Use the following Media4Math resources with this Illustrative Math lesson.
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Video Tutorial: Rational Numbers: Video 1 | Video Tutorial: Rational Numbers: Video 1
TopicRational Numbers DescriptionThis video introduces rational numbers, defined as ratios of two integers where the denominator is non-zero. Key concepts include fractions, ratios, and integers as rational numbers. Applications involve classroom ratios and number line representation with positions like 5/4 and -2/4. It emphasizes rational numbers in everyday contexts, such as temperature comparisons using decimals. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 10 | Video Tutorial: Rational Numbers: Video 10
TopicRational Numbers DescriptionThe video explores the interaction of rational numbers with exponents. Examples include expressing square roots as rational exponents and simplifying complex expressions. Applications in geometry and algebra highlight the versatility of these concepts for further mathematical studies. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 11 | Video Tutorial: Rational Numbers: Video 11
TopicRational Numbers DescriptionThis video discusses evaluating numerical expressions with rational numbers, emphasizing the order of operations (PEMDAS). Examples include calculating areas of rectangles and finding the slope of a line using the Cartesian plane. It highlights parentheses' role in operations and real-world applications like geometry and measurements. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 12 | Video Tutorial: Rational Numbers: Video 12
TopicRational Numbers DescriptionThe video explores variable expressions involving rational numbers. Examples include finding combined areas of rectangles using algebraic expressions and analyzing the trajectory of a ball using a formula with time as a variable. It demonstrates real-world applications of rational number operations in algebra and physics. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 13 | Video Tutorial: Rational Numbers: Video 13
TopicRational Numbers DescriptionThis video focuses on graphing rational numbers on the Cartesian coordinate system, calculating slopes, and writing line equations. It explains conditions for positive, negative, zero, and undefined slopes using delta-y and delta-x. Applications include geometry and understanding coordinate relationships. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 2 | Video Tutorial: Rational Numbers: Video 2
TopicRational Numbers DescriptionThe video explores rational and irrational numbers. Rational numbers include integers, fractions, and repeating decimals. Irrational numbers, such as the square root of non-perfect squares and pi, are non-terminating and non-repeating. Examples include Pythagorean triples and circle circumference ratios. Applications focus on distinguishing between the two. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 3 | Video Tutorial: Rational Numbers: Video 3
TopicRational Numbers DescriptionThis video demonstrates how rational numbers are plotted on a number line, showing positive and negative values sequentially. Examples include ecosystem measurements and thermometers interpreted as number lines. It highlights the infinite nature and precise placement of rational numbers in real-world scenarios. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 4 | Video Tutorial: Rational Numbers: Video 4
TopicRational Numbers DescriptionThe video explains absolute value as the distance between two points on a number line. Key examples include altitude changes of kites and submersibles. Techniques involve counting increments or using subtraction. It emphasizes absolute value's role in understanding distances irrespective of direction. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 5 | Video Tutorial: Rational Numbers: Video 5
TopicRational Numbers DescriptionThis video presents methods for comparing and ordering rational numbers using number lines. It emphasizes arranging numbers from least to greatest and graphing positions. Real-world applications include submersible depths and relative point positioning. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 6 | Video Tutorial: Rational Numbers: Video 6
TopicRational Numbers DescriptionThis video introduces techniques for adding rational numbers. Examples include altitude changes and submersible descents. It covers adding mixed numbers, decimals, and opposites, showcasing the relationship between rational numbers and their negative counterparts, with applications in various contexts. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 7 | Video Tutorial: Rational Numbers: Video 7
TopicRational Numbers DescriptionThis video explores subtracting rational numbers, with examples like temperature ranges and vertical distances. Techniques highlight the relationship between subtraction and addition of negatives. Applications include interpreting distances and temperature differences. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 8 | Video Tutorial: Rational Numbers: Video 8
TopicRational Numbers DescriptionThe video covers multiplying rational numbers with examples like drilling depths and financial credits. It explains how repeated addition is modeled as multiplication. The mathematical proof demonstrates that multiplying rational numbers yields another rational number. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 9 | Video Tutorial: Rational Numbers: Video 9
TopicRational Numbers DescriptionThis video explains dividing rational numbers using examples like sharing pizzas and complex fraction simplifications. It emphasizes rewriting terms to align with the rational number definition and addresses why dividing rational numbers results in another rational number. |
Rational Expressions |
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Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 1 | This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial. Note: The download is a PDF template for use in modeling the examples shown in the videos. |
Quadratic Equations and Functions |
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Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 2 | This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial. Note: The download is a PDF template for use in modeling the examples shown in the videos. |
Quadratic Equations and Functions |
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Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 3 | This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial. Note: The download is a PDF template for use in modeling the examples shown in the videos. |
Quadratic Equations and Functions |
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Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 4 | This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial. Note: The download is a PDF template for use in modeling the examples shown in the videos. |
Quadratic Equations and Functions |
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Video Tutorial: Two-Step Equations, Video 1 | Video Tutorial: Two-Step Equations, Video 1
TopicSolving Equations DescriptionThis video introduces solving two-step equations involving multiplication and addition. Key concepts include using inverse operations like division and subtraction to isolate the variable. Vocabulary includes variable, equation, inverse operations, multiplication, and addition. Applications include basic algebra. |
Solving Two-Step Equations |
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Video Tutorial: Two-Step Equations, Video 2 | Video Tutorial: Two-Step Equations, Video 2
TopicSolving Equations DescriptionThe video explains solving two-step equations that involve multiplication and subtraction. It emphasizes the use of inverse operations such as division and addition. Key terms are variable, equation, inverse operations, multiplication, and subtraction. Algebraic applications are highlighted. |
Solving Two-Step Equations |
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Video Tutorial: Two-Step Equations, Video 3 | Video Tutorial: Two-Step Equations, Video 3
TopicSolving Equations DescriptionThe tutorial covers solving two-step equations involving division and addition. It focuses on isolating the variable using inverse operations like multiplication and subtraction. Vocabulary includes variable, equation, inverse operations, division, and addition. Applications are centered on algebraic problem-solving. |
Solving Two-Step Equations |
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Video Tutorial: Two-Step Equations, Video 4 | Video Tutorial: Two-Step Equations, Video 4
TopicSolving Equations DescriptionThis video addresses solving two-step equations involving division and subtraction. It demonstrates applying inverse operations, specifically multiplication and addition, to isolate the variable. Terms such as variable, equation, inverse operations, division, and subtraction are emphasized. Algebraic uses are discussed. |
Solving Two-Step Equations |
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Video Tutorial: What Is an Equation? | Video Tutorial: What Is an Equation?
In this video, students the basics of equations. They'll learn about true equations, false equations, and conditional equations. |
Applications of Equations and Inequalities |
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VIDEO: Algebra Applications: Systems of Equations, 1 | VIDEO: Algebra Applications: Systems of Equations, 1
TopicSystems of Equations DescriptionDescription: Explores profit and loss through linear functions, focusing on break-even points and business profitability using TI-Nspire for visualizations. |
Applications of Linear Systems and Solving Systems of Equations |
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VIDEO: Algebra Applications: Systems of Equations, 2 | VIDEO: Algebra Applications: Systems of Equations, 2
TopicSystems of Equations DescriptionDescription: Discusses encryption using linear systems, demonstrating substitution ciphers and matrix-based encoding for secure communication. |
Applications of Linear Systems and Solving Systems of Equations |
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VIDEO: Algebra Applications: Systems of Equations, 3 | VIDEO: Algebra Applications: Systems of Equations, 3
TopicSystems of Equations DescriptionDescription: Analyzes ballistic missile interception through quadratic systems, graphing missile paths and their intersection as solutions to equations. |
Applications of Linear Systems and Solving Systems of Equations |
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VIDEO: Algebra Applications: Variables and Equations, 1 | VIDEO: Algebra Applications: Variables and Equations, 1
TopicEquations DescriptionThe video introduces algebraic expressions and their ability to represent both known and unknown quantities. It defines variables as placeholders for unknowns and explains equations as relationships between two expressions. Key concepts include solving for variables and understanding the role of variables in equations. Key vocabulary includes variable, unknown quantity, and equation. The applications discussed include investigations into real-world scenarios such as honeybee populations and river geology. |
Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions |
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VIDEO: Algebra Applications: Variables and Equations, 2 | VIDEO: Algebra Applications: Variables and Equations, 2
TopicEquations DescriptionThis segment explores the impact of colony collapse disorder on honey production using statistical data. It introduces box and whisker plots and the calculation of mean as statistical tools to analyze honey yields. Key vocabulary includes colony collapse disorder, box plot, and mean. Applications include modeling bee population declines and their broader ecological and agricultural implications. |
Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions |
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VIDEO: Algebra Applications: Variables and Equations, 3 | VIDEO: Algebra Applications: Variables and Equations, 3
TopicEquations DescriptionThe video investigates the geometry of river meanders using the concept of the meander ratio, calculated as the ratio of a river’s sinuous length to its straight-line length. It uses a TI-Nspire calculator to simulate river paths and compute ratios. Key vocabulary includes meander ratio, sinuous length, and geometric modeling. Applications highlight the mathematical modeling of natural phenomena and the occurrence of pi in nature. |
Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents |
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VIDEO: Algebra Nspirations: Solving Systems of Equations, 1 | VIDEO: Algebra Nspirations: Solving Systems of Equations, 1
TopicSystems of Equations DescriptionThis 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. |
Applications of Linear Systems and Solving Systems of Equations |
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VIDEO: Algebra Nspirations: Solving Systems of Equations, 2 | VIDEO: Algebra Nspirations: Solving Systems of Equations, 2
TopicSystems of Equations DescriptionIn 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. |
Applications of Linear Systems and Solving Systems of Equations |
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VIDEO: Algebra Nspirations: Solving Systems of Equations, 3 | VIDEO: Algebra Nspirations: Solving Systems of Equations, 3
TopicSystems of Equations DescriptionThe 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. |
Applications of Linear Systems and Solving Systems of Equations |
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VIDEO: Algebra Nspirations: Solving Systems of Equations, 4 | VIDEO: Algebra Nspirations: Solving Systems of Equations, 4
TopicSystems of Equations DescriptionIn 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. |
Applications of Linear Systems and Solving Systems of Equations |
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VIDEO: Algebra Nspirations: Variables and Equations, 1 | VIDEO: Algebra Nspirations: Variables and Equations, 1
TopicEquations DescriptionThis video covers the historical evolution of equations, the role of variables, constants, and parameters, and introduces linear and quadratic equations. Key vocabulary includes symbolic algebra, parameter, variable, and constants. Real-world applications are introduced through general problem-solving using linear equations, like solving for unknowns in financial contexts. |
Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions |
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VIDEO: Algebra Nspirations: Variables and Equations, 2 | VIDEO: Algebra Nspirations: Variables and Equations, 2
TopicEquations DescriptionIn this Math Lab explore the linear relationship between the circumference and diameter of a circle. Relevance to the Topic: This video is a valuable resource for understanding the topic of Equations. It connects theoretical concepts with practical applications, offering insights that make learning engaging and relatable. |
Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions |
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VIDEO: Algebra Nspirations: Variables and Equations, 3 | VIDEO: Algebra Nspirations: Variables and Equations, 3
TopicEquations DescriptionExpanding on Part 1, this video demonstrates solving linear equations algebraically and dynamically using TI-Nspire technology. Applications include walk-a-thons and bike-a-thons, illustrating linear relationships in practical contexts. Key vocabulary includes linear equation, function, and symbolic representation. |
Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions |
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VIDEO: Algebra Nspirations: Variables and Equations, 4 | VIDEO: Algebra Nspirations: Variables and Equations, 4
TopicEquations DescriptionIn this Math Lab, use a visual model to find the square of a binomial. Relevance to the Topic: This video is a valuable resource for understanding the topic of Equations. It connects theoretical concepts with practical applications, offering insights that make learning engaging and relatable. |
Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions |
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VIDEO: Brief Review, Video 11 | VIDEO: Brief Review: Multiplying Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions |
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VIDEO: Brief Review, Video 12 | VIDEO: Brief Review: Dividing Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions |
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VIDEO: Brief Review, Video 13 | VIDEO: Brief Review: Applications of Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 28 | VIDEO: TI-Nspire Mini-Tutorial: (CAS) Multiplying Rational Expressions
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. |
Rational Expressions |
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Worksheet: Checking Equations, Worksheet 1 | Worksheet: Checking Equations, Worksheet 1
This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Addition Facts to 25 |
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Worksheet: Checking Equations, Worksheet 2 | Worksheet: Checking Equations, Worksheet 2
This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Addition Facts to 25 |
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Worksheet: Checking Equations, Worksheet 3 | Worksheet: Checking Equations, Worksheet 3
This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Addition Facts to 25 |
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Worksheet: Checking Equations, Worksheet 4 | Worksheet: Checking Equations, Worksheet 4
This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Addition Facts to 25 |
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Worksheet: Checking Equations, Worksheet 5 | Worksheet: Checking Equations, Worksheet 5
This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Addition Facts to 25 |
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Worksheet: Desmos Activity: Linear Equations in Point-Slope Form | Worksheet: Desmos Activity: Linear Equations in Point-Slope Form
This is part of a collection of math worksheets that are companions to interactive Desmos activities. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Point-Slope Form |
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Worksheet: Desmos Activity: Linear Equations in Standard Form | Worksheet: Desmos Activity: Linear Equations in Standard Form
This is part of a collection of math worksheets that are companions to interactive Desmos activities. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Standard Form |
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Worksheet: Modeling Equations | Worksheet: Modeling Equations
Given a visual model, students write the corresponding addition equation. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Addition Expressions and Equations |
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Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 1 | Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 1
This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Solving One-Step Equations |
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Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 10 | Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 10
This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Solving One-Step Equations |