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Integrated Math II

Course Overview

  • Overview of Integrated Math II: Connecting Algebra, Geometry, and Statistics

  • Importance of Building on Prior Knowledge from Integrated Math I

  • Mathematical Thinking and Problem Solving in Real-World Contexts

  • Intro to New Topics: Polynomial Functions, Rational Functions, & Geometric Proofs

Algebraic Concepts

  • Solving and Graphing Quadratic Equations

  • Factoring Polynomials and Understanding the Zero Product Property

  • Completing the Square and the Quadratic Formula

  • Rational Expressions and Equations: Simplifying, Solving, and Graphing

  • Operations with Radical Expressions: Simplifying, Adding, Subtracting

  • Rational Functions: Asymptotes, Domain, Range, and Graphing

Geometry & Proof

  • Basic Geometric Proofs: Two-Column, Paragraph Proofs

  • Properties of Triangles: Congruence, Similarity, Pythagorean Theorem

  • Right Triangle Trigonometry: Sine, Cosine, Tangent

  • Circles: Central Angles, Arcs, Chords, Tangents, and Sector Areas

  • Coordinate Geometry: Distance, Midpoint, Slope, Equation of a Line

  • Transformations in Geometry: Reflections, Rotations, Translations, Dilations

Functions & Modeling

  • Polynomial Functions: Degree, Leading Coefficient, Zeros, and Graphing

  • Exponentials and Logarithmic Functions: Relationships and Graphs

  • Transformations of Functions: Vertical and Horizontal Shifts, Stretching, and Reflections

  • Piecewise Functions: Graphing and Solving Piecewise Equations

  • Real-World Applications of Polynomial and Exponential Functions

  • Function Operations: Addition, Subtraction, Multiplication, and Division of Functions

Statistics & Probability

  • Probability and Statistics Review: Mean, Median, Mode, and Variance

  • Introduction to Probability Distributions

  • Normal Distribution and Standard Deviation

  • Linear Regression: Using Data to Create a Line of Best Fit

  • Analyzing Data Using Correlation and Causation

  • Conditional Probability and Dependent/Independent Events

Problem Solving & Applications

  • Real-World Applications of Quadratics, Polynomials, and Exponentials

  • Solving Word Problems Involving Rational Expressions

  • Geometric Applications in Architecture, Engineering, and Art

  • Using Algebra to Solve Real-Life Situations

  • Mathematical Reasoning and Proofs in Problem Solving

Technology in Math

  • Using Graphing Calculators and Online Tools to Explore Functions

  • Using Software for Solving Polynomial Equations

  • Visualizing Geometric Figures and Transformations with Technology

  • Using Statistical Software for Data Analysis and Regression

Assessment & Practice

  • Quizzes, Tests, and Midterm Assessments

  • Cumulative Final Exam and Project-Based Assessments

  • Problem Solving and Word Problem Applications

  • Homework Assignments and Practice Sheets

  • Group Work and Collaborative Problem Solving

Preparation for Integrated Math III

  • Connecting the Concepts Learned to Advanced Algebra and Trigonometry

  • Preparing for Advanced Topics in Calculus and Probability

  • Review of Key Topics for Smooth Transition into Integrated Math III