Subject
Function Concepts Lessons
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Lesson
Understanding Linear Functions - Identifying Attributes - Introduction to Mathematics
9th Grade
Mathematics
Learn the fundamentals of linear functions by identifying them from graphs, tables, and equations. Develop the ability to recognize characteristics of linear functions and understand their applications by analyzing consistent patterns in mathematical data.
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Lesson
Understanding Quadratic Relationships - Graphs from Tables
9th Grade
Mathematics
Investigate the connection between quadratic tables and their corresponding graphs by translating numerical values into visual forms. Develop skills in plotting quadratic functions and recognize key features, including the vertex, intercepts, and axis of symmetry.
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Lesson
[Linear Relationship Analysis - From Tables to Graphs]
9th Grade
Mathematics
Understand the link between tabular data and graphical representations with a focus on linear functions and their defining traits. Develop skills in interpreting linear equations from tables, grasp the concept of slope and y-intercept, and apply this understanding to accurately graph the data.
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Lesson
Functions - Domain & Range - Function Notation
7th Grade - 9th Grade
Mathematics
Focus on fundamental concepts of functions by identifying domains and ranges, and understanding function notation. Develop the ability to analyze and interpret various function properties, thereby enhancing skills in mathematical reasoning and application.
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Lesson
Evaluate Functions - Algebraic Expressions - Function Analysis
9th Grade - 10th Grade
Mathematics
Explore the evaluation of functions and algebraic expressions within function analysis. Develop skills to identify non-functions and apply the order of operations to solve algebraic equations, ensuring accurate evaluation of functions.
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Lesson
Understanding Functions and Relations - Domain and Range - Mathematical Concepts
8th Grade - 11th Grade
Mathematics
Explore fundamental concepts of functions and relations, with a focus on understanding domain and range. Develop skills to identify and analyze functions, recognize their characteristics, and apply these concepts to solve mathematical problems effectively.
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Lesson
Transformations - Understanding and Applying Transformations - Functions
8th Grade - 11th Grade
Mathematics
Examines transformations of functions, focusing on the comprehension and utilization of transformation techniques. Develops analytical skills in identifying and describing function transformations, enhancing capabilities in mathematical functions and their practical applications.
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Lesson
Trigonometry - Problem-solving Strategies - Word Problems
8th Grade - 11th Grade
Mathematics
Focus is placed on solving trigonometry problems using diverse problem-solving strategies and techniques. Learners enhance their ability to apply trigonometric functions to real-world scenarios, improving skills in analyzing geometric situations and determining angles and heights.
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Lesson
Quadratic Functions - Graphing and Equations - Algebra 1
11th Grade
Mathematics
Focus on quadratic functions by graphing transformations and solving quadratic equations within the realm of Algebra 1. Enhance skills in analyzing quadratic graphs, identifying solutions to equations, and applying transformations to quadratic functions for a deeper understanding of foundational algebraic concepts.
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Lesson
Transformations - Functions - Analyzing Function Transformations
8th Grade - 11th Grade
Mathematics
Explore the transformations of mathematical functions, focusing on key concepts such as translations, reflections, and vertical stretches and compressions. Develop a deeper understanding of how to identify and describe changes in graphs, enhancing problem-solving skills and mathematical reasoning.
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Lesson
Understanding Piecewise Functions - Evaluating and Solving Equations
10th Grade - 11th Grade
Mathematics
Develop a solid understanding of piecewise functions by exploring their fundamental concepts, evaluation methods, and equation solving techniques. Gain the capability to analyze these functions effectively to enhance algebraic problem-solving skills.
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Lesson
Converting Quadratic Functions - Standard to Vertex Form - Quadratic Transformations
11th Grade
Mathematics
Transforming quadratic equations from standard form to vertex form involves understanding the axis of symmetry and determining the vertex. Learners will develop the ability to convert and graph quadratic functions mathematically, enhancing their comprehension of these concepts and their applications in real-world mathematical contexts.
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Lesson
Understanding Domain and Range - Graph Analysis - Mathematical Functions
8th Grade - 12th Grade
Mathematics
Explore domain and range as fundamental components of mathematical functions through engaging graph analysis and interactive presentations. Develop a solid understanding of determining domain and range from graphs, enhancing analytical skills in mathematics.
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Lesson
Advanced Algebra Skills - New Question Types - Algebra 1 STAAR
9th Grade - 12th Grade
Mathematics
Explore new question types that test advanced algebra skills aligned with Algebra 1 STAAR standards. Enhance mathematical understanding and problem-solving abilities by developing proficiency in solving complex equations, analyzing functions, and interpreting data.
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Lesson
Graphing Functions - Period and Amplitude - Trigonometry Applications
9th Grade - 12th Grade
Mathematics
Foster an understanding of graphing trigonometric functions by focusing on period and amplitude. Achieve proficiency in interpreting graph properties and predicting function behaviors. Apply these skills to real-world scenarios, such as analyzing motion in amusement park rides.
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Lesson
Function Operations - Composition & Evaluation - Mathematics
10th Grade - 12th Grade
Mathematics
Explore the concept of function operations with a focus on composition and evaluation of functions. Gain proficiency in combining and assessing functions, a critical skill in advanced mathematical problem-solving.
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Lesson
Rational Function Transformations - Key Features and Graphing Techniques
8th Grade - 12th Grade
Mathematics
Focus on rational function transformations with an emphasis on identifying key features and graphing techniques. Enhance understanding of transformations and asymptotes, empowering accurate interpretation and manipulation of rational function graphs.
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Lesson
Trigonometric Functions - Introduction to SohCahToa - Understanding Ratios in Right Triangles
9th Grade - 12th Grade
Mathematics
Explore the fundamental principles of trigonometry, focusing on the application of SohCahToa in identifying triangle side ratios. Understand how to compute sine, cosine, and tangent values, recognizing their practical use across diverse fields.
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Lesson
Graph Transformations - Transformations of Functions - Rational Functions
8th Grade - 12th Grade
Mathematics
Analyze the graphical transformations of rational functions, highlighting how various transformations modify the graph's shape and position. Acquire the ability to recognize the impact of these transformations on the graph, identifying critical features such as asymptotes and intercepts.
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Lesson
Transformations - Identifying and Graphing Parent Functions
9th Grade - 12th Grade
Mathematics
Explore mathematical transformations through the recognition and graphing of various parent functions. Develop the ability to understand the effects of these transformations, enhancing mathematical reasoning and problem-solving skills.
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