unit 4 - rational & radical expressions
Unit 4: Rational numbers extend the arithmetic of integers by allowing division by all numbers except 0. Similarly, rational expressions extend the arithmetic of polynomials by allowing division by all polynomials except the zero polynomial. A central theme of this unit is that the arithmetic of rational expressions is governed by the same rules as the arithmetic of rational numbers. Similarly, radical expressions follow the rules governed by irrational numbers.
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What is a rational expression?
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Rules for working with rational expressions
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Fractions before there were variables....
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Simplifying rational expression
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Multiply & divide rational expressions
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Add rational expressions
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Subtract rational expressions
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Try to simplify, add, subtract, multiply and divide rational expressions
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Try 11 Edia problems: Add, subtract, multiply, divide & solve rationals
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What is a radical expression?
Kahn solving radical equations
Try 5 radical equations
Mathbits.com radical equations
Paul's online practice radical equations
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Edia online practice for simplifying radicals
Khan practice
Edia radical equations
Try 5 more radical equations
Paul's online assignment radical equations
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Practice the following 10 radical equations on Edia
Radical to rational exponent conversion and evaluation
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How to solve radical equations
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Edia practice for radical equations
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Graphs with periodicty
Please practice! You will have to type the equation into your calculator in order to look at the graph and make a decision.
Try slide 2, 3, & 9 on the desmos activity
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Paul’s online notes on symmetry
Explanation on end behavior
Explanation of domain & range
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MATH OPTIONS FOR NEXT YEAR:
Ideas to pick the correct math/s for your interests/career:
Think: what am I good at, what degree do I want to obtain, what career fields interest me, how much is my training/degree going to cost.....
Do NOT Think: what is my bff doing, what is my group of friends doing, money grows on trees and college is free....Have a seat and put your seatbelt on for a reality check (if you think like this)...your bff is not going to help you pay your bills, buy you a car, pay for your house/rent, and feed your kids.
Think: what am I good at, what degree do I want to obtain, what career fields interest me, how much is my training/degree going to cost.....
Do NOT Think: what is my bff doing, what is my group of friends doing, money grows on trees and college is free....Have a seat and put your seatbelt on for a reality check (if you think like this)...your bff is not going to help you pay your bills, buy you a car, pay for your house/rent, and feed your kids.
AP Calculus preview
Honors PreCalculus preview
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AP statistics preview
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How to graph a rational function (without a calculator)
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Tutorial on how to use the TI for graphing
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Purplemath
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Rational graphing practice
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