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# Chapter 7 Inequalities - PowerPoint PPT Presentation

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 7Inequalities

• CRA s All Day

• Writing Inequalities

• Solving One-Step Inequalities (+ and - )

• Solving One-Step Inequalities (x and ÷ )

• No School

• 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.

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

Essential Understanding:

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

Example:

• Review

• Questions

• Exit Tickets

• 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 -

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

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

• Review

• Questions

• Exit Tickets

• 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 -

Solve one-step inequalities involving addition and subtraction

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

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

• Review

• Questions

• Exit Tickets

pOp Quiz

• Take out a pencil and a calculator

• Clear everything else from your desk

• 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 -

Solve one-step inequalities involving multiplication and division.

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

• Review

• Questions

• Exit Tickets

No School 

• www.learnzillion.com

(6 minutes per video)

• www.tenmarks.com

(10 questions per assignment)

• Pack up everything but a pencil.

• You will have 15 minutes to complete each rotation

1st Rotation

2nd Rotation

3rd Rotation

4th Rotation

Before we begin…….

• Complete an exit ticket.

• Pack up everything except for your pencil and calculator.

• Sit quietly unit everyone is ready.