Step 1

Step 4

Step 2

Step 3

Use Model Drawing in Four-Step Process

•Main Idea of Question

•Work the computation (s).

•Describe how the problem was solved.

Who What

Unit Bar

Read one sentence at a time to adjust unit bars.

Details

Four Step Process1. Main Idea

• Read the problem.• Write the main idea in the question.

2. Details• Write who the problem is about (related to main

idea.) • Write what the problem is about (related to main

idea.)• Draw unit bars of equal length.• Re-read the problem one sentence at a time

adjusting the unit bars to match the story and identify the question on the model.

3. Strategy• Work the computation (s).

4. How• Describe how the problem was solved.

Extra Information• If a child understands that the details

are what is needed to answer the main idea of the question, he will NOT include the extra information in the details.

• Try to keep students focused on what the question is asking them to find.

• However, if the child includes the extra information in the drawing, placing the ? in the model will help them understand that the extra information is NOT needed.

Put Together

Addition

Austin has 22 toys. Jeff has 33 toys. How many toys do they have together?

Toys together Austin

Jeff

toys

toys

22

33 ] ?

22

+ 33

55

Add 22 and 33.

Step 1

Step 4

Step 2

Step 3

Austin has 22 toys. Jeff has 33 toys. How many toys do they have together?

Juan has 32 games for his Gameboy. Devion has 52 games for his Gameboy. Cody has 24 games for his. Juan gave 15 of his games to Cody. Which number sentence shows Cody’s number of games?

Cody’s # games

Juan

Devion

Cody

games

games

games

?

Step 1

Step 4

Step 2

Step 3

Juan has 32 games for his Gameboy Gameboy.

Devion has 52 games for his

Cody has 24 games for his.

32

24

Juan gave 15 of his games to Cody.

52

ξ|

| X15

15

Which number sentence shows Cody’s number of games?

Take Away

Subtraction

Ms. Hernandez has 10 chocolates and 25 jelly beans in a bag. She ate 6 of the jelly beans. She put the rest of the jelly beans in a jar. Which way can be used to find how many jelly beans are in the jar?

Jelly beans jarMs. H Jelly beans

25Step 1

Step 4

Step 2

Step 3

25 jelly beans in a bag.Ms. Hernandez has 10 chocolates and She put the rest of the jelly beans in a jar.

She ate 6 of the

?6

jelly beans.

X| J

Which way can be used to find how many jelly beans are in the jar?

John wanted to buy a bicycle that cost $285 and a helmet that cost $39. He was able to get $19 taken off the price of the bicycle because he used a coupon from the newspaper. With the coupon, how much did the bicycle cost John not including tax?

Bicycle cost

John bicycle money$285

| ]

$285

- $19 $266

Subtracted $19 from $285.

Step 1

Step 4

Step 2

Step 3

and a helmet that cost $39.John wanted to buy a bicycle that cost $285

how much did the With the coupon,

?$19

He was able to get $19 taken off the price of the bicycle because heused a coupon from the newspaper.

X

bicycle cost John not including tax?

John wanted to buy a bicycle that cost $285 and a helmet that cost $39. He was able to get $19 taken off the price of the bicycle because he used a coupon from the newspaper. With the coupon, how much did the bicycle cost John not including tax?

Bicycle cost

John bicycle money

helmet money

$285

| ]

$285

- $19 $266

Found the difference between $19 and $285.

Step 1

Step 4

Step 2

Step 3

and a helmet that cost $39.John wanted to buy a bicycle that cost $285

how much did the With the coupon,

?$19

He was able to get $19 taken off the price of the bicycle because heused a coupon from the newspaper.

X

bicycle cost John not including tax?

|§§§§$39

At breakfast, the temperature outside was 68 degrees F. At lunchtime it had gone up 5 degrees F, and then by dinnertime it had gone down 2 degrees F. What was the temperature at dinnertime?

Temperature dinnertime temperature68

?

73

Find the sum of 68 and 5.

Find the difference of 73 and 2.

Step 1

Step 4

Step 2

Step 3

At lunchtime it had At breakfast, the temperature outside was 68 degrees F. gone up 5 degrees F,

and then by dinnertime it had gone down 2 degrees

F. What was the temperature at dinnertime?

68

+5

5

2X

73

-2

71

At breakfast, the temperature outside was 68 degrees F. At lunchtime it had gone up 5 degrees F, and then by dinnertime it had gone down 2 degrees F. What was the temperature at dinnertime?

Temperature dinnertime temperature68

?

73

Find the sum of 68 and 5.

Find the difference of 73 and 2.

Step 1

Step 4

Step 2

Step 3

At lunchtime it had At breakfast, the temperature outside was 68 degrees F. gone up 5 degrees F,

and then by dinnertime it had gone down 2 degrees

F. What was the temperature at dinnertime?

68

+5

5

73

2

73X

73

-271

Subtraction

Compare

There are 18 children in Ms. Fry’s homeroom class. There are more boys than girls. What additional information is needed to find how many more boys than girls are in Ms. Fry’s homeroom?

info-more boys than girls Ms. Fry’s Boys

Girls

18

]

?

Step 1

Step 4

Step 2

Step 3

There are more boysThere are 18 children in Ms. Fry’s homeroom class. than girls. What additional information is needed to find how many more boys than girls are in Ms. Fry’s homeroom?

B

G ]

Missing Part

Subtraction

Jeff has 204 balls. Fifteen balls are baseballs and the rest are soccer balls. How many are soccer balls?

soccer balls Jeff balls204

15

] ?

24

- 15

9

Found the difference between 24 and 15.

Step 1

Step 4

Step 2

Step 3

Fifteen balls are baseballsJeff has 204 balls. and the rest are soccer balls.

|

How many are soccer balls?

B S

Abby went to the mall with $15 in her purse. After she bought a book and popcorn, she had $7 left. If the book costs $6, which of these shows one way to find the amount that Abby spent on the popcorn?

Way-money spent popcorn Abby money

?

Step 1

Step 4

Step 2

Step 3

After she bought a book

Abby went to the mall with $15 in her

purse. she had $7 left.

$6

$15

and popcorn,

$7

If the book costs $6, which of these

B PB P

shows one way to find the amount that Abby spent on the popcorn?

L

Victoria’s parents spent $81 at the shoe store. Victoria’s shoes cost $24, and her sister’s shoes cost $29. The rest of the money was spent on her brother Carlos’ shoes. How much money was spent on Carlos’ shoes?

Money Carlos’ shoes

V. parents money

$81

]

$81

_ $24 $57

Subtracted $24 from $81. Subtracted $29 from $57.

Step 1

Step 4

Step 2

Step 3

Victoria’s shoes cost $24,Victoria’s parents spent $81 at the shoe store. and The rest of the money was spent on her brother

?$24

her sister’s shoes cost $29.

$57

-$29 $28

Carlos’ shoes.

C

How much money was spent on Carlos’ shoes?

V$29S

81 – 24 - 29

Multiple Step Operations

Add and Subtract

Warner Elementary has 1,125 students enrolled in PK to 5th grade. McFee Elementary has 238 fewer students in PK to 5th grade. What is the total number of students in the 2 newest Cy-Fair schools?

Students 2 new schools

Warner

McFee

Students

Students

1125

]

1,125

- 238 887

Subtracted 238 from 1,125.

Added 887 and 1,125.

Step 1

Step 4

Step 2

Step 3

McFee Elementary has 238 fewer students in PK to 5th grade.

Warner Elementary has 1,125 students enrolled in PK to 5th grade.

What is

?

the total number of students in the 2 newest Cy-Fair schools?

1,125

+ 887 2,012

238

ζ| 887

Donny had 148 baseball cards. Mel had 26 more baseball cards than Donny. Bruce had 11 fewer baseball cards than Mel. How many baseball cards did Bruce have?

Baseballs-Bruce

Donny

Mel

Bruce

Bb cards

Bb cards

Bb cards

?

148

+ 26

174

Found sum of 148 and 26.

Found the difference between 174 and 11.

Step 1

Step 4

Step 2

Step 3

Mel had 26 more baseball cards than Donny had 148 baseball cards. Donny. How many baseball

Bruce had 11 fewer baseball cards than Mel.

148

148 26

cards did Bruce have?

174

- 11163

148 26

11

|ξ

Victoria’s parents spent $81 at the shoe store. Victoria’s shoes cost $24, and her sister’s shoes cost $29. The rest of the money was spent on her brother Carlos’ shoes. How much money was spent on Carlos’ shoes?

Money Carlos’ shoes

Victoria

Sister

Carlos

Shoes

Shoes

Shoes

$81

$29 ]

$24

+ $29 $53

Find the sum of $24 and $29. Subtracted the sum from $81.

Step 1

Step 4

Step 2

Step 3

Victoria’s shoes cost $24,Victoria’s parents spent $81 at the shoe store.

and The rest of the money was spent on her brother

?

her sister’s shoes cost $29.

$81

- $53$28

Carlos’ shoes.

$24

How much money was spent on Carlos’ shoes?

Put Together Equal Sets

Multiplication

Jeff has 4 bags. Each bag has 5 toys. How many total toys does Jeff have?

total toys Jeff bags of toys

4] ?

5

5

5

+ 5

20

Added 5 four times.

Found the product of 5 and 4.

Step 1

Step 4

Step 2

Step 3

Each bag has 5 toys. Jeff has 4 bags. How many total toys does Jeff have?

5

x 4

20

5 5 55

Mrs. Cassidy bought 9 packages of party plates to use for a special party. Each package contained 8 party plates. The party plates cost $48 altogether. Which number sentence can be used to find how many party plates in all Mrs. Cassidy bought?

NS-party plates Ms Cassidy bought

$48

?

9

x 872

Found the product of 9 and 8.

Step 1

Step 4

Step 2

Step 3

Each Mrs. Cassidy bought 9 packages of party plates to use for a special party. package contained 8 party plates.The party plates cost $48 altogether.

P1

Which number sentence can be used to find how many party plates in all Mrs.

P2 P3 P4 P5

8 8Ms CP6

88 8 8

Cassidy bought?

PlatesP7 P8 P9

8 8 8

Aaron exercises every day of the week. If he does 25 jumping jacks each day, how many jumping jacks will he do in 1 week?

Jumping jacks 1 week

Aaron jump jacks

1

Found the product of 25 and 7.

Step 1

Step 4

Step 2

Step 3

If he does 25Aaron exercises every day of the week.

?

25

X 7175

252 3 4 5 6 7

jumping jacks each day,how many jumping jacks will he do

in 1 week?

25 25 25 25 25 25

Ms. Lee has 12 boxes of crayons. Each box has 16 crayons. How many crayons does she have?

crayonsMs. Lee boxes of crayons

12

16

?

Multiplied 16 by 12.

Step 1

Step 4

Step 2

Step 3

Each box has 16 crayons. Ms. Lee has 12 boxes of crayons. How many crayons does she have?

16

X 12

32

16 16 16…

16 .

192

Take Away Equal Sets

Division

Juan made paper roses for his girlfriend. He made 9 paper roses each day. How many days did it take him to make 117 roses?

days to make roses

Juan paper roses

117

9

D ?

9

Divided 117 by 9.

Step 1

Step 4

Step 2

Step 3

He made Juan made paper roses for his girlfriend. 9 paper roses each day. How many days did it take him to make 117 roses?

)117 13

Day

1

Day

2

Day

3

9

…

9

Juan made paper roses for his girlfriend. He made 9 paper roses each day. How many days did it take him to make 117 roses?

days to make roses

Juan paper roses

1179

D ?

9

Divided 117 by 9.

Step 1

Step 4

Step 2

Step 3

He made Juan made paper roses for his girlfriend. 9 paper roses each day.

- - -

- - -

- - -9 9 …

How many days did it take him to make 117 roses?

)117 13

Day

1

Day

2

Day

3

…

Multi-Operation

Multiplication and Division

Manny bought pencils that were priced at 3 for 45¢. What was the total cost of 8 pencils?

Total cost 8 pencils

Mannypencils

1

___3)45¢ 15¢

Divided 45 by 3 and multiplied the quotient by 8.

Step 1

Step 4

Step 2

Step 3

What was the total cost of 8 pencils?

Manny bought pencils that were priced at 3 for 45¢.

?

15¢

X 8 $1.20

45¢

2 3 4 5 6 7 8

Manny bought pencils that were priced at 3 for 45¢. What was the total cost of 8 pencils?

Total cost 8 pencils

Mannypencils

1

___3)45¢ 15¢

Divided 45 by 3 and multiplied the quotient by 8.

Step 1

Step 4

Step 2

Step 3

What was the total cost of 8 pencils?

Manny bought pencils that were priced at 3 for 45¢.

?

15¢

X 8 $1.20

45¢

2 3 4 5 6 7 8

Theo bought 2 books for $4 each and 3 pencils for $1 each. Which number sentence can be used to find the total amount of money in dollars Theo spent?

NS-money spentTheo

2

?

Step 1

Step 4

Step 2

Step 3

3 pencils for $1 each. .

Theo bought 2 books for $4 each and sentence can be used to find the total amount of money in dollars Theo spent?

$4

Which number

$4

$1 $1

Books

Pencils$1

3

4

x 2 8

3

x 1 3

8

+ 3 11

Found the product of 4 and 2.

Found the product of 3 and 1.

Found the sum of the products.

Alex bought lemons that were priced at 2 lemons for 18¢. What was the total cost of 5 lemons?

Cost 5 lemonsAlex

$18

?

____ )18

2 Find the quotient of 18 and 2. Find the product of 9 and 5.

Step 1

Step 4

Step 2

Step 3

Alex bought lemons that were priced at 2 lemons for 18¢. total cost of 5 lemons?

1

What was the

9 9

X 545

lemons2 3 4 5

Theo has 4 old coins: W, X, Y and Z. Coin Y is worth $2. Coin Z is worth 3 times the value of coin Y. Coin W is worth 4 times the value of coin Y. The 4 coins are worth $30 altogether. What is the value of coin X?

Value of coin X

Theo Coin W

Coin X

Coin Y

Coin Z

$2

?

8

2

+ 616

Found sum of 8, 2, and 6.

Found the difference between 16 and 30.

Step 1

Step 4

Step 2

Step 3

Coin Y is worth $2. .

Theo has 4 old coins: W, X, Y and Z. times the value of coin Y. The 4 coins are worth $30 altogether.

Coin Z is worth 3 Coin W is worth 4 times the value of coin Y.

$30

$2 $2 $2$6

$2 $2 $2 $2$8

What is the value of coin X?

30

-1614