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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. .

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Chapter 7 inequalities

Chapter 7Inequalities


Day…..

  • CRA s All Day

  • Writing Inequalities

  • Solving One-Step Inequalities (+ and - )

  • Solving One-Step Inequalities (x and ÷ )

  • No School



Bell work
Bell Work

Justify your Response


Vocabulary
Vocabulary

  • A mathematical sentence indicating two quantities are not equal.

Inequality -

  • The distance between a number and 0 on a number line.

Absolute Value-

Any number greater than 0. They can be written with or without the + sign and appear to the right or above the 0.

Positive Integer-

Negative Integer -

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.

Rational Number -

Aline on which numbers are marked at intervals, used to illustrate simple numerical operations.

Number Line -

  • Variable -

A letter or symbol used to represent an unknown number.


I can
I Can….

Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.


Interpreting and writing inequalities
Interpreting and Writing Inequalities

Essential Understanding:

An inequality is a mathematical sentence that compares quantities using the symbols >, <, ≥, and ≤.

Example:


Group work
Group Work

Please take out your maker boards


Wrap it up
Wrap it Up

  • Review

  • Questions

  • Exit Tickets



Bell work1
Bell Work

Justify your response.



Vocabulary1
Vocabulary

  • A mathematical sentence indicating two quantities are not equal.

Inequality -

  • _________

  • ___________

  • ___________

  • ____________

  • _____________

  • ___________

  • ___________

Absolute Value-

  • The distance between a number and 0 on a 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.

Positive Integer-

Negative Integer-

  • 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

Rational Number -

a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Number Line -


I can1
I Can….

Write inequalities for a given number line representation.


Writing and graphing inequalities
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


Watch this
Watch This

  • http://learnzillion.com/lessons/1507-write-inequalities-given-a-number-line-representation ( 3 mins)


Group work1
Group Work

Please take out your maker boards


Wrap it up1
Wrap it Up

  • Review

  • Questions

  • Exit Tickets



Bell work2
Bell Work

Justify Your Response



Vocabulary2
Vocabulary

  • A mathematical sentence indicating two quantities are not equal.

Inequality -

  • _________

  • ___________

  • ___________

  • ____________

  • _____________

  • ___________

  • ___________

Absolute Value-

  • The distance between a number and 0 on a 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.

Positive Integer-

Negative Integer-

  • 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

Rational Number -

a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Number Line -


I can2
I Can….

Solve one-step inequalities involving addition and subtraction


Solving one step inequalities
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


Solving inequalities
Solving Inequalities

Essential 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


Your turn
Your Turn….

  • Clear your desk of everything but a calculator and a pencil.


Wrap it up2
Wrap it Up

  • Review

  • Questions

  • Exit Tickets



P o p quiz
pOp Quiz

  • Take out a pencil and a calculator

  • Clear everything else from your desk



Vocabulary3
Vocabulary

  • A mathematical sentence indicating two quantities are not equal.

Inequality -

  • _________

  • ___________

  • ___________

  • ____________

  • _____________

  • ___________

  • ___________

Absolute Value-

  • The distance between a number and 0 on a 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.

Positive Integer-

Negative Integer-

  • 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

Rational Number -

a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Number Line -


I can3
I Can….

Solve one-step inequalities involving multiplication and division.


Solving one step inequalities1
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


Practice
Practice

Please take out your maker boards


Wrap it up3
Wrap it Up

  • Review

  • Questions

  • Exit Tickets



Enjoy your fall break
Enjoy your Fall Break

No School 



Computer station
Computer Station

  • www.learnzillion.com

    (6 minutes per video)

  • www.tenmarks.com

    (10 questions per assignment)


Station rotations
Station Rotations

  • Write your exit ticket.

  • Pack up everything but a pencil.

  • You will have 15 minutes to complete each rotation


1 st rotation
1st Rotation


2 nd rotation
2nd Rotation


3 rd rotation
3rd Rotation


4 th rotation
4th Rotation


Group work2
Group Work

Before we begin…….

  • Complete an exit ticket.

  • Pack up everything except for your pencil and calculator.

  • Sit quietly unit everyone is ready.


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