chapter 7 inequalities

Chapter 7

Inequalities

Day…..1. CRA s All Day

2. Writing Inequalities3. Solving One-Step Inequalities (+ and - )

4. Solving One-Step Inequalities (x and

÷ )

5. No School

Day 1

Bell Work

Justify your Response

Vocabulary•

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•

•

•

•

•

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.

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

Day 2

Bell Work

Justify your response.

Homework Check

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.

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

Day 3

Bell Work

Justify Your Response

Homework Check

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.

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 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

Your Turn….

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

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 4

pOp Quiz

• Take out a pencil and a calculator

• Clear everything else from your desk

Homework Check

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.

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

Day 5

Enjoy your Fall Break

No School

Not Used this Week

Computer Station• www.learnzillion.com (6 minutes per video)• www.tenmarks.com (10 questions per assignment)

Station Rotations1. Write your exit ticket.

2. Pack up everything but a pencil.

3. You will have 15 minutes to complete each rotation

1st Rotation

2nd Rotation

3rd Rotation

4th Rotation

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.