Illustrative Math Alignment: Grade 8 Unit 3

Topic

Expressions and Equations

Description

This video explains solving one-step equations like x + 2 = 4 and x ÷ 2 = 4 with algebra tiles. It covers addition, subtraction, multiplication, and division operations. Key vocabulary includes one-step equations, zero pairs, and operations.

Topic

Expressions and Equations

Description

This video covers multi-step equations, such as 3x + 2 = x + 4, using algebra tiles. It demonstrates how to isolate variables through a multi-stage process involving addition and subtraction. Key vocabulary includes multi-step equations, isolation, and operations.

Topic

Expressions and Equations

Description

This video explains modeling positive integers using algebra tiles, focusing on the yellow tiles representing positive integers. Examples demonstrate different tile arrangements modeling integers like 6 and 8, emphasizing that arrangement does not affect the value represented. Key vocabulary includes positive integers, tiles, and arrangements.

Topic

Expressions and Equations

Description

This video covers the use of red tiles to model negative integers. It demonstrates counting tiles to represent integers like -10 and -8 and shows that arrangement does not alter the integer modeled. Key vocabulary includes negative integers, tiles, and arrangement.

Topic

Expressions and Equations

Description

This video introduces the concept of zero pairs, where opposite tiles, like +1 and -1, cancel each other out. It explains how to simplify tile groups using zero pairs and provides examples with both integers and variables. Key vocabulary includes zero pairs, integers, and simplification.

Topic

Expressions and Equations

Description

The video demonstrates using green tiles to model variables and their squares. Examples include expressions like 2x and 3x2. Negative variables and squares are also modeled using red tiles. Key vocabulary includes variables, x2, positive tiles, and negative tiles.

Topic

Expressions and Equations

Description

This video explains how to model expressions like 2x + 3 or -3x + 5 using algebra tiles. Examples include both positive and negative tiles for variables and integers, as well as more complex expressions with x-squared. Key vocabulary includes variable expressions, integers, x-squared, and tiles.

Topic

Expressions and Equations

Description

The video demonstrates modeling equations with algebra tiles, using a vertical bar to represent the equals sign. Examples include linear equations like x + 2 = -2 and quadratic equations like x-squared + x + 2 = 2. Key vocabulary includes equations, quadratic, integers, and variables.

Topic

Expressions and Equations

Description

This video focuses on modeling one-step equations using algebra tiles. Examples include equations involving addition, subtraction, multiplication, and division, such as x + 2 = 4 or x ÷ 9 = 10. Key vocabulary includes one-step equations, operations, integers, and variables.

In this video, learn about the properties of equality that are the core of the equation-solving process. They'll learn about true properties for each of the four operations. Only subscribers to Media4Math Library can download these resources.

In this video, students expand their knowledge of properties of equations with a focus on identities. Students will see how to use identities to solve equations, in particular certain quadratic equations.

In this video, students the basics of equations. They'll learn about true equations, false equations, and conditional equations.

Topic

Topic: Inequalities

Topic

Topic: Inequalities

Description

This video models an inequality to explain how floodgates in Venice prevent flooding during storms. The key concept is the activation threshold, where the water level exceeds a critical value. Vocabulary includes inequality, threshold, variable, and model. Using a TI-Nspire, the video demonstrates creating a random variable for water levels and a function to evaluate if floodgates should activate. It illustrates real-world applications in engineering and environmental management.

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

Inequalities

Description

This video introduces inequalities, contrasting them with equations, and discusses their properties and solution methods. Key concepts include graphing solutions, interval notation, and inequality symbols. Applications are contextualized through scenarios like semester grades and fitness ranges. Key terms include inequality, interval notation, and solution set.

Topic

Inequalities

Description

In this Math Lab explore compound inequalities on a number line.

This video highlights key concepts in inequalities, offering practical examples that make abstract math principles more accessible. Through a comprehensive approach, students can connect theoretical knowledge to real-world applications.

Relevance: This video directly supports the topic by illustrating inequalities in a clear and engaging way, making it easier for students to understand complex ideas.

Topic

Inequalities

Description

Building on Part 1, this video explores systems of inequalities and their geometric representations. Applications include business profit modeling using linear inequalities. Key vocabulary includes half-planes, slope-intercept form, and solution regions. Real-world examples, like yoga studio budgeting, highlight practical uses of inequalities.

Topic

Inequalities

Description

In this Math Lab explore graphical solutions to linear inequalities.

This video highlights key concepts in inequalities, offering practical examples that make abstract math principles more accessible. Through a comprehensive approach, students can connect theoretical knowledge to real-world applications.

Relevance: This video directly supports the topic by illustrating inequalities in a clear and engaging way, making it easier for students to understand complex ideas.

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 to find the slope of two points connected by a line. This video supports the TI-Nspire Clickpad and Touchpad.

In this TI Nspire tutorial, the Graph window is used to graph a linear inequality. 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 TI Nspire tutorial for the TI-Nspire CAS, the Graph Window is used to graph quadratic inequalities. This video supports the TI-Nspire Clickpad and Touchpad.

This is part of a collection of math worksheets on the topic of solving linear systems.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving linear systems.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving linear systems.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving linear systems.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving two-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving two-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

Related Resources

Worksheet Library