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Algebra
1 CCSSA.REI.3
Alge
bra
1 St aPrep
ndafor
rds:
Students will learn how to write, solve, and graph inequalities
on a number line.
Essential Question: What is a solution to an inequality and how is it graphed
on a number line?
Esse nt ia l Que st ion: _________________________________________________
Se c t ion:
HW
___________________________________________________________
___________________________________________________________
Que st ions, V oc a bula ry,
Any number that makes the inequality true
is a _______________________________________________.
Side not e s:
All of the numbers in the solution is called a _________________________.
Inequality signs:
When graphing on a number line
Examples: Is the given number a solution to the inequality?
DOK 1
Se c t ions:
Que st ions, V oc a bula ry,
Side N ot e s:
Examples: Is the given number a solution to the inequality?
DOK 1
To graph an inequality, determine if you must use an open or closed circle, place the open
or closed circle on the appropriate number, and shade the number line in the direction
where all the solutions are.
DOK 1
Examples. Graph the inequality
Se c t ion:
Que st ions, V oc a bula ry,
Write the inequality represented by the graph.
Side N ot e s:
DOK 1
Write the inequality in words
DOK 1
Se c t ion:
Que st ions, V oc a bula ry,
Side N ot e s:
DOK 2
Suppose your school puts on a theatrical play. Adult tickets
are $8 and student tickets are $4. Let x represent the
number of adult tickets and y represent the number of of
student tickets. Write an inequality that represents ticket
sales of at least $4000.
Alge
bra
1 St A.CED.1,
a nda rds:
Algebra
1 CCSSA.REI.3
Students will learn how to solve inequalities using addition and
subtraction.
Essential Question: How do I solve Inequalities using addition and subtraction?
Se c t ion:
Esse nt ia l Que st ion: _________________________________________________
HW
___________________________________________________________
Inequalities with the same solutions are called _______________________________.
___________________________________________________________
Que st ions, V oc a bula ry,
Example:
Side not e s:
We solve inequalities the ________________________ we solve equations. However,
we must now represent all solutions on a number line.
You must still isolate the _______________________ using the properties of equality.
Examples: Solve and graph the inequality on a number line.
DOK 1
Se c t ions:
Que st ions, V oc a bula ry,
Side N ot e s:
DOK 1
Se c t ion:
Que st ions, V oc a bula ry,
Define the variable, write an inequality and solve.
Side N ot e s:
DOK 2
DOK 2
You want to save $3000 for a vacation. Your plane ticket and hotel will cost
$1250. Write and solve an inequality to find how much you can spend on
everything else.
Your school club fundraiser is selling candy bars to raise money. Each
member is encouraged to sell at least 60 candy bars. You sell 14 on
Tuesday and 24 on Wednesday. How candy bars do you need to sell to
meet your goal?
Algebra
1 CCSSA.REI.3, N.Q.2
Alge bra
1 StA.CED.1,
a nda rds:
Students will learn how to solve inequalities using
multiplication and division.
Se c t ion:
HW
Essential Question: How do I solve Inequalities using multiplication
and division?
Esse
nt ia l Que st ion: _________________________________________________
___________________________________________________________
___________________________________________________________
Remember! To solve inequalities you must _______________________________.
Same as solving equations!
Que st ions, V oc a bula ry,
Side not e s:
Be careful!! When you multiply or divide both sides of an inequality BY a
_______________________ you must flip the inequality sign!!!!
Here is why: In math, we only want true statements.
Watch what happens!
Se c t ions:
Que st ions, V oc a bula ry,
Side N ot e s:
DOK 1
Examples. Solve and graph
Se c t ion:
Que st ions, V oc a bula ry,
Side N ot e s:
DOK 1
Se c t ion:
Que st ions, V oc a bula ry,
Side N ot e s:
DOK 2
DOK 2
The book club charges $3.50 per car at their car wash. Write
and solve an inequality to find how many cars they must wash
to make at least $168.
Suppose you make $8.50 per hour at you part time job.
Write and solve and inequality to find how many full hours
you must work to make at least $136.
Algebra
1 CCSSA.CED.1
Alge
bra
1 StA.REI.3,
a nda rds:
Students will learn how to solve multi-step inequalities using
the properties of equality.
Essential Question: How do I solve multi-step inequalities?
Se c t ion:
Esse nt ia l Que st ion: _________________________________________________
HW
___________________________________________________________
___________________________________________________________
Que st ions, V oc a bula ry,
Side not e s:
Remember!! You solve inequalities the __________________ you solve
equations! ________________ the variable!
Notice.... Now you have variables on_____________sides of the
inequality.
To solve inequalities:
1) simplify both sides of the inequality , if possible (distribute, combine like
terms, etc)
2) Isolate the variable by using inverse operations
DOK 1
Examples. Solve each inequality.
Se c t ions:
Que st ions, V oc a bula ry,
Side N ot e s:
DOK 1
Se c t ion:
Que st ions, V oc a bula ry,
Define the variable, write and inequality, and solve.
Side N ot e s:
DOK 2
On a trip to the Grand Canyon, you and you friends want to
travel at least 720 miles in 12 hours. What must their average
speed be? (use distance= rate time)
Alge
bra
1 St A.REI.3,
a nda rds:
Algebra
1 CCSSA.CED.1
Students will learn what a compound inequality is, how to
solve them, and how to graph them.
Se c t ion:
HW
Essential Question: What is a compound inequality? How do I solve
and nt
graph
them?
Esse
ia l Que
st ion: _________________________________________________
___________________________________________________________
___________________________________________________________
Two inequalities that are joined by the word______ or the word_______
Que st ions, V oc a bula ry,
form a_______________ inequality.
Side not e s:
Now graph x > 2 and x < 7 on the same number line.
Do these two graphs intersect/overlap? __________
Because these two graphs intersect/overlap, we can join each inequality
by the conjunction AND. Just like "and" joins two compound sentences in
language arts.
You can write the inequality x > 2 AND x < 7 as
Note: An inequality with an AND
statement is true if both
inequalities are true. This means
the solution must be a solution to
both inequalities.
__________________. You can read this inequality as
" x is greater than 2 and x is less than 7". Another way to read it is "
____________________________________"
Se c t ions:
Que st ions, V oc a bula ry,
Side N ot e s:
DOK 1
Examples. Solve each inequality and graph on a
number line.
Se c t ion:
Que st ions, V oc a bula ry,
Write a compound inequality that represents each situation. Then graph.
Side N ot e s:
1) All real numbers that are between -4 and 6
DOK 1
2) All real numbers that are at least 4 and at most 9
DOK 1
Note: An inequality with an OR
statement is true if one or both
inequalities are true. This means the
solution must satisfy one or both
inequalities.
Solve the compound inequality. Then graph on a number line.
Se c t ion:
Que st ions, V oc a bula ry,
Side N ot e s:
DOK 1
Write the inequality the graph could represent.
DOK 1
Se c t ion:
Que st ions, V oc a bula ry,
Side N ot e s:
DOK 2
When you exercise, your pulse rate rises. Recommended pulse rates vary
with age and physical condition. For vigorous exercise, such as running, the
inequality 0.7(220 - a) < R < 0.85(220 - a) gives a target range for pulse rate
R (in beats per minute), based on age a.
a) What is the target range for pulse rate for a person 20 years old?
b) Your cousin's target pulse rate is in the range of 133 and 161.5 per
minute. How old is your cousin?