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Algebra

Polynomials

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  6. Polynomial Operations
  7. Adding And Subtracting Polynomials

Adding And Subtracting Polynomials Passages

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12th Grade

Factoring and Solving Equations - Algebra Concepts - Mathematics

Factoring and Solving Equations - Algebra Concepts - Mathematics

Comprehension

Factoring and Solving Equations - Algebra Concepts - Mathematics

12th Grade

Mathematics

Focuses on solving algebraic equations through factorization and exploration of various polynomial and multivariate equations. Develops skills in isolating variables and applying algebraic principles to find solutions, enhancing problem-solving capabilities.

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9th Grade

Polynomial Analysis - Operations and Form - Algebraic Expressions

Polynomial Analysis - Operations and Form - Algebraic Expressions

Comprehension

Polynomial Analysis - Operations and Form - Algebraic Expressions

9th Grade

Mathematics

Engage in polynomial analysis by exploring operations, forms, and expressions used in algebra. Cultivate skills in recognizing different polynomial forms and executing operations to bolster mathematical proficiency and enhance problem-solving capabilities.

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10th Grade

Polynomial Operations and Equations - Algebraic Manipulation

Polynomial Operations and Equations - Algebraic Manipulation

Comprehension

Polynomial Operations and Equations - Algebraic Manipulation

10th Grade

Mathematics

Study the fundamental principles of polynomial operations, focusing on addition, subtraction, multiplication, and equation solving. Develop the ability to combine like terms, apply effective multiplication techniques, and solve polynomial equations with precision. This foundational knowledge is essential for progression to more advanced mathematical studies.

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9th Grade

Understanding and Manipulating Monomials - Introduction to Identifying Monomials - Polynomial Operations

Understanding and Manipulating Monomials - Introduction to Identifying Monomials - Polynomial Operations

Comprehension

Understanding and Manipulating Monomials - Introduction to Identifying Monomials - Polynomial Operations

9th Grade

Mathematics

Explore foundational algebraic concepts by identifying and working with monomials. Learn the rules for adding and subtracting monomials to enhance algebraic manipulation skills. Develop the ability to recognize valid monomials and perform essential polynomial operations.

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12th Grade

Recipe Modification Techniques - Enhancing Nutrient Content - Dietary Modifications

Recipe Modification Techniques - Enhancing Nutrient Content - Dietary Modifications

Comprehension

Recipe Modification Techniques - Enhancing Nutrient Content - Dietary Modifications

12th Grade

Other

Explore techniques to enhance the nutritional profile of recipes by focusing on strategies to reduce fat, sodium, and sugar while increasing fiber content. Gain practical insights into recipe substitutions and learn to adapt dishes like crab cakes, beef stew, and carrot cake to meet healthier nutrition goals, promoting skills in nutritious cooking and ingredient adaptation.

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11th Grade

Electrical Engineering Fundamentals - Parallel Circuits Analysis - Circuit Theory Concepts

Electrical Engineering Fundamentals - Parallel Circuits Analysis - Circuit Theory Concepts

Comprehension

Electrical Engineering Fundamentals - Parallel Circuits Analysis - Circuit Theory Concepts

11th Grade

Science

Understand the principles of parallel circuits where components share an equal voltage, and the total current is the sum of currents through individual branches. Learn how to calculate equivalent resistance while gaining insights into current and voltage behavior in parallel configurations.

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12th Grade

Power Analysis - Types of Power - AC Circuits

Power Analysis - Types of Power - AC Circuits

Comprehension

Power Analysis - Types of Power - AC Circuits

12th Grade

Science

Examine the various types of power, including True, Reactive, and Apparent Power, essential for mastering AC circuits. Develop the capability to distinguish between these power types and calculate Apparent Power using the power triangle.

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9th Grade - 12th Grade

Fraud Detection - Ponzi Schemes - Financial Ethics

Fraud Detection - Ponzi Schemes - Financial Ethics

Comprehension

Fraud Detection - Ponzi Schemes - Financial Ethics

9th Grade - 12th Grade

Business

Examine the complexities of financial ethics through the Bernie Madoff scandal, a quintessential example of Ponzi schemes. Focus on identifying key indicators of fraudulent activities and enhance critical thinking skills to evaluate financial integrity and oversight.

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12th Grade

AC Circuit Analysis - Resistance and Inductance - Electric Circuit Principles

AC Circuit Analysis - Resistance and Inductance - Electric Circuit Principles

Comprehension

AC Circuit Analysis - Resistance and Inductance - Electric Circuit Principles

12th Grade

Science

Explore the principles of alternating current (AC) circuits with emphasis on the roles of resistance and inductance. Enhance understanding of electric circuit behaviors by applying laws such as Ohm's Law and examining the impact of variables like frequency on circuit components.

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12th Grade

[Environmental Impact Analysis - Confinement Farming - Hog Feeding Operations]

[Environmental Impact Analysis - Confinement Farming - Hog Feeding Operations]

Comprehension

[Environmental Impact Analysis - Confinement Farming - Hog Feeding Operations]

12th Grade

Science

Investigate the environmental impacts of hog feeding operations and confinement farming on Iowa's natural resources. Gain an appreciation for the significance of sustainable farming practices while understanding the challenge of meeting meat production demands alongside ecological preservation.

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9th Grade

Understanding Polynomial Functions - Analyzing Characteristics - Functions and Graphs

Understanding Polynomial Functions - Analyzing Characteristics - Functions and Graphs

Comprehension

Understanding Polynomial Functions - Analyzing Characteristics - Functions and Graphs

9th Grade

Mathematics

Analyze polynomial functions by examining their key characteristics, including turning points, symmetry, and leading coefficients. Develop the ability to identify function properties and interpret graphical representations. Enhance understanding of mathematical concepts related to polynomials through this targeted exploration.

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10th Grade

Construction Pathway Exploration - Skills and Occupations

Construction Pathway Exploration - Skills and Occupations

Comprehension

Construction Pathway Exploration - Skills and Occupations

10th Grade

Other

Explore various occupations within the construction pathway, focusing on the essential skills and responsibilities associated with each role. Gain insights into different construction positions and understand the specific tasks involved, thereby enhancing career awareness and vocational proficiency.

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12th Grade

Electrical Connections - Star and Delta Configurations - Three-Phase Systems

Electrical Connections - Star and Delta Configurations - Three-Phase Systems

Comprehension

Electrical Connections - Star and Delta Configurations - Three-Phase Systems

12th Grade

Science

Explore the fundamentals of star and delta configurations within three-phase electrical systems, understanding their impact on current and voltage relationships. Gain a comprehensive understanding of alternating currents and phase relationships, applying these concepts effectively to real-world electrical systems.

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11th Grade

[Critical Analysis - Global Initiatives - Terrorism and War]

[Critical Analysis - Global Initiatives - Terrorism and War]

Comprehension

[Critical Analysis - Global Initiatives - Terrorism and War]

11th Grade

History

Explore an in-depth analysis of the Global War on Terror, focusing on major operations, strategic decisions, and international collaborations. Gain an understanding of global security strategies, their complex dynamics, and implications for international relations and policy formulation.

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9th Grade

Spreadsheet Calculations - Analyzing Prices and Quantities - Cooking Ingredients

Spreadsheet Calculations - Analyzing Prices and Quantities - Cooking Ingredients

Comprehension

Spreadsheet Calculations - Analyzing Prices and Quantities - Cooking Ingredients

9th Grade

Computers

Learn to utilize spreadsheets for analyzing prices and quantities of cooking ingredients by developing skills in cost calculations, distinguishing product quantity and price differences, and applying formulas. Gain practical understanding of spreadsheet functions in real-world scenarios, enhancing analytical and computational abilities.

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10th Grade

Matrix Basics - Introduction - Mathematics

Matrix Basics - Introduction - Mathematics

Comprehension

Matrix Basics - Introduction - Mathematics

10th Grade

Mathematics

Explore foundational concepts of matrices, including their definition, application, and operations. Enhance problem-solving skills in linear algebra through an understanding of these key elements.

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