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Chapter 7 Integers Part 1

Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

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Page 1: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Chapter 7Integers

Part 1

Page 2: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

1. Percent of a Number

2. + and - Integers

3. Locating and Graphing Integers

4. Absolute Value

5. No School

Day…..

Page 3: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Day 1

Page 4: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Bell Work

You have ten minutes to complete the

provided quick quiz.

Page 5: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

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

Any whole 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.

Integer - Is a whole number that can be greater than or less than zero.

Page 6: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

I Can….

I can find the percent of a number.

Page 7: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Finding the Percent of a Number

Essential Understanding:To find the percent of a number, write the percent

as a decimal, then multiply the decimal and given number.Remember “of” is sometimes a clue word for multiplication.

Examples: 1. What is 40% of 60?

2. Find 25% of 120.

3. Determine 33% of $690.

Page 8: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

I Can….

solve problems involving finding the whole, when given a part and the percent

Page 9: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Finding the whole given the part and percent.

Essential Understanding:To find the whole, when given the part and percent, you simply change the percent to a decimal and divide the "part" by the percent.

Examples:10 is 20% of what number?300 is 75% of what number?60 is 80% of what number?

Page 10: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 11: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Day 2

Page 12: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Bell Work

You have ten minutes to complete the

provided quick quiz.

Page 13: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

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

Any whole 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.

Integer - Is a whole number that can be greater than or less than zero.

Page 14: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

I Can….

Identify integers representing real world

situations.

Page 15: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

+ and - IntegersEssential Understanding:• Positive Integers-

a) Are whole numbers greater than zero.

b) Are identified by a + sign or no sign at all.

c) Represent changes that result in an increase or gain.

Example:

• Negative Integers –

a) Are whole numbers less than zero.

b) Are identified by a – sign.

c) Represent changes that results in a decrease or loss.

Example:

• Zero is neither positive nor negative

Page 16: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Real World Representations

1. An increase of 7 degrees.2. A submarine 200 ft. below sea level.3. Making $300 at work.4. Spending $100 on shoes.5. Borrowing $1.25 from a friend.6. A plane 17,000 ft. in the air.7. Scoring 8 pts in basketball.8. A 2 yd. penalty.9. A drop of 6 points in the stock market.10. Winning $20 from the blood drive.11. Selling $500 during the fundraising event.12. Paying $5.00 to get into the football game.13. A $30.00 dinner bill.14. Finding $10 on the ground.15. Missing 2 questions on this quiz.

Page 17: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 18: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Day 3

Page 19: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Bell Work

Write an integer to represent each situation.

1. Scoring 3 goals in a soccer game.

2. A credit card charge of $25.

3. A 10 degree drop in temperature.

4. Earning 5 points extra credit.

5. A zip line 30 ft. above ground.

Page 20: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

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

Any whole 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.

Integer - Is a whole number that can be greater than or less than zero.

Page 21: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

I Can….

Locate and graph positive and negative

integers.

Page 22: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Locating Integers on a Number Line

Essential Understanding:• On a horizontal number line, integers are ordered from least to greatest. • So, the negative integers are to the left of zero and the positive integers

are to the right of zero. • Therefore, the farther left an integer is, on a number line, the smaller it is. • Think “left is less”

Example:

• On a vertical number line, integers are ordered from greatest to least. • So, the positive integers are above the zero and the negative integers are

below the zero. • Therefore, the lower an integers is, on a number line, the smaller it is. • Think of thermometers and temperatures “below zero”

Example:

Page 23: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

I Can….

Determine absolute value and identify

opposites.

Page 24: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Absolute ValueEssential Understanding:• The absolute value of a number is its distance from zero.Model:

• The absolute value of a number is written like this

Examples:

• The absolute value of are the same because they are both 6 places from zero.

Model:

• Numbers that have the same absolute value are called opposites. Therefore, 7 and -7 are opposites.

Examples:

Page 25: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 26: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Day 4

Page 27: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Bell Work

Create a number line and plot each given integer.

1. 3, -7, -2, 6, 10, -3

2. -14, -16, 20, 18, 12, -20

3. 10, 40, -50, 80, -80, -20

Extension: Which two Integers have the same absolute value (opposites) in question number 1? Number 2? Number 3?

Page 28: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

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

Any whole 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.

Integer - Is a whole number that can be greater than or less than zero.

Page 29: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

I Can….

Finish my exam on time.

You will have 40 minutes to

complete 30 questions.

Page 30: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

End of Unit Exam

Please clear your desk of everything, except for a pencil and calculator.

Page 31: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 32: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

Day 5

Page 33: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

No School

Page 34: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

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

Any whole 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.

Integer - Is a whole number that can be greater than or less than zero.

Page 35: Chapter 7 Integers Part 1. 1.Percent of a NumberPercent of a Number 2.+ and - Integers+ and - Integers 3.Locating and Graphing IntegersLocating and Graphing

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