5.2 Irrational Numbers. By memory, write the decimal form for each Benchmark Fraction: Write down this problem on your COMMUNICATOR Be prepared to share.

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RATIONAL AND IRRATIONAL NUMBERS

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Presentation transcript:

5.2 Irrational Numbers

By memory, write the decimal form for each Benchmark Fraction: Write down this problem on your COMMUNICATOR Be prepared to share your work with the class. Page 48 of your INB

ITEMS of BUSINESS Rework is due TODAY Make plans to retake the test if you need to. - Practice Test completed - REWORK completed - 3x5 card made - schedule a time to retake * Last day to retake will be next Tuesday, DEC 9 th.

Homework Help

Have your homework out on your desk.

Hey You. Try this CHALLENGE question: Convert this Decimal to a fraction: … (must show work) Assign: x = …

Do you see a pattern? Last time we converted repeating decimals to fractions, such as these examples… 0.555… Assign: x = 0.555… 0.444… Assign: x = 0.444… … Assign: x = … This Shortcut only works when the repeating numbers are right after the decimal … Assign: x = … So this type of equation does not follow the pattern. Do you see a pattern?

Get into your 4- Square Groups Page of your INB

Perfect Squares Perfect are squares of Natural numbers Squares They LITERALLY describe the = 9

, 4, 9 & 16 are PERFECT SQUARES Are there more?

Perfect Squares MEMORIZE THEM

Are these Perfect Squares? Thumbs Up Perfect Squares Thumbs down Not Perfect Squares

SQUARE ROOTS Taking the square root of a perfect square will give you the dimension of one side of the square 3 3 = 3 2

Square Roots UNDO Squares 2 INVERSE OPERATIONS

Let’s try a few = 7 = 5 = 2 = 12 = 1

Square Roots jkkkk Foldable: Highlight the Perfect Squares

Class Activity (without a calculator)

Between which two Integers would you find… Square Roots jkkkk

Square Roots UNDO Squares INVERSE OPERATIONS We can use this inverse operation to solve equations with exponents.

Let’s try a few more s = 4m

Perfect Cubes Perfect are cubes of Natural numbers Cubes They LITERALLY describe the = 27 3

Perfect Cubes MEMORIZE THEM

CUBE ROOTS Taking the Cube root of a perfect cube will give you the dimension of one edge of the cube 3 3 = 3 3 3

Cube Roots UNDO Cubes 3 3 INVERSE OPERATIONS

Let’s try a few = 1 = 2 = 4

Cube Roots Foldable: Highlight the Perfect Cube Between which two Integers would you find…

Cube Roots UNDO Squares INVERSE OPERATIONS We can use this inverse operation to solve equations with exponents.

Let’s try a few more s = 5m

What is 5 4 ?55?55?

Are these numbers Rational? (Can they be written as a Fraction?) Thumbs Up Rational Thumbs down Not Rational … 0.333… Rational

Decimals that terminate or repeat. Examples: and 0.555… RATIONAL NUMBERS

Numbers that are NOT rational are Irrational. The decimal expansion of irrational numbers continue forever without any repeating pattern …

RATIONAL NUMBERS Decimals that terminate or repeat. Examples: and 0.555… IRRATIONAL NUMBERS Real numbers that are NOT RATIONAL The CRAZY Ones!

SHOW YOUR WORK Worksheet 5.2 Irrational Numbers