Uploaded by Courtney Tout

Intro to Inequalities

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Topic/Objective: U2L5:Reviewing Inequalities
Name:
TSW use what we know about math key words to predict the
meaning of inequality symbols.
TEKS
7.10A
7.10B
TSW investigate one-step inequalities and what the symbols mean
in a quizizz lesson.
ELPS
c1A
Essential Question: H o w c a n w e u s e m o d e l s t o s o l v e o n e v a r i a b l e t w o - s te p e q u a t i o n s a n d i n e q u a l i t i e s ?
Vocabulary
Inequalities
Symbols
Practice:
An inequality is a mathematical sentence that compares
quantities using <, >, <, or >. Observe the table below:
Name
Key Word
<
Less than
Less than
Fewer than
>
Greater Than
Greater than
More than
<
Less Than or
Equal to
No more than
Maximum
At most
>
Greater Than
or Equal to
No less than
Minimum
At least
GRAPHING
Katie has at most $25 in her pocket.
Inequality: ________________
Graph:
Derrick is thinking of a number that is more than 7.
Inequality: _________________
SOLVE:
Graph:
Morgan runs 3 miles on Monday, and runs more on Tuesday. She
ran at least 4 miles in total.
Inequality:__________________
Graph:
Solve the one-step equations:
Solve the one-step equations:
13–x=4
Warm-Up
Warm-Up
13–x=4
Name: ________________ Date: _________
Period: 1
2 5
6
7
Name: ________________ Date: _________
Period: 1
2 5
6
7
Topic/Objective: U2L6:Solving One-Step Inequalities
Name:
We will express opinions, ideas, and feelings about our abilities to
solve one-step inequalities using academic vocabulary.
TEKS
7.10A
7.10B
TSW solve One-Variable One-Step Inequalities with partners on a
cut n’ paste activity.
Essential Question: H o w c a n w e u s e m o d e l s t o s o l v e o n e v a r i a b l e t w o - s te p e q u a t i o n s a n d i n e q u a l i t i e s ?
Model Key:
Model
<
Remember when we
divided by a negative
we have to flip the
inequality symbol
around.
Inverse
+
X
÷
+
÷
X
Step 2: Graph on the
number line
A+4<9
Graph:
Model
Step 1: Use the
opposite or inverse
operation to solve for
the vairbale.
Operation
Inequality
>
Inequality
X – 5 > 13
Graph:
Model
Inequality
25 m = 100
*To much to draw out
Graph:
ELPS
c1A
Name: ______________
Date: __/__/____
Period 1
5
Cut N’ Paste
Directions: Solve the inequalities. Cut n’ paste the solution and graph to each.
4x < -12
Paste Solution
Paste Graph
5x > 25
Paste Solution
Paste Graph
Paste Solution
Paste Graph
X + 19 > 36
Paste Solution
Paste Graph
18 + x > 22
Paste Solution
Paste Graph
X – 50 < 45
Paste Solution
Paste Graph
Paste Solution
Paste Graph
7
Name: ______________
Date: __/__/____
Period 1
5
Cut N’ Paste
Directions: Cut each card out to paste to the worksheet attached.
X > 100
100
X>4
Paste Graph
X>5
Paste Graph
X < -3
Paste Graph
4
95
45
X > 17
Paste Graph
17
X < 45
Paste Graph
5
X < 95
Paste Graph
-3
7
Inequality:________________________
Solve the inequality
X < ______________
Inequality:________________________
Solve the inequality
X < ______________
<
Exit Ticket
Exit Ticket
<
Name: ________________ Date: _________
Period: 1
2 5
6
7
Name: ________________ Date: _________
Period: 1
2 5
6
7
B. 3
C. 1
D. 4
C. 1
D. 4
3+x>5
3+x>5
B. 3
What value(s) of x meets this
inequality?:
What value(s) of x meets this
inequality?:
A. 2
Warm-Up
Warm-Up
A. 2
Name: ________________ Date: _________
Period: 1
2 5
6
7
Name: ________________ Date: _________
Period: 1
2 5
6
7
Topic/Objective: U2L7:Model/Write/Solve 2-Step Inequality
Name:
TSW use what we know about math key words to predict the
meaning of inequality symbols.
TEKS
7.10A
7.10B
TSW investigate models involving two-step inequalities and
determining the value of variable that meets the inequality
ELPS
c1A
Essential Question: H o w c a n w e u s e m o d e l s t o s o l v e o n e v a r i a b l e t w o - s te p e q u a t i o n s a n d i n e q u a l i t i e s ?
Model
Models
Inequality: __________________
Solution:___________________
What if the
constant is
negative?
Inequality: ___________________
Solution: __________________
What if the
coefficient is
negative?
Inequality: ________________
Solution:_________________
Topic/Objective: U2L7:Model/Write/Solve 2-Step Inequality
Name:
TSW use what we know about math key words to predict the
meaning of inequality symbols.
TEKS
7.10A
7.10B
TSW investigate models involving two-step inequalities and
determining the value of variable that meets the inequality
ELPS
c1A
Essential Question: H o w c a n w e u s e m o d e l s t o s o l v e o n e v a r i a b l e t w o - s te p e q u a t i o n s a n d i n e q u a l i t i e s ?
Model
Model #1
Inequality: __________________
Solution:___________________
What if the
constant is
negative?
Inequality: ___________________
Solution: __________________
What if the
coefficient is
negative?
Inequality: ________________
Solution:_________________
Name: _____________
Period: 1
5
7
Modeling Two-Step Inequalities
Directions: Look at the picture provided for each question. Write an
Inequality to match the picture. Solve for the unknown.
Inequality:
1
X>
Model:
Inequality:
4x – 8 < 16
<
2
X<
Inequality:
3
X>
Model:
4
Inequality:
2x + 4 > 8
>
X>
Name: _____________
Period: 1
5
7
Modeling Two-Step Inequalities
Directions: Look at the picture provided for each question. Write an
Inequality to match the picture. Solve for the unknown.
Model:
Inequality:
4x – 3 > 9
5
X>
Model:
Inequality:
3x + 7 > 31
6
X>
Model:
Inequality:
5x – 2 < 13
7
X<
Model:
Inequality:
-5x + 3 < 23
8
X>
Exit Ticket
Name: ________________ Date: _________
Period: 1
2 5
6
7
Exit Ticket
Name: ________________ Date: _________
Period: 1
2 5
6
7
Inequality:________________________
Solve the inequality
X < ______________
Inequality:________________________
Solve the inequality
X < ______________
<
<
Name: ________________
Period
Unit 3: Performance Task 1
2
A weather service records the temperature in degrees Fahrenheit each day and
publishes the report in the newspaper at the end of the week. The graphic below
shows a report from January.
1. David read the paper while eating breakfast and some of the information was
smudged. Use the information below to find all of the missing high and low
temperatures during the week.
• On Tuesday, the low temperature was 3 degrees colder than on Monday.
• On Thursday, the high temperature was 5 degrees warmer than the low
temperature.
• On Friday, the low temperature was 11 degrees higher than the low
temperature on Saturday.
2. Graph each of the high and low temperatures on the number line:
3. What is the difference between the highest and the lowest temp?
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