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Date Time

LESSON

91

Adult Weights of North American Animals

2,00

0 lb

to 3

,500

Wal

rus

650

lb to

1,7

50 lb

Po

lar b

ear

2,00

0 lb

to 3

,500

lb

Bel

uga

wha

le

7 lb

to 2

0 lb

A

rctic

fox

3 2

lb to

5

lb 3

Snow

shoe

har

e

200

lb to

396

lb

Har

p se

al

170

lb to

240

lb

Mou

ntai

n go

at

300

lb to

620

lb

Nor

ther

n fu

r sea

l

15 lb

to 4

5 lb

R

acco

on

250

lb to

600

lb

Bla

ck b

ear

20 lb

to 5

6 lb

B

eave

r

204 two hundred four

Date Time

LESSON

91

Adult Weights of North American Animals cont.

20 lb

to 4

0 lb

A

mer

ican

por

cupi

ne

45,0

00 lb

to 7

2,00

0 lb

G

ray

wha

le

3,20

0 lb

to 6

,400

lb

Pilo

t wha

le

50 lb

to 4

80 lb

W

hite

-taile

d de

er

2 1

lb to

4 lb

2

Gila

mon

ster

150

lb to

230

lb

Pum

a

250

lb to

450

lb

Atla

ntic

gre

en tu

rtle

48 lb

to 9

9 lb

Se

a ot

ter

200

lb to

500

lb

Am

eric

an a

lliga

tor

9 lb

to 1

6 lb

G

ray

fox

350

lb to

430

lb

Bot

tle-n

osed

dol

phin

500

lb to

1,1

00 lb

W

est I

ndia

n m

anat

ee

200

lb to

300

lb

Com

mon

dol

phin

70

,000

lb to

140

,000

lb

Rig

ht w

hale

two hundred five 205

Date Time

LESSON

91

Multiples of 10, 100, and 1,000

Solve each problem.

1. a. 7 [40s] b. 7 40

2. a. 6 [70s] b. 6 70

3. a. 60 [20s] b. 60 20

4. How many 50s are in 4,000?

5. How many 800s are in 2,400?

6. a. How many 3s are in 270? b. 3 270

c. 270 ÷ 3

7. a. 40 300 b. 12,000 ÷ 40

For Problems 8 through 10, use the information on pages 204 and 205.

8. a. Which animal might weigh about 20 times as much as a 30-pound raccoon?

b. Can you name two other animals that might weigh 20 times as much as a 30-pound raccoon?

9. About how many 200-pound American alligators weigh about as much as a 3,200-pound beluga whale?

Try This

10. Which animal might weigh about 100 times as much as the combined weights of a 15-pound arctic fox and a 10-pound arctic fox?

206 two hundred six

Date Time

LESSON

91

Math Boxes

1. If I wanted to take out a square 2. Put these numbers in order from about 4 times as often as a circle, smallest to largest.

I

w

o

u

l

d

p

u

t

i

n

square(s). 998,752

1,000,008

750,999

1,709,832

20

3. Write equivalent fractions.

12

14

4. Pencils cost $1.99 for a package of 24. Estimate. About how much do 4 packages cost?

27-30 191

5. Use bills and coins.

Share $45.90 equally among

6. Measure the line segment to the nearest 1 inch.

23 people. about in.

Each gets $ . Draw a line segment that is 11 inches long.

Share $49.20 equally among 24 people.

Each gets $ .73 143 144

two hundred seven 207

Date Time

LESSON

92

Mental Multiplication

Solve these problems in your head. Use a slate and chalk, or pencil and paper, to help you keep track of your thinking. For some of the problems, you will need to use the information on journal pages 204 and 205.

1. Could 5 arctic foxes weigh 100 pounds?

Less than 100 pounds?

Explain the strategy you used.

2. Could 12 harp seals weigh more than 1 ton? Less than 1 ton?

Explain the strategy that you used.

3. How much do eight 53-pound white-tailed deer weigh?

Explain the strategy that you used.

4. How much do six 87-pound sea otters weigh?

5. How much do seven 260-pound Atlantic green turtles weigh?

6. 6 54 7. 4 250

8. 2 460 9. 3 320

208 two hundred eight

Date Time

LESSON

92

Number Stories

Use the Adult Weights of North American Animals poster on Math Journal 2, pages 204 and 205. Make up multiplication and division number stories. Ask a partner to solve your number stories.

1.

Answer:

2.

Answer:

3.

Answer:

two hundred nine 209

Date Time

LESSON

92

Math Boxes

1. Nicky has $806 in the bank. Andrew has $589. How much more money does Nicky have than Andrew?

$

2. Write the numbers. 5 tens 9 ones

50

3 tens 8 ones

Total: 59

Total:

258

3. hour 30 minutes 4. Draw a shape with a perimeter of 14 units.

hours 90 minutes

2 hours minutes

11 hours 4

hours

minutes

180 minutes What is the area of the shape?

247 square units 150 151 154 155

5. Fill in the missing numbers. 6. Circle the most appropriate unit. Use fractions.

length of a calculator:

0 2inches feet miles

3 weight of an adult:

ounces pounds tons

amount of gas in a car:

cups pints gallons 10

26

210 two hundred ten

Date Time

LESSON

93

Array Multiplication 1 1.

H

ow m

any

squa

res

are

in a

4-b

y-28

arr

ay?

Mak

e a

pict

ure

of th

e ar

ray.

1

Tota

l squ

ares

:

428

01

20

30

2.

How

man

y sq

uare

s ar

e in

a 3

-by-

26 a

rray

? M

ake

a pi

ctur

e of

the

arra

y.

1

Tota

l squ

ares

:

326

01

20

30

3.

How

man

y sq

uare

s ar

e in

a 6

-by-

32 a

rray

? M

ake

a pi

ctur

e of

the

arra

y.

1

Tota

l squ

ares

:

632

01

20

30

two hundred eleven 211

Date Time

LESSON

93

Geoboard Areas

R

e

c

o

r

d

y

o

u

r

r

e

s

u

l

t

s

i

n

t

h

i

s

t

a

b

l

e

.

Area

12 square units

12 sq

uare units

6 square units

6 square units

16 square

units

16 square units

Geoboard Areas Longer Sides

units

units

units

units

units

units

Shorter Sides

units

units

units

unit

units

units

1. Study your table. Can you find a pattern?

2.

3.

Find the lengths of the sides of a rectangle or square whose area is 30 square units without using the geoboard or geoboard dot paper. Make or draw the shape to check your answer.

Make check marks in your table next to the rectangles and squares whose perimeters are 14 units and 16 units.

212 two hundred twelve

Date Time

LESSON

93

Math Boxes

1. If I wanted to have an equal 2. Which number is the smallest? Fill chance of taking out a circle in the circle for the best answer. or a square, I would add circle(s) to the bag.

A

B

C

D

1,060

1,600

1,006

6,001

20

3. Write 3 fractions that are equivalent

to 182.

4. Pencils cost $1.99 for a package of 24 and $1.69 for a package of 16. What is the total cost of two 24-pencil packages and one 16-pencil package?

Ballpark estimate:

Exact answer:

5. Use bills and coins.

Share $108 equally among 4 people.

27-30

6.

191

Measure the line segment to the nearest 1 inch.

4

Each gets $ . about in.

Share $61 equally among Draw a line segment that is 4 people.

Each gets $ .

21 inches long. 4

73 143 144

two hundred thirteen 213

Date Time

LESSON

94

Using the Partial-Products Algorithm

Multiply. Compare your answers with a partner. If you disagree, discuss your strategies with each other. Then try the problem again.

Example 7 46 1. 34 2

46 34 7 2

7 [40s] 280 7 [6s] 42

280 42 322

2. 83 5 3. 55 6

83 55 5 6

4. 214 7 5. 403 5

214 403 7 5

214 two hundred fourteen

Date Time

LESSON

94

Measures

Measure these drawings to the nearest 1 inch and 1 centimeter. 2 2

1.

The length of the fish

about in. about cm

2. Alpha Beta The map distance from Alpha to Beta

about in. about cm

3. A B Line segment AB: about in.

Line segment AB: about cm

Line segment AC: about in.

Line segment AC: about cm D C

Try This

Carefully draw the following line segments:

4. 9.5 cm

5.

6.

41 in. 4

2 cm shorter than 9.5 cm

7. 11 in. shorter than 41 in. 4 4

two hundred fifteen 215

Date Time

LESSON

94

Math Boxes

1. Morgan earned $252 shoveling snow. Casey earned $228. How much more money did Morgan earn? Fill in the circle for the best answer.

2. Write the numbers.

5 hundreds 6 tens 4 ones

Total:

3.

A

C

$24

$470

seconds

B

D

$26

$480

2 minutes

258

4.

3 hundreds 2 tens 9 ones

Total:

The length of the longer

28 days weeks side is units.

6 months year The length of the shorter

months 11 years 2

side is units.

The area of the rectangle

is square units. 247 154-156

5. Fill in the missing numbers on the 6. Circle the unit you would use to number line. measure each item.

weight of journal

1 13

4ounce pound ton

length of football field

inch yard mile

length of paperclip

10 26 cm meter kilometer

216 two hundred sixteen

Date Time

LESSON

95

Shopping at the Stock-Up Sale

Use the Stock-Up Sale Poster #2 on page 217 in the Student Reference Book. Solve each number story below. There is no sales tax. Show how you got the answers.

1.

2.

3.

4.

When Mason sees bars of soap at the Stock-Up Sale, he wants to buy at least 5. He has $4.00. Can he buy 5 bars of soap?

Number model:

Can he buy 6 bars?

Vic's mom gave him a $5.00 bill to buy a toothbrush. If he goes to the sale, can he buy 5 toothbrushes?

Exactly how much money does Vic need in order to be able to buy 5 toothbrushes at the sale price?

Number model:

Andrea wants 2 bottles of glue. How much more will it cost her to buy 5 bottles at the sale price rather than 2 bottles at the regular price?

Make up a Stock-Up Sale story of your own.

Answer:

Number model:

two hundred seventeen 217

Date Time

LESSON

95

Math Boxes

1. Fill in the oval for the best 2. Draw a 4-by-9 array of Xs. answer. The perimeter of the quadrangle is

21 yd.

30 yd.

24 yd.

42 yd.

6 yd

15 yd

How many Xs in all? Write a number model.

150 151 64 65

3. Use the partial-products algorithm 4. Solve. to solve.

(40 3) 292 37 60 50 4 (300 6)

(7 80) 140

68 69 16

5. Draw a set of 12 circles. 6. Solve.

Color 152 of the set blue. 1 foot inches

Color 1

of the set

red. 3

feet 36 inches

Color 1 of the

set green. 6

1 yard

1 yard

yards

feet

15 feet

inches

24 146

218 two hundred eighteen

Date Time

LESSON

96

Factor Bingo Game Mat

Write any of the numbers 2 3 4 5 6 7 8 9 10 2 through 90 onto the grid above.

You may use a number only once.

To help you keep track of the numbers you use, circle them in the list.

11

21

31

41

51

61

71

81 12

22

32

42

52

62

72

82 13

23

33

43

53

63

73

83 14 15

24

25

34

35

44

45 54 55 64

65 74 75 84

85

16

26 36 46 56 66 76 86

17

27

37

47

57

67

77

87

18

28

38

48

58

68

78 88 19 20

2

9

3

0

3

9

4

0

49 50

59 60

69 70

79 80

89 90

two hundred nineteen 219

Date Time

LESSON

96

Using the Partial-Products Algorithm

Multiply. Show your work. Compare your answers with your partner's answers. If you disagree, discuss your strategies with each other. Then, try the problem again.

1.

3.

5.

68 2

47 4

231 6

2.

4.

6.

96 5

85 9

508 5

220 two hundred twenty

Date Time

LESSON

96

Math Boxes

1. Estimate. Malachi sold 19 boxes 2. Solve. of candy for $2.50 a box. About how much money should he have?

about

Number model:

(9 9) (43 9)

(5,600

963

80)

(567

2

439)

3.

Use

your Fraction Cards. Write , , or to make the number sentence true.

191

4. Use bills and coins.

Share $63.75 equally among 3 people.

16

131

144

Each gets $ .

313

12 78

Share $63.00 equally among 5 people.

1 4 Each gets $ .3 6

31 32 73

5. You and a friend are playing a 6. Measure this line segment. game with a 6-sided die. You win if an odd number is rolled. Your friend wins if an even number is rolled. Do you think this game is fair? Circle one.

It is about

It is about

inches long.

centimeters yes

no long.

137-139 143-145

two hundred twenty-one 221

Date Time

LESSON

97

Sharing Money

Work with a partner. Put your play money in a bank for both of you to use.

1. If $54 is shared equally by 3 people, how much does each person get?

a. How many $10 bills does each person get? $10 bill(s)

b. How many dollars are left to share? $

c. How many $1 bills does each person get? $1 bill(s)

d. Number model: $54 3 $

2. If $204 is shared equally by 6 people, how much does each person get?

a. How many $100 bills does each person get? $100 bill(s)

b. How many $10 bills does each person get? $10 bill(s)

c. How many dollars are left to share? $

d. How many $1 bills does each person get? $1 bill(s)

e. Number model: $204 6 $

3. If $71 is shared equally by 5 people, how much does each person get?

a.

b.

c.

d.

e.

How many $10 bills does each person get?

How many dollars are left to share? $

How many $1 bills does each person get?

How many $1 bills are left over?

If the leftover $1 bill(s) are shared equally, how many cents does each person get? $

$1 bill(s)

$10 bill(s)

$1 bill(s)

f. Number model: $71 5 $

4. $84 3 $ 5. $75 6 $

6. $181 4 $ 7. $617 5 $

222 two hundred twenty-two

Date Time

LESSON

97

Math Boxes

1. Draw a shape with a perimeter of 20 centimeters.

What is the area of your shape?

2. Draw a 4-by-8 array of Xs.

How many Xs in all? Write a number model.

square

centim

eters

150 151 154 155 64 65

3. Use the partial-products algorithm 4. Put in the parentheses needed to to solve. complete the number sentences.

296 183 15 80 90 7,215 4 7

14 6 800 6,400

60 79 1 4,800

5. What part of this pizza has been eaten?

What part is left?

68 69

6. Complete.

24 inches

30 cm

yards

yards

feet

mm

12 feet

72 inches

16 17

4 meters centimeters

22 23 140 146

two hundred twenty-three 223

Date Time

LESSON

98

Division with Remainders

Solve the problems below. Remember that you will have to decide what the remainder means in order to answer the questions. You may use your calculator, counters, play money, or pictures.

1.

2.

Ruth is buying soda for a party. There are 6 cans in a pack. She needs 44 cans. How many 6-packs will she buy?

Paul is buying tickets to the circus. Each ticket costs $7. He has $47.

6-packs

How many tickets can he buy? tickets

3. Héctor is standing in line for the roller coaster. There are 33 people in line. Each roller coaster car holds 4 people. How many cars are needed to hold 33 people? cars

Pretend that the division key on your calculator is broken. Solve the following problems:

4. Regina is building a fence around her dollhouse. She is making each fence post 5 inches tall. The wood she bought is 36 inches long. How many fence posts does each piece of wood make?

Explain how you found your answer.

posts

5. Missy, Ann, and Herman found a $10 bill. They want to share the money equally. How much money will each person get?

Explain how you found your answer.

224 two hundred twenty-four

Date Time

LESSON

98

Math Boxes

1. Kevin and Naomi read to each 2. Fill in the circle for the best other for 35 minutes each day. answer. 5 (6 5) About how many hours do they read to each other in one week?

Answer: about (unit)

A

B

C

D

4

5

16

25 16

3. Write 5 names for 3. 4

3

4. Use bills and coins.

Share $78 equally among 3 people.

4 Each person gets $ . .

Share $53 equally among 4 people.

Each person gets $ . .

5.

27-30

You and a friend are playing a game with the spinner. You win if the spinner lands on purple. Your friend wins if the spinner lands on black.

6. Draw a line segment 13 inches 4

long.

73

Do you think this game is fair?

1Draw a line segment 2 inch longer than the one you just drew.

yes

no

black

purple

143 144

two hundred twenty-five 225

Date Time

LESSON

99

Lattice Multiplication

Megan has a special way of doing multiplication problems. She calls it lattice multiplication. Can you figure out how she does it?

Study the problems and solutions in Column A. Then try to use lattice multiplication to solve the problems in Column B.

3 64

Column A 192 1. 4 65

Column B

6 4 6 5

11 1 82

92

3 4

5 713

7

3,565

1 3

2. 6 815

8 1 5

301 3555

565

5 6

7 376

3

2,632

7 6

3. 9 634

6 3 4

244 1

2192 632

7 9

226 two hundred twenty-six

Date Time

LESSON

99

Lattice Multiplication Practice

1. 8 45 2. 9 37

4 5

8

3. 5 23 4. 3 124

5. 6 431 6. 7 209

two hundred twenty-seven 227

Date Time

LESSON

99

Math Boxes

1. Name the eight factors of 24. 2. Use the partial-products algorithm to solve. Show your work.

,

,

,

,

,

,

,238

6574

5

3.

37

16 books in all. 3 books per shelf.

How many shelves?

How many books

left over?

74 259 260

4. Draw an angle that measures between 0° and 90°.

68 69

167 168

5. This shape is a . 6. What is the median number of hours children sleep each night?

It has vertices.

sides and hours

Number Hours

8

9

10 11

of Children

////

////\ ////

////

/

103 80

228 two hundred twenty-eight

Date Time

LESSON

9 10

Array Multiplication 2

1. How many squares are in a 20-by-13 array? Total squares

20 13

20

10

010 20

2. How many squares are in an 18-by-30 array? Total squares

18 30 20

10

010 20 30

two hundred twenty-nine 229

Date Time

LESSON

9 10

Array Multiplication 3

1. How many squares are in a 17-by-34 array? Total squares

17 34 20

10

010 20 30

2. How many squares are in a 22-by-28 array? Total squares

22 28

20

10

010 20 30

230 two hundred thirty

Date Time

LESSON

9 10

Sharing Money

Work with a partner.

Materials number cards 0-9 (at least 2 of each)

1 die

$10 bills, $1 bills, and tool-kit coins (optional)

Draw 2 number cards. Form a 2-digit number to show how much money will be shared. Roll 1 die to show how many friends will share the money. Fill in the boxes below.

1. $ is shared equally by friends.

a. How many $10 bills does each friend get?

b. How many $1 bills does each friend get? c.

How many $1 bills are left over?

d. If the leftover money is shared equally, how many cents does each friend get?

e. Each friend gets a total of $ .

f. Number model:

Repeat. Draw the next 2 cards. Roll the die. Fill in the blanks below.

2. $ is shared equally by friends.

a. How many $10 bills does each friend get? b.

How many $1 bills does each friend get? c.

How many $1 bills are left over?

d. If the leftover money is shared equally, how many cents does each friend get?

e. Each friend gets a total of $ .

f. Number model:

two hundred thirty-one 231

Date Time

LESSON

9 10

Math Boxes

1. Draw a shape with an area of 2. Practice lattice multiplication. 10 square centimeters.

39 48

What is the perimeter of your 150 151 70-72 154 155 shape? centimeters

3.

5.

Make an estimate. About how much money, without tax, will you need for 5 gallons of milk that cost $3.09 each?

about

191

Fill in the circle for the best answer.

4.

6.

Estimate. Reuben buys 3 bags of baby carrots at $2.19 per bag. He gives the cashier a $10 bill. About how much change should he get?

about

191

Circle the tool you would use to find the length of a pen:

The turn of the angle is

ruler compass scale

the weight of a dime: 1

A. gr

eater than a

4 turn. ruler compass

scale

B. less than a 1 turn. the way to get home: 4

C

.

g

r

e

a

t

e

r

t

h

a

n

a

1

t

u

r

n

.

2

D. a

full

turn.

167 168

ruler compass

scale

232 two hundred thirty-two

Date Time

LESSON

9 11

Multiplication with Multiples of 10

Multiply. Compare your answers with a partner. If you disagree, discuss your strategies with each other. Then try the problem again.

Example: 30 1. 70 26 18

20 [30s] 600 6 [30s] +180

780

2. 88 3. 60 40 35

4. 80 5. 90 44 63

two hundred thirty-three 233

Date Time

LESSON

9 11

Math Boxes

1. Write the six factors of 20. 2. Use the partial-products algorithm to solve.

, , ,489 608

7 9, ,

3.

37

Allison has 58 stickers. She wants to share them among 8 friends.

How many stickers does each friend get?

How many stickers are left over?

73 259 260

4. Fill in the oval for the best answer. The degree measure of the angle is

less than 40°.

more than 100°.

more than 180°.

90°.

68 69

167 168

5. Fill in the oval for the best answer. This picture of a 3-dimensional shape is called a

rectangular prism.

pyramid.

sphere.

6. Number of children per classroom:

25, 30, 26, 28, 33, 35, 28

Median:

Maximum:

Minimum: I t has

faces. Range:

117 79 80

234 two hundred thirty-four

Date Time

LESSON

9 12

2-Digit Multiplication

Multiply. Compare your answers with a partner. If you disagree, discuss your strategies with each other. Try the problem again.

1.

4.

24 16

59 79

2.

5.

42 31

36 14

3.

6.

12 87

42 53

7. Describe in words how you solved Problem 1.

two hundred thirty-five 235

Date Time

LESSON

9 12

Math Boxes

1. Find the area of the rectangle. 2. Practice lattice multiplication.

80 in. 56 78

40 in.

in.2 length of length of area short side long side

3.

5.

156

Taylor is 9 years old. About how many days old is he? Show your work.

about (unit)

Number model:

247

Fill in the oval for the best answer. The degree measure

4.

6.

70-72

Darius took two $5 bills and four $1 bills to the store. He bought shoelaces for $1.27 and 2 packs of batteries for $3.59 each. What is the smallest amount of money he can give to the cashier?

191

Match the tool with its use.

of the angle is

less than 90°.

less than 180°.

more than 180°.

find weight

measure length

tell time

ruler

clock

scale

167 168

236 two hundred thirty-six

Date Time

LESSON

9 13

Number Stories with Positive & Negative Numbers

Solve the following problems. Use the thermometer scale, the

class number line, or other tools to help.

1. The largest change in temperature in a single day took place in January 1916 in Browning, Montana. The temperature dropped 100°F that day. The temperature was 44°F when it started dropping.

How low did it go?

2. The largest temperature rise in 12 hours took place in Granville, North Dakota, on February 21, 1918. The temperature rose 83°F that day. The high temperature was 50°F.

What was the low temperature?

3. On January 12, 1911, the temperature in Rapid City,

°F 100

90

80

70

60

50

40

30

20

10

0

South Dakota, fell from 49°F at 6

By how many degrees did the

A.M. to 13°F at 8 A.M. -10

-20 -

30

temperature drop in those 2 hours?

4. The highest temperature ever recorded in Verkhoyansk, Siberia, was 98°F. The lowest temperature ever recorded there was 94°F.

What is the difference between those two temperatures?

5. Write your own number story using positive and negative numbers.

-40 -

50 -

60 -

70 -

80 -

90

-100

two hundred thirty-seven 237

Date Time

LESSON

9 13

Math Boxes

1. length units 2. Use the partial-products algorithm to solve.

width units

area

2 factors of 45

square units

652 3

408 8

are and .

3.

5.

37 154 156

There are 347 candles. A box holds 50 candles. How many full boxes of candles is that?

boxes

How many candles are left over?

candles

74 259 260

What 3-D shape is this a picture of? Fill in the oval for the best answer.

sphere

cylinder

pyramid

What is the shape of the base?

4.

6.

68 69

Fill in the oval for the best answer. The degree measure of the angle is

180°.

less than 90°.

less than 270°.

more than 270°.

167 168

Number of pets children have:

0, 4, 0, 1, 1, 3, 6, 2, 5

Median:

Maximum:

Minimum:

R ange:

118 79 80

238 two hundred thirty-eight

Date Time

LESSON

9 14

Math Boxes

1. Measure this line segment to the 2. Measure this line segment to the nearest 1 inch.

8

nearest 1 centimeter. 2

It is about centimeters long. It is about inches long.

Draw a line segment 13 inches 4

long.

Draw a line segment 3.5 centimeters long.

143-145 137-139

3. Circle the most appropriate unit. 4. Find the median of the following numbers.

length of calculator i

n

c

h

e

s

feet miles 34, 56, 34, 16, 33, 27, 45

weight of a third grader Median:

ounces pounds tons

amount of water in a drinking glass cups quarts gallons

80

5. Find the maximum, minimum, and 6. Circle the tool you use to find

range of the following numbers: the temperature:

18, 13, 6, 9, 15, 25, 21, 17

scale thermometer ruler

M

a

x

i

m

u

m

:

Minimum:

the weight of a Student Reference Book:

scale thermometer ruler Range:

the perimeter of a Student Reference Book:

scale thermometer ruler 79

two hundred thirty-nine 239