Selective Unit 2 (S02)

ALGEBRA

(SECONDARY)

SELECTIVE UNIT 2 (S02)

(Algebraic Concepts)

(July 2013)

Unit Statement: In this unit, the student will have the opportunity to review key elements of the ten essential units covered in Algebra. This unit may be engaged throughout the year or after the completion of all 10 essential units. Teachers are encouraged to reflect on the level of mastery each student has acquired and adapt the unit to either serve as a reinforcement unit or as a challenge unit.

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 equations to represent situations and use inverse operations to solve them. [chapter 1, pp. 6-74]

2. TSW identify the properties of inequalities and solve them using inverse operations. [chapter 2, pp. 100-147]

3. TSW determine relationships between variables and identify functions. [chapter 3, pp. 164-211]

4. TSW write and graph linear functions. [chapter 4, pp. 230-307]

5. TSW find solutions which satisfy two or more linear equations and inequalities. [chapter 5, pp. 329-372]

6. TSW use properties of exponents to evaluate and simplify expressions containing exponents. [chapter 6, pp. 392-439]

7. TSW apply various methods to factor polynomials. [chapter 7, pp. 456-503]

8. TSW identify, graph, and solve quadratic equations. [chapter 8, pp. 522-597]

9. TSW compare several types of functions. [chapter 9, pp. 624-667]

Key Terms and Concepts:

For key terms and concepts, please refer to the ‘key vocabulary’ segments of each chapter and/or the vocabulary terms listed in each of the pertinent essential units.

Suggested Assessment Tools and Strategies:

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

Use formative and summative assessment strategies outlined in each of the previous essential units.

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 Chapters 1-9. Resource Materials for these chapters (hardcover or on Teacher One Stop CD-ROM or online support).

Keep a mathematics journal.

Use Reading Strategies supplement.

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……………………….

QSI ALGEBRA S02

SUGGESTED UNIT EVALUATION RUBRIC ALGEBRA S02

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 5 of the 9 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 equations to represent situations and use inverse operations to solve them. / Constructs viable arguments about the series of steps to take and critiques the reasoning of others. / Translates situations into algebraic expressions; applies inverse operations to solve literal equations and formulas for a given variable.
2- identify the properties of inequalities and solve them using inverse operations / Discusses similarities and differences between solving inequalities and equations; includes comparison of solutions and methods of checking solutions. / Isolates a given variable applying inverse operations; simplifies multi-step inequalities and combines like terms before attempting to solve; graphs solutions on the real number line.
3- determine relationships between variables and identify functions / Writes and evaluates functions based on examples; makes inferences and predictions using graphs by extending range and domain. / Uses tables to determine relationship between variables; expresses relations in terms of input (independent variable) and output (dependent variable); correctly graphs functions using x- and y-coordinates; uses appropriate domains and ranges of functions.
4- write and graph linear functions / Creates linear models and justifies which model (standard form, slope-intercept form, or point-slope form) is best suited for a particular problem. / Uses slope and ordered pairs to write linear equations in point-slope form; solves point-slope form for y to derive slope-intercept form; uses either form to determine intercepts and graph the line.
5- find solutions which satisfy two or more linear equations and inequalities / Uses ordered pairs and graphs to explain when a system of linear equations has infinitely, many or no solutions; analyzes a situation by comparing and choosing an appropriate method for solving linear equations in two variables; justifies the choice logically. / Identifies if ordered pairs are solutions of linear equations/inequalities; graphs systems of linear equations and identifies solutions visually; applies substitution and elimination methods to identify solutions.
6- use properties of exponents to evaluate and simplify expressions containing exponents / Uses power of product property to simplify extended fractional exponents; interprets patterns and structures of polynomials and deduces rules. / Finds the degree of polynomials and writes them in standard form; performs operations using zero, positive, and negative exponents; evaluates polynomial expressions.
7- apply various methods to factor polynomials / Justifies using a particular factoring method and lists possible alternatives. / Applies GCF and grouping techniques to factor polynomials; successfully applies the FOIL method to factorize; factors using perfect squares and difference of two squares.
8- identify, graph, and solve quadratic equations / Explains the difference in the domain and range of quadratic functions that have one, two, or no solutions; describes the relationship between solutions, the zeroes, and x-intercepts of quadratic equations. / Identifies quadratic functions using first and second differences; determines the vertex and zeroes (solutions); graphs quadratic functions giving the domain and range; solves quadratic equations using the quadratic formula; uses the discriminant to determine the number of real solutions.
9- compare several types of functions / Explains the differences between models in terms of rates of change; uses real world examples to illustrate differences. / Identifies properties of different function types and distinguishes between models; Determines which type of function models a given data set; writes equations to describe the function and solves using appropriate techniques.

QSI ALGEBRA S02