Unit 1: Algebra Basics
- Real Number System
- Absolute Value Expressions
- Real Number Operations
- Writing Expressions
- Order of Operations
- Combining Like Terms
- Distributive Property
REAL NUMBER SYSTEM
Overview: Students review rational and irrational numbers and are able to differentiate between rational and irrational numbers, as well as estimate the approximate value of irrational numbers, identify number sets specific numbers belong to, and compare real numbers using number lines and inequality signs
Common Core Learning Standards:
- 8.N.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.
- 8.N.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. For example, by truncating the decimal expansion of , show that it is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
BIG IDEAS/ENDURING UNDERSTANDINGS:
ESSENTIAL QUESTIONS:
LESSON LEARNING GOALS:
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Documents & Files
Chapter 5 Practice Test & Answer Key
m8_ch5_examview_-_rational_and_irrational_numbers.pdf |
Number Properties Foldable
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Properties of Numbers Quizlet |
Extra Resources
VIDEOS: *many videos include links to practice problems*
Classifying Numbers
What is a Rational Number?
What is an Irrational Number?
What is a Terminating Decimal?
What is a Repeating Decimal?
Convert a Repeating Decimal to a Fraction
Categories of Numbers
What is a Real Number?
What is an Integer?
Rational & irrational numbers Intro–Khan Academy
Approximating Irrational Numbers Videos and Practice
PRACTICE
Classify Numbers
Classify Rational/Irrational Numbers
Rational numbers on the NUMBER LINE
Additive & Multiplicative identity properties – http://www.virtualnerd.com/pre-algebra/algebra- tools/identity-definition.php
Additive & Multiplicative inverse properties – http://www.virtualnerd.com/algebra-1/algebra- foundations/inverse-properties-of-addition-and-multiplication.php
Commutative properties – http://www.virtualnerd.com/pre-algebra/algebra-tools/commutative-property- definition.php
Associative properties – http://www.virtualnerd.com/pre-algebra/algebra-tools/associative-property- definition.php
Reflexive property of equality – http://study.com/academy/lesson/reflexive-property-of-equality- definition-examples.html
Transitive property of equality – http://study.com/academy/lesson/transitive-property-of-equality- definition-example.html
Symmetric property of equality – http://study.com/academy/lesson/symmetric-property-of-equality- definition-examples.html
Classifying Numbers
What is a Rational Number?
What is an Irrational Number?
What is a Terminating Decimal?
What is a Repeating Decimal?
Convert a Repeating Decimal to a Fraction
Categories of Numbers
What is a Real Number?
What is an Integer?
Rational & irrational numbers Intro–Khan Academy
Approximating Irrational Numbers Videos and Practice
PRACTICE
Classify Numbers
Classify Rational/Irrational Numbers
Rational numbers on the NUMBER LINE
Additive & Multiplicative identity properties – http://www.virtualnerd.com/pre-algebra/algebra- tools/identity-definition.php
Additive & Multiplicative inverse properties – http://www.virtualnerd.com/algebra-1/algebra- foundations/inverse-properties-of-addition-and-multiplication.php
Commutative properties – http://www.virtualnerd.com/pre-algebra/algebra-tools/commutative-property- definition.php
Associative properties – http://www.virtualnerd.com/pre-algebra/algebra-tools/associative-property- definition.php
Reflexive property of equality – http://study.com/academy/lesson/reflexive-property-of-equality- definition-examples.html
Transitive property of equality – http://study.com/academy/lesson/transitive-property-of-equality- definition-example.html
Symmetric property of equality – http://study.com/academy/lesson/symmetric-property-of-equality- definition-examples.html