Display Title

Algebra Nspirations: Linear Functions

VIDEO: Algebra Nspirations: Linear Functions

Topic

Linear Functions

Description

This engaging video dives deep into the concept of linear functions, highlighting their versatility in solving real-world problems. Through clear explanations and interactive visuals, you’ll explore key mathematical concepts like slope, y-intercept, and the representation of linear functions using graphing tools, including the TI-Nspire. Essential vocabulary such as linear function, slope-intercept form, and dependent variable are introduced, making this video ideal for students and educators seeking practical insights into linear equations. Applications of linear functions come to life in a variety of scenarios. You’ll analyze airplane motion, using altitude and time to model real-world situations, and predict future scenarios through linear equations. In a thought-provoking Math Lab, you’ll investigate the slopes of staircases, comparing the slope of walking straight up to the slope of a staggered path, offering a hands-on understanding of slope in everyday contexts. The video transitions to using linear functions for environmental data analysis, applying regression models to predict carbon dioxide levels. You’ll learn to interpret scatter plots, calculate regression lines, and examine slopes to understand global warming trends and their potential impact. These real-world applications demonstrate the power of predictive analytics in tackling environmental challenges. Finally, in a captivating Math Lab, the relationship between water pressure and the height of a water column is explored. By comparing the height of the column to the length of the water jet, you’ll gain an intuitive understanding of how slope relates to physical phenomena. Packed with real-world examples and hands-on investigations, this video provides a comprehensive and engaging look at linear functions, equipping you with tools to model, analyze, and predict with confidence.

In this video, students explore the mathematical concept of linear functions, gaining a deeper understanding of its applications. The video emphasizes how this concept helps in problem-solving and real-world scenarios, bridging the gap between abstract mathematics and practical application.

Teacher's Script: "Before we dive into this video, think about the different ways linear relationships appear in everyday life. This video will guide us through a key example that illustrates the concept vividly. Pay attention to how the visualizations and explanations connect the math to its practical use."

For a complete collection of videos related to Linear Functions click on this link: Algebra Applications: Linear Functions Collection.

Common Core Standards CCSS.MATH.CONTENT.HSF.IF.B.4, CCSS.MATH.CONTENT.8.F.B.4, CCSS.MATH.CONTENT.HSF.IF.B.5, CCSS.MATH.CONTENT.HSF.BF.A.1.B
Duration 22.62 minutes
Grade Range 6 - 12
Curriculum Nodes Algebra
    • Linear Functions and Equations
        • Applications of Linear Functions
Copyright Year 2011
Keywords algebra, linear functions