Module 11

Radicals

 

 

  
NOTE:  All assignments for module 11 are listed below.

  • 11.01 Simplifying Radical Expressions

  • 11.02 Multiplying Radical Expressions

  • 11.03 Dividing and Simplifying Radical Expressions

  • 11.04 Adding and Subtracting Radical Expressions

  • 11.05 Pythagorean Theorem

  • 11.06 Equations with Radicals

  • 11.07 Birthday Party Piñata

  • 11.08 Catch Him If You Can

  • 11.09 SET

  • 11.10 Self Test

  • 11.11 Module Test

Book: Chapter 11

INTERACTIVE  GAMES

11.00

INEQUALITIES 

 

11.01

Square Root Pop Up

http://www.quia.com/pop/64879.html

11.01

Square Roots - (copy)

http://www.quia.com/jg/315315.html

11.01

Simplifying Radical Expressions

http://www.quia.com/rr/37102.html

11.01

Radical Expressions

http://www.quia.com/rr/63646.html

11.01

Rationalize the Denominator

http://www.quia.com/rr/63667.html

11.01

Adding and Subtracting Rational Expressions

http://www.quia.com/tq/287958.html

11.01

Radical Practice

http://www.quia.com/tq/349820.html

11.01

Radical quiz

http://www.quia.com/tq/280032.html

11.02

Solving Radical Equations

http://www.quia.com/cz/35259.html

11.02

Solving radical equations

http://www.quia.com/cb/31229.html

11.02

Show understanding about Radicals

http://www.quia.com/tq/280960.html

11.05

Pythagorean Theorem

http://www.quia.com/tq/281627.html

11.05

Pythagorean Theorem

http://www.shodor.org/interactivate/

activities/pyth2/index.html

11.05

Squaring the Triangle

http://www.shodor.org/interactivate/

activities/pyth/index.html

11.01 Simplifying Radical Expressions

Objective: To simplify radical expressions.

Narration: Look for perfect square factors in the radicand.  A radical expression has been simplified when its radicand contains no perfect square factors.

Algebra Notes - http://www.algebranotes.com/ - Lesson 9-1, 9-3a, 9-3, 9-2a, 12-2

Assignment: Page 493: #1 – 6, 27 – 31, 46 – 52

  

11.02 Multiplying Radical Expressions

Objective: To multiply radical expressions.

Narration: We can use the product property for radicals to multiply radicals.  It can also be used to simplify radicals.

Algebra Notes - http://www.algebranotes.com/ - 12-2, 12-3

Assignment: Page 496: #1 – 5, 16 – 24, 42 – 45

 

11.03 Dividing and Simplifying Radical Expressions

Objective: To divide expressions involving radicals.  To rationalize the denominator.

Narration:  The process of removing a fraction from the radicand or a radical from the denominator is call rationalizing the denominator.

Algebra Notes - http://www.algebranotes.com/ - 12-2

Assignment: Page 501: #1 – 4, 13 – 20, 33 – 42

 

11.04 Adding and Subtracting Radical Expressions

Objective: To add and subtract radical expressions.

Narration: When we have radical expressions with the same radicand we can simplify using the distributive property.

Algebra Notes - http://www.algebranotes.com/ - 12-2

Assignment: Page 505: #1 – 3, 10 – 15, 23 – 26

 

11.05 Pythagorean Theorem

Objective: To solve for the length of a side of triangles using the Pythagorean theorem.

Narration: The Pythagorean theorem:  a2 + b2 = c2

 Algebra Notes - http://www.algebranotes.com/ - Lesson 12-6

Assignment: Page 510 – 511: #1 – 6, 9 – 14

 

11.06 Equations with Radicals

Objective: To solve equations involving radicals.

Narration: Isolate the radical, then square both sides of the equation.

Algebra Notes - http://www.algebranotes.com/ - Lesson 12-3

Assignment: Page 523 : # 5 – 14

 

11.07 Birthday Party Piñata

Objective: To solve real life problem using the Pythagorean Theorem

Birthday Party Piñata

 Maria’s parents are going to surprise her with a piñata at her birthday party.  They plan to use a rope to hang the piñata between two poles that are each 18 feet tall.  If the poles are 30 feet apart, how much rope will be needed so that the piñata will hang 4 feet above the ground?

Maria’s parents discover that they only have a 36-foot piece of rope in their car, however they recognize that the poles can be moved.  How far apart should the poles be placed if the piñata is to hang 4 feet above the ground?

Maria’s extremely tall cousin Tony arrives and the piñata must be raise to a height of 8 feet off the ground.  How much rope will be needed if the poles remain in their new position?

In a Word document:

  • 1.                  Draw a diagram for each part.  (You can use your drawing tool, or you can use Geometer’s Sketchpad if you have that program)

  • 2.                  Write an equation and solve.  (Hint: use the Pythagorean Theorem!) Clearly show all of your work.  Be sure to answer each question with a sentence.

 Email the document to your online teacher.

 

11.08 Catch Him If You Can – [Link]

Objective: To solve real life problem using the Pythagorean Theorem

Narration: See the link.

 

11.09 SET

Objective: To develop reasoning skills

Narration: The more frequently you play this game, the faster you will develop your mathematical reasoning skills!

Assignment: Continue to play the game of SET at least twice per week.  Continue to record your time on your Excel spreadsheet and email it to your teacher each week.

 

11.10  Self Test

Objective:  For you to complete the self test with a perfect score.

 Narration:  Complete the self test which is a review of the concepts you learned in this lesson before you take the Module Test.

 http://phschool.com/atschool/california/mathematics/algebra1/Student_Area/ALG1_SC11_ST_index.html

 Assignment:   Email your score to your teacher.

 

11.11    Module Test

Your teacher will let you know how you can complete this test.

 

 

  

© 2002 Clovis Unified School District - CAL Online, All rights reserved.