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Integer Introduction

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Page 1: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Integer Introduction

Page 2: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Warm UpWrite each decimal as a fraction.

1.) 1.8 =

2.) 15.25 =

3.) .008 =

4.) .85 =

Page 3: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =
Page 4: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Objectives

Student Expectation: We will explore integers on a # line.

 

Product: I will explore integers on a # line

Page 5: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Vocabulary

oppositeintegerabsolute value

Page 6: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Create A Number Line

• Fold Sentence Strip in Half

• Place Zero (0) on sentence strip at fold

• Use a ruler and place marks at each inch.

• # the lines on each side of zero. Should go to 12 and -12.

Page 7: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Numbers on Number Line• On the LEFT side of zero, start with 1 and

the numbers get larger.

• Label the numbers on the LEFT side of zero with a negative sign (-); these are NEGATIVE NUMBERS and get smaller the farther you go from zero.

• The numbers on the RIGHT side of zero are POSITIVE NUMBERS and get larger the farther you go from zero.

Page 8: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

The opposite of a number is the samedistance from 0 on a number line as theoriginal number, but on the other sideof 0. Zero is its own opposite.

1 2 3 4 5 • •

–5–4–3–2–1 0

–4 and 4 are opposites

–4 4

Negative integers Positive integers

0 is neither positivenor negative

Page 9: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

The integers are the set of whole numbers and their opposites. By using integers, you can express elevations above, below, and at sea level. Sea level has an elevation of 0 feet.

The whole numbers are the counting numbers and zero: 0, 1, 2, 3, . . . .

Remember!

Page 10: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Graph the integer 7 and its opposite on a number line.

1 2 3 4 5 6 7 –7–6–5–4–3–2–1 0

Page 11: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Graph the integer 5 and its opposite on a number line.

1 2 3 4 5 6 7 –7 –6–5 –4 –3–2–1 0

Page 12: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

You can compare and order integers by graphing them on a number line. Integers increase in value as you move to the right along a number line. They decrease in value as you move to the left.

Page 13: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Compare the integers. Use < or >.

4 is farther to the right than -4, so 4 > -4.

1 2 3 4 5 6 7 –7–6–5–4–3–2–1 0

4 -4>

The symbol < means “is less than,” and the symbol > means “is greater than.”

Remember!

Page 14: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Compare the integers. Use < or >.

-15 -9

-15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1

Page 15: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Compare the integers. Use < or >.

1 2 3 4 5 6 7 –7–6–5–4–3–2–1 0

6 -6

Page 16: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Compare the integers. Use < or >.

-4 -11

-15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1

Page 17: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Use a number line to order the integers from least to greatest.

–3, 6, –5, 2, 0, –8

1 2 3 4 5 6 7 8 –8 –7–6 –5–4 –3 –2 –1 0

Page 18: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Use a number line to order the integers from least to greatest.

–5, 4, –3, 2, –1, –2

1 2 3 4 5 6 7 8 –8 –7–6–5–4 –3–2 –1 0

Page 19: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

A number’s absolute value is its distance from 0 on a number line.

Since distance can never be negative, absolute values are never negative.

They are always positive or zero.

Page 20: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Use a number line to find each absolute value.

|8|

1 2 3 4 5 6 7 8 –8 –7–6–5–4 –3–2 –1 0

8 units

8 is 8 units from 0, so |8| = 8.

Page 21: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

The symbol is read as “the absolute value of.” For example -3 is the absolute value of -3.

Reading Math

Page 22: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Use a number line to find each absolute value.

|–12|

–12 –11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2

Page 23: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Use a number line to find each absolute value.

|3|

1 2 3 4 5 6 7 8 –8 –7–6–5–4 –3–2 –1 0

Page 24: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Use a number line to find the absolute value.

|–9|

–12 –11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2

Page 25: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Lesson Quiz: Part I

Compare. Use <, >, or =.

1. –32 32

2. 26 |–26|

3. –8 –12

4. Use a number line to order the integers –2, 3, –4, 5, and –1 from least to greatest.

1 2 3 4 5 –5–4 –3 –2–1 0

Page 26: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Lesson Quiz: Part II

Use a number line to find the absolute value.

5. -3

1 2 3 4 5 –5 –4 –3 –2 –1 0

3 units

Page 27: Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

Assignment

Practice 2-1


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