Illustrative Math Alignment: Grade 6 Unit 9

In this video tutorial lines, rays, and segments are defined. Students are shown how to construct and label lines, rays, and segments using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry. . . Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link.

In this video tutorial planes planes and coplanar points and lines are defined. Students are shown how to construct coplanar, collinear, and non-collinear points using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry. . . Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link.

In this video tutorial intersecting lines and planes are defined. Students are shown how to construct intersecting lines using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry. . . Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link.

In this video tutorial angles are defined. Students are shown how to construct and measure using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry. . . Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link.

In this video tutorial parallel and perpendicular lines are defined. Students are shown how to construct parallel and perpendicular lines using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry. . . Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link.

In this video tutorial different types of angles are defined, including acute, right, supplementary, and straight angles. Students are shown how to construct these types of angles using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry. . . Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link.

In this video tutorial different types of angles are defined, including adjacent angles, complementary angles, supplementary angles, and vertical angles. Students are shown how to construct these types of angles using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry. . . Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link.

Related Resources

Desmos Collection

This is the transcript for the video entitled, Desmos Geometry Exploration: Lines, Rays, Segments. In this video tutorial lines, rays, and segments are defined. Students are shown how to construct and label lines, rays, and segments using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry.

This is the transcript for the video entitled, Desmos Geometry Exploration: Planes. In this video tutorial planes planes and coplanar points and lines are defined. Students are shown how to construct coplanar, collinear, and non-collinear points using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry.

This is the transcript for the video entitled, Desmos Geometry Exploration: Intersecting Lines and Planes. In this video tutorial intersecting lines and planes are defined. Students are shown how to construct intersecting lines using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry.

This is the transcript for the video entitled, Desmos Geometry Exploration: Angles. In this video tutorial angles are defined. Students are shown how to construct and measure using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the video entitled, Desmos Geometry Exploration: Parallel and Perpendicular Lines. In this video tutorial parallel and perpendicular lines are defined. Students are shown how to construct parallel and perpendicular lines using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry.

This is the transcript for the video entitled, Desmos Geometry Exploration: Types of Angles I. In this video tutorial different types of angles are defined, including acute, right, supplementary, and straight angles. Students are shown how to construct these types of angles using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry.

This is the transcript for the video entitled, Desmos Geometry Exploration: Types of Angles II. In this video tutorial different types of angles are defined, including adjacent angles, complementary angles, supplementary angles, and vertical angles. Students are shown how to construct these types of angles using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry.

Topic

Geometry

Description

This video introduces points as locations in space with no size or dimension. Viewers use Desmos to create, label, and manipulate points. Collinear points are discussed as lying on the same line. Key terms include collinear and location. Applications emphasize the importance of points in defining shapes and structures.

Topic

Geometry

Description

This tutorial focuses on defining and constructing lines, rays, and segments. A line extends infinitely, a ray extends in one direction, and a segment has finite length. Using Desmos tools, viewers create and manipulate these elements while understanding their properties. Key terms include endpoints, infinite points, and rotation. Applications emphasize foundational geometry constructions.

Topic

Geometry

Description

The video defines planes as two-dimensional surfaces extending infinitely, constructed using three non-collinear points. Points and lines within a plane are coplanar. Desmos tools demonstrate creating and manipulating planes and coplanar points. Key terms include non-collinear, coplanar, and dimensionality. Applications illustrate spatial reasoning in two-dimensional geometry.

Topic

Geometry

Description

The video explores intersecting lines and planes, explaining coplanar points and lines, and defining intersection points and lines. Using Desmos, viewers create and manipulate intersecting lines and identify their intersection points. Key terms include coplanar, intersection, and dimensionality. Applications highlight visualizing geometric relationships.

Topic

Geometry

Description

This video explains angles and their properties using Desmos geometry tools. It defines angles as formed by two rays meeting at a vertex and measured in degrees or radians. Viewers learn to construct and measure angles, including 0°, 180°, and 360°. Key terms include vertex, rays, and sweep. Applications involve dynamic angle measurement using Desmos tools.

Topic

Geometry

Description

This lesson explains parallel and perpendicular lines, highlighting their geometric properties. Parallel lines never intersect and are equidistant, while perpendicular lines form 90° angles. Using Desmos, viewers construct, measure, and validate these line types. Key terms include equidistant, perpendicular, and right angles. Applications involve verifying geometric relationships.

Topic

Geometry

Description

This lesson defines angle types: acute, right, obtuse, and straight, using Desmos tools to measure and create examples. Key terms include angle measure, rays, and straight angle. Applications involve understanding angle properties and classifications for dynamic constructions.

Topic

Geometry

Description

Adjacent angles, complementary angles, and vertical angles are explored. Desmos tools help construct and measure these angles, illustrating concepts like angle addition and congruence. Key terms include supplementary, vertical, and adjacent angles. Applications include analyzing intersecting lines and their angle relationships.

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to combine and simplify rational expressions. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to multiply rational expressions. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to combine and simplify rational expressions. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to a rational function. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

In this TI Nspire tutorial, the Graph window is used to create a slider-based graph of a rational function. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Adding and Subtracting Rational Expressions.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Multiplying Rational Expressions.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Simplifying Rational Expressions.

To see the complete collection of video transcriptsy, click on this link.

What Are Composite Functions?

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Exploring Rational Function Graphs with Sliders.

To see the complete collection of video transcriptsy, click on this link.

In this Investigation we use matrices and the elimination method to solve a linear system. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations. Segments 3 and 4 are grouped together.

In this Investigation we solve a linear system. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations. Segments 1 and 2 are grouped together.

Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video introduces students to systems of linear equations in two or three unknowns. To solve these systems, the host illustrates a variety of methods: four involve the TI-Nspire (spreadsheet, graphs and geometry, matrices and nSolve) and two are the classic algebraic methods known as substitution and elimination, also called the linear combinations method. The video ends with a summary of the three possible types of solutions. Concepts explored: equations, linear equations, linear systems.

In this Investigation we look at graphs of rational functions. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. Segments 3 and 4 are grouped together.

In this Investigation we look at an application of rational functions: Boyle's Law. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. Segments 1 and 2 are grouped together.

After briefly reviewing the concept of inverse variation, this video explores Boyle’s law, a real world example of an inversely proportional relationship between pressure and volume of a gas. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it goes on to examine similarities and differences among rational functions and numbers. Finally, it takes a look at rational functions graphs and ends with a delightful example merging Euclidean and analytic geometry, thanks to the TI-Nspire technology. Concepts explored: functions, rational expressions, rational functions, asymptotes

In this Investigation we use a quadratic model to explore the path of a rocket into space. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Inequalities. Segments 3 and 4 are grouped together.

In this Investigation we explore quadratic functions and their graphs. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Quadratic Functions. Segments 1 and 2 are grouped together.

In this program, the TI-Nspire is used to explore the nature of quadratic functions. Examples ranging from space travel and projectile motion provide real-world examples for discovering algebraic concepts. All examples are solved graphically. The teacher’s guide provides all keystrokes shown in the video, as well as providing support for TI-84 users. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Quadratic functions and equations, standard form, graphing quadratic equations, solving quadratic equations graphically.

In this Investigation we look at logarithmic functions and graphs. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Logarithms and Logarithmic Functions. Segments 3 and 4 are grouped together.

In this Investigation we look at properties of logarithms. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Logarithms and Logarithmic Functions. Segments 1 and 2 are grouped together.

This video begins with the historical invention of logarithms that forever changed the world of computation—until the advent of calculators more than 300 years later. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it proceeds to derive the properties of logs, examine logarithmic functions and graphs, and finally explore the well-known Richter logarithmic scale. Concepts explored: functions and inverse functions, logarithms, exponential functions, logarithmic functions.

In this Investigation we look at a linear regression for carbon dioxide emission data. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Linear Functions. Segments 3 and 4 are grouped together.

In this Investigation we look at linear models for objects moving at a constant speed. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Linear Functions. Segments 1 and 2 are grouped together.

In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. All examples are solved algebraically and then reinforced through the use of the TI-Nspire. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Standard form, slope-intercept form, point-slope form, solving linear equations.

In this Investigation we look at linear inequalities in two variables. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Inequalities. Segments 3 and 4 are grouped together.

In this Investigation we explore linear inequalities in one variable. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Inequalities. Segments 1 and 2 are grouped together.