chapter 7 inequalities
DESCRIPTION
Chapter 7 Inequalities. Day…. CRA s All Day Writing Inequalities Solving One-Step Inequalities (+ and - ) Solving One-Step Inequalities (x and ÷ ) No School. Day 1. Bell Work. Justify your Response. Vocabulary. A mathematical sentence indicating two quantities are not equal. . - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/1.jpg)
Chapter 7
Inequalities
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Day…..1. CRA s All Day
2. Writing Inequalities3. Solving One-Step Inequalities (+ and - )
4. Solving One-Step Inequalities (x and
÷ )
5. No School
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Day 1
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Bell Work
Justify your Response
![Page 5: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/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.
Variable - A letter or symbol used to represent an unknown number.
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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](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/7.jpg)
Interpreting and Writing Inequalities
Essential Understanding: An inequality is a mathematical sentence that compares quantities using the symbols >, <, ≥, and ≤.
Example:
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Group Work
Please take out your maker boards
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Wrap it Up
• Review
• Questions
• Exit Tickets
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Day 2
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Bell Work
Justify your response.
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Homework Check
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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](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/14.jpg)
I Can….
Write inequalities for a given number line
representation.
![Page 15: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/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 ≥)• The direction of the ray or shaded area indicates the
solution set _________________ -3 -2 -1 0 1 2 3
x > -1
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Watch This• http://
learnzillion.com/lessons/1507-write-inequalities-given-a-number-line-representation ( 3 mins)
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Group Work
Please take out your maker boards
![Page 18: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/18.jpg)
Wrap it Up
• Review
• Questions
• Exit Tickets
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Day 3
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Bell Work
Justify Your Response
![Page 21: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/21.jpg)
Homework Check
![Page 22: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/22.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 23: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/23.jpg)
I Can….Solve one-step
inequalities involving addition and subtraction
![Page 24: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/24.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 25: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/25.jpg)
Solving InequalitiesEssential Understanding:Inequalities can be solved by finding values for the variable that make the inequality true.
Examples: X +2 < 8 = x < 6
8-2 = 6 or 6 + 2 = 8
X must be a number less than 6 to make this sentence true. Therefore, any number less than 6 (5,4,3,2,1,0,-1,-2, etc… would make the sentence true So…… x < 6 or x ≤ 5
![Page 26: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/26.jpg)
Your Turn….
• Clear your desk of everything but a calculator and a pencil.
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Wrap it Up
• Review
• Questions
• Exit Tickets
![Page 28: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/28.jpg)
Day 4
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pOp Quiz
• Take out a pencil and a calculator
• Clear everything else from your desk
![Page 30: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/30.jpg)
Homework Check
![Page 31: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/31.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 32: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/32.jpg)
I Can….Solve one-step
inequalities involving multiplication and
division.
![Page 33: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/33.jpg)
Solving One-Step Inequalities
Essential Understanding:Inequalities can be solved by finding values for the variable that make the inequality true.
Examples: 2x < 16 = x < 8
16 ÷ 2 = 8 or 8 x 2 = 16
X must be a number less than 8 to make this sentence true. Therefore, any number less than 8 ( 7.2, 8, 9 ½, 44, etc… ) would make the sentence true . So…… x < 8 or x ≤ 7
![Page 34: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/34.jpg)
Practice
Please take out your maker boards
![Page 35: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/35.jpg)
Wrap it Up
• Review
• Questions
• Exit Tickets
![Page 36: Chapter 7 Inequalities](https://reader036.vdocument.in/reader036/viewer/2022062410/5681610f550346895dd069b8/html5/thumbnails/36.jpg)
Day 5
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Enjoy your Fall Break
No School
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Not Used this Week
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Computer Station• www.learnzillion.com (6 minutes per video)• www.tenmarks.com (10 questions per assignment)
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Station Rotations1. Write your exit ticket.
2. Pack up everything but a pencil.
3. You will have 15 minutes to complete each rotation
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1st Rotation
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2nd Rotation
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3rd Rotation
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4th Rotation
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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.