• Quarter 1 Standards

    Posted by Katrina Hall on 8/12/2018

    Unit 1B – Rational & Irrational Numbers

    MAFS.8.NS.1.1: Know 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. (DOK 1)

     

    MAFS.8.NS.1.2: Use 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. (DOK 2)

    Advanced

    Level 4

    ·  uses approximations of irrational numbers to estimate the value of an expression

    ·  compares and orders rational and irrational numbers without a number line

    Proficient

    Level 3

    ·  places irrational numbers on a number line

    ·  identifies irrational decimal expansions as approximations

    ·  identifies rational and irrational numbers and converts less familiar rational numbers to fraction form

    Basic

    Level 2

    ·   identifies square roots of non-square numbers and pi as irrational numbers

    ·   identifies rational or irrational numbers and converts familiar rational numbers with one repeating digit to fraction form

    ·   knows that the square root of 2 is irrational

    Below Basic

    Level 1

    ·   knows the vocabulary and basic, underlying skills associated with the standard

    Vocabulary: repeating decimal, terminating decimal, rational number, irrational number

     

    Basic Skills: divide using long division, convert fractions and mixed numbers to decimals

     

    Unit 1A: Square Roots & Cube Roots

    MAFS.8.EE.1.2: Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that   is irrational. (DOK Level 1)

    Advanced

      Level 4

    · writes and solves equations representing real-world situations using square root and cube root symbols

    Proficient

      Level 3

    · uses square root and cube root symbols to represent solutions to mathematical equations in the form = p and = p, where p is a positive rational number

    · evaluates cube roots of small perfect cubes

    Basic

      Level 2

    · evaluates square roots and solves mathematical equations in the form = p, where p is a positive rational number and is a small perfect square

    · knows that square root 2 ( ) is irrational

    Below Basic

      Level 1

    · knows the vocabulary and basic, underlying skills associated with the standard

     Vocabulary: radical sign, square root, cube root, perfect square, perfect cube

     Basic Skills: understands exponents, memorizes square roots and cube roots

    No Attempt

      Level 0

    · no attempt was made to complete the assignment or the assignment was incomplete

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