Sample Work for Algebra 1A--Foundations
Unit 3: Solving Inequalities
Lesson 1: Solving Inequalities Using Addition or Subtraction
Objective: Can you use addition and subtraction to solve inequalities?
Equivalent inequalities are ______
Points to ponder: What is the difference between an equation and an inequality?
Practice work: Check off each as you do them
ÿ Complete theSolve It!for Chapter 3, Lesson 1 from the PowerAlgebra website.
ÿ Complete problems 1–4 from the PowerAlgebra website.
ÿ Watch the "Solving Inequalities Using Addition or Subtraction" Teachlet® tutorial.
ÿ Watch the "Inequalities" BrainPOP®movie.
ÿ Read pp. 171–173.
ÿ Complete problems 9–21, 25, 29–35, 45, 49, 59, and 61 on pp. 174–175.
ÿ Complete the review activities listed on page 4 of the lesson.
SHOW YOUR WORK FOR PROBLEMS 25 & 61 HERE:
Lesson 2: Solving Inequalities Using Multiplication and Division
Objective: Can you solve inequalities using multiplication and division?
An inequality is______
Challenge: You earn $250 per month from your part-time job. You are in a kayaking club that costs $20 per month, and you save at least $100 each month. Write and solve an inequality to find the possible amounts you have left to spend each month. (Extra Credit 3.1)
Practice work: Check off each as you do them
ÿ Watch the "Graphing and Solving Inequalities" BrainPOP® movie.
ÿ Complete problems 1–4 from the PowerAlgebra website.
ÿ Read pp. 178–181.
ÿ Complete problems 7–29 (odd only) on p. 181 and 33–47 (odd only) on p.182.
SHOW YOUR WORK FOR PROBLEMS 7 & 41 HERE:
Lesson 3: Solving Multi-Step Inequalities
Objective: Can you solve multi-step inequality with one variable?
Points to ponder: How do you know which operation to perform in order to isolate a variable?
Practice work: Check off each as you do them
ÿ Watch the "Solving Multi-Step Inequalities" Teachlet® tutorial.
ÿ Go tothe NLVM website touse the "Algebra Tiles" to complete the Concept Byte activity fromp. 185 of your textbook.
ÿ Read pp. 186–189 in your textbook.
ÿ Click on the link to download the 3-4 Additional Problems worksheet. Complete problems 1-20.
ÿ Complete problems 1-4 from the Lesson Check on p. 189
ÿ Complete problems 1-21 (odds) on p. 193.
SHOW YOUR WORK FOR PROBLEMS 1 & 2 HERE FROM THE WORKSHEET:
Challenge (Extra Credit 3.2): The elevator of a building can safely carry no more than 4000 lb. A worker moves supplies in 50-lb boxes from the loading dock to the fourth floor of the building. The worker weighs 210 lb. The cart he uses weighs 95 lb.
a. What is the greatest number of boxes he can move in one trip?
b. The worker needs to deliver 275 boxes. How many trips must he make?
Lesson 4: Working with Sets
Objective: Can you solve a two-step equation with one variable?
The complement of a set is______
An empty set is ______
Roster form means ______
Set-builder notation means ______
A universal set means ______
Practice work: Check off each as you do them
ÿ Complete the Solve It! for Chapter 3, Lesson 4 from the PowerAlgebra website
ÿ Complete problems 1–4 from the PowerAlgebra website.
ÿ Read pp. 194–196.
ÿ Complete problems 9–27 (odd only), 31, 33, 35, 41 and 43 on pp. 197–198 to practice using set notation.
ÿ Complete problems 1, 3, 5, 7, 9, 15, 19, and 21 of the practice 3-5 quiz.
SHOW YOUR WORK FOR PROBLEMS 13 & 15 HERE:
Lesson 5: Compound Inequalities
Objective: Can you solve and graph inequalities containing the word “and” & “or?”
A compound inequality is ______
Points to ponder: How is a compound inequality different from other types of inequalities?
Practice work: Check off each as you do them
ÿ Complete the Solve It! and the Dynamic Activity for Chapter 3, Lesson 5 from the PowerAlgebra website.
ÿ Complete problems 1-5 from the PowerAlgebra website.
ÿ Read p. 200–203.
ÿ Complete problems 9, 11, 13, 17, 19, 21, 25 on p. 204 and problems 27, 29, 31, and 35 on p. 205. Pay close attention to whether the compound inequalities are joined by “and” or “or.”
ÿ Complete the review activities on page 4 of the lesson.
SHOW YOUR WORK FOR PROBLEMS 11 & 17 HERE:
Challenge: (Extra Credit 3.3)
The student council wants to rent a ballroom for the junior prom. The ballroom’s rental rate is $1500 for 3 hours and $125 for each additional half hour. Suppose the student council raises $2125. What is the maximum number of hours for which they can rent the ballroom?
Lesson 6: Absolute Value Equations and Inequalities
Objective: Can you solve equations and inequalities involving absolute value?
Absolute value means ______
An equation is ______
An inequality is ______
A compound inequality is ______
Practice work: Check off each as you do them
ÿ Complete problems 1–5 from the PowerAlgebra website.
ÿ Read pp. 207–210.
ÿ Complete problems 9–29, 33, 37, 41 and 45 (odd only) on p. 211.
ÿ Complete the review activities found on page 4 of the lesson.
SHOW YOUR WORK FOR PROBLEMS 17 & 27 HERE:
Lesson 7: Unions and Intersections of Sets
Objective: Can you find the unions and intersctions of sets?
Disjoint sets are ______
An intersection is ______
A union is ______
Practice work: Check off each as you do them
ÿ Watch the "Unions and Intersections of Sets" Teachlet® tutorial.
ÿ Complete the Solve It! for Chapter 3, Lesson 8 from the PowerAlgebra website.
ÿ Complete problem 1 from the PowerAlgebra website.
ÿ Read pp. 214–218.
ÿ Complete problems 11–21 (odd only) on p. 218.
ÿ Complete the review activities found on page 4 of the lesson.
ÿ Complete the discussion question for this lesson.
SHOW YOUR WORK FOR PROBLEMS 11 & 21 HERE:
Lesson 8: Solving Inequalities Unit Review
Objective: Are you ready for the unit test?
Review Activities: Check off each as you do them
ÿ Review all vocabulary terms from the unit.
ÿ Complete the End-of-Chapter Practice and Review for Chapter 3 from the MathXL® for School website. Complete exercises 1–19 in this activity.
ÿ Complete problems 13-61 (odds) from theChapter Review on pp. 223–226.
ÿ The portfolio for this unit is NOT the unit review. Turn in the assignment entitled, “No Sweat!” instead.
Congratulations! You have just completed the Unit 3 Sample Work Study Guide! Please review all of the pages in this document for completeness. You will now submit this document for your SW assignment for Unit 3. Please be sure to include your full name.