International Baccalaureate MYP Pacing Guide

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1 International Baccalaureate MYP Pacing Guide Subject Area: Algebra II / Trigonometry Grade: 9,10,11,12 Year: No. of Wk Unit title Preliminary topics in Algebra Absolute Value Equations & Inequalities Objective s/ CA Standard * Prerequisite Algebra I standards Unit Question How to do Operations with Real Numbers, Algebraic Expressions? How do you Solve Linear Equation and Linear Inequalities? 1.0 Equations and inequalities help us to express acceptable and unacceptable values of data. Content AOI** Approaches To Learning Number sets (Natural, Whole, Rational. Irrational, and Real); symbols. Elements, subsets. Unions and intersection. Solving Absolute Value Equations and Inequalities in one variable. Health and Education. Basic operations with integers, fractions and decimal numbers Nonabsolute value linear equations and inequalities Assessment /Benchmarks Learner Profile/ESLR s 2.5 Systems of Equations & Inequalities 2.0 How can we ensure optimum results when working under constraints? Solving linear systems by graphing, substitution, and Elimination (addition). Solving systems of inequalities by graphing. how to Solve single equations and inequalities, Graphing regular points(x,y) and linear functions District benchmark test

2 3.5 Quadratic Equations 3.5 Quadratic Functions 1 Complex Numbers 8.0 In what ways has International Baccalaureate MYP Pacing Guide 1. Solve x2 + bx + c = 0 by factoring 2. Solve ax2 + bx + c = 0 completing the square, 3. Solve x2 + bx + c = 0 By graphing. 4. Solve x2 + bx + c = 0 By quadratic formula. In what ways has We know the number 3 through examples such as three oranges or three cups. Does this support the existence of numbers in general? If so, what of numbers such as 0, -1, i? If not, in what sense do numbers exist and how can we use them for the benefit of mankind? 1,Graph Quadratic Functions in Standard Form 2 Graph Quadratic Functions in Vertex Form 1.Imaginary numbers 2.Graphing on a complex coordinate plane 3. Operation with complex numbers. 4. Solving Quadratic Equations over the set of complex numbers by completing the square and by using the quadratic formula. Problem solving using quadratic equation. Linear equations, Understandin g exponents, Factoring of integers. Plotting points on a coordinate system and graphing functions. 1.5 Polynomials In what ways has 1. Degree. Standard form. 2. Adding, subtracting, and multiplying. Polynomials. Properties of Exponents, collecting like terms. Division of

3 International Baccalaureate MYP Pacing Guide 3.Factoring Quadratic Polynomials. Factoring sums and differences of cubes. banking, integers with remainder. 2.5 Rational Expressions 7.0 How can we find common elements between different denominators to solve problems? 1.Simplify rational 2.Multiplying dividing rational 3.Adding and subtracting rational 4.Long division: synthetic division 5. Solving equations with rational. 6. Problem solving using equations with rational Health & Social Education. Factoring Polynomials, Simplifying Polynomial by factoring District benchmark test 4.5 Exponential Functions & Logarithms 12.0, 24.0, How do we measure growth in multiple ways? 1.Exponetnial functions; solving exponential equations 2.Logarthimsi functions; properties of logarithms; base translations 3. Compound interest; growth and decay Health and Social Education Environme nt Understandin g of the term exponent, Properties of Exponents Addition/sub traction, multiplicatio n/division of exponential

4 3.5 Probability & Standard Deviation International Baccalaureate MYP Pacing Guide 1.Counting principles; Communit simple and multipleevent probability Service y and 2.Permutations; combinations; conditional and binomial probability 3.Binomail expansion Is there a spectrum or continuum in my community with respect to physical characteristics and/or mental abilities? If so, where do I fit in? ~How can I use my experiences to help me choose future paths? Fractions, Graphing lines by plotting points District benchmark test Is it possible to predict your winnings in gambling or it is just luck? 2.5 Conics In what ways has banking, architecture, 1. Circle; equations in standard form; center and radius. 2. Conic equations; polynomial form; converting to standard form 3. Ellipses; equations in standard form; intercepts, foci, major and minor axes 4. Parabolas; equations in standard form; vertex, focus, directory, and axis of symmetry 5. Hyperbolas; equations in standard form; asymptotes, foci, transverse and Pythagorean theorem. Polynomials, Solving and factoring quadratics Graphing multiple functions on the same coordinate plane

5 International Baccalaureate MYP Pacing Guide conjugate axes 6. Rectangular hyperbolas; asymptotes, foci 1.5 Sequences & Series How do we measure growth and reduction in multiple ways? 1. Arithmetic geometric sequences. 2. Arithmetic and geometric series; sigma notation; formulas and their derivations for summing series; sums of infinite geometric series Health and Social Education Set of numbers and patterns, basic. 5 Trigonometry How can we respond to the specific needs of local environment such as town planning, designing buildings, spacemanagement, 1. Angles and unit circles; evaluating sine, cosine, and tangent of angles in multiples of 30 and 45 degrees. 2.Solving right triangles 3. Law of sine; law of cosines. 4. Problem solving using trig functions; navigation vectors 5. Radian measure 6. Basic graphs of sine, cosine, and tangent functions 7. Graphing sine and cosine functions; amplitude and period Environme nt Understandin g of angles in triangles and their relationships with the sides of the triangle, Right triangles.

6 2 for Semester I and Semester II Finals International Baccalaureate MYP Pacing Guide Semester Final exam *Standards Attached ** AOI: E = Environment; HSE = Health and social education;