2.1 rational numbers

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2.1 Comparing and Ordering Rational Numbers Lesson September 11 and 12 2014

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2.1 Rational Numbers

1

September 12, 2014

We organize numbers into sets by properties...

Number Sense2.1. Comparing Rational Numbers

2.1 Rational Numbers

2

September 12, 2014

Natural Numbers

The positive counting numbers excluding

zero 1

2

17

13

123

617

36

2.1 Rational Numbers

3

September 12, 2014

Whole Numbers

The positive counting numbers

including zero

0

1

45

232

17

5

56799

2.1 Rational Numbers

4

September 12, 2014

Integers

Positive and negative whole

numbers including zero

-3

-2 -1

0

1

2

3

2.1 Rational Numbers

5

September 12, 2014

Rational Numbers

Includes fractions, regular counting numbers, negative numbers,

terminating decimals and repeating decimals.

03

2.1 Rational Numbers

6

September 12, 2014

Irrational Numbers

An irrational number is a number whose

decimal part goes on forever and ever without repeating.

e

2.1 Rational Numbers

7

September 12, 2014

Irrational

Rational

Integers

Whole

Natural

Irrational

2.1 Rational Numbers

8

September 12, 2014

Irrational

Rational

Integers

Whole

Natural

Irrational

Move each number to the inner­most circle that it can be classified as a member of

Real Number Target

30617

1

­2

2.1 Rational Numbers

9

September 12, 2014

Rational

Integers

Whole

Natural

Irrational

Integers

Real Number Target

2.1 Rational Numbers

10

September 12, 2014

Comparing Rationals

Is 45 or  2

3greater?

2.1 Rational Numbers

11

September 12, 2014

2.1 Rational Numbers

12

September 12, 2014

2.1 Rational Numbers

13

September 12, 2014

Comparing Rationals

Is 45 or  2

3greater?

2. Use equivalent fractions...

2.1 Rational Numbers

14

September 12, 2014

Question: How much pizza would you rather have... 

12

of the pizza?

24 of the pizza?

2.1 Rational Numbers

15

September 12, 2014

Equivalent Fractions

It's the same!

2.1 Rational Numbers

16

September 12, 2014

Equivalent Fractions

To find equivalent fractions, multiply or divide the top and the bottom by the same number!

35

Let's find some equivalent fractions of...

2.1 Rational Numbers

17

September 12, 2014

Equivalent Fractions

To find equivalent fractions, multiply or divide the top and the bottom by the same number!

50100

Let's find some equivalent fractions of...

2.1 Rational Numbers

18

September 12, 2014

Equivalent Fractions

Find the missing number to make the fractions equivalent.

27

?35=

2.1 Rational Numbers

19

September 12, 2014

Equivalent Fractions

Find the missing number to make the fractions equivalent.

6?

3648=

2.1 Rational Numbers

20

September 12, 2014

Comparing Rationals

Is 45 or  2

3greater?

2. Use equivalent fractions...

2.1 Rational Numbers

21

September 12, 2014

Let's order the following rational numbers on a number line.

What are some strategies to help us?

1/2 3/4 1/4 ­4/8 ­2/4 ­0.2 6/8 4/4 ­7/8 1/3

­1 10

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