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Algebra IA Learning Support
Course Description: This full credit course will focus on preparing students to take the Keystone Algebra I exam by focusing on Model 1 topics: Operations and Linear Equations and Inequalities. In addition, this class will allow students to work on math fundamentals that will help strengthen their overall math skills. These math fundamentals will include, but are not limited to, working with place values, fractions, and simplifying expressions. Students will be recommended for this course based on their academic needs.
Course Units:-
Solving Linear Equations
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Solving Linear Inequalities
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Solving Systems of Linear Equations
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Properties of Exponents and Radicals
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Polynomial Operations
Primary Texts:
Big Ideas Math: Algebra 1 (2019)
IXL Program
Algebra IB Learning Support
Course Description:
This course will serve as a continuation of the Algebra IA with Math Fundamentals course. Students will continue to prepare for the Keystone Algebra I exam by focusing on Model 2 concepts: Linear Functions and Data Organization. Students will also continue their work with Math Fundamentals that will help strengthen their math skills. Students will take the Keystone Algebra I exam in the Spring.
Prerequisite: Algebra IA with Math Fundamentals
Course Units:-
Review of Module 1 Topics
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Graphing Linear Functions
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Writing Linear Functions
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Data Analysis and Probability
Primary Texts:
Big Ideas Math: Algebra 1 (2019)
IXL Program
Ninth Grade - Algebra 1
Course Description: The goal of this course is to provide an in-depth study of algebraic skills and problem-solving techniques, with a focus on developing students’ ability to recognize and describe patterns using equations, tables, and graphs.
Course Units:- One-Variable Equations
- One-Variable Inequalities
- Absolute Value and Compound Inequalities in One Variable
- Functions
- Graphs of Two-Variable Linear Equations and Inequalities
- Writing Linear Equations
- Linear Systems of Equations and Inequalities
- Properties of Exponents and Radicals
- Polynomial Operations
- Quadratic Expressions and Equations
- Data and Probability
Primary Texts:
Big Ideas Math: Algebra 1 (2019)
List of Supplemental/Secondary Texts
IXL Assessment Suite
Ninth or Tenth Grade - Geometry
Course Description: In this full year course, students will explore geometric concepts, explorations and activities that build on their previous math courses, including Algebra I. Concepts such as distance, reasoning and proof, ratios, congruence and similarity, transformations, trigonometry, area, perimeter, surface area and volume will be explored. Students will make connections to algebra, and to the real world through applications. They will explore these concepts and topics in various ways, including the use of current technology.
Course Units:
- Distance
- Reasoning and proofs
- Ratios
- Transformations
- Trigonometry
- Polygons
- Area, perimeter, surface area and volume
Primary Texts:
Big Ideas Math: Geometry (2019)
List of Supplemental/Secondary Texts
IXL Assessment Suite; Delta Math Practice Problems
Tenth or Eleventh Grade - Algebra 2
Course Description: This course builds upon the concepts explored in Algebra I and Geometry. The course is based on the families of functions, including linear, quadratic, radical, and rational functions. Students will learn to represent functions as equations, tables, and graphs. They will also study coordinate geometry and model real world problems using functions. This course also features lessons that incorporate data analysis and geometry.
Course Units:
- Quadratic Factoring
- Quadratic Formula
- Applications of Quadratics
- Square Roots and Exponents
- Polynomial Expressions
Primary Texts:
McDougal-Litell: Algebra 2
List of Supplemental/Secondary Texts
Desmos; IXL Assessment Suite; Delta Math Practice Problems
Tenth or Eleventh Grade - Consumer Math
Course Description: This course teaches key math concepts essential for successful adult living. From buying groceries to budgeting for housing, education, and travel, to filling out job applications and interviewing for the job. Students gain practical math competence through real-world examples in the areas of money management, banking, credit-card math, career choices, consumerism, jobs, coupons and everyday living. Basic skills lessons review and practice mathematical concepts essential to everyday life.
Course Units:
- Geometry and Measurement
- Mental Math and Visual Models
- Fractions, Decimals, and Percent
- Data and Graphs
- Algebraic Thinking
Primary Texts:
EM Power
List of Supplemental/Secondary Texts
Delta Math Practice Problems
Tenth or Eleventh Grade - Precalculus
Course Description: This course is primarily for students desiring a full academic preparation of advanced algebra and trigonometry before taking calculus. It includes a thorough study of advanced algebra, trigonometry, and an introduction to basic calculus prerequisite concepts. This will give the student a background for continuing the study of mathematics in college and/or for meeting college entrance requirements.
Course Units:
- Functions and Their Graphs
- Polynomial and Rational Functions
- Exponential and Logarithmic Functions
- Trigonometry
- Analytic Trigonometry
Primary Texts:
Precalculus with Limits (2019) 3rd Edition
List of Supplemental/Secondary Texts
McDougall-Little Algebra 2
Twelfth Grade - Trigonometry
Course Description: The course will cover the properties and real-world applications of trigonometric functions using a traditional approach. The course will emphasize solving triangles by finding area, missing sides and angles, the development of graphs using trigonometric functions, and commonly used trigonometric identities. Geometric and algebraic concepts will also be reviewed, such as area, volume, and solving equations to better prepare them for real-world mathematical applications.
Course Units:
- Area Volume of Basic and Composite Shapes
- Pythagorean Theorem
- Right Triangle Trigonometry
- Graphing Sine and Cosine
- Law of Sines
- Law of Cosines
- Trig Identities
- Graphing Angles
- Word problems using Trig
Primary Texts:
College Trigonometry 6th Edition (Aufmann, Barker & Nation)
List of Supplemental/Secondary Texts
Desmos; Delta Math Practice Problems
Twelfth Grade - Probability and Statistics
Course Description: This semester course is designed to provide opportunities for students to learn about statistics and elementary probability theory. Students will explore how to collect, organize, analyze, and interpret numerical data. Real world problems and applications will be presented to help students use statistics and probability in the decision-making process.
Course Units:
- Central Tendency
- Standard Deviation
- Single Event Probability
- Multi Event Probability
- Counting Methods
Primary Texts:
Delta Math
List of Supplemental/Secondary Texts
Eleventh or Twelfth Grade - Honors Calculus
Course Description: This course will review advanced algebra and trigonometry topics. It will include the study of limits and continuity. Methods of differentiation and integration of polynomial, logarithmic and exponential functions, along with various applications of the derivative. An introduction to integration and basic applications of the integral will also be covered. This course prepares the student to experience success in a college calculus setting.
Course Units:
- Limits
- Differentiation
- Integration
Primary Texts:
Calculus of a Single Variable (10th Edition) by Ron Larson & Bruce Edwards
Supplementary Resources:
Geometer's Sketchpad
Eleventh or Twelfth Grade - AP Calculus
Course Description: An advanced placement course in mathematics consists of a full academic year of work in calculus and related topics comparable to courses offered at the university level. The course is intended for students who have a thorough understanding of mathematics: including algebra, geometry and trigonometry. AP Calculus is a course in introductory calculus with functions. A list of topics includes: properties of functions, limits, derivatives, anti-derivatives, and applications, techniques of integral calculus and applications of the definite integral.
Course Units:
- Limits, Differentiation
- Integration
- Differential Equations
- Logarithmic and Exponential Functions
Primary Texts:
Calculus of a Single Variable (10th Edition) by Ron Larson & Bruce Edwards
Supplementary Resources:
Geometer's Sketchpad
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