Unit 3

Solving Inequalities

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Variable
Essential Question: How do you represent relationships between quantities that are not equal?

Equivalence
Essential Question: Can inequalities that appear to be different be equivalent?

Solving Equations & Inequalities
Essential Question: How can you solve inequalities?

Lesson/Objective Supplemental Lessons On-line Practice Homework
3-1  Inequalities and Their Graphs

Objective:  To write , graph, and identify solutions of inequalities

ESSENTIAL UNDERSTANDING: An inequality is a mathematical sentence that uses an inequality symbol to compare the values of two expressions. Inequalities can be represented with symbols. The solutions to an inequality in one variable can be represented on a number line.
 

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Solve It!

Additional
PROBLEMS

Enrich!

 

BOTH #3-1 and #3-2 DUE Friday, Nov 16

hw#3-1
Read Section 3-1
pg 167-169 #1-7 All, #11,15,18,19,23,27,35,39

hw #3-2
Read Section 3-2
pg 174-75 #1-8 All, #9,13,21,31,37,43,45,49,57,61

 

 

 

 

 

3-2  Solving Inequalities Using Addition or Subtraction

Objectives:  To use addition or subtraction to solve inequalities 

ESSENTIAL UNDERSTANDING (for 3-2 thru 3-6): Just as properties of equality can be used to equations, properties of inequalities can be used to solve inequalities, including multi-step and compound inequalities and inequalities in two variables (see Unit 6).

ESSENTIAL UNDERSTANDING (for 3-2 thru 3-6): Just as equivalent equations can be to solve equations, equivalent inequalities can be used to solve inequalities.
  

Solve It!

Additional
PROBLEMS

Enrich!

3-3  Solving Inequalities Using Multiplication or Division

Objectives:  To use multiplication or division to solve inequalities  
 

small Purplemath hyperlink graphic

 

Solve It!

Additional
PROBLEMS

Enrich!

Due Tuesday Nov 20
hw #3-3
pg 181-82 #1-6 All, #11,13,17,21,25,29,31,35,39

 
hw #3-4
pg 190-91 #15-27 ODD
3-4  Solving Multi-Step Inequalities

Objective: To solve multi-step inequalities

 

 

 

Solve It!

Additional
PROBLEMS

Enrich!

3-6  Compound Inequalities

Objective: To solve and graph inequalities containing the words AND & OR
 

small Purplemath hyperlink graphic

Solve It!

Additional
PROBLEMS

Enrich!

 

Due Monday, Nov 26th

hw #3-6  (we're skipping 3-5 for now... we'll be back!)
pg 204-205
#1-10 ALL
#11-31 ODD, 35, 37

QUIZ on sections 3-1 thru 3-4 Weds, Nov 28

3-7  Absolute Value Equations and Inequalities

Objective: To solve equations and inequalities involving absolute value

ESSENTIAL UNDERSTANDING: An equivalent pair of linear equations or inequalities can be used to solve absolute value equations and inequalities.

ESSENTIAL UNDERSTANDING: Absolute value equations and inequalities can be solved by first isolating the absolute value expression, if necessary, then writing an equivalent pair of linear equations or inequalities.
 

 

Excellent Lesson on Set-Notation from NY Regents Prep

Solve It!

Additional
PROBLEMS

Enrich!

 

hw#3-7 Due Weds Nov 28th

pg 210-11 #1-8 ALL
#23-29 ODD, 35-43 ODD

 

3-5  Working With Sets

Objective: To write sets and identify subsets. To find the complement of a set
 

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Additional
PROBLEMS

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hw#3-5 Due Fri Nov 30
Read pgs 194-96
Do pg 197-98 #6-48 Multiples of 3

Excellent Lesson on Set-Notation from NY Regents Prep

3-8  Unions and Intersections of Sets

Objective: To find the unions and intersections of sets

 

small Purplemath hyperlink graphic  

Solve It!

Additional
PROBLEMS

Enrich!

 

hw#3-8 Due 
pg 218-219 #10-21 ALL
                   #23-29 Odd
pg 220 #49-63 ALL


You should be looking at pg 223-226 #1-61 ALL in preparation for the UNIT TEST!
 
UNIT TEST REVIEW     hw#3-9 Due 
pg 223-226 #1-61 ALL 


 

UNIT 3 TEST:  TBA