9th Grade Mathematical Arguments Interactive Videos

Explore the essential role of proofs and logical reasoning in mathematics. Examine foundational concepts, such as the nature of mathematical statements and unsolved conjectures, to enhance understanding of mathematical reasoning. Develop skills in constructing and evaluating proofs.

Understand the essential elements of mathematical proofs, emphasizing logical reasoning and the structure of proofs in geometry. Develop skills to differentiate valid arguments, comprehend proof structures such as two-column proofs, and effectively apply geometric properties to solve problems.

Explore foundational concepts of inductive and deductive reasoning with a focus on understanding patterns, conjectures, and counterexamples. Enhance logical thinking skills and develop the ability to critically evaluate mathematical statements through engaging exercises.

Explore the principles of inductive and deductive reasoning with engaging examples and counterexamples. Develop skills to classify arguments and understand the application of conjectures in real-world scenarios.

Understand the fundamentals of logical reasoning by examining fallacies and their impact on the validity of arguments. This study enhances the ability to identify logical errors, fosters critical thinking skills, and improves the integrity of arguments.

Explore the foundational elements of triangle proofs with a focus on logic and properties governing geometric reasoning. Develop skills in constructing arguments and gain insights into mathematical deduction and proof techniques.

Explore the fundamentals of geometric proofs with a focus on angles and their interrelationships within triangles. Enhance critical thinking abilities through mastering proof techniques, deepening the understanding of core geometric principles.

Explore proof by contradiction through the intriguing concept of infinite prime numbers. Develop the ability to construct logical arguments and understand fundamental mathematical proof techniques. Focus on enhancing analytical skills and reasoning to comprehend and apply this essential proof method effectively.

Explore the foundational concepts of inductive and deductive reasoning within scientific argumentation. Understand the key differences and applications of each method. Learn how these reasoning techniques underpin scientific inquiry and logical deduction, preparing you to critically analyze and construct sound arguments.

Investigate the key distinctions between inductive and deductive reasoning patterns, emphasizing the formulation of logical arguments and conjectures. Learners enhance their ability to identify different types of reasoning, construct conjectures, and comprehend how reasoning underpins conclusions.

Explores the complexities of dividing by zero and clarifies why it is considered undefined in mathematics. Examines related misconceptions and presents various scenarios to provide critical insights into mathematical principles. Encourages the development of a deeper understanding of potential contradictions and their implications.

Explore the intricacies of complex numbers by examining their properties and operations. Gain a deeper understanding of modulus and argument calculations while honing the ability to solve complex problems using trigonometric functions in complex number operations.

Explore the essence of mathematics by examining how various approaches influence perceptions and foundational principles. Learners will enhance critical thinking skills through problem-solving techniques and by understanding the historical evolution of mathematical concepts.

Explore the foundational concepts of persuasion by understanding how ethos, logos, and pathos influence decisions and behaviors. Develop the ability to identify and apply these rhetorical techniques, enhancing communication and critical thinking skills.

Focus on effective strategies for solving conversion problems in both metric and customary systems, emphasizing the creation of tables and utilization of conversion relationships. Develop skills in reasoning both abstractly and quantitatively. Aim to master the practical application of mathematical practices for converting between different measurement systems.

Explore the intricacies of derivatives as they apply to trigonometric functions with a focus on the derivative relationships of sine and cosine through dynamic visual arguments and transformations. Enhance calculus skills by mastering the derivation of trigonometric identities and understanding graph transformations, ultimately deepening comprehension of mathematical limits and transformations.

Explore the essential components for constructing a compelling argument using the Claim, Evidence, and Reasoning framework. Gain the ability to develop structured arguments, support claims with evidence, and articulate reasoning effectively.

Explore the world of complex numbers by using geometric reasoning and inequalities to visualize arguments and relationships. Develop a deeper understanding of domain restrictions and logical operators, and learn how to apply these concepts to solve mathematical problems in real-world contexts.

Develop a comprehensive understanding of mathematical proof techniques by connecting novel concepts with familiar strategies from the game of UNO. Learners will enhance their skills in constructing and analyzing various proof types, fostering critical thinking and logical reasoning abilities.

Explore the core principles of inductive reasoning in geometry, emphasizing the formation and evaluation of conjectures, identification and analysis of patterns, and understanding of the Fibonacci sequence. Develop skills in forming hypotheses from specific cases, assessing these through diverse examples, and gaining a deeper comprehension of mathematical reasoning methodologies.