Alg1 Lesson 1.20 Inequalities

Lesson 1.20: Linear Inequalities

Obj: 2H, 3D, (5B): I can formulate and solve linear
inequalities.

EQ: How do I formulate inequalities given a verbal
description?

Roles:
Facilitator
Scribe
Resourcer
Includer

Lesson Goals:
● Creative Thinking
● Talk through controversies and conflict
● Recognize and reduce ambiguity
● Encourage thinking based on formulas, vocab,

and prior knowledge

● Help explain ideas to each other
● Own your ideas and work
● Record ideas in your journal
● Answer Questions on Slides
● Follow your team roles

Facilitator

• Make sure that all peers are staying on task.

• Give advice or suggestions to resolve the problem.

• Be sure everyone is able to explain.

Scribe

• Make sure peers organize their results on their own papers.

• Remind peers to use color, arrows, and other math tools to
communicate your mathematics, reasons, and connections.

• Be ready to join the teacher for a huddle.

Resourcer

• Make sure peers are getting the materials needed.

• Make sure that all materials are put away neatly.

• Make sure that peers are logged in to the needed site.

• Help troubleshoot any technology difficulties that may arise.

Includer

• Make sure that all peers are talking about their work.

• Helps keep peers’ voice volume low.

• Encourages everyone to ask questions.

• Communicates conflicts or questions to the teacher.

Word Cloud

How do you plan to contribute to your group today?

● Mark off stuff on calendar paper.

● Turn in WS & Calendar.

● Finish Deltamath.

Don't forget to also do the following:

Part 1: Graphing

Inequalities & Test Points

x ≤ 3

x < -5

x ≥ 0

x ≤ 5

x < -6 or x ≥ 3

-2 ≤ x ≤ 3

Examples in slope intercept form

Examples in standard form

Word Cloud

Give a Solution to 3x + 4y > 20

Write the solution as an ordered pair. Evaluate other people's answers.

Graphing

Graph $$3x+2y=6$$

Multiple Choice

Which of the following is the graph of this linear inequality?

3x + 2y ≥ 6

Draw

Draw a picture of a tiger.

Part 2: Formulate Inequalities

from Word Problems

Categorize

Options (12)

less than

greater than

at least

at most

under

below

above

exceeding

minimum of

greater than or equal to

maximum of

less than or equal to

Sort each phrase with its symbol. (3 for each)

<

>

≥

≤

Apples = a and Pears = p

a ≥ p + 5 or p + 5 ≤ a

a ≥ 2p or 2p ≤ a

a ≤ ½p or ½p ≥ a

a ≤ p + 5 or p + 5 ≥ a

Practice

Write an inequality for each statement where a = apples and p = pears.

There are at most 3 more apples than pears.

There are at most thrice as many apples than pears.

There are at least half as many pears as apples.

There are at least 3 more pears than apples.

Dropdown

There are at most 3 more apples than pears.​ ​

Select answer

​ There are at most thrice as many apples than pears. ​​

Select answer

​ ​

There are at least half as many pears as apples. ​

Select answer

There are at least 3 more pears than apples.​

Select answer

Random Question of the Day Time

https://wheelofnames.com/4ke-epz We’ll spin the
wheel as a class and spend a minute or so
discussing our answers.

Part 3: Solving Inequalities

Compound Inequalities

and

or

|x + 1| > 5 means x + 1 < -5 or x + 1 > 5

Solve each of the following

1. x - 9 ≥ 8

2. -6x < 24

3. -5 < x + 1 < 5

4. x + 1 < -5 or x + 1 > 5

5. -10 ≤ 2x ≤ 10

Multiple Choice

Solve. x - 9 ≥ 8

• x ≤

• x ≤ 17

• x ≥ -1

• x ≥ 17

Multiple Choice

Solve. -6x < 24

• x < -4
• x = -4
• x < 4
• x > -4

Multiple Choice

Solve. -5 < x + 1 < 5

• -4 < x < 4

• -6 < x < 4

• -6 < x < 6

• -4 < x < 6

Multiple Choice

Solve. x + 1 < -5 or x + 1 > 5

• x < -6 or x > 4
• x < -4 or x > 5
• x < -7 or x > 3
• x < -5 or x > 6

Multiple Choice

Solve. -10 ≤ 2x ≤ 10

• -5 ≤ x ≤ 5

• -5 ≤ x ≤ 10

• -10 ≤ x ≤ 0

• -12 ≤ x ≤ 8

Exit Ticket 1.20
Write verbal statements for each given inequality
on a sheet of paper and turn it in.

1. 5c > w

2. ½w ≤ c

3. 3c + 7w ≥ 42

4. w < 4c - 1

Open Ended

Take a picture of your notes and submit it here. Give feedback on how unit 1 was here.

Poll

Unit 2 is all about systems of equations. Do you feel ready for it?

• T