ALGEBRA II GRADES [LEVEL 1] EWING PUBLIC SCHOOLS 1331 Lower Ferry Road Ewing, NJ 08618

Transcription

1 ALGEBRA II GRADES [LEVEL 1] EWING PUBLIC SCHOOLS 1331 Lower Ferry Road Ewing, NJ BOE Approval Date: 5/23/05 Written by: Saundra Conte Raymond Broach Keri Havel Superintendent Mary Sedhom

2 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

3 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.

4 2 EWING TOWNSHIP BOARD OF EDUCATION Ewing, New Jersey 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

5 3 UNIT 1: INEQUALITIES C1, D2 - solve inequalities Chapter 1 test C1, D2 - solve combined inequalities C1, D2 - use inequality models to solve problems C1, D2 - solve absolute values in open sentences C1, D2 - solve absolute value sentences graphically UNIT 2: LINEAR EQUATION FUNCTIONS B1, B2, C1, D2 - solve open sentences in two variables Chapter 2 test B1, B2, C1, D2 - graph linear equations in two variables B1, B2, C1, D2 - find the slope of the line B1, B2, C1, D2 - write the equation of a line B1, B2, C1, D2 - solve systems of linear equations in two variables B1, B2, C1, D2 - apply systems of equations to solve real word problems B1, B2, C1, D2 - solve linear inequalities in two variables B1, B2, C1, D2 - find values of functions and graphs B1, B2, C1, D2 - find equations of linear functions and apply properties of linear functions B1, B2, C1, D2 - graph relations and determine when relations are functions

6 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 simplify expressions involving the exponent zero and negative integral exponents - use scientific notation and significant digits simplify rational algebraic expressions 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

7 5 UNIT 5: IRRATIONAL AND COMPLEX NUMBERS A1, A2, A3, B1, - Find roots of real numbers Chapter 5 test A1, A2, A3, B1, - simplify expressions involving A1, A2, A3, B1, - simplify expressions involving sums of radicals A1, A2, A3, B1, - simplify products and quotients of binomials that contain radicals A1, A2, A3, B1, - solve equations containing radicals A1, A2, A3, B1, A1, A2, A3, B1,, 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

8 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 C1, D1 - solve problems involving direct, inverse and joint variation Chapter 7 test C1, D1 - divide polynomials using long division and synthetic division C1, D1 - solve polynomial equations C1, D1 - write a polynomial equation given the roots

9 7 UNIT 8: ANALYTIC GEOMETRY C1 - find the distance between any two points and the midpoint of the line segment joining them Chapter 8 test C C C 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 B1 - expand the meaning of exponents to include Chapter 9 test rational numbers and irrational numbers and B1 define exponential functions - find the composite of two given functions and find the inverse of a given function

10 8 UNIT 10: SEQUENCES AND SERIES A1, A2 - determine whether a sequence is arithmetic, Chapter 10 test geometric or neither, and supply missing terms of 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 A1, A2 - identify a series and use sigma notation A1, A2 - find sums of finite arithmetic and geometric.5 - All series A1, A2 - find sums of an infinite geometric series

11 9 APPENDIX: TESTS FOR UNITS 1-10