4th grade lesson 1

Lesson 1 © Cassi Noack

4th Grade LESSON 1Place Value

A Provide the standard notation for eachvalue.

1 30,000,000 + 1,000,000 + 900,000 + 90,000 + 3,000 + 600 + 60 + 9

2 700,000,000 + 40,000,000 + 8,000,000 + 600,000 + 60,000 + 3,000 + 700 + 60 + 3

3 600,000,000 + 70,000,000 + 9,000,000 + 700,000 + 70,000 + 1,000 + 400 + 70 + 6

4 100,000,000 + 40,000,000 + 6,000,000 + 500,000 + 70,000 + 7,000 + 600 + 90 + 3

B Round to theunderlined digit.

1 692,119 =

2 286,155 =

3 841,864 =

4 556,498 =

5 505,472 =

6 693,544 =

C Write each number in expanded form.

1 101,784,397

2 702,972,063

3 707,425,766

D To which place should youmove the underlined digit toincrease its value by 10 times?

1 797,958 =

2 228,991 =

3 557,741 =

4 677,683 =

E Write the value of theunderlined digit.

1 480,969,315 =

2 246,630,788 =

3 649,621,344 =

4 664,834,718 =

5 96,262,811 =

F Write each value in words.

1 873,620,754

A history joke: How did the Vikings send secret messages? Bynorse code!


4th Grade LESSON 5Place Value

A Find the lowest common multiple.

1 47

2 1210

3 103

B Round to theunderlineddigit.

1 553,110 =

2 472,233 =

3 807,943 =

4 270,580 =

5 491,148 =

C If the underlined digit is even,multiply its value by ten. If itis odd, divide its value by ten.

1 27,129 =

2 739,741 =

3 739,331 =

4 623,434 =

D Write the next 3 numbers inthe pattern.

1 70, 66, 62, 58, 54, 50, 46,

2 23, 29, 35, 41, 47, 53, 59,

3 31, 36, 41, 46, 51, 56, 61,

4 69, 72, 75, 78, 81, 84, 87,

E Find the secrettrail.

1 9 10 5

7 4 4

3 2 2

22

F Write the standard form for each value.

1 forty-nine million eight hundred twenty-one thousand four hundred forty-one

2 six hundred fifty-five million nine hundred forty-six thousand two hundred eighty-one

3 seventy-eight million seven hundred seventy-five thousand nine hundred thirty-eight

What kind of food do math teachers eat? Square meals!

G Write the value in expanded form.

1 299,217,530


4th Grade LESSON 6Decimals

A Name the place the underlined digit is in.

1 0.06 = 2 1.9 =

3 0.08 = 4 0.5 =

5 1.1 = 6 7.45 =

7 9 = 8 0.09 =

9 8.63 = 10 0.1 =

B Find the secret trail.

1 8 7 9

2 10 1

2 1 8

38

C Write the value of the money in expanded form.

1=

2=

3=

4=

D Write the value of the underlined digit.

1 4.76 = 2 0.1 =

3 5.6 = 4 9.2 =

5 34 = 6 7.6 =

7 0.24 = 8 2 =

9 0.65 = 10 2.6 =

E Round to theunderlined digit.

1 4,698.01 =

2 28,894.7 =

3 62,560.2 =

4 3,359.29 =

5 8,301.53 =

A history joke: How did Columbus's men sleep on their ship? Withtheir eyes shut!

F Write the value in word form.

1 63,601,541.3


4th Grade LESSON 10Decimals

A Round to the underlined digit.

1 9,969 =

2 2,277 =

3 1,418.9 =

4 39,923.1 =

B List the factors for eachnumber.

1 22

2 42

3 21

The number lines spans 1.3 to 2.3. Put a star on 1.95.

D Shade the units to show the givenfraction. Write the correspondingdecimal.

1 510= 2 50

100=

C Divide eachunderlinedvalue by 10.

1 48 =

2 4 =

3 0.71 =

4 0.52 =

E Write the decimal that correspondswith the fractional part of therectangle.

1 = 2 =

3 = 4 =

5 = 6 =

F Write the fractionin standardnotation.

1 159 = 2 3

56 =

3 251 = 4 2

54 =

5 359 = 6 4

51 =

What are the small rivers that run into the Nile? The juve-niles!

G Compare the numbers. Add: > or < or =

1 9 1 2 0.03 0.8 3 0.3 0.05 4 0.01 2 5 0.8 0.09


4th Grade LESSON 11Fractions

A Complete the equivalentfractions.

1 4 4050= 2 2 10

25= 3 3 68=

4 34 12= 5 1

3 18= 6 369=

7 58

45= 8 14 36= 9 3

515=

B Rewrite the fraction as adecimal.

1 35 = 2 20

50 =

3 2150 = 4 1

2 =

5 210 = 6 36

50 =

7 3850 = 8 9

10 =

9 310 = 10 86

100 =

The number lines spans 0 to 5. Label the number line in fourths. Place astar at two and a half.

C Change the mixed numbers to improperfractions.

1 154 = 2 1

58 = 3 153 = 4 1

57 =

5 454 = 6 4

58 = 7 251 = 8 3

52 =

9 254 = 10 4

59 = 11 354 = 12 3

57 =

D Compare thefractions.

1 36

25 2 1

356

3 45

24 4 2

578

5 48

23 6 2

315

E Create an equivalent fraction that couldalso be written as a decimal.

1 15 = 2 4

5 = 3 35 = 4 2

5 =

5 25 = 6 1

5 = 7 35 = 8 1

5 =

9 15 = 10 4

5 = 11 45 = 12 4

5 =

F Write the sum as aproper fraction insimplest form.

1 18

28+ =

2 26

26+ =

3 14

34+ =

4 13

13+ =

What did Sheriff of Nottingham say when Robin fired at him?That was an arrow escape!


4th Grade LESSON 15Fractions

A Find two equivalent fractions.

1 18 56

10= = 2 26 48 60= = 3 3

827 21= = 4 1

39

15= =

5 13

912= = 6 2

4 8 28= = 7 45

4025= = 8 2

612

18= =

9 38

21 24= = 10 18

3 8= = 11 38 48 56= = 12 4

8 16 64= =

B Find the lowestcommon denominatorfor each set offractions.

1 68

46 2 1

624

3 56

24 4 2

523

5 13

58 6 2

534

C Swap the underlined digit with thedigit that is in the place that is 10times smaller. Rewrite the numberas a fraction with a denominator of100.

1 0.8 = 2 1.66 =

3 0.38 = 4 3.5 =

5 4.4 = 6 9.1 =

This number line spans 2 to 3. Label the number in fractions with adenominator of 10. Place a star at 2.35

D Write the number in word form.

1 6,759,582.45

Where did knights learn to kill dragons? At knight school!

E Create a simpler fraction that could be written as a decimal.

1 1620 = 2 2

20 = 3 4550 = 4 30

50 = 5 3550 = 6 8

20 =

7 3550 = 8 14

20 = 9 2550 = 10 20

50 = 11 550 = 12 40

50 =


4th Grade LESSON 16Addition &Subtraction

A Find the sum.

1 228,794204,059+

2 285,281742,178+

3 900,777461,599+

4 674,808130,868+

5 365,397688,626+

6 923,149372,119+

7 748,207368,620+

8 222,614962,682+

9 451,213461,976+

10 874,032675,223+

Did you hear about the cross eyed teacher? He couldn't control his pupils!

B Find the sum.

1 26 + 30 + 72 = 2 82 + 59 + 36 = 3 88 + 23 + 56 =

4 57 + 62 + 56 = 5 34 + 76 + 66 = 6 70 + 43 + 83 =

C Round each numberto the underlined digitand find the sum ofthe roundednumbers.

1 5,350.6 =

2 4,540.6 =

3 132.3 =

4 582,858 =

D Add the sides of each rectangle tofind the perimeter.

15.04 in

11.28 in

24.62 in

10.43 in

E Compare the numbers. Add: > or < or =

1 9,659 89.28 2 694.3 296.1 3 70.15 4,706 4 330.4 3,935

5 4,167 962.0 6 289.1 4,255 7 377.2 34.8 8 6,702 421.8


4th Grade LESSON 20Addition &Subtraction

A Complete the table.

1 Count by 4 from 6 to 102

B Find the solution.

1 85 + 82 - 3.9 = 2 41 + 96 - 16 =

3 66 + 73 - 21 = 4 60 + 64 - 14 =

5 66 + 50 - 0.94 = 6 64 + 95 - 0.05 =

7 47 + 77 - 95 = 8 56 + 50 - 0.5 =

C If the underlined number is even, increase its value by 10. If it isodd, find 1/10 of its value.

1 1.42 = 2 7,309 = 3 5,138 =

4 49.16 = 5 5.84 = 6 0.72 =

What did you learn in school last year?Not enough, I have to go back in August!

D Convert to a mixednumber or improperfraction.

1 235 = 2 3

52 =

3 252 = 4 14

5 =

5 152 = 6 3

51 =

F Write the sum as aproper fraction insimplest form.

1 24

34+ =

2 14

14+ =

3 56

56+ =

4 38

78+ =

E Write the decimal that correspondswith the fractional part of therectangle.

1 =

2 =

3 =

4 =

5 =

6 =

7 =

8 =


4th Grade LESSON 21Multiplication &Division

A Find the product.

1 1040×

2 9080×

3 9040×

4 9070×

5 7010×

6 8030×

7 8050×

8 7080×

When do astronauts eat? At launch time!

B Solve.

1 The product of two and a number is 20. What is the number?

2 The quotient of a number and two is 9. Find the number.

3 The product of two and a number is 12. What is the number?



C Find the quotient of thesecompatible numbers.

14 200

26 300

35 200

44 100

59 90

62 200

73 600

89 360

D Find the quotient.

1486

282

381

4123

5273

6242

7248

866

E Find the solution.

1 (36 ÷ 6) × 4 = 2 (5 ÷ 1) × 3 = 3 (10 ÷ 5) × 3 = 4 (6 ÷ 2) × 4 =

5 (20 ÷ 5) × 2 = 6 (18 ÷ 6) × 5 = 7 (20 ÷ 4) × 2 = 8 (2 ÷ 2) × 1 =

9 (6 ÷ 2) × 5 = 10 (12 ÷ 4) × 5 = 11 (3 ÷ 1) × 1 = 12 (30 ÷ 6) × 2 =

F Compare the fractions.

1 1820

410 2 37

1001

100

3 3150

820 4 62

1004050

5 450

25100 6 9

100530

G Write the value of theunderlined digit.

1 7.76 =

2 5.5 =

3 0.08 =

4 9.63 =



A Find the quotient and remainder.

1112

2386

3293

4406

55510

6314

Why did George Washington chop down the cherry tree?I'm stumped!

B Fill in the emptyblanks. Write arule to representthe relationshipbetween inputand output.

1 Input Output

9 27

6 18

5

8

2 Input Output

8 64

7 56

9

5

C Find the product.

1 3498×

2 3544×

3 2784×

4 6637×

5 3988×

6 2727×

7 6857×

8 3027×

9 5679×10 235

5×

D Find the quotient.

15 670

28 488

38 784

43 480

E Find the sum of the two products.

1 16562×

2 65718×

F Find the estimated products.

1 126211×

2 624238×

3 427272×



A Compare the numbers. Add: > or < or =

1 0.09 2 2 0.2 2 3 7 0.01

4 0.03 0.07 5 0.06 8 6 0.07 0.02

7 0.7 0.4 8 3 9 9 0.05 0.01

B Find the quotient.Multiply to check.

15 445

C Find the quotient.

1 500 ÷ 100 = 2 260 ÷ 10 = 3 740 ÷ 10 = 4 900 ÷ 100 =

5 330 ÷ 10 = 6 500 ÷ 100 = 7 790 ÷ 10 = 8 630 ÷ 10 =

How do we know that the Earth won't come to an end? Because it's round!

D Write the mixed number as an improper fraction.

1 1476 = 2 3

489 = 3 1372 = 4 1

698 = 5 5686 =

E Decompose each fraction as a sum of its unit fractions.

1 = 2 =

F 10 small cubes equals one whole. Write a decimal value and a fractionvalue for each model.

1 = 2 = 3 =

G Find the sum of the products.

1 3817×

2 5186×

3 4326×

H Find the difference of thequotients.

15 880

26 234


4th Grade LESSON 26Algebra

A Evaluate each expression when y = 6.

1 7 - y = 2 y - 3 = 3 y + 8 = 4 9 - y = 5 y - 1 =

6 y + 6 = 7 y + 4 = 8 y + 7 = 9 1 + y = 10 6 - y =

B Complete each family of facts.

1 126

14 9

× =

× =

÷ =

÷ =

2 96

16 6

× =

× =

÷ =

÷ =

3 85

17 5

× =

× =

÷ =

÷ =

4 14

5 9

+ =

+ =

- =

- =

C Rewrite the equation another way.

1 y - 2 = 1 2 y + 9 = 14 3 8 - y = 1 4 y + 9 = 18

5 y + 9 = 17 6 6 + y = 8 7 5 + y = 12 8 9 - y = 6

D What number should be added to the first number to make thesecond number? Use the inverse operation to help.

1 459

7,683+

2 1,686

5,766+

3 1,511

7,575+

What animals are on legal documents? Seals!

E Find the difference. Then writethe differences in order fromleast to greatest.

1 462,900158-

2 45,51241,492-

F Solve.

1 Three less than a number is 7. Find the number.

2 A number diminished by 6 is 5. Find the number.

3 Three less than a number is 10. Find the number.


4th Grade LESSON 30Algebra

A Evaluate each expression when y = 5.

1 y + 4 + 8 × y = 2 y + 5 =

3 8 × y + 1 = 4 9 × y + 8 =

5 y + 3 + 5 × y = 6 2 × y + 1 =

7 6 × y + 2 = 8 y + 3 + 4 × y =

9 y + 8 + 9 × y = 10 5 × y + 7 =

B Find the secrettrail.

1 9 8 3

4 5 1

5 1 9

32

How did the farmer fix his jeans? With a cabbage patch!

C Evaluate each expression when y = 8.

1 0.03 + y = 2 0.08 + 0.07 + y = 3 0.08 + 0.04 + y =

4 0.8 + y = 5 0.8 + 0.2 + y = 6 0.05 + y - 0.05 =

D Solve each problem and represent the problem with a strip diagram.

1 77 oranges were in the basket. Some of the oranges were removed from the basket. Now there are 60 oranges. How many oranges were removed from the basket?

2 Jennifer has eight fewer oranges than Jackie. Jackie has 29 oranges. How many oranges does Jennifer have?

3 75 pears were in the basket. Some of the pears were removed from the basket. Now there are 31 pears. How many pears were removed from the basket?

E Create an equivalent fractionthat could also be written as adecimal.

1 25 = 2 1

5 = 3 35 =

F Write the numbers in order from leastto greatest.

1 662,204.653,215.09955,730.1


4th Grade LESSON 31Data

A Find the product.

1 5891×

2 5760×

3 4850×

4 5184×

B Simplify.

1 840 =

2 2440 =

3 1640 =

Why did the silly kid stand on his head? His feet were tired!

C Fill in the empty blanks. Write a rule to represent the relationshipbetween input and output.

1 Input Output

30 6

20 4

45

25

2 Input Output

4 3

9 8

7

6

3 Input Output

6 1

5 0

8

9

4 Input Output

27 9

3 1

6

24

D Find the perimeter.

1

39.15 cm86.85 cm

214.28 cm

37.80 cm

332.90 cm

86.48 cm

E Find the quotient. Multiply to check.

14 288

26 696

37 357

F Write the fraction as a mixed number.

1 365 = 2 49

5 = 3 445 = 4 37

5 = 5 385 = 6 12

5 =


4th Grade LESSON 35Data

A Find the area.Number therectangles 1-3, with 1being the biggestarea and 3 being thesmallest area.

122 cm

52 cm

2

35 cm

71 cm

321 ft70 ft

B Find the solution.

1 5 × 6 + 3 =

2 8 × 2 + 2 =

3 7 × 3 + 8 =

4 7 × 5 + 8 =

5 (2 × 8) - (7 + 5) =

6 8 × (3 + 4) =

7 3 × (6 + 9) =

C Find the quotient. Multiply to check. (Don'tforget to add the remainder.)

17 173

28 292

D Solve each problem.

hot dog = $1.70order of French-fries = $1.40hamburger = $2.90deluxe cheeseburger = $3.30cola = $1.00ice cream cone = $1.40milk shake = $2.60taco = $2.20

1 Faraz purchases a hot dog, a milk shake, and a hamburger. How much money will he get back if he pays $10.00?

2 Ellen purchases a hot dog. How much money will she get back if she pays $5.00?

3 If Jennifer buys a deluxe cheeseburger, how much money will she get back if she pays $10.00?

4 If AJ buys a taco and an order of French-fries, how much change will he get back from $10.00?

What pet makes the loudest noise? A trum-pet!


4th Grade LESSON 36Geometry

A Classify each angle as obtuse, acute, or right. Use a protractor tomeasure each angle to the nearest 10 degrees. Find and write thecomplementary angle.

1 2 3

4 5 6

Why did the sword swallower swallow an umbrella? He wanted to put something away for a rainy day!

Word Bank:

PolygonQuadrilateralTriangleRectangleSquareParallelogramRhombusTrapezoid

B Using the word bank, write all of the names thatdescribe each of the following figures.

1 2 3

4 5 6


4th Grade LESSON 40Geometry

A Add two rays to the figure to create complementary andsupplementary angles.

1 2 3 4

What has a bottom at the top? Your legs!

B Write two equations foreach input and outputtable. Use the variable ifor input and o foroutput.

1 Input Output

9 17

2 10

7 15

1 9

C Find the quotient. Multiply to check.

16 138

29 432

D Write the value of the money inexpanded form.

1 =

2=

E If the underlined digit is even,divide its value by 10. If it is odd,multiply its value by 10.

1 3.51 = 2 0.64 =

3 0.46 = 4 42 =

5 85 = 6 53 =

7 15 = 8 0.7 =

F Solve.

1 The product of ten and a number is 70. What is the number?

2 The sum of a number and four is 8. Find the number.

3 A number increased by two is 10. Find the number.

4 Eight less than a number is 10. Find the number.


4th Grade LESSON 41Measurements

A Convert thegiven measuresto new units.

1 108 in = ft

2 15 ft = yd

3 108 in = yd

4 96 in = ft

5 51 ft = yd

6 78 in = yd

B Convert the given measures to new units.

1 8,700 mm = m 2 51,000 cm = km 3 61 mm = cm

4 89,000 cm = km 5 97 cm = m 6 530 m = km

7 460 m = km 8 150 mm = m 9 61 cm = m

Where do snowmen go to dance? A snowball!

C Measure the lines in inches. Convert the measurement to feet. (Showas a fraction in simplest form.)

1

2

3

4


4th Grade LESSON 45Measurements

A Beginning Time End Time

1 2

How muchtime haselapsedbetween thebeginningand endtimes?

Why is abbreviation such a long word?

B Convert the given measures tonew units. If the answer is lessthan one, write it as a simplifiedfraction or mixed number.

1 576 in = ft

2 32,000 oz = t

3 72 ft = yd

4 2,000 lb = t

5 126 ft = yd

6 135 ft = yd

C Classify and measure theangles.

1 2

3 4

D Find the area and perimeter of each rectangle.

1

31 cm

58 cm

224 ft

62 ft

3

21 cm43 cm

4th grade lesson 1

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