Illustrative Math Alignment: Grade 6 Unit 1

This is the transcript for the video of same title. Video contents: In this Investigation we look at functions.

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Learn the basics of decreasing functions. Graphical and algebraic representations of decreasing functions are shown, as well as examples of such functions.

This video looks at the identity function. Students review the identity properties of addition and multiplication as a means of better understanding the identity function.

Learn the basics of increasing functions. Graphical and algebraic representations of increasing functions are shown, as well as examples of such functions.

This video looks at multiple representations of functions, including symbolic, tabular, and graphic. Examples of linear, quadratic, polynomial, and exponential functions are shown.

Topic

Functions and Relations

Topic

Functions and Relations

Topic

Functions and Relations

Description

This segment focuses on the circular orbit of the Orion capsule around Earth as it docks with the International Space Station. Key concepts include the circle as a conic section and its equation. Parametric equations with sine and cosine functions are introduced to model periodic motion. Applications involve understanding how the capsule maintains a stable orbit, completes periodic motion every 90 minutes, and prepares for the Mars journey.

Topic

Functions and Relations

Description

This segment describes the elliptical paths of Earth and Mars around the sun and how the Orion capsule follows a transfer ellipse to reach Mars. Key concepts include ellipses as conic sections, their equations, eccentricity, and quadratic relations. Applications involve modeling planetary orbits and calculating orbital equations using data like eccentricity and semi-major axis values. The segment also explores graphing ellipses with tools like the TI-Nspire.

In this Investigation we explore the definition of a Relation. This video is Segment 1 of a 4 segment series related to Functions and Relations.

In this Math Lab we look at different mappings to define functions and relations. This video is Segment 2 of a 4 segment series related to Functions and Relations.

In this Investigation we look at functions. This video is Segment 3 of a 4 segment series related to Functions and Relations.

In this Math Lab a hands-on toothpick activity is used to generate a non-linear function. This video is Segment 4 of a 4 segment series related to Functions and Relations.