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High School Integrated Mathematics I

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Description

Integrated Mathematics I is the foundation—the skills acquired in this course contain the basic knowledge needed for all future high school math courses. The material covered in this course is important, and everyone can do it. Everyone can have a good time solving the hundreds of real-world problems algebra can help answer. Course activities make the numbers, graphs, and equations more real. The content in this course is tied to real-world applications like sports, travel, business, and health. This course is designed to give students the skills and strategies to solve all kinds of mathematical problems. Students will also acquire the confidence needed to handle everything high school math has in store for them. Integrated Mathematics I emphasizes the importance of algebra and geometry in everyday life through hundreds of real-world examples. Assessments are designed to ensure that your understanding goes beyond rote memorization of steps and procedures. Upon successful course completion, students will have a strong foundation in Integrated Mathematics I and will be prepared for other higher level math courses.

Segment One

Module 01 - Algebra Foundations

  • Numerical Operations
  • Algebraic Expressions
  • Units and Graphs
  • Descriptive Modeling and Accuracy
  • Translations
  • Algebraic Properties and Equations

Module 02 - Equations and Inequalities 

  • One-Variable Equations
  • Two-Variable Equations
  • Absolute Value Equations
  • Inequalities
  • Compound Inequalities
  • Literal Equations

Module 03 - Linear Functions

  • Relations and Functions
  • Function Notation and Graphs
  • Linear Functions
  • Linear Models
  • Writing Linear Functions
  • Horizontal and Vertical Lines

Module 04 - Exponential Functions 

  • Properties of Exponents
  • Operations with Radicals
  • Exponential Functions and Models
  • Graphing Exponential Functions
  • Sequences
  • Exploring Linear and Exponential Growth

Module 05 - Systems of Equations 

  • Solving Systems of Equations Graphically
  • Solving Systems of Equations Algebraically
  • Solving Systems of Equations Approximately
  • Two-Variable Linear Inequalities
  • Systems of Linear Inequalities


Segment Two

Module 06 - Statistics 

  • Representing Data
  • Comparing Data Sets
  • Data Sets and Outliers
  • Two-Way Frequency Tables
  • Scatter Plots and Line of Best Fit
  • Correlation and Causation

Module 07 - Polynomials 

  • Introduction to Polynomials
  • Addition and Subtraction of Polynomials
  • Multiplication of Monomials
  • Division of Monomials
  • Multiplication of Polynomials
  • Special Products
  • Division of Polynomials
  • Function Operations

Module 08 - Factoring 

  • Greatest Common Factor
  • Factoring By Grouping
  • Factoring Trinomials
  • Perfect Square Trinomials
  • Difference of Perfect Squares
  • Polynomial Functions

Module 09 - Quadratic Functions

  • Quadratic Models
  • Quadratics and Completing the Square
  • Quadratics and the Quadratic Formula
  • Applications of Quadratic Functions
  • Exploring Non-Linear Systems and Growth

 Module 10 - Foundational Geometry

  • Basics of Geometry
  • Using the Coordinates
  • Coordinate Applications
  • Formulas
  • Applications of Volume