UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra,...

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North Carolina Foundations of Algebra, Version 2.0 © 2010 Walch Education 139 Instruction UNIT 2 • EVERYTHING BASED ON TENS Overview

Transcript of UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra,...

Page 1: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education139

Instruction

UNIT 2 • EVERYTHING BASED ON TENSOverview

Page 2: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

North Carolina Foundations of Algebra, Version 2.0140

© 2010 Walch Education

Instruction

UNIT 2 • EVERYTHING BASED ON TENSOverview

Page 3: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education141

Instruction

UNIT 2 • EVERYTHING BASED ON TENSOverview

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North Carolina Foundations of Algebra, Version 2.0142

© 2010 Walch Education

Instruction

UNIT 2 • EVERYTHING BASED ON TENSOverview

Page 5: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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.

Page 6: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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 = =

Page 7: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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

Page 8: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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

Page 9: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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

Page 10: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

UNIT 2 • EVERYTHING BASED ON TENSDay 10

NAME:

North Carolina Foundations of Algebra, Version 2.0© 2010 Walch Education153

Day

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Page 11: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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

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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

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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

Page 14: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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

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e Di

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ty

16 •

7

(10

+ 6)

• 7

70 +

42

112

106

76

• 7

10 •

7

Page 15: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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

Page 16: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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

+ =

Page 17: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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

Page 18: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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

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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

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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

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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

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North Carolina Foundations of Algebra, Version 2.098

© 2010 Walch Education

Instruction

UNIT 1 • DIFFERENT FORMS OF NUMBERSDay 6

Mea

sure

men

t Ci

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rd

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on

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on

0

10 in

.

11 in

.1

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2 in

.

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7 in

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.

3 in

.9

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12 06

1 fo

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Page 23: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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

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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

Page 25: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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

Page 26: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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

Page 27: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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

Page 28: UNIT 2 • EVERYTHING BASED ON TENS Overview Instruction · North Carolina Foundations of Algebra, Version 2.0 140 © 2010 Walch Education Instruction UNIT 2 • EVERYTHING BASED

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