• # 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)

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)

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