##### Document Text Contents

Page 1

The Critical Thinking Co.

E m p o w e r t h e m i n d !

The Critical Thinking Co.™The Critical Thinking Co.™The Critical Thinking Co.

E m p o w e r t h e m i n d !

The Critical Thinking Co.

E m p o w e r t h e m i n d !

The Critical Thinking Co.The Critical Thinking Co.™The Critical Thinking Co.™The Critical Thinking Co.

E m p o w e r t h e m i n d !

The Critical Thinking Co.

E m p o w e r t h e m i n d !

The Critical Thinking Co.

eBook

Sampler

1/4 of 48 =

Page 2

ii © 2015 The Critical Thinking Co.™ • www.CriticalThinking.com • 800-458-4849

For more than 50 years, our award-winning products have helped students of all abilities achieve

better grades and higher test scores with highly effective lessons that sharpen the mind as they

teach standards-based reading, writing, mathematics, science, and social studies. Our products

are fun, easy to use, and guaranteed to produce better grades and higher test scores.

We design critical thinking into reading, writing, math, science, and social studies lessons

so students carefully analyze what they are learning. Deeper analysis produces deeper

understanding, which results in better grades and higher test scores. Over time, students who

practice critical thinking learn to apply it throughout their education and life.

The Critical Thinking Co.™ is recommended by Mensa, Learning® Magazine, the Well-Trained

Mind, Dr. Toy, Creative Child Magazine, and is used by Sylvan Learning Centers, Club Z In-Home

Tutoring, leading U.S. public schools, and talented programs in 57 countries throughout the world.

We guarantee better grades and higher test scores–or your money back.

The Critical Thinking Co.™ 2015 eBook Sampler

150+ Award-Winning PreK-12+ Books and Software!

Page 29

26 © 2015 The Critical Thinking Co.™ • www.CriticalThinking.com • 800-458-4849

1. Draw a rectangle with two 4 cm sides and two 2 cm sides.

perimeter = ______ centimeters

3. Draw a rectangle with a perimeter of 10 centimeters.

2. Draw a square with 3 cm sides. Find the perimeter.

perimeter = ______ centimeters

centimeter dots

centimeter dots

centimeter dots

Mathematical Reasoning™ Level DGr. 3

Page 30

© 2015 The Critical Thinking Co.™ • www.CriticalThinking.com • 800-458-4849 27

Language Smarts™ Level DGr. 1

Long and Short Vowels

© 2010 The Critical Thinking Co.™ • www.CriticalThinking.com • 800-458-4849 27

k i t e i

b e d e

Page 57

54 © 2015 The Critical Thinking Co.™ • www.CriticalThinking.com • 800-458-4849

eBook Sampler Answers

Pattern Explorer Level 1

Page 40

Page 41

9. Number Ninja 2 (p. 11)

10. Function Finder 2 (p. 12)

If you input 11, the output is Twice the input number plus 3 equals

13, which means twice the input number

2 x 11 + 3 = 22 + 3 = 25. equals 10. So the input number is 5. To

confirm: 2 x 5 + 3 = 10 + 3 = 13.

1. output is 25 2. input is 5

1. 2. 3. 4.

5050

50

25

25 25

20 20

10

15

5 5

8

8

4

2

26

9 15

10

7

82

5. 6. 7. 8.

54

3

3

1 2

3 6

9

0

3 6

1

2/3

1

2/3

1/31/3

14 7

15

3

411

9. 10. 11. 12.

44

3.4

2.3

1.7 1.7

1/8 1/8

1/8

1/16

1/16 1/16

30

17

13

13

017

2/3 1/2

5/6

1/6

1/31/2

3a. Rule:

multiply by 2

and then add 1

in out

0 1

3 7

6 13

10 21

13 27

20 41

25 51

34 69

63 127

3b. Rule:

multiply by 5

and then add 2

in out

0 2

2 12

3 17

6 32

8 42

20 102

25 127

32 162

40 202

3c. Rule:

multiply by 7

and then add 3

in out

0 3

1 10

2 17

3 24

4 31

6 45

10 73

25 178

30 213

3d. Rule:

multiply by 6

and then add 10

in out

0 10

1 16

2 22

3 28

5 40

8 58

15 100

20 130

50 310

The number of unshaded unit squares equals the square of one less than the stage

number: 10 x 10 = 100 for stage 11.

The number of shaded unit squares equals 15 at stage 8 and increases by 2 with each

stage number: 17 for stage 9, 19 for stage 10, and so on up to 27 for stage 14.

The total number of unit squares equals the square of the stage number: 15 x 15 = 225

for stage 15.

The number of shaded unit squares equals 27 at stage 14, 29 at stage 15, 31 at stage

16, 33 at stage 17, and 35 at stage 18.

The number of unshaded unit squares equals the square of the stage number (e.g., 8 x 8

= 64 for stage 8). The number of shaded unit squares starts at 8 and increases by 4 for

each new stage number (12 for stage 2, 16 for stage 3, 20 for stage 4, and so on). The

total number of unit squares equals the square of 2 more than the stage number (e.g.,

10 x 10 = 100 for stage 8).

The number of unshaded unit squares is the square of the stage number: 12 x 12 = 144.

The number of shaded unit squares equals 36 at stage 8 and increases by 4 with each

stage number: 40 at stage 9, 44 at stage 10, 48 at stage 11.

stage 1 2 3 4 5 6 7 8

# of unshaded

unit squares 1 4 9 16 25 36 49 64

# of shaded

unit squares 8 12 16 20 24 28 32 36

total # of

unit squares 9 16 25 36 49 64 81 100

6.

2. 100 unshaded unit squares

3. 27 shaded unit squares

4. 225 unit squares

5. stage 18

7. 144 unshaded unit squares

8. 48 shaded unit squares

The total number of unit squares is the square of 2 more than the stage number: 15 x 15

= 225 for stage 13.

The number of shaded unit squares equals 48 at stage 11, and increases by 4 with each

stage number: 52 at stage 12, 56 at stage 13, and so on up to 72 at stage 17.

22. Equality Explorer 5 (p. 27)

Removing a square from each side of the third balance leaves a cloud balanced with 25.

So a cloud is worth 25. Replacing the cloud with 25 in the first balance implies that 25 +

triangle = 31, which means the triangle is worth 6. Replacing the triangle with 6 in the

second balance implies that square + 6 = 17, which means the square is worth 11.

Removing a diamond from each side of the first balance leaves 2 circles balanced with

14, which means 1 circle is worth 7. Replacing the circle with 7 in the third balance

implies that diamond + 7 = 12, which means the diamond is worth 5. Replacing the

diamond with 5 in the second balance implies that hexagon + 5 = 7, which means the

hexagon is worth 2.

Removing a pentagon from each side of the third balance leaves 3 hearts balanced with

24, which means 1 heart is worth 8. Replacing the heart with 8 in the first balance

implies that 2 pentagons = 8, which means the pentagon is worth 4. Replacing the

pentagon with 4 in the second balance implies 2 parallelograms + 4 = 30, or 2

parallelograms = 26, which means 1 parallelogram is worth 13.

23. Sequence Sleuth 5 (p. 28)

The direction of the arrow repeats every 4 stages. For example, the arrow points up at

stages 1, 5, 9, 13, 17, and so on. The shaded circle pattern repeats every 3 stages. For

9. 225 unit squares

10. stage 17

1. cloud = 25, triangle = 6, square = 11

2. circle = 7, diamond = 5, hexagon = 2

3. pentagon = 4, parallelogram = 13, heart = 8

stage 8 stage 9 stage 10 stage 11 stage 12 stage 13 stage 14

1.

Page 58

© 2015 The Critical Thinking Co.™ • www.CriticalThinking.com • 800-458-4849 55

eBook Sampler Answers

Page 43

Page 44

Building Thinking Skills®

Level 3 Verbal

Page 45

B-256 damp, moist or soggy,

soaked, drenched

B-257 annoyed, peeved,

dissatisfied or furious,

outraged, enraged

B-259 trickle, seep or flood,

inundate, cascade, deluge

B-259 reluctant, resistant or

eager, enthusiastic

B-260 suggest, hint or demand,

insist

B-261 whimper, moan, complain

or wail, bellow, scream

B-262 anxious, concerned or

horrified, terrified

Page 46

D-39 value

D-40 pardon

D-41 reject

D-42 accept

D-43 accept

D-44 value

D-45 reject

D-46 accept

D-47 value

D-48 pardon

D-49 reject

D-50 value

D-51 accept

D-52 reject

D-53 value

D-54 reject

Daily Mind Benders

Page 42

The trees were meant to reduce

the wind velocity and prevent soil

from being carried away.

Best evidence sentence(s): 1

100 feet blue 80 feet fin

50 feet gray 60 feet right

55 feet sei

EXPLANATION: Clue # 1 tells

you the right whale must be 60,

as that number is the only one

that is 5 longer; the sei whale

must be 55; and the gray whale

must be 50, as the only numbers

that work with the clue. Clue # 2

tells you the blue whale must be

100, as that is the only number

that is twice as large as another

number in the chart; and that

means the fin whale must be 80

feet, as it is the only number left.

U.S. History Detective®

Page 47-50

1. b, sentence 11

2. b, sentence 4

3. to cross into the North and try

to capture Washington, D.C.

or Philadelphia

4. d, sentence 13

5. a, sentence 24

6. a, sentence 33

7. d, sentence 35

8. c, sentence 44

9. a, sentences 48, 54

10. Key points:

The Battle of Gettysburg

stopped Lee’s invasion of the

North. It also inflicted great

damage to the South as 1/3

of Lee’s men were killed in

battle. Lincoln’s eventual

Gettysburg Address stirred

Northerners to continue

fighting for their cause. At

Vicksburg, Grant captured

over 30,000 CSA soldiers.

Most importantly, the victory

gave the North complete

control of the Mississippi

River. This allowed the

North to ship supplies the

length of the river. It also

divided Arkansas, Texas, and

Louisiana from the rest of the

Confederacy

The Critical Thinking Co.

E m p o w e r t h e m i n d !

The Critical Thinking Co.™The Critical Thinking Co.™The Critical Thinking Co.

E m p o w e r t h e m i n d !

The Critical Thinking Co.

E m p o w e r t h e m i n d !

The Critical Thinking Co.The Critical Thinking Co.™The Critical Thinking Co.™The Critical Thinking Co.

E m p o w e r t h e m i n d !

The Critical Thinking Co.

E m p o w e r t h e m i n d !

The Critical Thinking Co.

eBook

Sampler

1/4 of 48 =

Page 2

ii © 2015 The Critical Thinking Co.™ • www.CriticalThinking.com • 800-458-4849

For more than 50 years, our award-winning products have helped students of all abilities achieve

better grades and higher test scores with highly effective lessons that sharpen the mind as they

teach standards-based reading, writing, mathematics, science, and social studies. Our products

are fun, easy to use, and guaranteed to produce better grades and higher test scores.

We design critical thinking into reading, writing, math, science, and social studies lessons

so students carefully analyze what they are learning. Deeper analysis produces deeper

understanding, which results in better grades and higher test scores. Over time, students who

practice critical thinking learn to apply it throughout their education and life.

The Critical Thinking Co.™ is recommended by Mensa, Learning® Magazine, the Well-Trained

Mind, Dr. Toy, Creative Child Magazine, and is used by Sylvan Learning Centers, Club Z In-Home

Tutoring, leading U.S. public schools, and talented programs in 57 countries throughout the world.

We guarantee better grades and higher test scores–or your money back.

The Critical Thinking Co.™ 2015 eBook Sampler

150+ Award-Winning PreK-12+ Books and Software!

Page 29

26 © 2015 The Critical Thinking Co.™ • www.CriticalThinking.com • 800-458-4849

1. Draw a rectangle with two 4 cm sides and two 2 cm sides.

perimeter = ______ centimeters

3. Draw a rectangle with a perimeter of 10 centimeters.

2. Draw a square with 3 cm sides. Find the perimeter.

perimeter = ______ centimeters

centimeter dots

centimeter dots

centimeter dots

Mathematical Reasoning™ Level DGr. 3

Page 30

© 2015 The Critical Thinking Co.™ • www.CriticalThinking.com • 800-458-4849 27

Language Smarts™ Level DGr. 1

Long and Short Vowels

© 2010 The Critical Thinking Co.™ • www.CriticalThinking.com • 800-458-4849 27

k i t e i

b e d e

Page 57

54 © 2015 The Critical Thinking Co.™ • www.CriticalThinking.com • 800-458-4849

eBook Sampler Answers

Pattern Explorer Level 1

Page 40

Page 41

9. Number Ninja 2 (p. 11)

10. Function Finder 2 (p. 12)

If you input 11, the output is Twice the input number plus 3 equals

13, which means twice the input number

2 x 11 + 3 = 22 + 3 = 25. equals 10. So the input number is 5. To

confirm: 2 x 5 + 3 = 10 + 3 = 13.

1. output is 25 2. input is 5

1. 2. 3. 4.

5050

50

25

25 25

20 20

10

15

5 5

8

8

4

2

26

9 15

10

7

82

5. 6. 7. 8.

54

3

3

1 2

3 6

9

0

3 6

1

2/3

1

2/3

1/31/3

14 7

15

3

411

9. 10. 11. 12.

44

3.4

2.3

1.7 1.7

1/8 1/8

1/8

1/16

1/16 1/16

30

17

13

13

017

2/3 1/2

5/6

1/6

1/31/2

3a. Rule:

multiply by 2

and then add 1

in out

0 1

3 7

6 13

10 21

13 27

20 41

25 51

34 69

63 127

3b. Rule:

multiply by 5

and then add 2

in out

0 2

2 12

3 17

6 32

8 42

20 102

25 127

32 162

40 202

3c. Rule:

multiply by 7

and then add 3

in out

0 3

1 10

2 17

3 24

4 31

6 45

10 73

25 178

30 213

3d. Rule:

multiply by 6

and then add 10

in out

0 10

1 16

2 22

3 28

5 40

8 58

15 100

20 130

50 310

The number of unshaded unit squares equals the square of one less than the stage

number: 10 x 10 = 100 for stage 11.

The number of shaded unit squares equals 15 at stage 8 and increases by 2 with each

stage number: 17 for stage 9, 19 for stage 10, and so on up to 27 for stage 14.

The total number of unit squares equals the square of the stage number: 15 x 15 = 225

for stage 15.

The number of shaded unit squares equals 27 at stage 14, 29 at stage 15, 31 at stage

16, 33 at stage 17, and 35 at stage 18.

The number of unshaded unit squares equals the square of the stage number (e.g., 8 x 8

= 64 for stage 8). The number of shaded unit squares starts at 8 and increases by 4 for

each new stage number (12 for stage 2, 16 for stage 3, 20 for stage 4, and so on). The

total number of unit squares equals the square of 2 more than the stage number (e.g.,

10 x 10 = 100 for stage 8).

The number of unshaded unit squares is the square of the stage number: 12 x 12 = 144.

The number of shaded unit squares equals 36 at stage 8 and increases by 4 with each

stage number: 40 at stage 9, 44 at stage 10, 48 at stage 11.

stage 1 2 3 4 5 6 7 8

# of unshaded

unit squares 1 4 9 16 25 36 49 64

# of shaded

unit squares 8 12 16 20 24 28 32 36

total # of

unit squares 9 16 25 36 49 64 81 100

6.

2. 100 unshaded unit squares

3. 27 shaded unit squares

4. 225 unit squares

5. stage 18

7. 144 unshaded unit squares

8. 48 shaded unit squares

The total number of unit squares is the square of 2 more than the stage number: 15 x 15

= 225 for stage 13.

The number of shaded unit squares equals 48 at stage 11, and increases by 4 with each

stage number: 52 at stage 12, 56 at stage 13, and so on up to 72 at stage 17.

22. Equality Explorer 5 (p. 27)

Removing a square from each side of the third balance leaves a cloud balanced with 25.

So a cloud is worth 25. Replacing the cloud with 25 in the first balance implies that 25 +

triangle = 31, which means the triangle is worth 6. Replacing the triangle with 6 in the

second balance implies that square + 6 = 17, which means the square is worth 11.

Removing a diamond from each side of the first balance leaves 2 circles balanced with

14, which means 1 circle is worth 7. Replacing the circle with 7 in the third balance

implies that diamond + 7 = 12, which means the diamond is worth 5. Replacing the

diamond with 5 in the second balance implies that hexagon + 5 = 7, which means the

hexagon is worth 2.

Removing a pentagon from each side of the third balance leaves 3 hearts balanced with

24, which means 1 heart is worth 8. Replacing the heart with 8 in the first balance

implies that 2 pentagons = 8, which means the pentagon is worth 4. Replacing the

pentagon with 4 in the second balance implies 2 parallelograms + 4 = 30, or 2

parallelograms = 26, which means 1 parallelogram is worth 13.

23. Sequence Sleuth 5 (p. 28)

The direction of the arrow repeats every 4 stages. For example, the arrow points up at

stages 1, 5, 9, 13, 17, and so on. The shaded circle pattern repeats every 3 stages. For

9. 225 unit squares

10. stage 17

1. cloud = 25, triangle = 6, square = 11

2. circle = 7, diamond = 5, hexagon = 2

3. pentagon = 4, parallelogram = 13, heart = 8

stage 8 stage 9 stage 10 stage 11 stage 12 stage 13 stage 14

1.

Page 58

© 2015 The Critical Thinking Co.™ • www.CriticalThinking.com • 800-458-4849 55

eBook Sampler Answers

Page 43

Page 44

Building Thinking Skills®

Level 3 Verbal

Page 45

B-256 damp, moist or soggy,

soaked, drenched

B-257 annoyed, peeved,

dissatisfied or furious,

outraged, enraged

B-259 trickle, seep or flood,

inundate, cascade, deluge

B-259 reluctant, resistant or

eager, enthusiastic

B-260 suggest, hint or demand,

insist

B-261 whimper, moan, complain

or wail, bellow, scream

B-262 anxious, concerned or

horrified, terrified

Page 46

D-39 value

D-40 pardon

D-41 reject

D-42 accept

D-43 accept

D-44 value

D-45 reject

D-46 accept

D-47 value

D-48 pardon

D-49 reject

D-50 value

D-51 accept

D-52 reject

D-53 value

D-54 reject

Daily Mind Benders

Page 42

The trees were meant to reduce

the wind velocity and prevent soil

from being carried away.

Best evidence sentence(s): 1

100 feet blue 80 feet fin

50 feet gray 60 feet right

55 feet sei

EXPLANATION: Clue # 1 tells

you the right whale must be 60,

as that number is the only one

that is 5 longer; the sei whale

must be 55; and the gray whale

must be 50, as the only numbers

that work with the clue. Clue # 2

tells you the blue whale must be

100, as that is the only number

that is twice as large as another

number in the chart; and that

means the fin whale must be 80

feet, as it is the only number left.

U.S. History Detective®

Page 47-50

1. b, sentence 11

2. b, sentence 4

3. to cross into the North and try

to capture Washington, D.C.

or Philadelphia

4. d, sentence 13

5. a, sentence 24

6. a, sentence 33

7. d, sentence 35

8. c, sentence 44

9. a, sentences 48, 54

10. Key points:

The Battle of Gettysburg

stopped Lee’s invasion of the

North. It also inflicted great

damage to the South as 1/3

of Lee’s men were killed in

battle. Lincoln’s eventual

Gettysburg Address stirred

Northerners to continue

fighting for their cause. At

Vicksburg, Grant captured

over 30,000 CSA soldiers.

Most importantly, the victory

gave the North complete

control of the Mississippi

River. This allowed the

North to ship supplies the

length of the river. It also

divided Arkansas, Texas, and

Louisiana from the rest of the

Confederacy