12th Grade Math Passages
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9th Grade - 12th Grade
Coordinate Geometry - Analytical Techniques - Mathematics
Comprehension
Coordinate Geometry - Analytical Techniques - Mathematics
9th Grade - 12th Grade
Mathematics
Explore the foundational concepts of coordinate geometry by focusing on the Cartesian coordinate system and its applications. Enhance problem-solving skills through a comprehensive understanding of algebraic techniques and mathematical frameworks relevant to real-world scenarios.
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9th Grade - 12th Grade
Formulating Linear Equations - Solving Real-World Word Problems - Algebraic Applications
Comprehension
Formulating Linear Equations - Solving Real-World Word Problems - Algebraic Applications
9th Grade - 12th Grade
Mathematics
Focuses on teaching how to write linear equations from word problems, concentrating on scenarios involving financial constraints, budgeting, and physical constraints. Develop skills to translate real-world situations into algebraic expressions, enhance problem-solving abilities, and apply linear equations to find solutions to contextual problems.
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12th Grade
Quadratic Equations - Solving Techniques - Advanced Algebra
Comprehension
Quadratic Equations - Solving Techniques - Advanced Algebra
12th Grade
Mathematics
Learn key techniques for solving quadratic equations, including completing the square and factoring. Develop the ability to solve quadratic equations proficiently, enhancing problem-solving skills in mathematics through the application of these methods to various algebraic problems.
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9th Grade - 12th Grade
Simplifying Expressions - Laws of Exponents - Algebra Fundamentals
Comprehension
Simplifying Expressions - Laws of Exponents - Algebra Fundamentals
9th Grade - 12th Grade
Mathematics
Focus is placed on simplifying expressions by applying laws of exponents, with an emphasis on converting negative exponents to positive. Learners will improve their algebraic manipulation skills and gain a deeper understanding of exponent properties.
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12th Grade
Quadratic Relations - Solutions & Solving Methods - Quadratic Equations
Comprehension
Quadratic Relations - Solutions & Solving Methods - Quadratic Equations
12th Grade
Mathematics
Learn the concepts of quadratic relations with a focus on solution methods for quadratic equations. Gain an understanding of the structure of quadratic equations and practice applying various solving methods such as factoring and utilizing the quadratic formula.
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12th Grade
Critical Thinking - Structured Problem Solving - Five-Step Model
Comprehension
Critical Thinking - Structured Problem Solving - Five-Step Model
12th Grade
Social Studies
Gain insights into effective problem-solving strategies by focusing on the structured Five-Step Model and its application in everyday life. Enhance your critical thinking and decision-making skills through the implementation of structured processes to manage personal and professional challenges.
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9th Grade - 12th Grade
Graphing Linear Equations - PSAT/SAT Algebra Preparation
Comprehension
Graphing Linear Equations - PSAT/SAT Algebra Preparation
9th Grade - 12th Grade
Education
Explore key techniques for graphing linear equations, including mastering slope-intercept form and recognizing perpendicular lines. Develop skills to solve algebraic problems and interpret graph equations accurately, building a solid foundation for PSAT and SAT algebra sections.
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9th Grade - 12th Grade
Triangle Congruence Proofs - SAS & CPCTC Theorems
Comprehension
Triangle Congruence Proofs - SAS & CPCTC Theorems
9th Grade - 12th Grade
Mathematics
Explore the principles of triangle congruence using key theorems such as Side-Angle-Side (SAS) and Corresponding Parts of Congruent Triangles are Congruent (CPCTC). Achieve a strong understanding of congruence proofs, laying a foundation for engaging with more advanced geometric concepts and proofs.
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8th Grade - University
Exponent Simplification Techniques - Exponent Laws - Algebra Fundamentals
Comprehension
Exponent Simplification Techniques - Exponent Laws - Algebra Fundamentals
8th Grade - University
Mathematics
Explore exponent simplification techniques using fundamental algebraic rules, focusing on the product and quotient laws. Gain proficiency in simplifying expressions involving exponents, including negative and fractional exponents, to enhance algebraic problem-solving skills.
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12th Grade
Geometric Transformations - Isometries and Topology - Advanced Mathematics Concepts
Comprehension
Geometric Transformations - Isometries and Topology - Advanced Mathematics Concepts
12th Grade
Mathematics
Explore geometric transformations and their mathematical properties with a focus on isometries, which preserve distances and angles. Understand key concepts such as the golden ratio and homeomorphisms. Apply topology to grasp the spatial properties of geometric shapes, enhancing insights into geometry and mathematical relationships.
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12th Grade
Problem Solving Strategies - Financial and Health Challenges - Critical Thinking
Comprehension
Problem Solving Strategies - Financial and Health Challenges - Critical Thinking
12th Grade
Social Studies
Exploring critical thinking techniques emphasizes problem-solving strategies related to financial and health challenges. Learners will cultivate skills in identifying issues and applying structured processes to discover solutions, enhancing their capacity to address complex problems effectively.
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9th Grade - 12th Grade
Sentence Structure Mastery - Identifying Phrases - English Language Skills
Comprehension
Sentence Structure Mastery - Identifying Phrases - English Language Skills
9th Grade - 12th Grade
English
Focus on mastering sentence structure and identifying different types of phrases within passages. Develop the ability to effectively combine sentences, identify appositive and prepositional phrases, and enhance sentence clarity and conciseness.
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8th Grade - 12th Grade
Volume Calculation Techniques - Geometric Solids - Mathematics
Comprehension
Volume Calculation Techniques - Geometric Solids - Mathematics
8th Grade - 12th Grade
Mathematics
The focus is on understanding and applying formulas to calculate the volume of geometric shapes such as cylinders, cones, and spheres. Learners will identify key formulas and concepts related to geometry and develop skills in solving volume-related problems.
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9th Grade - 12th Grade
[Solving Systems of Equations - Algebraic Methods - Linear Algebra]
Comprehension
[Solving Systems of Equations - Algebraic Methods - Linear Algebra]
9th Grade - 12th Grade
Mathematics
Focuses on solving systems of linear equations using algebraic methods, identifying solutions, and analyzing function properties. Enhances skills in recognizing solutions and understanding key algebraic concepts related to linear equations.
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9th Grade - 12th Grade
Statistical Analysis - Case Studies in Wait Times & Performance
Comprehension
Statistical Analysis - Case Studies in Wait Times & Performance
9th Grade - 12th Grade
Mathematics
Enhance the ability to calculate and interpret statistical data in real-world scenarios involving customer wait times, student performance, and resource management. Improve critical problem-solving skills through effective analysis of summary statistics across diverse contexts.
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9th Grade - 12th Grade
Geometry - Circle Properties - Understanding Circles
Comprehension
Geometry - Circle Properties - Understanding Circles
9th Grade - 12th Grade
Mathematics
Focus on the properties of a circle, including diameters, arcs, angles, and calculations such as circumference and sector areas. Enhance geometry skills by applying formulas and definitions to solve related problems, fostering a comprehensive understanding of circular shapes and their attributes.
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9th Grade - 12th Grade
Solving Linear Systems - Word Problems and Applications - Algebra
Comprehension
Solving Linear Systems - Word Problems and Applications - Algebra
9th Grade - 12th Grade
Mathematics
Explore systems of linear equations through real-world applications and mathematical word problems to enhance problem-solving skills and deepen understanding of algebraic concepts.
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9th Grade - 12th Grade
Argumentation Skills - Argument Vocabulary and Concepts - Advanced English Language
Comprehension
Argumentation Skills - Argument Vocabulary and Concepts - Advanced English Language
9th Grade - 12th Grade
English
The content focuses on key argumentation vocabulary and concepts crucial for mastering advanced English language. Learners will improve their ability to identify and apply argumentation techniques, enhancing their critical thinking and analytical writing skills.
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9th Grade - 12th Grade
Geometric Construction Techniques - Pure Geometric Tools - Line and Angle Construction
Comprehension
Geometric Construction Techniques - Pure Geometric Tools - Line and Angle Construction
9th Grade - 12th Grade
Mathematics
Explore the fundamental tools and techniques in geometric constructions using compasses and straightedges. Focus on mastering the principles behind constructing lines and angles, cultivating the ability to execute precise geometric constructions without the use of protractors. Gain a deeper understanding of geometric principles while refining precision in drawing geometric figures.
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9th Grade - 12th Grade
Vector Addition - Parallelogram Method - Physics
Comprehension
Vector Addition - Parallelogram Method - Physics
9th Grade - 12th Grade
Physics
Explore vector addition using the Parallelogram Method to find the resultant of multiple forces. Gain proficiency in visualizing and calculating vector sums, enhancing problem-solving skills in physics.
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