You are here

Topic 13: Advanced Algebra 1 Topics (Chapter i)

 

Goals and Problem Sets Handout

 

Goal i: Simplify Radical Expressions

  • Add, subtract, and multiply radical expressions (11-4)
  • Rationalize the denominators of radical fractions (11-1 Ex 7 and 11-4 Ex 5) 
Required tasks/resources Optional tasks/resources
Video: Radical Operations (15 min) Textbook pp. 600 - 601 up to the paragraph on "Conjugates"
Problem set: 11 - 4 Part 1  
Video: Rationalize Denominators (22 min) Textbook p. 581 and p. 601 starting from "Conjugates" through p. 602
Problem Set:  Rationalizing Denominators  

 

Goal 2i:  Analyze Radical and Rational Equations

  • Solve radical equations (11 - 5)
  • Solve rational equations using several techniques (12-7)
  • Classify equations as linear, quadratic, absolute value, radical, or rational
  • Interpret the number of possible solutions according to the type of equation
  • Interpret extraneous solutions (11-5 and 12-7)  
Required tasks/resources  Optional tasks/resources

Video: Radical Equations (16 min)

 Textbook pp. 607 - 609
Problem Set: 11 - 5  
Video: Solve Rational Equations (20 min)  Textbook pp. 672 - 674
Problem Set: 12-7  

 

Goal 3i: Analyze and compare Exponential Functions, Rational Functions, Square Root Functions, and Linear Functions

  • Graph and interpret exponential functions (8-7, 8-8)
  • Graph and interpret rational functions (12-2) 
  • Graph and interpret square root functions (11-6) 
Required tasks/resources  Optional tasks/resources
Problem Set 8-7  Textbook pp. 430 - 432 and 437 - 441
Problem Set 8-8  
Problem Set 12 - 2 Textbook pp. 644 - 648
Problem Set 11 - 6 Textbook pp. 614 - 615

 

Topic Summary

 Required tasks/resources

Problem Set: Handout

 Optional tasks/resources