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Topic 12: Systems of Equations (Ch. 7)

 

                                                         

Goals and Problem Sets Handout
 

GREAT Introductory Games for This Topic:  

Shuttle Mission Math 

 

Weigh the Wangdoodles

 

 

 

Goal 1: Use graphs to explain how a linear system can have zero, one, or infinitely many solutions (7 – 1)
Goal 2: Solve systems of equations by graphing (7 – 1)

Required tasks/resources Optional tasks/resources
Guided notes handout Textbook pp. 340 - 342
Problem set: 7-1  

 

Goal 3:  Solve systems of equations by substitution (7 – 2)

Required tasks/resources  Optional tasks/resources
 Problem Set: 7 - 2  Textbook pp. 347 - 349
  Coolmath explanation: Solving by Substitution

 

Goal 4:  Solve systems of equations by elimination (7 – 3)
Goal 5: Determine algebraically whether a linear system has no solution, one solution, or infinitely many (7 – 3)

Required tasks/resources  Optional tasks/resources
  Problem Set: 7 - 3  Textbook pp. 353 - 356
  Coolmath explanation: Solving by Elimination
  Coolmath practice

 

Goal 6: Solve word problems using the following process:
1)  Define useful variables for a word problem
2)  Write equations that correctly model the problem. (The problem might require only one equation, or it might require a system of equations.)
3)  Answer the question in the word problem after solving the equation or system of equations you wrote to model the problem. (2 – 5, 7 – 4, and handouts)

Required tasks/resources  Optional tasks/resources
 Problem Set: 7 - 4  Re-watch "Word Problem Advice" from Topic 2
Various handouts as assigned  

 

Goal 7:  Graph linear inequalities and systems of linear inequalities and interpret their solution sets (7 -5 and 7-6)
Goal 8: Interpret graphs of systems of inequalities and use them to find solutions (7 – 6)

Required tasks/resources  Optional tasks/resources
Problem Set: 7 - 5 Textbook pp. 370 - 372 and 377 - 380
Problem Set: 7 - 6  

 

Topic Summary

 Required tasks/resources

Problem Set: Chapter Test Assignment

 Optional tasks/resources