAME:
UNIT 2 • EVERYTHING BASED ON TENS
Day 12
Day 12 Practice
Distributive Property Word Problems
Solve the multiplication problems below by using the distributive property.
1. Amanda and Jenn each have $18.
How much do they have altogether?
•
(
+
)•
+
2. Shawaun and his 4 brothers went
fishing. They each caught 14 fish. How
many fish did they catch as a family?
•
(
+
)•
+
3. Anne, Ted, Tim, and Maggie each
donated $15 for a charity event.
How much money did they donate
altogether?
•
(
+
)•
+
continued
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© 2010 Walch Education
North Carolina Foundations of Algebra, Version 2.0
NAME:
UNIT 2 • EVERYTHING BASED ON TENS
Day 10
6. 9 + 7
Makes 10
+
Left over
=
7. 7 + 5
Makes 10
+
Left over
=
8. 8 + 6
Makes 10
+
Left over
=
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North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
NAME:
UNIT 3 • WORKING WITH INTEGERS
Day 29
Day 29 Practice
Identity Property of Addition III
Use the associative property, opposite pairs, and the identity property to add these numbers in your head.
Do not use a calculator.
1. 6 + 5 – 5 =
2. –9 + 9 + –4 =
3. 6 + –3 + –3 + 5 =
4. 4 + –2 + –2 + 7 =
5. –7 + 4 + 3 + –2 =
6. 5 + –2 + –3 + 8 =
7. –3 + 1 + 4 + –5 =
8. 6 + 3 + 6 + –9 =
9. 3 + –4 + –2 + 6 =
continued
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North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
NAME:
UNIT 3 • WORKING WITH INTEGERS
Day 26
Day 26 Practice
Associative Property and Addition
Complete the addition problems below using the associative property to reach zero. Fill in the charts for
each problem.
1. –4 + 9 = ________________________
3. –2 + 11 = ________________________
–4 + 9
–2 + 11
–4 + ( ______ + ______ )
–2 + ( ______ + ______ )
(–4 + ______ ) + ______
(–2 + ______ ) + ______
(0) + ______
(0) + ______
______
______
2. –6 + 8 = ________________________
4. –8 + 12 = ________________________
–6 + 8
–8 + 12
–6 + ( ______ + ______ )
–8 + ( ______ + ______ )
(–6 + ______ ) + ______
(–8 + ______ ) + ______
(0) + ______
(0) + ______
______
______
continued
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North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
NAME:
UNIT 1 • DIFFERENT FORMS OF NUMBERS
Day 3
5. It costs $0.12 to copy 1 page in color. Predict the cost of copying 3 pages in color.
6. A tiger walks 100 yards in 1 minute. Predict how far the tiger will walk in 6 minutes.
7. A person can type 24 words in a minute. Predict how many words this same person can type in
4 minutes.
8. A car travels 19 miles using 1 gallon of gas. Predict how far the car will travel on 4 gallons of gas.
(continued)
continued
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© 2010 Walch Education
North Carolina Foundations of Algebra, Version 2.0
NAME:
UNIT 1 • DIFFERENT FORMS OF NUMBERS
Day 3
Day 3 Practice
Making Predictions I
Read each scenario and make the prediction that follows. Show your work.
1. If it takes you 12 minutes to walk a mile, predict how long it would take to walk 2
1
miles.
2
2. It takes 7 minutes to pick a pint of blueberries. Predict how long it would take in seconds to pick
1
a pint of blueberries.
2
3. It takes a clothes dryer 43 minutes to dry 1 load of laundry. Predict how long it will take to dry
4 loads of laundry.
4. A tire rotates once every 3 feet. Predict how far the same tire will travel if it rotates 5 times.
(continued)
continued
29
© 2010 Walch Education
North Carolina Foundations of Algebra, Version 2.0
NAME:
UNIT 1 • DIFFERENT FORMS OF NUMBERS
Day 3
9. It takes 24 hours to fill a pool with water. Predict how long it will take to fill
1
of the pool.
2
10. It takes 1 hour to pave 6 feet of a new roadway. Predict how many feet of new roadway can be paved
in 8 hours.
11. It takes 60 seconds to sew 1 yard of cloth. Predict how many yards of cloth can be sewn in
15 minutes.
12. It takes a person 6 minutes to read a page in a book. How long does it take that same person to read
1
a page of the same book?
2
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North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
12
9
6
3
0
Conversion
North Carolina Foundations of Algebra, Version 2.0
0
1/2
1 foot
8 in.
9 in.
10 in.
7 in.
11 in.
6 in.
Measurement
Measurement
Circuit Board
Board
Circuit
0
5 in.
1 in.
4 in.
3 in.
2 in.
12
9
6
3
0
Conversion
0
1/2
1 foot
UNIT 1 • DIFFERENT FORMS OF NUMBERS
Day 6
Instruction
98
© 2010 Walch Education
UNIT 1 • DIFFERENT FORMS OF NUMBERS
Day 6
Instruction
Measurement Circuit Cards
1 foot
1 foot
1 foot
1 foot
1 foot
1 foot
1 foot
1 foot
91
© 2010 Walch Education
North Carolina Foundations of Algebra, Version 2.0
UNIT 1 • DIFFERENT FORMS OF NUMBERS
Day 6
Instruction
Measurement Conversion Cards
Move
Move
Move
Move back
forward backward forward
2 inches
2 inches
1 inch
1 inch
Move
Move
Move back
Move back
forward
forward
4 inches
3 inches
4
inches
3 inches
Move
Move
Move back
Move back
forward
forward
6 inches
5 inches
6 inches
5 inches
92
North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
UNIT 1 • DIFFERENT FORMS OF NUMBERS
Day 6
Instruction
Move
Move
Move back
Move back
forward
forward
8 inches
7 inches
8 inches
7 inches
Move
Move
Move back
Move back
forward
forward
10 inches
9 inches
10 inches
9 inches
Move
Move
Move back
Move back
forward
forward
12 inches
11 inches
12 inches
11 inches
93
© 2010 Walch Education
North Carolina Foundations of Algebra, Version 2.0
UNIT 1 • DIFFERENT FORMS OF NUMBERS
Day 6
Instruction
Move
Move back Move back Move back
forward
3 inches 2 inches
1 foot
1 foot
Move
Move
Move back
Move back
forward
forward
13 inches
1 foot
14 inches
13 inches
Move
Move
Move back
Move back
forward forward
2 feet
14 inches
18 inches 2 feet
94
North Carolina Foundations of Algebra, Version 2.0
© 2010 Walch Education
UNIT 1 • DIFFERENT FORMS OF NUMBERS
Day 6
Instruction
Measurement Advanced Conversion Cards
Move
Move
forward
1 of a
2
foot
forward
1 of a
3
foot
Move
forward
2 of a
12
foot
Move
back 1
6
of a foot
Move
forward
1 1 feet
2
Move
forward
4 of a
6
foot
Move
1
back
4
of a foot
Move
forward
3 of a
12
foot
Move
back 2
6
of a foot
Move
forward
3 of a
2
foot
Move
back 2
3
of a foot
Move
forward
3 of a
4
foot
95
© 2010 Walch Education
North Carolina Foundations of Algebra, Version 2.0
NAME:
UNIT 2 • EVERYTHING BASED ON TENS
Day 10
Day 10 Practice 2
Multiplying Money and Making Tens
Solve the problems below and write your answer on the line provided.
1. Start with seven $10 bills. What will you have if you multiply that by 10?
7 • 10 • 10 =
2. Start with three $1,000 bills. What if you needed to have this money in $100s instead of $1,000s?
How many $100s will you have?
• 100
3 • 1000 =
3. Start with five $100 bills. How much will you have if you multiply that by 10?
5 • 100 • 10 = 5 •
=
Use the graphic organizers to solve these problems. Decompose your second addend first to make a ten!
4. 6 + 9
5.
Makes 10
+
=
7+4
Makes 10
Left over
+
Left over
=
continued
155
© 2010 Walch Education
North Carolina Foundations of Algebra, Version 2.0