Core 2012 - Secondary Mathematics II
Students in Secondary Mathematics II will focus on quadratic expressions, equations, and functions, extend the set of rational numbers to the set of complex numbers, link probability and data through conditional probability and counting methods, study similarity and right triangle trigonometry, and study circles with their quadratic algebraic representations.
Honors students will also represent complex numbers and their operations on the complex plane, solve systems of equations, prove and apply trigonometric identities, express conic sections algebraically, and solve problems using volume measurements.
All Secondary II Core Curriculum should be included in the Secondary II Honors Curriculum.
Secondary II Core
Secondary II Possible Sequence
Curriculum Guide
Introduction
Sample Table of Contents
Sample Planning Guide
Unit 1 Extending the Number System
Extend the Properties of Exponents to Rational Exponents
Use Properties of Rational and Irrational Numbers
Perform Arithmetic Operations with Complex Numbers
Perform Arithmetic Operations with Complex Numbers (Honors)
Perform Arithmetic Operations on Polynomials
Unit 2 Quadratic Functions and Modeling
Interpret Functions that Arise in Applications in Terms of a Context
Analyze Functions Using Different Representations
Build a Function that Models a Relationship Between Two Quantities
Build New Functions From Existing Functions
Construct and Compare Linear, Quadratic, and Exponential Models and Solve Problems
Unit 3 Expressions and Equations
Interpret the Structure of Expressions
Write Expressions in Equivalent Forms to Solve Problems
Create Equations that Describe Numbers or Relationships
Solve Equations and Inequalities in One Variable
Use Complex Numbers in Polynomial Identities and Equations
Use Complex Numbers in Polynomial Identities and Equations (Honors)
Solve Systems of Equations
Solve Systems of Equations (Honors)
Unit 4 Applications of Probability
Understand Independence and Conditional Probability and Use Them to Interpret Data
Use the Rules of Probability to Compute Probabilities of Compound Events in a Uniform Probability Model
Use the Rules of Probability to Compute Probabilities of Compound Events in a Uniform Probability Model (Honors)
Use Probability to Evaluate Outcomes of Decisions (Honors)
Unit 5 Similarity, Right Triangle Trigonometry and Proof
Understand Similarity in Terms of Similarity Transformations
Prove Geometric Theorems
Prove Theorems Involving Similarity
Use Coordinates to Prove Simple Geometric Theorems Algebraically
Define Trigonometric Ratios and Solve Problems Involving Right Triangles
Prove and Apply Trigonometric Identities
Prove and Apply Trigonometric Identities (Honors)
Unit 6 Circles With and Without Coordinates
Understand and Apply Theorems About Circles
Understand and Apply Theorems About Circles (Honors)
Find Arc Lengths and Areas of Sectors of Circles
Translate Between the Geometric Description and the Equation for a Conic Section
Use Coordinates to Prove Simple Geometric Theorems Algebraically
Explain Volume Formulas and Use Them to Solve Problems
Explain Volume Formulas and Use Them to Solve Problems (Honors)
Honors
The Complex Number System
Trigonometric Identities
Trigonometric Expressions
Radical Expressions