Unit 1 Order of Operations and Whole Numbers

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

Guided Practice If you multiply 724 x 54, your answer would be between : a. b. c. d. 37, 000 and 40, 000 32, 000 and 37, 000 29, 000 and 32, 000 3, 000 and 4, 000

Independent Guided Practice If you multiply 512 x 29, your answer would be between : a. b. c. d. 1, 400 and 1, 800 13, 000 and 16, 000 17, 000 and 19, 000 21, 000 and 24, 000

Independent Practice If you multiply 342 x 45, your answer would be between : a. b. c. d. 21, 000 and 27, 000 18, 000 and 20, 000 15, 000 and 17, 000 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 cost $3. How much did he spend?

Guided Independent Practice Caleb wants 100 new pens. Each one cost $2. How much did he spend?

Independent Practice Bill collected money to buy 1000 toy cars for children at Christmas. Each one cost $4. How much does he need collect?

Teacher Model Which expression shows the “the quotient of 12 and 3 increased by 9”? a. b. c. d. 12 x 3 + 9 12 ÷ (3 +9) 12 ÷ 3 + 9 12 + 3 x 9

Guided Practice Which expression shows “subtract 5 from 12 then multiply by 8”? a. b. c. d. 5 – 12 x 8 12 – 5 x 8 (12 – 8) x (12 – 5) 8 x (12 – 5)

Independent Guided Practice Which expression shows “the difference of 9 and 3 divided by 2 multiplied by 8”? a. b. c. d. (9 – 3) ÷ 2 x 8 9– 3÷ 2 x 8 9 – 3 ÷ (2 x 8) 2 x 8– 9÷ 3

Independent Practice Which expression shows “the quotient of 16 and 4 multiplied by 2 increased by 7”? a. b. c. d. 16 ÷ 4 x (2 + 7) 16 x (4 ÷ 2) + 7 2 x (16 ÷ 4) + 7 7 + 16 ÷ (4 x 2)

Teacher Model Which number goes in the blank? 45 x 101 = 450 45 x 102 = 4500 45 x 103 = ____ a. b. c. d. 45 4, 500 45, 000 450, 000

Guided Practice Which number goes in the blank? 67 x 105 = 6, 700, 000 67 x 104 = 670, 000 67 x 103 = ____ a. b. c. d. 67, 000 6, 700 67

Independent Guided Practice Which number goes in the blank? 93 x 102 = 9, 300 93 x 103 = 93, 000 93 x 104 = ____ a. b. c. d. 93, 000 930, 000 9, 300, 000 93, 000

Independent Practice Which number goes in the blank? 27 x 101 = 270 27 x 102 = 2, 700 27 x 103 = ____ a. b. c. d. 270 27, 000 2, 700, 000 27, 000

Teacher Model In the number 2, 222 which statement would be true? a. The digit in the tens place is 100 times the digit in the ones place. b. The digit in the hundreds place is 1/100 of the digit in the ten thousands place. c. The digit in the ones place is 1/10 of the digit in the hundreds place. d. The digit in the thousands place is 1/100 of the digit in the ten thousands place.

Guided Practice In the number 4, 444 which statement would be true? a. The digit in the hundreds place is 1/100 of the digit in the thousands place. b. The digit in the hundreds place is 1/10 of the digit in the ten thousands place. c. The digit in the ones place is 1/100 of the digit in the hundreds place. d. The digit in the thousands place is 1/100 of the digit in the ten thousands place.

Independent Guided Practice In the number 8, 888 which statement would be true? a. The digit in the ten thousands place is 1/100 of the digit in the thousands place. b. The digit in the hundreds place is 1/100 of the digit in the ten thousands place. c. The digit in the ones place is 1/10 of the digit in the hundreds place. d. The digit in the tens place is 1/100 of the digit in the ten thousands place.

Independent Practice In the number 3, 333 which statement would be true? a. The digit in the thousands place is 1/10 of the digit in the ones place. b. The digit in the thousands place is 1/100 of the digit in the ten thousands place. c. The digit in the tens place is 1/10 of the digit in the thousands place. d. The digit in the tens place is 1/100 of the digit in the thousands place.

Teacher Model Which mental math strategy solves the division problem? 2100 50 a. (210 ÷ 50) + 0 b. 21 ÷ 5 c. (2, 000 ÷ 20) + (100 ÷ 1) d. (2, 000 ÷ 50) + (100 ÷ 50)

Guided Practice Which mental math strategy solves the division problem? 1500 10 a. (150 ÷ 10) + 0 b. 15 ÷ 10 c. (1, 000 ÷ 10) + (500 ÷ 0) d. (1, 000 ÷ 10) + (500 ÷ 10)

Independent Guided Practice Which mental math strategy solves the division problem? 1300 20 a. (1, 000 ÷ 10) + (300 ÷ 10) b. 19 ÷ 10 c. (1, 000 ÷ 13) + (300 ÷ 20) d. (1, 000 ÷ 20) + (300 ÷ 20)

Independent Practice Which mental math strategy solves the division problem? 1800 25 a. (1, 000 ÷ 20) + (800 ÷ 5) b. 18 ÷ 25 c. (1, 000 ÷ 25) + (800 ÷ 25) d. (1, 000 ÷ 25) + (1, 000 ÷ 18)

Teacher Model Use the following chart to determine the rule. Rule: Input Output 3 9 4 12 5 15

Guided Practice Use the following chart to determine the rule. Rule: Input Output 28 4 35 5 42 6

Independent Guided Practice Use the following chart to determine the rule. Rule: Input Output 4 32 5 40 6 48

Independent Practice Use the following chart to determine the rule. Rule: Input Output 16 8 14 7 12 6

Teacher Model Estimate the following multiplication problem. 496 x 45 Explain the steps you would use in 3 complete sentences. _______________________________________ _______________________________________

Guide Practice Estimate the following multiplication problem. 603 x 28 Explain the steps you would use in 3 complete sentences. _______________________________________ _______________________________________

Independent Guide Practice Estimate the following multiplication problem. 829 x 67 Explain the steps you would use in 3 complete sentences. _______________________________________ _______________________________________

Independent Practice Estimate the following multiplication problem. 875 x 79 Explain 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 [ 9 ÷ 3 + (4 + 5) ÷ 2 ] ÷ 3 + 9

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

Teacher Model If 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 Practice If a can of stain will cover 50 square feet, about how many cans of stain will be needed to cover a floor that measures 20 feet by 20 feet?

Independent Guided Practice If 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 Model Show 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 washed 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 Model How many thousands can you make from 500 tens? a. b. c. d. 5, 000 50 5

Guided Practice How many hundreds can you make from 300 ones? a. b. c. d. 3, 000 30 3

Independent Guided Practice How many thousands can you make from 200 tens? a. b. c. d. 2, 000 20 2

Teacher Model James 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. b. c. d. 9 boxes and 4 individual tiles 8 boxes and 3 individual tiles 7 boxes and 2 individual tiles 99 boxes an 4 individual tiles

Guided Practice Troy 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. b. c. d. 15 boxes and 4 individual tiles 14 boxes and 1 individual tiles 13 boxes and 9 individual tiles 12 boxes an 4 individual tiles

Independent Guided Practice Davis 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. b. c. d. 6 boxes and 8 individual tiles 80 boxes and 1 individual tiles 7 boxes and 3 individual tiles 8 boxes an 4 individual tiles

Independent Practice Caleb 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. b. c. d. 9 boxes and 1 individual tiles 8 boxes and 10 individual tiles 8 boxes and 5 individual tiles 7 boxes an 8 individual tiles

Teacher Model The 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 4 b. (87 + 72) d. 87 + 72 4 4

Guided Practice The 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 5 b. (93 - 78) d. (93 - 72) 5 5

Independent Guided Practice The 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 4 b. 48 - 31 d. (48 - 31) 4 4

Independent Practice The 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 4 b. 84 - 74 d. 84 + 74 4 4

Teacher Model The 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 Model The building is 10 times the size of the model. If the model is 3 feet tall, how tall is the building? a. b. c. d. 3 x 101 feet tall 3 x 102 feet tall 30 x 100 feet tall 30 x 102 feet tall

Guided Practice The building is 100 times the size of the model. If the model is 5 feet tall, how tall is the building? a. b. c. d. 50 x 101 feet tall 50 x 102 feet tall 5 x 105 feet tall

Independent Guided Practice The tree is 10 times the size of the model. If the model is 2 feet tall, how tall is the building? a. b. c. d. 2 x 101 feet tall 2 x 102 feet tall 20 x 101 feet tall 20 x 100 feet tall

Independent Practice The building is 100 times the size of the model. If the model is 4 feet tall, how tall is the building? a. b. c. d. 4 x 104 feet tall 4 x 102 feet tall 40 x 101 feet tall 40 x 104 feet tall

Teacher Model For 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 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 many points each team scored. __________________________________________

Independent Guided Practice Mrs. Calhoun buys 2 basketballs for $8 each, 4 kick balls for $7 each, and 2 footballs for $9 each. Mr. Iten buys 3 basketballs for $8 each, 2 kick balls for $7 each, and 3 footballs for $9 each. **Write algebraic expressions to show 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 many points each team scored. __________________________________________