Post on 14-Aug-2020
transcript
North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education139
Instruction
UNIT 2 • EVERYTHING BASED ON TENSOverview
North Carolina Foundations of Algebra, Version 2.0140
© 2010 Walch Education
Instruction
UNIT 2 • EVERYTHING BASED ON TENSOverview
North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education141
Instruction
UNIT 2 • EVERYTHING BASED ON TENSOverview
North Carolina Foundations of Algebra, Version 2.0142
© 2010 Walch Education
Instruction
UNIT 2 • EVERYTHING BASED ON TENSOverview
UNIT 4 • SIMPLIFYING NUMERICAL EXPRESSIONSDay 33
NAME:
North Carolina Foundations of Algebra, Version 2.0486
© 2010 Walch Education
Day 33 Practice
Unit SizeUse 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 =
Example 2
3 one dollar bills + 4 hundred dollar bills =
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
I had like unit sizes, so I combined.
Simplest form of my money. This is how I
would say the number and write the number.
I did not have like unit sizes, so I ordered from greatest to least units.
UNIT 4 • SIMPLIFYING NUMERICAL EXPRESSIONSDay 33
NAME:
North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education487
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 = =
UNIT 2 • EVERYTHING BASED ON TENSDay 14
NAME:
North Carolina Foundations of Algebra, Version 2.0204
© 2010 Walch Education
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
UNIT 4 • SIMPLIFYING NUMERICAL EXPRESSIONSDay 33
North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education493
Instruction
Pocket ChangeAdd the change in the pockets.
Example
Pocket 1 Pocket 2
4 pennies and 3 dimes 3 dimes and 4 dollar bills
UNIT 4 • SIMPLIFYING NUMERICAL EXPRESSIONSDay 37
NAME:
North Carolina Foundations of Algebra, Version 2.0544
© 2010 Walch Education
Day 37 Guided Practice
Powers of 10 and MoneyMultiply. 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
UNIT 2 • EVERYTHING BASED ON TENSDay 10
NAME:
North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education153
Day
10 H
ando
ut
Wha
t Did
We
Do to
2?
Look
at t
he p
lace
men
t of t
he d
ecim
al p
oint
in e
ach
colu
mn.
Wha
t diff
eren
ce d
oes
the
deci
mal
poi
nt m
ake,
if a
ny, i
n th
e va
lue
of e
ach
num
ber?
Colu
mn
1Co
lum
n 2
Colu
mn
3Co
lum
n 4
.02
.2.2
0000
02.
0000
.20
.20
.200
0020
.000
2.2
00.2
000
200.
0020
.200
0.2
0020
00.0
200
.200
00.2
020
000.
2000
.200
000
.220
000
UNIT 2 • EVERYTHING BASED ON TENSDay 17
NAME:
North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education241
Round 7 Score
Player 1 has $300.
Player 2 may have 10% of Player 1’s money.
Player 2 may have $ .
Player 1 Player 2
Round 8
Player 1 has $300.
Player 2 may have 50% of Player 1’s money.
Player 2 may have $ .
Player 1 Player 2
Round 9
Player 1 has $400.
Player 2 may have 60% of Player 1’s money.
Player 2 may have $ .
Player 1 Player 2
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 $ .
Player 1 Player 2
Round 11
Player 2 has $200.
Player 1 may have 70% of Player 2’s money.
Player 1 may have $ .
Player 1 Player 2
Round 12
Player 2 has $300.
Player 1 may have 100% of Player 2’s money.
Player 1 may have $ .
Player 1 Player 2
UNIT 2 • EVERYTHING BASED ON TENSDay 17
NAME:
North Carolina Foundations of Algebra, Version 2.0240
© 2010 Walch Education
Day 17 Scoresheet
Score Sheet for The Money Game I
Round 1 Score
Player 1 has $400.
Player 2 may have 10% of Player 1’s money.
Player 2 may have $ .
Player 1 Player 2
Round 2
Player 1 has $300.
Player 2 may have 10% of Player 1’s money.
Player 2 may have $ .
Player 1 Player 2
Round 3
Player 1 has $400.
Player 2 may have 30% of Player 1’s money.
Player 2 may have $ .
Player 1 Player 2
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 $ .
Player 1 Player 2
Round 5
Player 2 has $400.
Player 1 may have 40% of Player 2’s money.
Player 1 may have $ .
Player 1 Player 2
Round 6
Player 2 has $300.
Player 1 may have 20% of Player 2’s money.
Player 1 may have $ .
Player 1 Player 2
Switch roles with your partner.
continued
UNIT 2 • EVERYTHING BASED ON TENSDay 17
NAME:
North Carolina Foundations of Algebra, Version 2.0242
© 2010 Walch Education
Day 17 Practice
Percent Practice IAnswer 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
UNIT 2 • EVERYTHING BASED ON TENSDay 12
NAME:
North Carolina Foundations of Algebra, Version 2.0176
© 2010 Walch Education
Day
12 H
ando
ut
Arra
ys a
nd th
e Di
strib
utiv
e Pr
oper
ty
16 •
7
(10
+ 6)
• 7
70 +
42
112
106
76
• 7
10 •
7
UNIT 2 • EVERYTHING BASED ON TENSDay 12
NAME:
North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education177
Day 12 Practice
Distributive Property Word ProblemsSolve 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
UNIT 2 • EVERYTHING BASED ON TENSDay 10
NAME:
North Carolina Foundations of Algebra, Version 2.0150
© 2010 Walch Education
6. 9 + 7
Makes 10 Left over
+ = 7. 7 + 5
Makes 10 Left over
+ =
8. 8 + 6
Makes 10 Left over
+ =
NAME:
North Carolina Foundations of Algebra, Version 2.0430
© 2010 Walch Education
UNIT 3 • WORKING WITH INTEGERSDay 29
Day 29 Practice
Identity Property of Addition IIIUse 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
NAME:
North Carolina Foundations of Algebra, Version 2.0388
© 2010 Walch Education
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
–4 + ( ______ + ______ )
(–4 + ______ ) + ______
(0) + ______
______
–2 + 11
–2 + ( ______ + ______ )
(–2 + ______ ) + ______
(0) + ______
______
2. –6 + 8 = ________________________ 4. –8 + 12 = ________________________
–6 + 8
–6 + ( ______ + ______ )
(–6 + ______ ) + ______
(0) + ______
______
–8 + 12
–8 + ( ______ + ______ )
(–8 + ______ ) + ______
(0) + ______
______
UNIT 3 • WORKING WITH INTEGERSDay 26
continued
NAME:
North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education33
UNIT 1 • DIFFERENT FORMS OF NUMBERSDay 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
NAME:
North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education29
Day 3 Practice
Making Predictions IRead 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 212
miles.
2. It takes 7 minutes to pick a pint of blueberries. Predict how long it would take in seconds to pick
12
a pint of blueberries.
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.
UNIT 1 • DIFFERENT FORMS OF NUMBERSDay 3
(continued)continued
NAME:
North Carolina Foundations of Algebra, Version 2.034
© 2010 Walch Education
9. It takes 24 hours to fill a pool with water. Predict how long it will take to fill 12
of the pool.
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
12
a page of the same book?
UNIT 1 • DIFFERENT FORMS OF NUMBERSDay 3
North Carolina Foundations of Algebra, Version 2.098
© 2010 Walch Education
Instruction
UNIT 1 • DIFFERENT FORMS OF NUMBERSDay 6
Mea
sure
men
t Ci
rcui
t Boa
rd
Conv
ersi
on
Conv
ersi
on
0
10 in
.
11 in
.1
in.
2 in
.
8 in
.4
in.
7 in
.5
in.
6 in
.
3 in
.9
in.
12 06
1 fo
ot 0
1/2
9 3
12 06
1 fo
ot 0
1/2
9 3
Mea
sure
men
t Ci
rcui
t Boa
rd
North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education91
Instruction
UNIT 1 • DIFFERENT FORMS OF NUMBERSDay 6
Measurement Circuit Cards
1 foot 1 foot 1 foot 1 foot
1 foot 1 foot 1 foot 1 foot
North Carolina Foundations of Algebra, Version 2.092
© 2010 Walch Education
Instruction
UNIT 1 • DIFFERENT FORMS OF NUMBERSDay 6
Measurement Conversion Cards
Move forward 1 inch
Move backward
1 inch
Move forward 2 inches
Move back 2 inches
Move forward 3 inches
Move back 3 inches
Move forward 4 inches
Move back 4 inches
Move forward 5 inches
Move back 5 inches
Move forward 6 inches
Move back 6 inches
North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education93
Instruction
UNIT 1 • DIFFERENT FORMS OF NUMBERSDay 6
Move forward 7 inches
Move back 7 inches
Move forward 8 inches
Move back 8 inches
Move forward 9 inches
Move back 9 inches
Move forward
10 inches
Move back 10 inches
Move forward
11 inches
Move back 11 inches
Move forward
12 inches
Move back 12 inches
North Carolina Foundations of Algebra, Version 2.094
© 2010 Walch Education
Instruction
UNIT 1 • DIFFERENT FORMS OF NUMBERSDay 6
Move forward 1 foot
Move back 3 inches
Move back 2 inches
Move back 1 foot
Move back 1 foot
Move forward
13 inches
Move back 13 inches
Move forward
14 inches
Move back 14 inches
Move forward
18 inches
Move forward 2 feet
Move back 2 feet
North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education95
Instruction
UNIT 1 • DIFFERENT FORMS OF NUMBERSDay 6
Measurement Advanced Conversion Cards
Move
forward 12 of a
foot
Move
forward 13 of a
foot
Move
back 14
of a foot
Move
forward 32 of a
foot
Move
forward 212 of a
foot
Move
forward
1 12 feet
Move
forward 312 of a
foot
Move
back 23
of a foot
Move
back 16
of a foot
Move
forward 46 of a
foot
Move
back 26
of a foot
Move
forward 34 of a
foot
UNIT 2 • EVERYTHING BASED ON TENSDay 10
NAME:
North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education155
Day 10 Practice 2
Multiplying Money and Making TensSolve 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?
3 • 1000 = • 100
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. 7 + 4
Makes 10 Left over
+ =
Makes 10 Left over
+ =
continued