Essential UNIT 2 (E02)

ALGEBRA

(SECONDARY)

essential UNIT 2 (e02)

(Inequalities)

(July 2013)

Unit Statement: In this unit, the student will solve simple and compound inequalities. Students work with real number lines to explore solutions. For solving inequalities, the student will apply the same algebraic concepts mastered in E01 creating series of equivalent inequalities.

Essential Outcomes: (must be assessed for mastery)

Problem solving and higher order thinking components are essential for ‘A’ level mastery. Each outcome can contain problem solving and higher order thinking components (as found in suggested text).

1. The Student Will write inequalities and graph solutions on the real number line. [2.1, pp. 100-105]

2. TSW solve one-step inequalities using addition, subtraction, multiplication, and division. [2.2 & 2.3, pp. 106-111 & 112-117]

3. TSW solve multi-step inequalities and inequalities with variables on both sides. [2.4 & 2.5, pp. 120-125 & pp. 126-132]

4. TSW solve compound inequalities. [2.6, pp. 134-140]

5. TSW solve absolute value inequalities. [2.7, pp. 142-147]

6. TSW develop and/or engage in a real-life activity involving some or all of the concepts covered in this unit.*

Introduced and Practiced: (these are taught not assessed)

1. The Student Will practice reversing the symbol in inequalities when multiplying/dividing by a negative number on both sides. [2.3, pp. 112-117]

Key Terms and Concepts:

QSI ALGEBRA E02

Compound Inequality Inequality

Intersection

Solution of an Inequality

Union

QSI ALGEBRA E02

Suggested Assessment Tools and Strategies:

Attached Rubric or teacher-generated rubric that assesses ALL Essential Outcomes (TSWs).

Use formative and summative assessment strategies outlined on page 96B, E, F.

*TSW 6:

q Portray concepts such as minimum age for driving or maximum capacity of an elevator on a number line TSW 1.

q Show differences of day length, height of tides, etc. as addition and subtraction on the number line TSW 2.

q Use the number line to illustrate temperature ranges (day-night or summer-winter) TSW 4.

q Calculate and show velocities in terms of value and absolute value (e.g. of rockets in Physical Science class, balls in various ball sports played on campus, school buses, etc.) TSW 5.

Additional ideas and links can be obtained from the publisher’s website or at

http://www.education-world.com/a_curr/curr148.shtml

Suggested Resources:

Teacher’s Edition Chapter 2 Sections 1 through 7. Resource Materials for Chapter 2 (hardcover or on Teacher One Stop CD-ROM or online support).

Use Reading Strategies supplement.

Keep a mathematics journal.

Engage in chapter Lab Activities on pp. 133.

Technology Links:

Follett Destiny WebPath Express (found on school’s automated library system)

Tenmarks www.tenmarks.com/

Khan Academy https://www.khanacademy.org/

PhET Simulations http://phet.colorado.edu/en/simulations/category/math

EVALUATION RUBRIC FOUND ON FOLLOWING PAGE……………..

SUGGESTED UNIT EVALUATION RUBRIC ALGEBRA E02

Student Name: ______Date: ______

· To receive a ‘B’, the student must show ‘B’ level mastery on ALL Essential Outcomes (TSWs).

· To receive an ‘A’, the student must show ‘A’ level mastery in at least 3 of the 6 available TSW’s and ‘B’ level mastery on all of the remaining TSW’s.

TSW / ‘A’ LEVEL
(in addition to B-level work, the student also) / ‘B’ LEVEL / Notes
1- write inequalities and graph solutions on the real number line / Models values for x and y which make an inequality true and explains the difference for values which make it false. / Identifies solutions of inequalities in one variable; graphs inequalities on the real number line; writes inequalities from graphs.
2- solve one-step inequalities using addition, subtraction, multiplication, and division / Justifies when an inequality changes directions when solving it. / Applies arithmetic concepts to solve inequalities; graphs solutions on the real number line.
3- solve multi-step inequalities and inequalities with variables on both sides / Discusses similarities and differences between solving multi-step inequalities and equations; includes comparison of solutions and methods of checking solutions. / Isolates a variable applying concepts from earlier sections; simplifies inequalities and combines like terms before attempting to solve; graphs solutions on the real number line.
4- solve compound inequalities / Rewrites two individual inequalities into a compound inequality. / Solves compound inequalities distinguishing between AND and OR situations; displays results graphically, verbally, and analytically.
5- solve absolute value inequalities / Interprets solutions and justifies differences between solutions in absolute value equations and inequalities. / Solves absolute value inequalities; graphs solutions on the real number line; shows that some absolute value inequalities are always/never true.
6- develop and/or engage in a real-life activity involving some or all of the concepts covered in this unit. / Reflects on the project and consistently justifies the mathematical concepts used and how they apply to the activity. / Student clearly demonstrates mastery of key concepts of the unit as defined in this rubric; student articulates and explains mathematical concepts used.

QSI ALGEBRA E02