Math 8 CCSS Lesson Brainstorm
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CCSSLAUSDStandard’s Exact WordingSkills + ExtraDigital
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Stand.UnitVOCABULARY words are underlinedVocabularyDescriptionResourceOur RatingVersion in…
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Know that there are numbers that are not rational, and approximate them by rational numbers
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8.NS.A.11Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
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Rational, irrational, decimal expansionconvert decimals to fractions1. http://www.illustrativemathematics.org/illustrations/3351.  not great, 3 problems
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identify irrational numbers2. http://www.illustrativemathematics.org/illustrations/3342.  8 problems, identify if rational.  OK.  Probably can find better on Kuta
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3.  Glencoe Algebra text, p. 46-52, plus worksheets for Chapter 1-8.
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Rational vs. Irrational MAPS task4. http://map.mathshell.org/materials/download.php?fileid=1245Individual pre-assessment, then group task and poster
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8.NS.A.21Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
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Khan Acad Video on approximating sq. root of 451. https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/approximating-square-roots1.  Good method, but he talks too fast for our kids.
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Lesson online teaching how to do it (above), then a great worksheet generator with answers to approx. square roots up to x digits:2. http://www.homeschoolmath.net/teaching/square-root-algorithm.php2. Both Excellent.  Shows exactly how to find decimal approximations for irrational numbers.  We can easily make worksheets for this.  
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3. From old text McDougal, PDF on Wiki page “CCSS Required Fluency”http://www.homeschoolmath.net/worksheets/square-roots.php3.  Good visual method for ELs.
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4.  http://www.illustrativemathematics.org/illustrations/3364.  very good, compares radicals, exponents, pi
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put 4 irrational numbers on a number line. 5. http://www.illustrativemathematics.org/illustrations/3375.  Good, but need more practice over time
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placing a square root on a number line to one decimal point6. http://www.illustrativemathematics.org/illustrations/12216.  Very good, but easier way???
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7. http://illuminations.nctm.org/LessonDetail.aspx?id=L8547.  Good, interesting method
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LOOK FOR MORE activities on this website.  It may be hard b/c standards aren’t noted.  
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