Chapter 10

http://www.youtube.com/watch?v=yVUtSYPYM5M

Part 1 is an introduction to square roots, includes definitions, and covers taking square roots of perfect square whole numbers.

THE FIREFOX BROWSER DOES NOT SHOW ALL UPDATES AND VIDEOS.

USE ANOTHER BROWSER TO SEE ALL OF MY VIDEOS.

Watch these in order.

10.1 & 10.2

10V1: Square Roots and Radicals Part 1:

http://www.youtube.com/watch?v=F43YI0qvIOA

Part 2 covers how to take the square root of perfect squares that include variables.

10V2: Square Roots and Radicals Part 2:

http://www.youtube.com/watch?v=pfwOsMVqZyY

Part 8 covers how to simplify higher order roots such as cube roots, etc.

10V3: Square Roots and Radicals Part 8: WATCH THE FIRST PART UP THROUGH 6 minutes 15 sec right before you get to the cube root of 40. (NOTE: YOU'LL WATCH THE WHOLE VIDEO FOR 10V14 and copy the whole video at that time, or begin at 6 min 15 sec.)

http://www.youtube.com/watch?v=CCd1HrPizmw

Part 3 covers how to approximate square roots of numbers that are not perfect squares.

10V4: Square Roots and Radicals Part 3:

http://www.youtube.com/watch?v=3YbwhlqlvPs

10V5: Rational Exponents Part 1 covers the meaning of a fractional exponent when the numerator is 1, and provides examples.

10V6: Rational Exponents Part 2 covers the meaning of a fractional exponent, and provides examples.

http://www.youtube.com/watch?v=LoZn5mfbHr8

10V7: Rational Exponents Part 3 shows examples working with radicals and fractional exponents.

http://www.youtube.com/watch?v=ry-oYLDi4L8

10V8: Rational Exponents Part 4 shows more problems and examples working with radicals and fractional exponents.

http://www.youtube.com/watch?v=GJWekWPKopo

10V9: Rational Exponents Part 5 shows more problems examples working with radicals and fractional exponents, and how to write as a single radical.

http://www.youtube.com/watch?v=AyS4qUtTYcA

10.3

10V10: Square Roots and Radicals Part 4:

http://www.youtube.com/watch?v=5gQkJRDboLE

Part 4 covers how to multiply with square roots.

10V11: Square Roots and Radicals Part 5:

http://www.youtube.com/watch?v=ZDyScPdbTNs

Part 5 covers how to simplify square roots.

10V12: Square Roots and Radicals Part 6:

http://www.youtube.com/watch?v=uL4uJ3BrTJw

Part 6 includes more examples of simplifying square roots.

10V13: Square Roots and Radicals Part 7:

http://www.youtube.com/watch?v=jSwM-sDlIWk

Part 7 covers more examples of multiplying and simplifying with square roots.

10V14: Square Roots and Radicals Part 8: (NOTE: THIS IS THE SAME VIDEO AS 10V3. You should watch the whole video again. You can do notes starting from the beginning, or start copying at 6 minutes 15 seconds with the cube root of 40.)

http://www.youtube.com/watch?v=pfwOsMVqZyY

Part 8 covers how to simplify higher order roots such as cube roots, etc.

10V15: Square Roots and Radicals Part 9:

http://www.youtube.com/watch?v=kHjtxARrRxs

Part 9 includes more examples when simplifying higher order roots.

10V16: Square Roots and Radicals Part 10:

http://www.youtube.com/watch?v=v86ce3J_t-s

Part 10 covers higher order roots including roots of negative numbers.

The two videos below show how to find the distance formula between 2 points. It is optional for students to include the video notes for these in Notebook 2 Math 101 Fall 2011.

Distance Formula Part 1: Shows how to use pythagorean theorem to derive the distance formula between 2 points, and provides one example: http://www.youtube.com/watch?v=8r42MOXki1M

Distance Formula Part 2: Shows several examples using the distance formula to find the distance between 2 points: http://www.youtube.com/watch?v=Zc-jusxENDM

http://www.youtube.com/watch?v=DUfGfgHPOxE

Part 12 covers adding and subtracting higher order roots.

Square Roots and Radicals Part 12b: More examples adding and subtracting with higher order roots

http://youtu.be/etSm_frE_9U

10V17: Square Roots and Radicals Part 11:

http://www.youtube.com/watch?v=G5ShlAIIusU

Part 11 covers adding and subtracting with square roots.

10V18: Square Roots and Radicals Part 12:

10.4

http://www.youtube.com/watch?v=-4Z3cfQbSCk

Part 13 covers multiplying with square roots using the distributive property and multiplying two binomials using the FOIL method.

10V19: Square Roots and Radicals Part 13:

http://www.youtube.com/watch?v=fs9UYgIXacQ

Part 15 covers dividing with square roots using the quotient rule. Explains rationalizing the denominator for monomials with square roots in the denominator.

10V21: Square Roots and Radicals Part 15:

http://www.youtube.com/watch?v=hmr73HQqEa0

Part 14 covers multiplying with square roots using the distributive property and multiplying two binomials using the FOIL method. Includes squaring binomials containing square roots.

10.5

10V20: Square Roots and Radicals Part 14:

http://www.youtube.com/watch?v=mYiN8KzQ5n8

Part 16 covers dividing with square roots using the quotient rule. Explains rationalizing the denominator for monomials with square roots in the denominator. Continuation of Part 16 with more examples.

10V22: Square Roots and Radicals Part 16:

http://www.youtube.com/watch?v=_M4W1vcsXms

Part 17 covers dividing with higher order roots using the quotient rule. Explains rationalizing the denominator for monomials with higher order roots in the denominator.

10V23: Square Roots and Radicals Part 17:

http://www.youtube.com/watch?v=6864x4JSmxY

Part 18 covers rationalizing the denominator when binomials containing square roots are in the denominator. Defines conjugates.

10V24: Square Roots and Radicals Part 18:

10V25: Square Roots and Radicals Part 19:

http://www.youtube.com/watch?v=zLS469sfcJI

Expands on problems from Square Roots and Radicals 18 with more examples rationalizing the denominator.

10.6

10V26: Solving Radical Equations Part 1

http://www.youtube.com/watch?v=n6NBXVUS29U

10V27: Solving Radical Equations Part 2

http://www.youtube.com/watch?v=ILBqcnXTDBE

10V28: Solving Radical Equations Part 3

http://www.youtube.com/watch?v=52xMzV5EqNE

10V29: Solving Radical Equations Part 4

http://www.youtube.com/watch?v=DNp5slhIh6k

10V30: Solving Radical Equations Part 5

http://www.youtube.com/watch?v=luQqQbBK2uo

More difficult problems containing more than one radical are below.

Solving Radical Equations 7

Contains 2 radicals; Shows how to solve a radical equation that has 2 radicals that after squaring both sides twice to eliminate both radicals produces a quadratic equation. Same problem is shown by solving it differently in part 8. http://youtu.be/urzN0FndW68

Solving Radical Equations 8

Here are some problems using the Pythagorean Theorem:

10V31: Pythagorean Theorem 1: Find side of a right triangle using the Pythagorean Theorem.

http://www.youtube.com/watch?v=BQYYWvtdMms

10V32: Pythagorean Theorem 2: Find side of a right triangle using the Pythagorean Theorem.

http://www.youtube.com/watch?v=bY49QPinkvw

10V33: This is a Word Problem you solve by writing an equation and factoring. Word Problem 5 - Pythagorean Theorem-Find the lengths of the sides of the right triangle shown on the diagram.

http://www.youtube.com/watch?v=5TPrdcpgtX8

10.7

10V34: Complex Numbers 1: Introduction to the Imaginary unit (imaginary number) i which is the square root of -1, and complex numbers. Several examples are provided, showing how to simplify square roots of negative numbers, define pure imaginary numbers, state the standard form of a complex number, and identify the real and imaginary parts of a complex number in standard form.

http://www.youtube.com/watch?v=zK25rGJBfB0

10V35: Complex Numbers 2: Shows how to simplify square roots of negative numbers, and multiply and divide with imaginary and complex numbers.

http://www.youtube.com/watch?v=TcFGmGMtE24

10V36: Complex Numbers 3: Shows how to simplify square roots of negative numbers, and multiply imaginary numbers, as well as multiply, add and subtract complex numbers in standard form.

http://www.youtube.com/watch?v=b9jIuySxN8c

10V37: Complex Numbers 4: Shows how to multiply, and square complex numbers in standard form. Also, complex conjugates are defined and the product of complex conjugates is shown.

http://www.youtube.com/watch?v=LuyODzozd44

10V38: Complex Numbers 5: Shows how to divide by pure complex numbers by multiplying numerator and denominator by i.

http://www.youtube.com/watch?v=EyzepHsj7OI

10V39: Complex Numbers 6: Shows how to divide by complex numbers in standard form by multiplying numerator and denominator by the conjugate of the complex number in the denominator.

http://www.youtube.com/watch?v=PCHqM_2rtbw

10V40: Complex Numbers 7: Shows how to simplify powers of i.

http://www.youtube.com/watch?v=My9MfX2dv54

10V41: Complex Numbers 8: Summary and review of simplifying square roots of negative numbers and complex number, adding, subtracting, multiplying, dividing by complex numbers, and simplifying powers of i.

http://www.youtube.com/watch?v=x1vkZHTKZGU

Solving Radical Equations 6

Contains 2 radicals; when solving, you get a quadratic equation that needs to be solved.

http://www.youtube.com/watch?v=edLm17B5pnU

Page updated

Google Sites

Report abuse