Download Unit 1 - Effingham County Schools

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 3,000
b.25,000 and 27,000
c.27,000 and 29,000
d.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.
1,400and 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 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.
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.5 – 12 x 8
b.12 – 5 x 8
c.(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 8
b.9 – 3 ÷ 2 x 8
c.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) + 7
c.2 x (16 ÷ 4) + 7
d.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
670
67
Independent Guided Practice
Which number goes in the blank?
93 x 102 = 9,300
93 x 103 = 93,000
93 x 104 = ________
a.93,000
b.930,000
c.9,300,000
d.93,000,000
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
27,000,000
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.
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Guide Practice
Estimate the following multiplication problem.
603 x 28
Explain the steps you would use in 3 complete
sentences.
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Independent Guide Practice
Estimate the following multiplication problem.
829 x 67
Explain the steps you would use in 3 complete
sentences.
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Independent Practice
Estimate the following multiplication problem.
875 x 79
Explain the steps you would use in 3 complete
sentences.
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Let’s Practice Order of Operations
5x6x2+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 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 deck 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 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 Model
How many thousands can you make from 500
tens?
a.
b.
c.
d.
5,000
500
50
5
Guided Practice
How many hundreds can you make from 300
ones?
a.
b.
c.
d.
3,000
300
30
3
Independent Guided Practice
How many thousands can you make from 200
tens?
a.
b.
c.
d.
2,000
200
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.9 boxes and 4 individual tiles
b.8 boxes and 3 individual tiles
c.7 boxes and 3 individual tiles
d.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 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 tree?
a.2 x 101 feet tall
b.2 x 102 feet tall
c.20 x 101 feet tall
d.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 how
much food they bought.
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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.
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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.
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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.
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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.
11
c. The 5 in 2,584 is 1010 the 5 in 4,653.
d. The 5 in 2,584 is
1
100
the 5 in 4,653.
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.
11
c. The 8 in 2,381 is 100
10 the 8 in 4,852.
d. The 8 in 2,381 is
1
10
the 8 in 4,852.
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.
11
c. The 2 in 9,321 is 10
10 the 2 in 4,852.
d. The 2 in 9,321 is
1
100
the 2 in 4,852.
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.
11
c. The 9 in 2,791 is 100
10 the 9 in 5,972.
d. The 9 in 2,791 is
1
10
the 9 in 5,972.
Teacher Model
Look at the digit 3 in the number below:
78,632
In which number does the digit 3 have 10 times the
value it has in 78,632?
a.
b.
c.
d.
3,487
31,578
74,593
82,369
1
10
Guided Practice
Look at the digit 9 in the number below:
29,243
In which number does the digit 9 have 100 times
the value it has in 29,243?
a.
b.
c.
d.
981,348
87,983
19,358
9,753
1
10
Independent Guided Practice
Look at the digit 1 in the number below:
74,173
In which number does the digit 1 have 100 times
the value it has in 74,173?
a.
b.
c.
d.
72,197
12,872
1,973
9,751
1
10
Independent Practice
Look at the digit 4 in the number below:
74,263
In which number does the digit 4 have 10 times
the value it has in 74,263?
a.
b.
c.
d.
5,487
14,986
42,869
54,697
1
10