Introducing Integers (1).notebook November 01, 2017

Introducing Integers

Objectives:1) Define and identify integers2) Write the opposites of integers3) Use integers to represent real-world data4) Graph integers on a number line and a line plot5) Compare and order integers

Integers

Vocabulary

positive numbers

negative numbers

&

opposites

integers

Select a word.

Introducing Integers (1).notebook November 01, 2017

Integers

practice

Integers are all whole numbers and their opposites. An integer can be any one of the following :

... -4, -3, -2, -1, 0, +1, +2, +3, +4, ...

Definition

negative numbers

Negative numbers are always written with a minus (-) sign.

Positive & Negative Numbers

10 2 3 4 5 6 7 8 9 10­1­2­3­4­5­6­7­8­9­10

practice

Positive numbers can be written with or without a plus (+) sign.

positive numbers

Zero is neither positive nor negative

+ -

Introducing Integers (1).notebook November 01, 2017

Opposites

opposites practice

­10 ­9  ­8  ­7  ­6   ­5   ­4   ­3    ­2   ­1    0   +1  +2  +3   +4  +5  +6  +7  +8  +9 +10

Opposite integers are integers that are an equal distance from zero.

Example: +7 and -7 are opposites

up down

Use integers to represent data

practice

Integers can be used to represent real-world data.

temperature

finance elevation

games

Introducing Integers (1).notebook November 01, 2017

practice

Create line plots using integers

x xx

xx

xx

Line plots can include negative integers!

X X

­1 0­2­3­4­5 1 2 3 4 5

X XX

XXX

X

X

Golf Scores

Sean plotted his golf scores for his last 10 games below. (in reference to par)

(par)

Compare and Order Integers

practice

-4 < 0 < 2

Numbers are arranged in order from least to greatest on a number line.

numbers get bigger

numbers get smaller

­1 0­2­3­4­5 1 2 3 4 5

Any number is greater than all the numbers to its left on a number line (or less than all the numbers to its right).

Introducing Integers (1).notebook November 01, 2017

.85414

25538

18-

75.35

back to vocabulary

Find the integers.

6873

235- 594

- 3,752

If they are not integers throw them in the garbage.

back to vocabulary

0 5

23

-4 -2

1 -5

Drag the integers to their position on the number line.

CheckCheck

HintHint

Introducing Integers (1).notebook November 01, 2017

+34 _____

-12 _____

-2 _____

+64 _____

-843 _____

-34

+ 12

+ 2- 64

+ 843

Match each integer with its opposite.

next

Drag the integer beside its opposite.

negative (-) positive (+)

save increasehigher more thangainless thanbelow spend decreaseloss lessabovedepositwithdrawal risefall

Using positive and negative words...

Drag the words to the correct category.

more practice

Introducing Integers (1).notebook November 01, 2017

Seven degrees below zero _____

Going up four floors on the elevator _____

Owing $50 _____

150 meters above sea level _____

Move back four spaces _____

Five shots under par _____

Write an integer for each phrase.

­7

+4

­50

+150

­4

­5

Use the Magic Eraser to reveal the correct

answers!

next

Introducing Integers (1).notebook November 01, 2017

-10 -5 0 5 10 15

next

Make a line plot of the data

The table shows the lowest temperatures recorded over a 30 day period in Denver. Use the "x" to record the data on the line plot.

Lowest Temperatures (0F)

x

Check

Check

Drag the correct sign between the pairs of integers.

5 ­ 1

­ 2­ 4

2­ 2

­ 3 ­ 5 0 ­ 2

­ 5 2 ­ 1 3

­ 3 3

Compare the integers

?

?

?

?

?

?

?

?

more practice

Introducing Integers (1).notebook November 01, 2017

Use the number line to write the integers in order from greatest to smallest.

A. -4, +6, -2, +1, 0 _____________

B. -2, -4, -1, -13 _____________

C. -6, +6, -3, +3, 0 _____________

D. -22, -36, -1, 0 _____________

+6, +1, 0, -2, -4

-1, -2, -4, -13

+6, +3, 0, -3, -6

0, -1, -22, -36

­10 ­9  ­8  ­7  ­6   ­5   ­4   ­3    ­2   ­1    0   +1  +2  +3   +4  +5  +6  +7  +8  +9 +10smallergreater

Move the rectangle up to reveal the answers.