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.

Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored. In the process students will learn the difference between a quadratic relation and a quadratic function.

This is part of a collection of videos from the Algebra Applications video series on the topic of Functions and Relations.

The liftoff and pre-orbital path of the rock is described by a parabola. Students explore the properties of parabolas from the standpoint of the parametric equations that describe the horizontal and vertical directions of motion for the rocket.

This is part of a collection of videos from the Algebra Applications video series on the topic of Functions and Relations.

The path of a rocket orbiting the Earth can be modeled with the equation of a circle. Students explore the quadratic relation and the parametric equations that can be used to model the path of a spacecraft orbiting Earth.

This is part of a collection of videos from the Algebra Applications video series on the topic of Functions and Relations.

The planets orbiting the sun follow elliptical paths. In fact, the trajectory of a spacecraft traveling to Mars would also be elliptical. Students explore these various ellipses.

This is part of a collection of videos from the Algebra Applications video series on the topic of Functions and Relations.

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.