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Math

Number System

Vectors

Vector Operations

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  7. Adding And Subtracting Vectors
  8. Understanding Vector Subtraction In Terms Of Adding The Additive Inverse

Understanding Vector Subtraction In Terms Of Adding The Additive Inverse Lessons

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11th Grade - 12th Grade

Vector Analysis - Components and Directions - Vectors and Scalars

Vector Analysis - Components and Directions - Vectors and Scalars

Lesson

Vector Analysis - Components and Directions - Vectors and Scalars

11th Grade - 12th Grade

Physics

Study the complexities of vectors and scalars, with particular attention to velocity vectors, direction analysis, and vector components. Gain skills in calculating vector magnitudes and directions to deepen understanding of vector addition and decomposition into components.

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10th Grade - 12th Grade

Vector Operations - Vectors in Space - Linear Algebra Concepts

Vector Operations - Vectors in Space - Linear Algebra Concepts

Lesson

Vector Operations - Vectors in Space - Linear Algebra Concepts

10th Grade - 12th Grade

Mathematics

Explore vector operations in three-dimensional space, focusing on calculating distances, position vectors, and unit vectors. Enhance your ability to perform vector calculations and deepen your understanding of the geometric interpretations of vectors in space. This foundational knowledge is essential for mastering advanced linear algebra concepts.

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9th Grade - 12th Grade

Forces and Motion - Vector Calculations - Physics

Forces and Motion - Vector Calculations - Physics

Lesson

Forces and Motion - Vector Calculations - Physics

9th Grade - 12th Grade

Physics

Explore pivotal physics concepts including net force, vector sums, and angle measurements with a focus on practical applications through illustrative example problems. Gain a profound understanding of force interactions and vector analysis, equipping learners to solve complex physics challenges with efficiency.

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10th Grade - 12th Grade

Understanding Speed Changes - Vector and Scalar Quantities - Physics

Understanding Speed Changes - Vector and Scalar Quantities - Physics

Lesson

Understanding Speed Changes - Vector and Scalar Quantities - Physics

10th Grade - 12th Grade

Physics

Examine the differences between scalar and vector quantities through real-world examples involving speed and direction changes. Learners will enhance their understanding of these concepts and improve problem-solving skills by engaging with scenario-based questions, applying them to everyday situations.

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9th Grade - 12th Grade

Analyzing Quadrant Placement - Negative Ax Values - Coordinate Systems

Analyzing Quadrant Placement - Negative Ax Values - Coordinate Systems

Lesson

Analyzing Quadrant Placement - Negative Ax Values - Coordinate Systems

9th Grade - 12th Grade

Physics

Exploration of point placement in a coordinate system focuses on scenarios where the x-coordinate is negative, identifying relevant quadrants. Develop skills in pinpointing quadrant locations and applying this understanding to accurately solve problems within the coordinate system.

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9th Grade - 12th Grade

Unit Assessment - Fundamentals of Physics - Introduction to Physical Concepts

Unit Assessment - Fundamentals of Physics - Introduction to Physical Concepts

Lesson

Unit Assessment - Fundamentals of Physics - Introduction to Physical Concepts

9th Grade - 12th Grade

Science

Master fundamental physics concepts such as scientific notation, unit conversions, significant figures, and vector mathematics. Develop skills in identifying scalar and vector quantities and converting measurements, thereby enhancing analytical thinking and problem-solving abilities.

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10th Grade - 12th Grade

Acceleration - Uniform Circular Motion - Physics Concepts

Acceleration - Uniform Circular Motion - Physics Concepts

Lesson

Acceleration - Uniform Circular Motion - Physics Concepts

10th Grade - 12th Grade

Physics

Explore the essential concepts of uniform circular motion, with a focus on the behavior of acceleration within such systems. Comprehend the direction of acceleration and apply this understanding to analyze scenarios involving circular paths, enhancing critical thinking and problem-solving skills in physics.

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9th Grade - 12th Grade

Evaluation of Absolute Value Expressions - Understanding Vectors and Operations

Evaluation of Absolute Value Expressions - Understanding Vectors and Operations

Lesson

Evaluation of Absolute Value Expressions - Understanding Vectors and Operations

9th Grade - 12th Grade

Mathematics

Explore the evaluation of absolute value expressions and their application in understanding vectors and mathematical operations. Gain insights into key mathematical principles, including the order of operations, enhancing problem-solving skills by applying these concepts.

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9th Grade - 12th Grade

Understanding the Law of Cosines - Problem Solving in Trigonometry

Understanding the Law of Cosines - Problem Solving in Trigonometry

Lesson

Understanding the Law of Cosines - Problem Solving in Trigonometry

9th Grade - 12th Grade

Physics

Investigate the Law of Cosines and its applications in solving trigonometric problems, such as determining distances and directions. Enhance problem-solving skills through the application of trigonometric principles to real-world scenarios.

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9th Grade - 12th Grade

Vector and Scalar Quantities - Introductory Concepts in Physics

Vector and Scalar Quantities - Introductory Concepts in Physics

Lesson

Vector and Scalar Quantities - Introductory Concepts in Physics

9th Grade - 12th Grade

Physics

Investigate the fundamental differences between vector and scalar quantities through engaging exercises and real-world examples. Learners will identify key properties of these quantities and apply this knowledge to solve physics problems.

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11th Grade - 12th Grade

Component Analysis - Vector Addition - Physics

Component Analysis - Vector Addition - Physics

Lesson

Component Analysis - Vector Addition - Physics

11th Grade - 12th Grade

Science

Focuses on adding vectors by components, emphasizing the determination of x and y components from known magnitudes and angles. Enhances understanding of vector resolution while developing skills in calculating resultant vectors in physical systems.

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10th Grade - 12th Grade

Unit Vector Calculations - Direction and Components - Vector Analysis

Unit Vector Calculations - Direction and Components - Vector Analysis

Lesson

Unit Vector Calculations - Direction and Components - Vector Analysis

10th Grade - 12th Grade

Mathematics

Explore unit vector calculations by determining vector directions and components through practical challenges. Gain proficiency in deriving unit vectors, understand vector notation, and apply this knowledge to solve vector-related problems in physics and mathematics.

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9th Grade - 11th Grade

Operations with Complex Numbers - Simplification and Multiplication

Operations with Complex Numbers - Simplification and Multiplication

Lesson

Operations with Complex Numbers - Simplification and Multiplication

9th Grade - 11th Grade

Mathematics

Explore the processes of adding, subtracting, and multiplying complex numbers to gain a strong understanding of complex arithmetic. Achieve confidence in simplifying and manipulating complex expressions, enhancing mathematical problem-solving skills.

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9th Grade - 12th Grade

Vector Angle Analysis - Directional Angles - Vector Mathematics

Vector Angle Analysis - Directional Angles - Vector Mathematics

Lesson

Vector Angle Analysis - Directional Angles - Vector Mathematics

9th Grade - 12th Grade

Physics

Explore the concept of directional angles in vector mathematics, focusing on calculating and interpreting angles such as 27° East of South. Develop skills in vector analysis and enhance understanding of angular measurements through applications in real-world scenarios like historical high school sports rivalries.

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9th Grade - 12th Grade

Understanding Scalars and Vectors - Fundamental Concepts in Physics

Understanding Scalars and Vectors - Fundamental Concepts in Physics

Lesson

Understanding Scalars and Vectors - Fundamental Concepts in Physics

9th Grade - 12th Grade

Physics, Science

Explore the fundamental concepts of scalars and vectors, highlighting their differences and applications in physics. Master the skills of identifying and distinguishing between scalar and vector quantities, understanding their significance in various real-world contexts.

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9th Grade - 11th Grade

Polynomial Operations - Adding & Subtracting - Understanding Polynomial Expressions

Polynomial Operations - Adding & Subtracting - Understanding Polynomial Expressions

Lesson

Polynomial Operations - Adding & Subtracting - Understanding Polynomial Expressions

9th Grade - 11th Grade

Mathematics

Master the fundamental concepts of adding and subtracting polynomials by identifying various types of polynomials, understanding polynomial degrees, and recognizing leading coefficients. Gain the ability to organize polynomials in standard form, enhancing confidence in manipulating algebraic expressions.

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7th Grade - 10th Grade

Distance and Displacement - Motion Concepts - Physics Fundamentals

Distance and Displacement - Motion Concepts - Physics Fundamentals

Lesson

Distance and Displacement - Motion Concepts - Physics Fundamentals

7th Grade - 10th Grade

Science

Explore the differences between distance and displacement, understanding concepts of motion and frames of reference. Differentiate these measurements and comprehend their implications through engaging questions and examples.

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8th Grade - 12th Grade

Classifying and Simplifying - Polynomial Operations

Classifying and Simplifying - Polynomial Operations

Lesson

Classifying and Simplifying - Polynomial Operations

8th Grade - 12th Grade

Mathematics

Examine the essential concepts of polynomial arithmetic by focusing on classifying and simplifying polynomial expressions. Enhance the ability to distinguish between monomials, binomials, and trinomials, and develop expertise in simplifying complex polynomial equations.

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9th Grade - 12th Grade

Graphical Techniques - Vector Addition - Fundamental Physics Concepts

Graphical Techniques - Vector Addition - Fundamental Physics Concepts

Lesson

Graphical Techniques - Vector Addition - Fundamental Physics Concepts

9th Grade - 12th Grade

Chemistry

Explore the fundamentals of vector addition using graphical techniques, focusing on recognizing the difference between scalars and vectors and graphically computing resultant vectors. Gain a deeper understanding of vector components, enhance problem-solving skills, and apply learned principles to calculate real-world displacements and forces.

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10th Grade - 12th Grade

Subtracting Rational Expressions - Denominators - Rational Numbers

Subtracting Rational Expressions - Denominators - Rational Numbers

Lesson

Subtracting Rational Expressions - Denominators - Rational Numbers

10th Grade - 12th Grade

Mathematics

Learn the fundamentals of subtracting rational expressions with a focus on the importance of common denominators. Acquire skills to effectively find and use common denominators and master the process of resolving expressions efficiently.

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