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### Chapter 7Inequalities

Day…..

- CRA s All Day
- Writing Inequalities
- Solving One-Step Inequalities (+ and - )
- Solving One-Step Inequalities (x and ÷ )
- No School

Bell Work

Justify your Response

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….

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

Interpreting and Writing Inequalities

Essential Understanding:

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

Example:

Group Work

Please take out your maker boards

Wrap it Up

- Review
- Questions
- Exit Tickets

Bell Work

Justify your response.

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 Can….

Write inequalities for a given number line representation.

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

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

Group Work

Please take out your maker boards

Wrap it Up

- Review
- Questions
- Exit Tickets

Bell Work

Justify Your Response

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 Can….

Solve one-step inequalities involving addition and subtraction

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

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….

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

Wrap it Up

- Review
- Questions
- Exit Tickets

pOp Quiz

- Take out a pencil and a calculator
- Clear everything else from your desk

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

- A mathematical sentence indicating two quantities are not equal.

Inequality -

- _________
- ___________
- ___________
- ____________
- _____________
- ___________
- ___________

Absolute Value-

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

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 Can….

Solve one-step inequalities involving multiplication and division.

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

Please take out your maker boards

Wrap it Up

- Review
- Questions
- Exit Tickets

Enjoy your Fall Break

No School

Computer Station

- www.learnzillion.com
(6 minutes per video)

- www.tenmarks.com
(10 questions per assignment)

Station Rotations

- Write your exit ticket.
- Pack up everything but a pencil.
- You will have 15 minutes to complete each rotation

1st Rotation

2nd Rotation

3rd Rotation

4th Rotation

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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