Basic Facts Problem

Name:__________________________________________________

1©2021 Johnson Learning Systems Copying is Illegal Math Fluency in Problem Solving - 4th Grade johnsonlearningsystems.com

MMaatthh FFlluueennccyy IInn PPrroobblleemm SSoollvviinngg 3RD GRADE

JJoohhnnssoonnlleeaarrnniinnggssyysstteemmss..ccoomm

Word

Problems

────

Basic Facts

────

Math

Computations

────

All in One Book!

YOUR STUDENTS WILL

BECOME FLUENT IN THE

LANGUAGE OF MATH!

Name:__________________________________________________


3.NF.A.3: Fluency Practice - Warm Up

Write the letter that is equivalent to on the number line.

7 4x

70 x

700 x

7,000 4

x

1x1=1x2=1x3=1x4=1x5=1x6=1x7=1x8=1x9=1x10=1x11=1x12=

2x1=2x2=2x3=2x4=2x5=2x6=2x7=2x8=2x9=2x10=2x11=2x12=

3x1=3x2=3x3=3x4=3x5=3x6=3x7=3x8=3x9=3x10=3x11=3x12=

4x1=4x2=4x3=4x4=4x5=4x6=4x7=4x8=4x9=4x10=4x11=4x12=

5x1=5x2=5x3=5x4=5x5=5x6=5x7=5x8=5x9=5x10=5x11=5x12=

6x1=6x2=6x3=6x4=6x5=6x6=6x7=6x8=6x9=6x10=6x11=6x12=

7x1=7x2=7x3=7x4=7x5=7x6=7x7=7x8=7x9=7x10=7x11=7x12=

8x1=8x2=8x3=8x4=8x5=8x6=8x7=8x8=8x9=8x10=8x11=8x12=

9x1=9x2=9x3=9x4=9x5=9x6=9x7=9x8=9x9=9x10=9x11=9x12=

10x1=10x2=10x3=10x4=10x5=10x6=10x7=10x8=10x9=10x10=10x11=10x12=

11x1=11x2=11x3=11x4=11x5=11x6=11x7=11x8=11x9=11x10=11x11=11x12=

12x1=12x2=12x3=12x4=12x5=12x6=12x7=12x8=12x9=12x10=12x11=12x12=

Draw tally marks, then circle equal groups to answer the division equations below.

18 ÷ 6 =

24 ÷ 8 =

90 x

Write the next 3 numbers to complete the pattern.

15, 24, 35, 44, 53,___, ___, ___

Put a point on the number line that represents .

66 rounded to the nearest ten = _____________

546 rounded to the nearest hundred = _____________

87+3

87+73

487+373

7,487+5,373

17 4

64 27

364 177

7,000 3,177

Solve the equation below.(7 x 6) + (4 x 10) =

62 2x

63 3x

64 4x

65 5x

20 x

30 x

80 x

20,000 + 6,000 + 200 + 30 + 6 = ___________

There are ___________ hundreds in the number 4,369.

44

3 4 52

4,129 4,192

> or <

12

0 1

JL KH

27

0 1

Name:__________________________________________________


3.NF.A.3: Fluency Practice - Homework


9 3x

90 x

900 x

9,000 3

x

1x1=1x2=1x3=1x4=1x5=1x6=1x7=1x8=1x9=1x10=1x11=1x12=

2x1=2x2=2x3=2x4=2x5=2x6=2x7=2x8=2x9=2x10=2x11=2x12=

3x1=3x2=3x3=3x4=3x5=3x6=3x7=3x8=3x9=3x10=3x11=3x12=

4x1=4x2=4x3=4x4=4x5=4x6=4x7=4x8=4x9=4x10=4x11=4x12=

5x1=5x2=5x3=5x4=5x5=5x6=5x7=5x8=5x9=5x10=5x11=5x12=

6x1=6x2=6x3=6x4=6x5=6x6=6x7=6x8=6x9=6x10=6x11=6x12=

7x1=7x2=7x3=7x4=7x5=7x6=7x7=7x8=7x9=7x10=7x11=7x12=

8x1=8x2=8x3=8x4=8x5=8x6=8x7=8x8=8x9=8x10=8x11=8x12=

9x1=9x2=9x3=9x4=9x5=9x6=9x7=9x8=9x9=9x10=9x11=9x12=

10x1=10x2=10x3=10x4=10x5=10x6=10x7=10x8=10x9=10x10=10x11=10x12=

11x1=11x2=11x3=11x4=11x5=11x6=11x7=11x8=11x9=11x10=11x11=11x12=

12x1=12x2=12x3=12x4=12x5=12x6=12x7=12x8=12x9=12x10=12x11=12x12=


24 ÷ 6 =

32 ÷ 8 =

90 x


16, 23, 30, 37, 44,___, ___, ___




74+8

74+68

574+368

7,487+5,373

12 4

62 24

362 174

7,000 3,174


62 3x

63 4x

64 5x

65 6x

20 x

30 x

80 x

30,000 + 7,000 + 400 + 60 + 7 = ___________


33

4 5 63

5,367 5,376

> or <

23

0 1

JL KH

47

0 1

Name:__________________________________________________


3.NF.A.3: Fluency Practice - Extra Practice


8 8x

80 x

800 x

8,000 8

x

1x1=1x2=1x3=1x4=1x5=1x6=1x7=1x8=1x9=1x10=1x11=1x12=

2x1=2x2=2x3=2x4=2x5=2x6=2x7=2x8=2x9=2x10=2x11=2x12=

3x1=3x2=3x3=3x4=3x5=3x6=3x7=3x8=3x9=3x10=3x11=3x12=

4x1=4x2=4x3=4x4=4x5=4x6=4x7=4x8=4x9=4x10=4x11=4x12=

5x1=5x2=5x3=5x4=5x5=5x6=5x7=5x8=5x9=5x10=5x11=5x12=

6x1=6x2=6x3=6x4=6x5=6x6=6x7=6x8=6x9=6x10=6x11=6x12=

7x1=7x2=7x3=7x4=7x5=7x6=7x7=7x8=7x9=7x10=7x11=7x12=

8x1=8x2=8x3=8x4=8x5=8x6=8x7=8x8=8x9=8x10=8x11=8x12=

9x1=9x2=9x3=9x4=9x5=9x6=9x7=9x8=9x9=9x10=9x11=9x12=

10x1=10x2=10x3=10x4=10x5=10x6=10x7=10x8=10x9=10x10=10x11=10x12=

11x1=11x2=11x3=11x4=11x5=11x6=11x7=11x8=11x9=11x10=11x11=11x12=

12x1=12x2=12x3=12x4=12x5=12x6=12x7=12x8=12x9=12x10=12x11=12x12=


27 ÷ 3 =

25 ÷ 5 =

90 x


17, 25, 33, 41, 49,___, ___, ___




75+9

75+69

575+369

7,485+5,379

11 6

61 26

361 176

8,000 2,176


62 4x

63 5x

64 6x

65 7x

20 x

30 x

80 x

40,000 + 8,000 + 500 + 70 + 2 = ___________


88

5 6 74

1,468 1,438

> or <

28

0 1

L KH

67

0 1

Name:__________________________________________________


3.NF.A.3: • Understand two fractions as equivalent (equal) if they are the same size or the same point on a number line;• Recognize and generate simple equivalent fractions (e.g., 1/2 = 2/4, 4/6 = 2/3);• Explain why the fractions are equivalent (e.g., by using a visual fraction model);• Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers (e.g., Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram);• Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole.Record the results of comparisons with symbols (>, =, <) and justify the conclusions (e.g., by using a visual fraction model).

1. Which letter on the number line represents ?

A) point H B) point I

C) point J D) point K


A) point L B) point M

C) point N D) point O

3. Which point on the number line is equivalent to ?

A) B)

C)

D)

4. Which fraction on the number line represents ?

A) point T B) point U

C) point V D) point W

5. Which fraction is equivalent to ?

A) B)

C) D)

6. Jason has a container that holds exactly cup of rice. How many times should Jason fill the container to get exactly 1 cup of rice?

A) B) 1

C) 2 D)

7. Tina used cup of sugar to make cookies. How many cups will Tina need to get cup of sugar?

A) B) 1

C) 2 D) 4

8. Which number line shows a fraction equivalent to ?

A) B)

C)

D)

23

13

46

34

16

12

0 1

H I J K

13

L M N 0

0 1

12

14

12

141

412

34

12

0 1

0 1

10

0 1

0 1

T U V W

14

0 1

0 1

0 1

0 1

68

Name:__________________________________________________


1. Which point on the number line is equivalent to ?

A) B)

C)

D)

2. Darren and Kyle buy two pizzas. Darren’s pizza is cut into 8 slices, while Kyle’s pizza is cut into 4 slices. Darren eats six of his slices. If Kyle wants to eat the same amount, what fraction of the pizza should he eat?

A) B)

C) D)

3. Which letter on the number line also represents ?

A) point A B) point B

C) point C D) point D

4. Stephanie and Malia made 2 pans of brownies. Stephanie’s pan is cut into 6 pieces, while Malia’s pan is cut into 3 pieces. Stephanie ate 3 of her pieces. If Malia wants to eat the same amount, what fraction of the pan should she eat?

A) B)

C) D)





A) point L B) point N

C) point M D) point O


0 1

0 1

28

0 1

0 1

0

Darren Kyle

28

68

46

34

Malia Stephanie

36

13

28

26

0 1

H I J K

12

13

L M N 0

0 1

0 1

34

A B C D

Name:__________________________________________________


1. Albert and Jaden were working with fraction strips in math class.

Which answer choice show fractions that are equal?

A) B)

C) D)

2. Which fraction strips shows answers that are equal?

A) B)

C) D)

3. The figure has been divided into equal parts and shaded to represent . Which answer choice is equivalent to ?

A) B) C) D)

4. The figure has been divided into equal parts and shaded to represent . Which answer choice is equivalent ?

A) B) C) D)

5. The figure below is shaded to represent a fraction.

Which shape is shaded to represent a fraction equivalent to the shape above?

A) B)

C) D)


38 =

34

26 =

24

13 =

26

46 =

48

26 =

46

34 =

68

36 =

34

26 =

23

23

34

23

34

Name:__________________________________________________



Which shape is not shaded to represent a fraction equivalent to the shape above?

A) B)

C) D)

2. Anita needs cup of butter to bake a cake. She only has a cup measuring tool. Which answer choice represents the equivalent amount of butter Anita used?

A) B)

C) D)

3. Deshawn needs cup of milk to make a milk shake. She only has a cup measuring tool. Which answer choice represents the equivalent amount of milk Deshawn used?

A) B)

C) D)

4. What number makes this comparison true?

A) 4 B) 5

C) 6 D) 7

5. What number makes this comparison true?

A) 3 B) 4

C) 5 D) 6

6. Which fraction strips shows answers that are equal?

A) B)

C) D)


Which shape is shaded to represent a fraction equivalent to the shape above?

A) B)

C) D)


121

8

12 =

28

12 =

38

12 =

48

12 =

58

461

3

46 =

13

46 =

23

46 =

33

46 =

26

34 =

8?

12 =

?6

13 =

36

26 =

58

14 =

38

14 =

28

Name:__________________________________________________


1. Which fraction is equivalent to 6?

A) B)

C) D)


A) B)

C) D)

3. Which two values are located at the same point on a number line?

A) B)

C) D)

4. Which two values are located at the same point on a number line?

A) B)

C) D)

5. Which answer choice represents point V on the number line?

A) B) 8

C) D)

6. Which point on the number line represents ?




A) B)

C) D)

8. Which answer choice is equivalent to ?

A) 3 B)

C) 5 D)

31

15

44

62

and 3 and 4

and 4and 5

14

18

55

42

and 4 and 1

and 4and 1


16

66

61

12 6

31

12

24

22

0 31 2

V

12

21

24

0 31 2

44

H I J K

14

42

21

12 3

15 5

13

51

Name:__________________________________________________









A) B)

C) D)


A) point N B) point O

C) point P D) point Q


A) point Q B) point R

C) point S D) point T


A) point T B) point U

C) point V D) point W


A) point D B) point E

C) point F D) point G

44

0 31 2

A B C D

51

3 64 5

A B C D

41

15

44

21

63

0 31 2

Q R S T

93

0 31 2

T U V W

10 5

0 1

D E F G

2

0 21

12 6

N O P Q


Name:__________________________________________________


1. Which number sentence is true?

A) B)

C) D)

2. Which two fractions both represent the same location on a number line?

A) B)

C) D)

3. Which answer choice is less than ?

A) B)

C) D)


A) B)

C) D)

5. Which answer choice is greater than ?

A) B)

C) D)


6. Which fraction comparison is not correct?

A) B)

C) D)

7. Which fraction comparison is not correct?

A) B)

C) D)

8. Danisha and N’kosi bought a pizza at Rico’s Pizza Shop.

• Danisha ate of the pizza.

• N’kosi ate of the pizza.

Which statement shows a correct comparison of how much pizza Danisha and N’kosi ate?

A) B)

C) D)

9. Wayne and Derrick went shopping for school clothes.

• Wayne spent of his money.

• Derrick spent of his money.

Which statement shows a correct comparison of how much money Wayne and Derrick spent?

A) B)

C) D)

33 =

28

36 =

44

12 =

48

24 =

46

13 =

26

14 =

26

23 =

24

26 =

36

15

12

13

14

16

16

18

14

13

12

14

15

16

13

19

14 <

24

34 <

36

23 >

26

46 >

48

38 <

36

56 >

46

28 >

26

13 >

14

14

12

12 <

14

12 >

14

14 =

12

14 +

12

2326

13 =

26

23 +

26

26 >

23

26 <

23

Name:__________________________________________________



A) B)

C) D)


A) B)

C) D)

3. Which answer choice is more than ?

A) B)

C) D)

4. Which answer choice is more than ?

A) B)

C) D)


A) B)

C) D)

6. A group of 4 friends met at the park. The chart shows the distance each friend walked to the park.

The friends wanted to know who walked the longest distance to the park. Select the box in each row to identify if each comparison statement is true or false.

7. Chris and his sister ordered ice cream sundaes. The chart shows the amount of toppings they put on the ice cream sundaes.

Chris and his sister compared the amount of toppings. Select the box in each row to identify if each comparison statement is true or false.

3.NF.A.3: • Understand two fractions as equivalent (equal) if they are the same size or the same point on a number line;• Recognize and generate simple equivalent fractions (e.g., 1/2 = 2/4, 4/6 = 2/3);• Explain why the fractions are equivalent (e.g., by using a visual fraction model);• Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers (e.g., Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram);• Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols (>, =, <) and justify the conclusions (e.g., by using a visual fraction model).

13 =

26

34 <

37

23 <

26

12 =

13

18

17

14

16

15

35 <

36

23 <

24

23 <

28

67 >

69

58

48

68

28

38

24

26

23

78

21

Friend Distance to the Park

Kesha

LaNaya

Leya

Monique

38 of a mile264846

of a mile

of a mile

of a mile

True False

48

38

>

46

26

<

48

46

<

Chris’s Sister’sOrder

Sprinkles

Caramel

Chocolate 282613

Chris’s Order

Sprinkles

Caramel

Chocolate 243614

True False

28

24

>

26

36

>

13

14

>

Name:__________________________________________________


Documents

Basic Facts Problem