Unit 1: Order of Operations and Whole Numbers

Test Review

Teacher Model

Interpret 7 + (2 x 3) ÷ 5

Guided Practice

Interpret (12 – 6) 3 + 7

Guided Independent Practice

Interpret 4 + (3 x 8)

Independent Practice

Interpret 9 ( 12 – 9) ÷ 3

Teacher Model

If you multiply 395 x 76, your answer would be between :

a.2,500 and 3,000b.25,000 and 27,000c.27,000 and 29,000d.30,000 and 35,000

Guided Practice

If you multiply 724 x 54, your answer would be between :

a.37,000 and 40,000b.32,000 and 37,000c.29,000 and 32,000d.3,000 and 4,000

Independent Guided Practice

If you multiply 512 x 29, your answer would be between :

a.1,400and 1,800b.13,000 and 16,000c.17,000 and 19,000d.21,000 and 24,000

Independent Practice

If you multiply 342 x 45, your answer would be between :

a.21,000 and 27,000b.18,000 and 20,000c.15,000 and 17,000d.12,000 and 14,000

Teacher Model

Sally bought 1,000 pencils for $2 each.How much did she spend?

Guided Practice

John has 100 plane models. Each one costs $3. How much did he spend?

Guided Independent Practice

Caleb wants 100 new pens. Each one costs $2. How much will he spend?

Independent Practice

Bill wants to buy 1000 toy cars for children at Christmas. Each one costs $4. How much does he need to collect?

Teacher Model

Which expression shows the “the quotient of 12 and 3 increased by 9”?

a.12 x 3 + 9b.12 ÷ (3 +9)c.12 ÷ 3 + 9d.12 + 3 x 9

Guided Practice

Which expression shows “subtract 5 from 12 then multiply by 8”?

a.5 – 12 x 8b.12 – 5 x 8c.(12 – 8) x (12 – 5) d.8 x (12 – 5)

Independent Guided Practice

Which expression shows “the difference of 9 and 3 divided by 2 multiplied by 8”?

a.(9 – 3) ÷ 2 x 8b.9 – 3 ÷ 2 x 8c.9 – 3 ÷ (2 x 8)d.2 x 8 – 9 ÷ 3

Independent Practice

Which expression shows “the quotient of 16 and 4 multiplied by 2 increased by 7”?

a.16 ÷ 4 - (2 + 7)b.16 x (4 ÷ 2) + 7c.2 x (16 ÷ 4) + 7 d.7 + 16 ÷ (4 x 2)

Teacher ModelWhich number goes in the blank? 45 x 101 = 450 45 x 102 = 4500 45 x 103 = ________

a.45b.4,500c.45,000d.450,000

Guided Practice Which number goes in the blank? 67 x 105 = 6,700,000 67 x 104 = 670,00067 x 103 = ________

a.67,000b.6,700c.670d.67

Independent Guided Practice Which number goes in the blank? 93 x 102 = 9,300 93 x 103 = 93,000 93 x 104 = ________

a.93,000b.930,000c.9,300,000d.93,000,000

Independent Practice Which number goes in the blank? 27 x 101 = 270 27 x 102 = 2,700 27 x 103 = ________

a.270b.27,000c.2,700,000d.27,000,000

Teacher ModelWhich mental math strategy solves the division problem?

210050

a. (210 ÷ 50) + 0b. 21 ÷ 5c. (2,000 ÷ 20) + (100 ÷ 1) d. (2,000 ÷ 50) + (100 ÷ 50)

Guided Practice Which mental math strategy solves the division problem?

150010

a. (150 ÷ 10) + 0b. 15 ÷ 10c. (1,000 ÷ 10) + (500 ÷ 0) d. (1,000 ÷ 10) + (500 ÷ 10)

Independent Guided PracticeWhich mental math strategy solves the division problem?

130020

a. (1,000 ÷ 10) + (300 ÷ 10) b. 19 ÷ 10c. (1,000 ÷ 13) + (300 ÷ 20) d. (1,000 ÷ 20) + (300 ÷ 20)

Independent PracticeWhich mental math strategy solves the division problem?

180025

a. (1,000 ÷ 20) + (800 ÷ 5) b. 18 ÷ 25c. (1,000 ÷ 25) + (800 ÷ 25) d. (1,000 ÷ 25) + (1,000 ÷ 18)

Teacher ModelUse the following chart to determine the rule.

Rule:

Input Output

3 9

4 12

5 15

Guided PracticeUse the following chart to determine the rule.

Rule:

Input Output

28 4

35 5

42 6

Independent Guided PracticeUse the following chart to determine the rule.

Rule:

Input Output

4 32

5 40

6 48

Independent PracticeUse the following chart to determine the rule.

Rule:

Input Output

16 8

14 7

12 6

Teacher ModelEstimate the following multiplication problem.

496 x 45Explain the steps you would use in 3 complete sentences. __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Guide Practice Estimate the following multiplication problem.

603 x 28Explain the steps you would use in 3 complete sentences. __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Independent Guide Practice Estimate the following multiplication problem.

829 x 67Explain the steps you would use in 3 complete sentences. __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Independent Practice Estimate the following multiplication problem.

875 x 79Explain the steps you would use in 3 complete sentences. __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Let’s Practice Order of Operations 5 x 6 x 2 + 7 =

Let’s Practice Order of Operations [ 15 ÷ 3 + (4 + 5) ÷ 3 ] ÷ 8 + 9

Let’s Practice Order of Operations { 4 + [6 (5 – 2) ÷ 3] – 5}

Teacher ModelIf a box of tile will cover 25 square feet, about how many boxes of tile will be needed to cover a floor that measures 15 feet by 10 feet?

Guided PracticeIf a can of stain will cover 50 square feet, about how many cans of stain will be needed to cover a deck that measures 20 feet by 20 feet?

Independent Guided PracticeIf a can of paint will cover 25 square feet, about how many cans of paint will be needed to cover a wall that measures 20 feet by 10 feet?

Teacher ModelShow your answer in this format: 5 x 102 = 500

You wash cars for $20 a car.

How much money would you make if you washed 100 cars?

How much for 1,000 cars?

Guided Practice Show your answer in this format: 5 x 102 = 500

You clean windows for $5 a window.

How much money would you make if you washed 10 windows?

How much for 100 windows?

Independent Guided Practice Show your answer in this format: 5 x 102 = 500

You cut grass for $25 a yard.

How much money would you make if you cut 100 yards?

How much for 1000 yards?

Independent Practice Show your answer in this format: 5 x 102 = 500

You baby sit for $20 a day.

How much money would you make if you baby sat for 10 days?

How much for 100 days?

Teacher ModelHow many thousands can you make from 500 tens?

a.5,000b.500c.50d.5

Guided Practice How many hundreds can you make from 300 ones?

a.3,000b.300c.30d.3

Independent Guided Practice How many thousands can you make from 200 tens?

a.2,000b.200c.20d.2

Teacher ModelJames needs to buy tile for his bathroom floor. The tiles are sold individually or in boxes of 12 tiles. Each tile is 1 square foot. If the bathroom is 11 feet by 9 feet, how many boxes and individual tiles should he buy if he wants the exact number of tiles to cover the floor?

a.9 boxes and 4 individual tilesb.8 boxes and 3 individual tilesc.7 boxes and 3 individual tilesd.99 boxes an 4 individual tiles

Guided PracticeTroy needs to buy tile for his kitchen floor. The tiles are sold individually or in boxes of 15 tiles. Each tile is 1 square foot. If the kitchen is 12 feet by 17 feet, how many boxes and individual tiles should he buy if he wants the exact number of tiles to cover the floor?

a.15 boxes and 4 individual tilesb.14 boxes and 1 individual tilesc.13 boxes and 9 individual tilesd.12 boxes an 4 individual tiles

Independent Guided PracticeDavis needs to buy tile for his foyer floor. The tiles are sold individually or in boxes of 12 tiles. Each tile is 1 square foot. If the foyer is 8 feet by 10 feet, how many boxes and individual tiles should he buy if he wants the exact number of tiles to cover the floor?

a.6 boxes and 8 individual tilesb.80 boxes and 1 individual tilesc.7 boxes and 3 individual tilesd.8 boxes an 4 individual tiles

Independent PracticeCaleb needs to buy tile for his bathroom floor. The tiles are sold individually or in boxes of 15 tiles. Each tile is 1 square foot. If the bathroom is 13 feet by 10 feet, how many boxes and individual tiles should he buy if he wants the exact number of tiles to cover the floor?

a.9 boxes and 1 individual tilesb.8 boxes and 10 individual tilesc.8 boxes and 5 individual tilesd.7 boxes an 8 individual tiles

Teacher ModelThe fifth grade students are going on a field trip. Of the 87 students, 72 of them will ride the buses. The remainder of them will ride in cars that can hold up to four students each. Which expression can be used to find the number of cars needed?a.87 – 72 c. (87 – 72) 4 4b.(87 + 72) d. 87 + 72 4 4

Guided PracticeThe football team is going out of town for a game. Of the 93 players, 78 of them will ride the buses. The remainder of them will ride in cars that can hold up to five students each. Which expression can be used to find the number of cars needed?a.93 + 72 c. 93 – 78 5 5b.(93 - 78) d. (93 - 72) 5 5

Independent Guided PracticeThe Boy Scouts are going out of town for a camping trip. Of the 48 boys, 31 of them will ride the buses. The remainder of them will ride in cars that can hold up to four scouts each. Which expression can be used to find the number of cars needed?a.(48 + 31) c. 48 + 31 4 4b.48 - 31 d. (48 - 31) 4 4

Independent PracticeThe fifth grade is going on a field trip. Of the 84 students, 72 of them will ride the buses. The remainder of them will ride in cars that can hold up to four students each. Which expression can be used to find the number of cars needed?a.(84 - 72) c. (84 + 72) 4 4b.84 - 74 d. 84 + 74 4 4

Teacher ModelThe length of a road is 256 feet. Josh wants to plant trees 12 feet apart along the road. Josh estimates that he can plant 18 trees. Is he correct and how do you know?

a.Yes he is correct because 18 trees at 12 feet apart would fit along a 256 ft. road. b.Yes he is correct because 12 trees at 18 feet apart would fit along a 256 ft. road. c.No he is not correct because 18 trees at 12 feet apart would take more than 256 ft.d.No he is not correct because more than 18 trees would fit on a 256 foot road.

Guided Practice The length of a road is 287 feet. Beka wants to plant bushes 15 feet apart along the road. Beka estimates that she can plant 21 trees. Is she correct and how do you know?

a.Yes she is correct because 21 bushes at 15 feet apart would fit along a 287 ft. road. b.Yes she is correct because 15 bushes at 21 feet apart would fit along a 287 ft. road. c.No she is not correct because 21 bushes at 15 feet apart would take more than 287 ft.d.No she is not correct because more than 21 bushes would fit on a 287 foot road.

Independent Guided Practice The length of a road is 213 feet. John wants to plant trees 18 feet apart along the road. John estimates that he can plant 13 trees. Is he correct and how do you know?

a.Yes he is correct because 18 trees at 13 feet apart would fit along a 213 ft. road. b.Yes he is correct because 13 trees at 18 feet apart would fit along a 213 ft. road. c.No he is not correct because 13 trees at 18 feet apart would take more than 213 ft.d.No he is not correct because more than 13 trees would fit on a 213 foot road.

Independent Practice The length of a road is 248 feet. Ken wants to plant trees 15 feet apart along the road. Ken estimates that he can plant 18 trees. Is he correct and how do you know?

a.Yes he is correct because 15 trees at 18 feet apart would fit along a 248 ft. road. b.Yes he is correct because 18 trees at 15 feet apart would fit along a 248 ft. road. c.No he is not correct because 18 trees at 15 feet apart would take more than 248 ft.d.No he is not correct because more than 18 trees would fit on a 248 foot road.

Teacher ModelThe building is 10 times the size of the model. If the model is 3 feet tall, how tall is the building?

a.3 x 101 feet tallb.3 x 102 feet tallc.30 x 100 feet talld.30 x 102 feet tall

Guided PracticeThe building is 100 times the size of the model. If the model is 5 feet tall, how tall is the building?

a.50 x 101 feet tallb.50 x 102 feet tallc.5 x 102 feet talld.5 x 105 feet tall

Independent Guided PracticeThe tree is 10 times the size of the model. If the model is 2 feet tall, how tall is the tree?

a.2 x 101 feet tallb.2 x 102 feet tallc.20 x 101 feet talld.20 x 100 feet tall

Independent PracticeThe building is 100 times the size of the model. If the model is 4 feet tall, how tall is the building?

a.4 x 104 feet tallb.4 x 102 feet tallc.40 x 101 feet talld.40 x 104 feet tall

Teacher ModelFor a party, Jill bought 3 cakes for $20 each, 5 dozen cookies for $8 each, and 2 pies for $17 each. Emily bought 2 cakes for $20 each, 7 dozen cookies for $8 each, and 4 pies for $17 each. **Write algebraic expressions to show how much food they bought.____________________________________________________________________________________________________________________________________________________________

Guided Practice In a football game, you get 6 points for each touchdown, 1 point for each extra point, and 3 points for each field goal. The Mustangs scored 4 touchdowns, 2 extra points, and 1 field goal. The Rebels scored 3 touchdowns, 3 extra points and 2 field goals. **Write algebraic expressions to show how many points each team scored.________________________________________________________________________________________________________________________________________________________________________

Independent Guided Practice Mrs. Calhoun buys 2 basketballs for $8 each, 4 kick balls for $7each, and 2 footballs for $9 each. Mr. Iten buys 3 basketballs for $8 each, 2 kick balls for $7each, and 3 footballs for $9 each.

**Write algebraic expressions to show how many playground balls they bought.________________________________________________________________________________________________________________________________________________________________________

Independent Practice In a football game, you get 6 points for each touchdown, 1 point for each extra point, and 3 points for each field goal. The Falcons scored 5 touchdowns, 3 extra points, and 2 field goal. The Jaguars scored 2 touchdowns, 2 extra points and 4 field goals. **Write algebraic expressions to show how many points each team scored.________________________________________________________________________________________________________________________________________________________________________

Teacher Model How is the 5 in 2,584 related to the 5 in 4,653?

a. The 5 in 2,584 is 10 times greater than the 5 in 4,653.

b. The 5 in 2,584 is 100 times greater than the 5 in 4,653.

c. The 5 in 2,584 is the 5 in 4,653.

d. The 5 in 2,584 is the 5 in 4,653.

1

10 110

1100

Guided Practice How is the 8 in 2,381 related to the 8 in 4,852?

a. The 8 in 2,381 is 100 times greater than the 8 in 4,852.

b. The 8 in 2,381 is 10 times greater than the 8 in 4,852.

c. The 8 in 2,381 is the 8 in 4,852.

d. The 8 in 2,381 is the 8 in 4,852.

1

10 1100

110

Independent Guided Practice How is the 2 in 9,321 related to the 2 in 4,852?

a. The 2 in 9,321 is 10 times greater than the 2 in 4,852.

b. The 2 in 9,321 is 100 times greater than the 2 in 4,852.

c. The 2 in 9,321 is the 2 in 4,852.

d. The 2 in 9,321 is the 2 in 4,852.

1

10 110

1100

Independent Practice How is the 9 in 2,791 related to the 9 in 5,972?

a. The 9 in 2,791 is 100 times greater than the 9 in 5,972.

b. The 9 in 2,791 is 10 times greater than the 9 in 5,972.

c. The 9 in 2,791 is the 9 in 5,972.

d. The 9 in 2,791 is the 9 in 5,972.

1

10 1100

110

Teacher Model Look at the digit 3 in the number below:

78,632In which number does the digit 3 have 10 times thevalue it has in 78,632?

a. 3,487b. 31,578c. 74,593d. 82,369

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10

Guided Practice Look at the digit 9 in the number below:

29,243In which number does the digit 9 have 100 timesthe value it has in 29,243?

a. 981,348b. 87,983c. 19,358d. 9,753

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10

Independent Guided Practice Look at the digit 1 in the number below:

74,173In which number does the digit 1 have 100 timesthe value it has in 74,173?

a. 72,197b. 12,872c. 1,973d. 9,751

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10

Independent Practice Look at the digit 4 in the number below:

74,263In which number does the digit 4 have 10 timesthe value it has in 74,263?

a. 5,487b. 14,986c. 42,869d. 54,697

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