ALGEBRA II GRADES 10-11 [LEVEL 1] EWING PUBLIC SCHOOLS 1331 Lower Ferry Road Ewing, NJ 08618 BOE Approval Date: 5/23/05 Written by: Saundra Conte Raymond Broach Keri Havel Superintendent Mary Sedhom
TABLE OF CONTENTS Page Affirmative Action Statement 1 Board Policy on Curriculum Guides 2 Indicators/Outcomes/Assessments: Appendix: Unit 1: Inequalities 3 Unit 2: Linear Equation Functions 3 Unit 3: Products and Factors of Polynomials 4 Unit 4: Rational Equations 4 Unit 5: Irrational and Complex Numbers 5 Unit 6: Quadratic Equations and Functions 6 Unit 7: Variation and Polynomial Equations 6 Unit 8: Analytic Geometry 7 Unit 9: Exponential Functions 7 Unit 10: Sequences and Series 8 Tests for Units 1-10
1 AFFIRMATIVE ACTION STATEMENT It is the intention of the Ewing Township Public Schools to provide equal educational opportunities for all students, including equal access to all school facilities, programs, equipment, staff services, financial resources, courses or activities, and other benefits regardless of race, color, creed, religion, sex, ancestry, national origin, social, economic or academic status or physical handicap.
2 EWING TOWNSHIP BOARD OF EDUCATION Ewing, New Jersey 08618 Policy File Code: 2230 CURRICULUM GUIDES Curriculum guides shall be prepared for each course and/or area to be taught in the schools of this district to assist in the articulation of educational programs (curricula) between and among schools to provide continuous learning. Each guide shall contain objectives to be developed, suggested materials, activities designed to achieve all of these, and evaluation criteria intended to test the extent to which learning objectives have been achieved. The teacher will use the guide as the core of the courses he/she has been assigned to teach. It shall be the responsibility of the Superintendent to ensure that the curriculum guides are being followed. The Board of Education directs that a copy of each guide be maintained in the Office of the Assistant Superintendent for Curriculum and Instruction for review by members of the staff and Board. The Superintendent shall provide new curriculum guides or revisions to existing guides to the Board for study before implementation. By this means, the Board will determine which alterations to courses of study as defined by the law require the approval of the Board. Date: November 22, 1999 Legal Reference: N.J.S.A. 18A:33-1
3 UNIT 1: INEQUALITIES 4.3 - C1, D2 - solve inequalities Chapter 1 test 4.3 - C1, D2 - solve combined inequalities 4.3 - C1, D2 - use inequality models to solve problems 4.3 - C1, D2 - solve absolute values in open sentences 4.3 - C1, D2 - solve absolute value sentences graphically UNIT 2: LINEAR EQUATION FUNCTIONS 4.3 - B1, B2, C1, D2 - solve open sentences in two variables Chapter 2 test 4.3 - B1, B2, C1, D2 - graph linear equations in two variables 4.3 - B1, B2, C1, D2 - find the slope of the line 4.3 - B1, B2, C1, D2 - write the equation of a line 4.3 - B1, B2, C1, D2 - solve systems of linear equations in two variables 4.3 - B1, B2, C1, D2 - apply systems of equations to solve real word problems 4.3 - B1, B2, C1, D2 - solve linear inequalities in two variables 4.3 - B1, B2, C1, D2 - find values of functions and graphs 4.3 - B1, B2, C1, D2 - find equations of linear functions and apply properties of linear functions 4.3 - B1, B2, C1, D2 - graph relations and determine when relations are functions
4 UNIT 3: PRODUCTS AND FACTORS OF POLYNOMIALS - simplify, add and subtract polynomials Chapter 3 test - use laws of exponents to multiply a polynomial by a monomial - calculate the product of two or more polynomials - demonstrate factoring - solve polynomial equations and inequalities - apply polynomial equations to solve real world problems UNIT 4: RATIONAL EQUATIONS - simplify quotients using laws of exponents Chapter 4 test 4.3-4.3 - - simplify expressions involving the exponent zero and negative integral exponents - use scientific notation and significant digits 4.3-4.3 - - simplify rational algebraic expressions 4.3-4.3-4.3-4.3 - - simplify rational expressions by addition, subtraction, multiplication or division - simplify complex fractions - solve equations and inequalities that have fractional coefficients - solve and use fractional equations
5 UNIT 5: IRRATIONAL AND COMPLEX NUMBERS 4.1 - A1, A2, A3, B1, - Find roots of real numbers Chapter 5 test 4.1 - A1, A2, A3, B1, - simplify expressions involving 4.1 - A1, A2, A3, B1, - simplify expressions involving sums of radicals 4.1 - A1, A2, A3, B1, - simplify products and quotients of binomials that contain radicals 4.1 - A1, A2, A3, B1, - solve equations containing radicals 4.1 - A1, A2, A3, B1, 4.1 - A1, A2, A3, B1,, 4.1 - A1, A2, A3, B1,, - find and use decimal representations of real numbers - use the number i to simplify square roots of negative numbers - perform operations on complex numbers
6 UNIT 6: QUADRATIC EQUATIONS AND FUNCTIONS - solve quadratic equations by completing the square Chapter 6 test - solve quadratic equations by using the quadratic formula - determine the nature of the roots of a quadratic equation using the discriminant - identify and solve equations in quadratic form - graph parabolas - identify the vertex, axes of symmetry, maximum or minimum value, and roots of a parabola - determine the relationship between the roots and coefficients of a quadratic equation UNIT 7: VARIATION AND POLYNOMIAL EQUATIONS 4.3 - C1, D1 - solve problems involving direct, inverse and joint variation Chapter 7 test 4.3 - C1, D1 - divide polynomials using long division and synthetic division 4.3 - C1, D1 - solve polynomial equations 4.3 - C1, D1 - write a polynomial equation given the roots
7 UNIT 8: ANALYTIC GEOMETRY 4.2 - C1 - find the distance between any two points and the midpoint of the line segment joining them Chapter 8 test 4.2 - C1 4.2 - C1 4.2 - C1 4.2 - C1 - relate the center and the radius to the equation of a circle - identify the vertex, axes of symmetry, maximum or minimum value, and roots of a parabola - use algebraic methods to find exact solutions of quadratic systems - solve systems of linear equations in three variables UNIT 9: EXPONENTIAL FUNCTIONS 4.3 - B1 - expand the meaning of exponents to include Chapter 9 test rational numbers and irrational numbers and 4.3 - B1 define exponential functions - find the composite of two given functions and find the inverse of a given function
8 UNIT 10: SEQUENCES AND SERIES 4.3 - A1, A2 - determine whether a sequence is arithmetic, Chapter 10 test geometric or neither, and supply missing terms of 4.3 - A1, A2 a sequence - find a formula for the nth term of an arithmetic or geometric sequence and find specified terms of arithmetic or geometric sequences 4.3 - A1, A2 - identify a series and use sigma notation 4.3 - A1, A2 - find sums of finite arithmetic and geometric.5 - All series 4.3 - A1, A2 - find sums of an infinite geometric series
9 APPENDIX: TESTS FOR UNITS 1-10