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REVIEW

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Write down this problem on your COMMUNICATOR Be prepared to share your work with the class. Prepare for my Unit 5 Test By completing my practice test and making a 3x5 card of notes. Write down 5 Rational Numbers and 5 Irrational Numbers Defend your choices to your partner (justify your answers).

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Have your homework out on your desk.

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Try this CHALLENGE question: 0 It is the only Rational Number

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Chapter 5’s Write them down on your 3x5 card. Notecards and Calculators can only be used on part of the test this time.

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Benchmark Fractions MEMORIZE!! 0.50.25 0.75 0.125 0.375 0.625 0.875

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Comparing Numbers When comparing numbers, they need to be in the same format (in this case: both decimal) Compare, using the symbol. >

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Fractions Decimals 6.2

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TERMINATING DECIMALS In your groups, discuss a way to sort these decimals into two groups. 0.888… 0.264 -6.15 0.758574 0.5 4.123123… -1.222… Types of Decimals REPEATING DECIMALS

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0.3 Decimal Place Review What decimal place is this? tenth 5.347 thousandth 0.34 hundredth 0.347 thousandth

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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… 0.151515… Assign: x = 0.151515… This Shortcut only works when the repeating numbers are right after the decimal. 0.1333… Assign: x = 0.1333… So this type of equation does not follow the pattern. Do you see a pattern?

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RATIONAL NUMBERS Decimals that terminate or repeat. Examples: 0.356 and 0.555… IRRATIONAL NUMBERS Real numbers that are NOT RATIONAL The CRAZY Ones!

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Perfect Squares MEMORIZE THEM 1 4 9 16 25 36 49 64 81 100 121 144

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Square Roots UNDO Squares 2 INVERSE OPERATIONS

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Square Roots of Perfect Squares 2 3 4 5 6 7 8 10 9

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

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Find the Side, given the Area 6 ft.

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Between which two Integers would you find… Square Roots jkkkk

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Perfect Cubes MEMORIZE THEM 1 64 8 125 27

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Cube Roots UNDO Cubes 3 3 INVERSE OPERATIONS

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Cube Roots of Perfect Cubes 2 3 4 5

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

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Find the edge, given the Volume 2 m.

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

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CALCULATOR REVIEW SQUARE ROOTS CUBE ROOTS / ANY ROOTS # = 3

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1, 2, 3, 4…0 … -4, -3, -2 -1 Decimals that repeat and terminate Decimals that do not terminate or repeat 0.444… 0.125 0.6543986204… X

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No Calculator or Notecard on First 2 Pages Do the CIRCLED PROBLEMS on the PRACTICE TEST. When you finish, you can work on the rest of the problems. PRACTICE TEST

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CIRCLED ANSWERS 3b. 7 in. 4b. 2 in. 6b. 321/100 6e. 215/99 8a & b

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What’s your Score? Each answer part is worth 1 point 73 possible Now, finish the rest of the Practice Test!!!

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SHOW YOUR WORK Unit 5 Practice TEST

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1-2 Irrational Numbers and Square Roots. Geogebra Finding square roots of perfect squares Estimating a square root Comparing square roots Surface area.

1-2 Irrational Numbers and Square Roots. Geogebra Finding square roots of perfect squares Estimating a square root Comparing square roots Surface area.

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