chapter 7 inequalities

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Chapter 7 Inequalities

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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. . - PowerPoint PPT Presentation

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Page 1: Chapter 7 Inequalities

Chapter 7

Inequalities

Page 2: 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

Page 3: Chapter 7 Inequalities

Day 1

Page 4: Chapter 7 Inequalities

Bell Work

Justify your Response

Page 5: Chapter 7 Inequalities

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.

Page 6: Chapter 7 Inequalities

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

Interpreting and Writing Inequalities

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

Example:

Page 8: Chapter 7 Inequalities

Group Work

Please take out your maker boards

Page 9: Chapter 7 Inequalities

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 10: Chapter 7 Inequalities

Day 2

Page 11: Chapter 7 Inequalities

Bell Work

Justify your response.

Page 12: Chapter 7 Inequalities

Homework Check

Page 13: Chapter 7 Inequalities

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

I Can….

Write inequalities for a given number line

representation.

Page 15: Chapter 7 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

Page 17: Chapter 7 Inequalities

Group Work

Please take out your maker boards

Page 18: Chapter 7 Inequalities

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 19: Chapter 7 Inequalities

Day 3

Page 20: Chapter 7 Inequalities

Bell Work

Justify Your Response

Page 21: Chapter 7 Inequalities

Homework Check

Page 22: Chapter 7 Inequalities

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

I Can….Solve one-step

inequalities involving addition and subtraction

Page 24: Chapter 7 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

Page 25: Chapter 7 Inequalities

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

Your Turn….

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

Page 27: Chapter 7 Inequalities

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 28: Chapter 7 Inequalities

Day 4

Page 29: Chapter 7 Inequalities

pOp Quiz

• Take out a pencil and a calculator

• Clear everything else from your desk

Page 30: Chapter 7 Inequalities

Homework Check

Page 31: Chapter 7 Inequalities

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

I Can….Solve one-step

inequalities involving multiplication and

division.

Page 33: Chapter 7 Inequalities

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

Practice

Please take out your maker boards

Page 35: Chapter 7 Inequalities

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 36: Chapter 7 Inequalities

Day 5

Page 37: Chapter 7 Inequalities

Enjoy your Fall Break

No School

Page 38: Chapter 7 Inequalities

Not Used this Week

Page 39: Chapter 7 Inequalities

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

Page 40: Chapter 7 Inequalities

Station Rotations1. Write your exit ticket.

2. Pack up everything but a pencil.

3. You will have 15 minutes to complete each rotation

Page 41: Chapter 7 Inequalities

1st Rotation

Page 42: Chapter 7 Inequalities

2nd Rotation

Page 43: Chapter 7 Inequalities

3rd Rotation

Page 44: Chapter 7 Inequalities

4th Rotation

Page 45: Chapter 7 Inequalities

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.