Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing...
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Transcript of Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing...
![Page 1: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/1.jpg)
Chapter 7
Inequalities
![Page 2: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/2.jpg)
Day…..1. Interpreting and Writing
Inequalities
2. Writing and Graphing Inequalities
3. Solving Inequalities
4. Solving One-Step Inequalities
5. Review and Quiz
![Page 3: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/3.jpg)
Day 1
![Page 4: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/4.jpg)
Bell Work
Justify your Response
![Page 5: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/5.jpg)
Vocabulary•
•
•
•
•
•
A mathematical sentence indicating two quantities are not equal.
The distance between a number and 0 on a number line.
Negative Integer -
Inequality -
Rational Number -
Absolute Value-
Positive Integer-
Number Line -
Any number greater than 0. They can be written with or without the + sign and appear to the right or above the 0.
Any number less than 0. They are written with a – sign and appear to the left or below 0
Any number that can be written as a fraction.
A line on which numbers are marked at intervals, used to illustrate simple numerical operations.
![Page 6: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/6.jpg)
I Can….
Interpret statements of inequality as statements
about the relative position of two numbers
on a number line diagram.
![Page 7: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/7.jpg)
Interpreting and Writing Inequalities
Essential Understanding: An inequality is a mathematical sentence that compares quantities using the symbols >, <, ≥, and ≤.
Example:
![Page 8: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/8.jpg)
Ten Marks Practice
Please take out your maker boards
![Page 9: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/9.jpg)
Wrap it Up
• Review
• Questions
• Exit Tickets
![Page 10: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/10.jpg)
Day 2
![Page 11: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/11.jpg)
Bell Work
Justify your response.
![Page 12: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/12.jpg)
Homework Check
![Page 13: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/13.jpg)
Vocabulary• _________
• ___________
• ___________
• ____________
• _____________
• ___________
A mathematical sentence indicating two quantities are not equal.
The distance between a number and 0 on a number line.
Negative Integer-
Inequality -
Rational Number -
Absolute Value-
Positive Integer-
Number Line -
Any number greater than 0. They can be written with or without the + sign and appear to the right or above the 0.
Any number less than 0. They are written with a – sign and appear to the left or below 0.
a number that can be written as a fraction
a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
![Page 14: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/14.jpg)
I Can….
Graph Inequalities
![Page 15: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/15.jpg)
Writing and Graphing Inequalities
Essential Understanding: • Inequalities can be graphed on a number line
using an open or a closed dot and a ray ( )• An open dot means the number is not included
(used with < and > symbols) • A closed dot means the number is included (used with ≤ and ≥)Examples:
![Page 16: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/16.jpg)
Group WorkBefore we begin…….1. Complete an exit ticket.2. Pack up everything except for your
pencil and calculator.3. Sit quietly unit everyone is ready.
![Page 17: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/17.jpg)
Wrap it Up
• Review
• Questions
• Exit Tickets
![Page 18: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/18.jpg)
Day 3
![Page 19: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/19.jpg)
Bell Work
Justify Your Response
![Page 20: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/20.jpg)
Homework Check
![Page 21: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/21.jpg)
Vocabulary• _________
• ___________
• ___________
• ____________
• _____________
• ___________
A mathematical sentence indicating two quantities are not equal.
The distance between a number and 0 on a number line.
Negative Integer-
Inequality -
Rational Number -
Absolute Value-
Positive Integer-
Number Line -
Any number greater than 0. They can be written with or without the + sign and appear to the right or above the 0.
Any number less than 0. They are written with a – sign and appear to the left or below 0.
a number that can be written as a fraction
a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
![Page 22: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/22.jpg)
I Can….
Determine the value of a variable to make an
inequality true.
![Page 23: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/23.jpg)
Solving InequalitiesEssential Understanding:Inequalities can be solved by finding values for the variable that make the inequality true.
Examples: X +2 < 8
8-2 = 6 or 2 + 6 = 8
X must be a number less than 6 to make this sentence true. Therefore, any number less than 5 would make the sentence true x < 6 or x ≤ 5
![Page 24: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/24.jpg)
Your Turn….
• Clear your desk of everything but a calculator.
![Page 25: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/25.jpg)
Wrap it Up
• Review
• Questions
• Exit Tickets
![Page 26: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/26.jpg)
Day 4
![Page 27: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/27.jpg)
Bell Work
Justify your Response
![Page 28: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/28.jpg)
Homework Check
![Page 29: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/29.jpg)
Vocabulary• _________
• ___________
• ___________
• ____________
• _____________
• ___________
A mathematical sentence indicating two quantities are not equal.
The distance between a number and 0 on a number line.
Negative Integer-
Inequality -
Rational Number -
Absolute Value-
Positive Integer-
Number Line -
Any number greater than 0. They can be written with or without the + sign and appear to the right or above the 0.
Any number less than 0. They are written with a – sign and appear to the left or below 0.
a number that can be written as a fraction
a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
![Page 30: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/30.jpg)
I Can….
Solve one-step inequalities.
![Page 31: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/31.jpg)
Solving One-Step Inequalities
Essential Understanding:
Addition and subtraction and multiplication and division properties can be used to solve inequalities.• If the same number is added or subtracted from each side of an
inequality, the inequality remains true.• If the same positive number is multiplied or divided from each
side of an inequality, the inequality remains true.
Examples:3 < 6 3 < 6 x > 6 x > 6
![Page 32: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/32.jpg)
Practice
Please take out your maker boards
![Page 33: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/33.jpg)
Wrap it Up
• Review
• Questions
• Exit Tickets
![Page 34: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/34.jpg)
Day 5
![Page 35: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/35.jpg)
Bell Work
Justify your Response
![Page 36: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/36.jpg)
Homework Check
![Page 37: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/37.jpg)
Vocabulary• _________
• ___________
• ___________
• ____________
• _____________
• ___________
A mathematical sentence indicating two quantities are not equal.
The distance between a number and 0 on a number line.
Negative Integer-
Inequality -
Rational Number -
Absolute Value-
Positive Integer-
Number Line -
Any number greater than 0. They can be written with or without the + sign and appear to the right or above the 0.
Any number less than 0. They are written with a – sign and appear to the left or below 0.
a number that can be written as a fraction
a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
![Page 38: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/38.jpg)
I Can….
Write, interpret, and explain statements of
order for rational numbers in real-world contexts
![Page 39: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/39.jpg)
A Week in Review
• Clear your desk of everything but a calculator.
![Page 40: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/40.jpg)
pOp Quiz
• Take out a pencil and a calculator
• Clear everything else from your desk
![Page 41: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/41.jpg)
Wrap it Up
• Classroom Store
• Exit Tickets
![Page 42: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/42.jpg)
Not Used this Week
![Page 44: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/44.jpg)
Station Rotations
1. Write your exit ticket.
2. Pack up everything but a pencil.
3. You will have 15 minutes to complete each rotation
![Page 45: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/45.jpg)
1st Rotation
![Page 46: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/46.jpg)
2nd Rotation
![Page 47: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/47.jpg)
3rd Rotation
![Page 48: Chapter 7 Inequalities. Day….. 1.Interpreting and Writing InequalitiesInterpreting and Writing Inequalities 2.Writing and Graphing InequalitiesWriting.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649dce5503460f94ac1fda/html5/thumbnails/48.jpg)
4th Rotation