
1/6/24-Order of Operations and Evaluating Expressions
Presentation
•
Mathematics
•
6th - 8th Grade
•
Hard
Standards-aligned
GEMPS MICHELOT
Used 1+ times
FREE Resource
22 Slides • 183 Questions
1
Math and ELA Practice
1/6/24 Students will practice Math and ELA skills
2
Order of Operations and Evaluating Expressions
3
Order of Operations
Lesson Objective: Students will solve math
problems using the order of operations
4
Critical Thinking~ Following Directions
(In your math notebook)
Describe why it is important to follow steps in
order in life. When could it cause serious
problems if you didn’t follow particular steps?
How can this relate to mathematics?
5
Order of Operations
6
Order of Operations
*Always multiply and
divide from left to right
*Always add and
subtract from left to right
*Inside (parentheses),
always follow the order
of operations
P
E
M D
A S
Parentheses () {} []
Exponents & Roots
Multiply
Divide
Add
Subtract
7
Order of Operations
Base
Exponent
Power
8
Example of Order of Operations
17 - 5 x 5 ÷ (2 + 3)
17- 25 ÷ 5
17 - 5 = 12
9
10
Now Solve the problems in the remaining slides you can work with a partner but show all your work!
11
Multiple Choice
-2 x (3 + 8 ÷ 4)2
-16
1.375
4
-50
12
Multiple Choice
16
77
79
13
Multiple Choice
[25-(13+4)+4] ÷ 3
6
2
3
4
14
Fill in the Blank
Type answer...
15
Multiple Choice
-8 + (15-3) ÷ 4
-5
1
-11
11
16
Fill in the Blank
Type answer...
17
Multiple Choice
(2 + 7 - 1) ÷ 22
18
Reorder
What is the order of the steps for the following expression? 50- 16 ÷ 2 x (12-4)2
parentheses
exponent
division
multiplication
subtraction
19
Multiple Choice
90 - 3(52 )
15
240
195
20
Fill in the Blank
Type answer...
21
Multiple Choice
22
Fill in the Blank
Type answer...
23
Multiple Choice
24
Fill in the Blank
Type answer...
25
Multiple Choice
26
Multiple Choice
5 - 3 + 2
5 - 5
0
There is no error.
Addition was done first and you should have subtracted first
There is a subtraction error
27
Fill in the Blank
Type answer...
28
Multiple Choice
29
Reorder
Put in the order the operations would be done:
(18 - 14)2 - 6 x 10
16 - 60
30
Multiple Choice
31
Fill in the Blank
Type answer...
32
Multiple Choice
38
251
53
50
33
Fill in the Blank
Type answer...
34
Multiple Choice
11.3
28
13
35
Multiple Choice
250
199
400
288
36
Fill in the Blank
Type answer...
37
Multiple Choice
5.25
5
25
15
38
Fill in the Blank
Type answer...
39
Multiple Choice
40
32
24
42
40
Multiple Choice
Pick the correct order for Order of Operations
Parentheses, Multiplication, Division, Addition, Exponents, Subtraction
Exponents, Multiplication, Division, Addition, Parentheses, Subtraction
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
41
Multiple Choice
3(22 ) + 24 ÷ 8
15
10.5
4.5
42
Fill in the Blank
Type answer...
43
Multiple Choice
44
Multiple Choice
100
96
90
127
45
Multiple Choice
Find and explain the error.
5 - 3 + 2
5 - 5
0
There is no error.
Addition was done first and you should have subtracted first
They added wrong numbers
Multiplied worng
46
Fill in the Blank
Type answer...
47
Multiple Choice
Simplify
232
278
332
488
48
Multiple Choice
49
Multiple Choice
[25-(13+4)+4] ÷ 3
6
2
3
4
50
Multiple Choice
51
Multiple Choice
-7
23
-9
43
52
Multiple Choice
In PEMDAS, what does the M stand for?
Masterful
McDonald
Math
Multiplication
53
Multiple Choice
54
Multiple Choice
55
Multiple Choice
45
7
3
12
56
Multiple Choice
3[(4 + 6) ÷ 2]
15
21
9
12
57
Multiple Choice
5.25
5
25
15
58
Multiple Choice
Addition ALWAYS comes before subtraction.
True
False
59
Multiple Choice
Simplify!
8
5
-8
0
60
Multiple Choice
100
793
67
49
61
Multiple Choice
62
Multiple Choice
63
Multiple Choice
Simplify!
14
-2
5
22
64
Multiple Choice
65
Multiple Choice
Simplify!
1
-2
15
10
66
Multiple Choice
Addition ALWAYS comes before subtraction.
True
False
67
Multiple Choice
Simplify!
2
3
4
5
68
Multiple Choice
addition
multiplication
subtraction
exponents
69
Multiple Choice
Simplify!
-1
1
0
2
70
Multiple Choice
2 + (4 x 5 - 2) + 8 = 28
True
False
71
Multiple Choice
16
77
79
72
Multiple Choice
Simplify!
7
5
-7
-5
73
Multiple Choice
5 - 62 ÷ 4 - 3
1
-10.75
-31
-7
74
Multiple Choice
Simplify!
5
9
-18
-9
75
Multiple Choice
63
62
50
27
76
Multiple Choice
Simplify!
1
-4
-1
2
77
Multiple Choice
Exceptional
Egg
Exponent
78
Multiple Choice
3 x 2
3 x 3
2 x 2 x 2
79
Multiple Choice
Simplify!
-12
9
-13
4
80
Multiple Choice
(2 + 7 - 1) ÷ 22
16
2
72.25
8.75
81
Multiple Choice
Simplify!
-6
4
6
-8
82
Multiple Choice
Simplify! TALK TO MR. MICHELOT ABOUT THIS PROBLEM CAN BE TRICKY!!!!!!!!
70
-8
87
77
83
Multiple Choice
Simplify! TALK TO MR. MICHELOT ABOUT THIS PROBLEM CAN BE TRICKY!!!!!!!!
4
-15
23
15
84
Reorder
Order the operations you would use to Simplify:
-2 ⋅ (3 + 8 ÷ 4)2
Division
Addition
Exponents
Multiplication
85
This ends the Order of Operations Portion! Please take a break and wait for Mr. Michelot to direct you to the next activity which is EVALUATING EXPRESSIONS.
86
Evaluating Expressions
Lesson Objective: Students will evaluate algebraic expressions with positive and negative integers.
87
88
Fill in the Blank
Type answer...
89
Fill in the Blank
Type answer...
90
Fill in the Blank
Type answer...
91
Fill in the Blank
92
Multiple Choice
Evaluate m2 if m = 7
42
43
49
51
93
Multiple Choice
Evaluate x ÷ 4 if x = 80
4
20
40
80
94
Multiple Choice
Evaluate n3 if n = 4
12
16
32
64
95
Multiple Choice
Evaluate m - n if m = 29 and n = 11
29
28
19
18
96
Multiple Choice
97
Multiple Choice
What is -3 + 4 -12 +17 - 23
14
37
-17
-15
98
Multiple Choice
99
Multiple Choice
3x + 4 when x = -2
100
Multiple Choice
-8 + (15 - 3) ÷ 4
101
Multiple Choice
5m + 9n if m = -7 and n = 4
71
1
-1
-71
102
Multiple Select
One number is 4 times as large as another. Their sum is 45. What are the numbers? Select the two that apply.
6
9
12
27
36
103
Multiple Choice
The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers.
12 and 24
31 and 43
24 and 36
51 and 63
104
Multiple Choice
The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches, find the dimensions of the rectangle.
9 in by 12 in
3 in by 14 in
10 in by 11 in
8 in by 13 in
105
Multiple Choice
Find two consecutive numbers whose sum is 115.
57 and 58
44 and 45
56 and 57
225 and 226
106
Multiple Choice
p + 95 = 215
What is the best first step to solve this equation?
Add 95 to both sides.
Subtract 215 from both sides.
Subtract 95 from both sides.
Subtract "p" from both sides.
107
Multiple Choice
Marco and Polo are making the world's largest apple pie. They will need 215 apples. Marco has already picked 95 apples. How many apples will Polo need to pick so they have enough?
Select the equation that best describes this problem.
p - 95 = 215
215 + p = 95
p + 95 = 215
95p = 215
108
Fill in the Blank
Type answer...
109
Multiple Choice
5s=3
Find s
15
53
1.667
8
110
Multiple Choice
Johnny borrowed $270 from you and he needs 3 months to pay it back. How much money does he need to give you each month?
This problem can be shown by the equation
3m = 270
What are the steps and solution to this problem?
Divide both sides by 3, m = 90
Multiply both sides by 3, m = 810
Subtract 3 from both sides, m = 267
none of these
111
Fill in the Blank
Type answer...
112
Fill in the Blank
Type answer...
113
Multiple Choice
n+2
n+4
n+6
2n
4n
6n
n+2
n+3
n+4
n+1
n+2
n+3
114
Multiple Choice
115
Multiple Choice
116
Multiple Choice
117
118
Multiple Choice
119
Multiple Choice
120
Multiple Choice
121
Multiple Choice
122
Multiple Choice
123
Multiple Choice
124
Multiple Choice
125
Multiple Choice
126
Multiple Choice
127
Multiple Choice
128
Multiple Choice
129
Multiple Choice
130
Multiple Choice
131
Multiple Choice
132
Multiple Choice
133
Reading skills
main idea and supporting details
What do you think the different between main idea and supporting details?
134
Multiple Choice
135
Multiple Choice
What is non-fiction?
tall tales
Historical Fiction
realistic fiction
informational text
136
Multiple Choice
137
138
Multiple Choice
139
140
Multiple Choice
141
142
Multiple Choice
There are many fun things to do at the beach. Swimming is one thing that can be done at the beach. Snorkeling is another thing that can be enjoyed. Playing beach volleyball can be a lot of fun. It is also fun to look for shells. Some people simply like to sunbathe.
What is the main idea?
There are many fun things to do at the beach.
It is also fun to look for shells.
Some people simply like to sunbathe.
Going to the beach to swim can be fun.
143
Multiple Choice
What is the main idea?
144
Multiple Choice
What is the main idea?
145
Multiple Choice
What is the main idea?
146
Multiple Choice
Which of the following is NOT a supporting detail?
147
Match
Topic
Main Idea
Conclusion
Analogy
Subject
the person or thing the passage is about--usually one or two words
the central or most important idea about a topic that the writer wants to communicate to readers.
an ending or wrap-up for your writing
A similarity or comparison between two different things or the relationship between them.
The topic of a text. What the text is about.
the person or thing the passage is about--usually one or two words
the central or most important idea about a topic that the writer wants to communicate to readers.
an ending or wrap-up for your writing
A similarity or comparison between two different things or the relationship between them.
The topic of a text. What the text is about.
148
what is main idea and supporting details
Everything we read has a main idea, or theme, and details.
The main idea is what the writing is mostly about. Details in the writing support the main idea.
Some text here about the topic of discussion
149
Multiple Choice
A main idea is...
OPINION BASED evidence
The main point or most important idea that the writer is communicating
The key points, examples, evidence to support or elaborate on the main idea.
A summary of a text that only includes factual information.
150
Multiple Choice
Supporting Details are...
OPINION BASED evidence
The main point or most important idea that the writer is communicating
The key points, examples, evidence to support or elaborate on the main idea.
A summary of a text that only includes factual information.
151
Multiple Choice
152
A paragraph also tells one main idea. Read the following paragraph. Underline the details, and answer the questions that follow.
The bullfrog is the largest frog in North America. It can grow to 18 inches long and weigh over one pound. But, as grand as the bullfrog may seem, the African giant frog is the king of frogs. This huge amphibian can grow as long as 26 inches. Even more impressive, it can tip the scales at over 10 pounds. Try picking up a 10-pound bowling ball next time you go to a bowling alley.
Bowling balls can weigh as much as 16 pounds. If there were a crown for the king of frogs, the African giant frog would surely be wearing it.
3. What is the paragraph mostly about?___________________________________
4. Cross out the sentence that does not support the main idea.
Subject | Subject
Some text here about the topic of discussion
153
write two details that support the main idea below
Alexander works hard to learn to play different instruments.
Some text here about the topic of discussion
154
Multiple Choice
The ice cream cone was invented in 1904. It all started at the St. Louis World's fair when an ice cream vendor ran out of dishes for his ice cream. A man named Ernest Hamwi was selling waffles in the booth next to him. He helped his neighbor out by making cone-shaped waffles to hold the ice cream. The rest is history.
What is the main idea?
Ernest Hamwi is important to history.
Ice cream is a very popular treat.
The ice cream cone was invented in 1904.
The World Fair in St. Louis ran out of ice cream.
155
Multiple Choice
Robots are being used in sumo wrestling contests. Sumo wrestling is a sport that started in Japan. It takes place in a ring. Two players try to score points by holding each other down or pushing each other out of the ring. Robot sumo uses robots instead of humans. The robot that scores the most points wins.
156
Multiple Choice
If you are feeling sad, you can make yourself feel better by doing a few simple things. You can take a walk (or get another form of exercise), you can talk to a friend, or you can write down your feelings. Writing down the good things in your life will help too. Doing something good for someone else will also help you feel better. If you still feel a little sad, act happy. It works like magic to make you feel better!
What is the main idea?
Sometimes people feel sad
You should do good things for others
We're not always happy.
There are many ways to make yourself feel better.
157
Multiple Choice
Mother gorillas do a lot for their babies. They nurse their babies. They protect them from danger. And they teach the tiny gorillas how to get along with other gorillas.
158
Multiple Choice
A
B
C
D
159
Multiple Choice
Lucia snatched up the dirty clothes that were strewn across the floor and haphazardly tossed them into the laundry basket her mother had placed outside the door. Then, she organized her desk, cramming markers, glue sticks, and other tools of the learning trade wherever they would fit inside the drawers. She jammed trash into the wastebasket until not one more piece could fit and pulled the bag out to take downstairs. Finally, she made her bed and summoned for her mother to come do her white-glove inspection.
What can the reader infer about Lucia based on her actions in the selection?
She does not share her mother’s idea of what a clean room looks like.
She is a hard-working student who strives to do her best.
She likes being neat and organized.
She is usually running late, which causes her to leave a mess behind.
160
Multiple Choice
A
B
C
D
161
Multiple Choice
Lucia snatched up the dirty clothes that were strewn across the floor and haphazardly tossed them into the laundry basket her mother had placed outside the door. Then, she organized her desk, cramming markers, glue sticks, and other tools of the learning trade wherever they would fit inside the drawers. She jammed trash into the wastebasket until not one more piece could fit and pulled the bag out to take downstairs. Finally, she made her bed and summoned for her mother to come do her white-glove inspection.
Read this sentence from the story.
Finally, she made her bed and summoned for her mother to come do her white-glove inspection.
Based on this sentence, the reader can conclude that Lucia’s mother —
is concerned about the bed being made correctly
wears gloves to protect her hands while she cleans
has high standards for cleanliness
insists that Lucia make her bed every day
162
Multiple Choice
A
B
C
D
163
Multiple Choice
Jose desperately wanted to finish his homework before he arrived home. His gaming system had patiently waited the entire day for his return. He couldn’t disappoint it. Just thinking about the fun they would have together was distracting enough, but the noise generated by the other kids talking and laughing around him made it nearly impossible to concentrate. With the decibel level of the engine and the squeaking of the brakes at every stop added in, there was no way he could finish his homework here. Jose conceded that he would indeed have to let his faithful companion down.
Jose’s thoughts in this paragraph help the reader understand that he —
does not get along well with other children
is a responsible boy who is committed to his priorities
cares less about his studies than he does playing video games
is easily irritated when things do not go as he has planned
164
Multiple Choice
A
B
C
D
165
Multiple Choice
Jose desperately wanted to finish his homework before he arrived home. His gaming system had patiently waited the entire day for his return. He couldn’t disappoint it. Just thinking about the fun they would have together was distracting enough, but the noise generated by the other kids talking and laughing around him made it nearly impossible to concentrate. With the decibel level of the engine and the squeaking of the brakes at every stop added in, there was no way he could finish his homework here. Jose conceded that he would indeed have to let his faithful companion down.
Based on Jose’s description of his surroundings, the reader can conclude that he is —
in office hours with his homeroom teacher
traveling home from a trip with parents
in the cafeteria at school
riding home on a school bus
166
Multiple Choice
A
B
C
D
167
Multiple Choice
Cami was just beginning to understand why her best friend, Julia, loved riding horses so much. When Julia had first asked her to join her for a Saturday ride through the canyon, Cami was hesitant. She had never been on a horse before, and they were such large, powerful creatures. An hour into the ride, she was having a blast. Smokey, the painted stallion she was riding, was so passive and minded her every command with ease. That was until without warning he reared up on its hind legs, pawed at the air and neighed loudly. Cami tightened her legs around Smokey’s body and pulled back firmly on the reins.
Why was Cami most likely hesitant to go horseback riding with her friend?
She was worried that she would laugh at her lack of equestrian skills.
She already had plans for Saturday afternoon.
She did not want to look foolish next to Julia who was an experienced rider.
She feared that the horses might harm her.
168
Multiple Choice
A
B
C
D
169
Multiple Choice
Cami was just beginning to understand why her best friend, Julia, loved riding horses so much. When Julia had first asked her to join her for a Saturday ride through the canyon, Cami was hesitant. She had never been on a horse before, and they were such large, powerful creatures. An hour into the ride, she was having a blast. Smokey, the painted stallion she was riding, was so passive and minded her every command with ease. That was until without warning he reared up on its hind legs, pawed at the air and neighed loudly. Cami tightened her legs around Smokey’s body and pulled back firmly on the reins.
Based on the horse’s actions at the end of the paragraph, the reader can conclude that —
Cami will be thrown from the horse and suffer an injury
the stallion was spooked by something on the trail
Cami will get control of the horse and continue the ride
Smokey has a playful side to him
170
Multiple Choice
A
B
C
D
171
Multiple Choice
As his mother laid on the horn from outside, Tom ran down the stairs, grabbed his backpack from the kitchen, and quickly snatched a Pop Tart from the open box on the counter. As he hurried out the front door, he reminded himself that he would be 16 in just one month. Then, he would never have to depend on anyone else for a ride to school.
The author most likely included Tom’s thoughts to show that —
his mother insists that he be to school before the tardy bell
he knows that it is important to be on time
his mother is an impatient person
he is frustrated with his situation
172
Draw
What is the acronym for author's purpose?
173
Multiple Choice
Breathing heavily, Lulu plopped down on the front porch step. She wiped the sweat from her face and drained the entire bottle of water in one gulp.
Lulu’s actions in the sentence help the reader understand that —
she lives in Houston
it is a hot and muggy day
she just arrived home from school
a dog was chasing her
174
Fill in the Blank
Type answer...
175
Multiple Choice
As she stood in the line with her mother, Sanjy heard the people around her talking. They were claiming that this was the most important election in the past 50 years. She didn’t quite understand why, but she knew it must be true. Her mother had brought her along to “witness history in the making” and had said they would wait in the line all night long if they had to. She had even brought a bag of snacks and a blanket, just in case Sanjy got hungry and tired. The little girl stretched her neck from side to side to look at the line in front of and behind them. The line of voters seemed to be growing by the second, and no one appeared to mind the long wait. It looked like they really would be spending the night with strangers.
Read this sentence from the story.
Her mother had brought her along to “witness history in the making” and had said they would wait in the line all night long if they had to.
What can the reader infer about Lucia’s mother based on this sentence?
She thinks that history is he most important subject in school.
She believes that it is important to expose Sanjy to life-changing events.
She is a stubborn woman.
She doesn’t like being alone in a crowd.
176
Fill in the Blank
Type answer...
177
Multiple Choice
As she stood in the line with her mother, Sanjy heard the people around her talking. They were claiming that this was the most important election in the past 50 years. She didn’t quite understand why, but she knew it must be true. Her mother had brought her along to “witness history in the making” and had said they would wait in the line all night long if they had to. She had even brought a bag of snacks and a blanket, just in case Sanjy got hungry and tired. The little girl stretched her neck from side to side to look at the line in front of and behind them. The line of voters seemed to be growing by the second, and no one appeared to mind the long wait. It looked like they really would be spending the night with strangers.
Read this sentence from the story.
The line of voters seemed to be growing by the second, and no one appeared to mind the long wait.
Why does the author include this description of the line?
To show that the voters were determined to cast their vote no matter what.
To explain why Sanjy and her mother would be waiting in line all night.
To suggest that there as going to be a riot.
To explain why Sanjy’s mother had brought snacks and a blanket.
178
Fill in the Blank
Type answer...
179
Multiple Choice
In a non-fiction article, what is usually the author's purpose?
Persuade
Inform
Entertain
180
Draw
Draw an example of what a caption looks like
181
Multiple Choice
For what reason does the author include the photograph after paragraph 3 of the selection “Tiptoeing Scientists”?
A To prove that this species is the smallest of all frogs ever discovered
B To highlight the effectiveness of the frog’s natural camouflage
C To emphasize how small the frog is by comparing it to a familiar object
D To demonstrate that the frog has a unique call
182
Multiple Choice
What do you do if you are searching for the word "supported" in the dictionary but you can not find it anywhere!
give up
search for the word "support" because that is the ROOT WORD
Determine it must not be in the dictionary
183
Multiple Choice
What do you do if the first definition of the word does not make sense with the question?
Read the next definition to see if that makes sense
guess the answer
put me head down
184
Multiple Choice
In the selection “A Ghostly New Creature,” which idea about the octopod best explains why the author includes the map?
F Octopods are found in many oceans throughout the world.
G The ghostly octopod is common only to the ocean area around Hawaii.
H Octopods are most commonly found near islands.
J The ghostly octopod was found near the Hawaiian Islands.
185
Draw
Draw what you look like taking a STAAR test
186
ELA 5th Challenge 1 !
Let's refine our Literary Skills in order to smash the State Test!
187
Poll
How confident are you answering 5th grade ELA/Reading questions?
1 - I struggle with ELA/Reading
2 - I Know a little about ELA/Reading
3 - I am somewhat confident with 5th Grade ELA/Reading.
4 - I know I can answer ELA/Reading questions at an accelerated level!
188
Multiple Choice
Choose the best definition of Figurative Language.
language that describes something by comparing it to something else
a description that is literal
a comparison of two things using like or as
using words that mean exactly what they say
189
Multiple Choice
Simile or Metaphor? I am as stuffed as a teddy bear.
Simile
Metaphor
190
Multiple Choice
Simile or Metaphor? A star looks like a diamond in the sky.
Simile
Metaphor
191
Multiple Choice
Simile or Metaphor? Because he studied, Tim thought the test was a piece of cake.
Simile
Metaphor
192
Multiple Choice
Simile or Metaphor? The excited crowd sounded like a pack of wild animals.
Simile
Metaphor
193
Multiple Choice
Define: Mr. Yang always gave sage advice to his children, so they felt confident about following it.
different
effortless
wise
bad
194
Multiple Choice
Define: Jacqueline's actions were always arbitrary, so it was difficult to predict what she would do!
intelligent
without reason
dependable
organized
195
Multiple Choice
Define: Anna will assimilate the information from her history book, just like a sponge in water.
ignore
explain
write down
take in
196
Multiple Choice
Define: There were so many tomes in his house that it was as if he lived in a library.
books
students
computers
desks
197
Multiple Choice
Define: Josie was usually jovial, except when her favorite lunchbox went missing.
hungry
happy
confused
sad
198
Multiple Choice
Word origin: What can you infer about the word "mythology"?
It means "the state of myths"
It means "myth-like"
It means "the study of myths"
It means "to create a myth"
199
Multiple Choice
Word origins: If the word -"phobia" means "fear of," what can you infer about the word "hydrophobia"?
It refers to a fear of hydrants
It refers to a fear of hydraulics
It refers to a fear of water
It refers to a fear of hydrogen
200
Multiple Choice
Grammar: When you add the suffix "-er" to a verb... it becomes a noun. (sing to singer)
True
False
201
Multiple Choice
Literary Device: The cause of an event or situation is _______ something happens.
how
why
when
what
202
Multiple Choice
Literary Device: The effect is what happens due to the cause.
True
False
203
Multiple Choice
Literary Device: What is an exaggeration in literature used to bring a fantastic effect ?
Hyperbole
Analogy
Idiom
Adage
204
Multiple Choice
Literary Device: _________ is when the writer gives a non-living/object or thing(s) human-like characteristics.
Adage
Analogy
Personification
Idiom
205
Multiple Choice
Literary Device: An _______'s figurative meaning is different from the literal meaning.
idiom
adage
simile
irony
Math and ELA Practice
1/6/24 Students will practice Math and ELA skills
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