Illustrative Math Alignment: Grade 8 Unit 3

Topic

Linear Functions

Description

Models maximum heart rate during aerobic exercise with linear equations, creating exercise charts for various age groups.

Linear functions are fundamental in understanding relationships where one quantity depends linearly on another. This video provides clear examples and context that make the topic relevant and engaging. Linear equations often represent real-world scenarios, from economic trends to scientific measurements, helping students relate the math to everyday life.

Topic

Systems of Equations

Description

Description: Explores profit and loss through linear functions, focusing on break-even points and business profitability using TI-Nspire for visualizations.

Topic

Systems of Equations

Description

Description: Discusses encryption using linear systems, demonstrating substitution ciphers and matrix-based encoding for secure communication.

Topic

Systems of Equations

Description

Description: Analyzes ballistic missile interception through quadratic systems, graphing missile paths and their intersection as solutions to equations.

Topic

Functions and Relations

Description

This section defines relations and functions, emphasizing domain, range, and dependent versus independent variables. Using examples like USB flash drive pricing, it illustrates tabular, graphical, and mapping representations. Key concepts include ordered pairs, Cartesian plane, and scatter plots. The TI-Nspire is utilized to model relationships and introduce functional analysis.

Topic

Functions and Relations

Description

In this Math Lab explore domain-to-range mappings for functions and relations.

Relevance to the Topic: This video is an essential resource for understanding Functions and Relations. By exploring the concepts and examples in this video, students will gain insights into the practical applications and theoretical underpinnings of Functions and Relations. It builds a strong foundation for future learning.

Topic

Functions and Relations

Description

Building on the prior section, this video elaborates on function rules and notation, graphing diverse functions such as linear, quadratic, and step functions. Key terms include domain, range, and vertical line test. Applications highlight real-world uses like analyzing study hours and grades. Technology aids in demonstrating increasing and decreasing functions visually.

Topic

Functions and Relations

Description

In this Math Lab use toothpicks to create unit squares and square arrays. Explore the functional relationship between length of the side of the square and the total number of toothpicks.

Topic

Linear Functions

Description

This video explores linear functions, emphasizing their applications in motion contexts like airplane altitude. Key topics include slope, y-intercept, and function representation using tools like the TI-Nspire. Vocabulary includes linear function, slope-intercept form, and dependent variable. Applications include predicting motion scenarios.

Topic

Linear Functions

Description

In this Math Lab explore the slopes of staircases. Compare the slope of a staircase when walking it in a straight path and compare it to the slope of a staircase walked in a staggered path.

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.

Topic

Linear Functions

Description

This video applies linear functions to environmental data analysis, predicting carbon dioxide levels using regression models. Key terms include regression, scatter plot, and slope. Applications highlight global warming trends and their impact using predictive analytics.

Topic

Linear Functions

Description

In this Math Lab explore water pressure by comparing the height of a column of water and the length of the corresponding jet of water.

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.

Topic

Systems of Equations

Description

This video introduces systems of equations, solving them graphically, numerically, and with TI-Nspire. Key topics include slope-intercept and standard forms, intersections of lines, and linear systems applications. Examples range from rental car cost comparisons to cell phone plans. The video emphasizes efficient problem-solving methods and practical interpretation of solutions.

Topic

Systems of Equations

Description

In this Math Lab explore profit and loss graphs of linear functions.

In this video, students will explore the core principles of Systems of Equations, developing skills to solve real-world problems effectively. The video includes demonstrations and examples to connect mathematics to everyday life.

Topic

Systems of Equations

Description

The focus is on advanced methods for solving systems of equations, including nSolve and matrix row reduction (RREF). Practical examples such as ticket sales for a school play are used. Key vocabulary includes augmented matrix, consistency, and dependent systems. Applications extend to real-world decision-making and deeper algebraic understanding.

Topic

Systems of Equations

Description

In this Math Lab explore non-linear systems.

In this video, students will explore the core principles of Systems of Equations, developing skills to solve real-world problems effectively. The video includes demonstrations and examples to connect mathematics to everyday life.

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to solve a linear system. This video supports the TI-Nspire Clickpad and Touchpad.

In this TI Nspire tutorial, the Graph window is used to create a slider-based graph of a linear function in slope-intercept form. This video supports the TI-Nspire Clickpad and Touchpad.

In this TI Nspire tutorial, the Graph window is used to graph a linear function. This video supports the TI-Nspire Clickpad and Touchpad.

In this TI Nspire tutorial, the Graph window is used to graph a linear inequality in slope-intercept form using sliders. This video supports the TI-Nspire Clickpad and Touchpad.

In this Nspire CX tutorial linear functions are graphed.

This is part of a collection of math worksheets that are crossword puzzles of math vocabulary.

Related Resources

Worksheet Library

This is part of a collection of math worksheets that are crossword puzzles of math vocabulary.

The following section provides background on functions and linear functions.

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

Dependent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of evaluating linear functions.

The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet.

Brief Review of Functions

Before diving into the topic of linear functions, let's review the following topics, which pertain to all functions.:

Definition of a function

Independent variable

This is part of a collection of math worksheets on the topic of inverse linear functions.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of inverse linear functions.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of inverse linear functions.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of inverse linear functions.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of inverse linear functions.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of inverse linear functions.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of inverse linear functions.

Related Resources

Worksheet Library