Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topics |
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Math Clip Art--Angle Illustrations--Straight Angle--Unlabeled | Math Clip Art--Angle Illustrations--Straight Angle--Unlabeled
This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version. |
Angles and Applications of Angles and Planes | |
Math Clip Art--Angle Illustrations--Supplementary Angles--Labeled | Math Clip Art--Angle Illustrations--Supplementary Angles--Labeled
This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version. |
Angles and Applications of Angles and Planes | |
Math Clip Art--Angle Illustrations--Supplementary Angles--Unlabeled | Math Clip Art--Angle Illustrations--Supplementary Angles--Unlabeled
This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version. |
Angles and Applications of Angles and Planes | |
Definition--Rationals and Radicals--Cube Root | Cube RootTopicRationals and Radicals DefinitionThe cube root of a number is a value that, when multiplied by itself three times, gives the original number. DescriptionThe cube root is a fundamental concept in Radical Numbers, Expressions, Equations, and Functions. It is the inverse operation of raising a number to the power of three. Understanding cube roots is crucial for solving equations involving cubic terms and for simplifying radical expressions. Cube roots also appear in various real-world applications, such as calculating volumes and in certain physics equations. They are an integral part of higher-level mathematics, including algebra and calculus. |
Radical Expressions | |
Definition--Rationals and Radicals--Extraneous Solution | Extraneous SolutionTopicRationals and Radicals DefinitionAn extraneous solution is a solution derived from an equation that is not a valid solution to the original equation. DescriptionExtraneous solutions often arise in the context of Rational and Radical Equations. They are solutions that appear during the process of solving an equation but do not satisfy the original equation. This can happen when both sides of an equation are squared or when other operations introduce additional solutions. |
Rational Functions and Equations | |
Definition--Rationals and Radicals--Graphs of Rational Functions | Graphs of Rational FunctionsTopicRationals and Radicals DefinitionGraphs of rational functions are visual representations of equations involving rational expressions. DescriptionGraphs of rational functions are fundamental in the study of Rational Numbers, Expressions, Equations, and Functions. They help in understanding the behavior of these functions, including their asymptotes, intercepts, and regions of increase and decrease. |
Rational Functions and Equations | |
Definition--Rationals and Radicals--Inverse Variation | Inverse VariationTopicRationals and Radicals DefinitionInverse variation describes a relationship between two variables in which the product is a constant. When one variable increases, the other decreases proportionally. |
Rational Functions and Equations | |
Definition--Rationals and Radicals--Irrational Number 2 | Irrational Number 2TopicRationals and Radicals DefinitionAn irrational number is a number that cannot be expressed as a ratio of two integers. Its decimal form is non-repeating and non-terminating. |
Rational Expressions | |
Definition--Rationals and Radicals--nth Root | nth RootTopicRationals and Radicals DefinitionThe nth root of a number is a value that, when raised to the power of n, gives the original number. It is denoted as $$\sqrt[n]{a}$$ DescriptionThe nth Root is a fundamental concept in the study of Radical Numbers, Expressions, Equations, and Functions. It generalizes the idea of square roots and cube roots to any positive integer n. For example, the cube root of 8 is 2 because $$2^3 = 8$$ |
Radical Expressions | |
Definition--Order of Operations | Definition--Order of Operations
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. Subtraction isn't commutative. |
Numerical Expressions and Variable Expressions | |
Definition--Ratios, Proportions, and Percents Concepts--Percent | PercentTopicRatios, Proportions, and Percents DefinitionA percent is a ratio that compares a number to 100. DescriptionPercentages are a fundamental concept in mathematics, representing a ratio out of 100. They are used in various applications, including finance, statistics, and everyday calculations such as discounts and interest rates. For example, if you score 45 out of 50 on a test, your percentage score is (45/50) × 100 = 90% |
Percents | |
Definition--Ratios, Proportions, and Percents Concepts--Proportional | ProportionalTopicRatios, Proportions, and Percents DefinitionProportional refers to the relationship between two quantities where their ratio is constant. DescriptionProportional relationships are fundamental in mathematics and science, describing how one quantity changes in relation to another. This concept is used in various fields, including physics, economics, and engineering. For example, if the speed of a car is proportional to the time it travels, doubling the time will double the distance covered. Understanding proportionality helps students solve complex problems and apply mathematical reasoning in real-world situations. |
Proportions | |
Definition--Rationals and Radicals--Radical Expression | Radical ExpressionTopicRationals and Radicals DefinitionA radical expression is an expression that contains a radical symbol, which indicates the root of a number. DescriptionRadical Expressions are a core component of Radical Numbers, Expressions, Equations, and Functions. These expressions involve roots, such as square roots, cube roots, or higher-order roots, and are denoted by the radical symbol (√). For example, the expression $$\sqrt{16}$$ |
Radical Expressions | |
Definition--Rationals and Radicals--Radical Function | Radical FunctionTopicRationals and Radicals DefinitionA radical function is a function that contains a radical expression with the independent variable in the radicand. DescriptionRadical Functions are a vital part of Radical Numbers, Expressions, Equations, and Functions. These functions involve radicals, such as square roots or cube roots, with the independent variable inside the radical. For example, the function $$f(x) = \sqrt{x}$$ |
Radical Expressions | |
Definition--Rationals and Radicals--Radical Symbol | Radical SymbolTopicRationals and Radicals DefinitionThe radical symbol (√) is used to denote the root of a number, such as a square root or cube root. DescriptionThe Radical Symbol is a fundamental notation in the study of Radical Numbers, Expressions, Equations, and Functions. This symbol (√) indicates the root of a number, with the most common being the square root. For example, the expression $$\sqrt{25}$$ |
Radical Expressions | |
Definition--Rationals and Radicals--Radicand | RadicandTopicRationals and Radicals DefinitionThe radicand is the number or expression inside the radical symbol that is being rooted. DescriptionThe Radicand is a key component in the study of Radical Numbers, Expressions, Equations, and Functions. It is the number or expression inside the radical symbol that is being rooted. For example, in the expression $$\sqrt{49}$$ |
Radical Expressions | |
Definition--Ratios, Proportions, and Percents Concepts--Rate | RateTopicRatios, Proportions, and Percents DefinitionA rate is a ratio that compares two quantities with different units. DescriptionRates are used to compare different quantities, such as speed (miles per hour) or price (cost per item). Understanding rates is essential for interpreting data and making informed decisions in various contexts, such as travel and budgeting. For instance, if a car travels 60 miles in 2 hours, the rate is 30 miles per hour. Learning about rates helps students analyze real-world situations and apply mathematical reasoning to everyday problems. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Ratio | RatioTopicRatios, Proportions, and Percents DefinitionA ratio is a comparison of two quantities by division. DescriptionRatios are used to express the relationship between two quantities, providing a way to compare different amounts. They are fundamental in various fields, including mathematics, science, and finance. For example, the ratio of 4 to 5 can be written as 4:5 or 4/5. Understanding ratios helps students analyze data, solve problems, and make informed decisions in real-world situations. |
Ratios and Rates | |
Definition--Rationals and Radicals--Rational Expressions | Rational ExpressionsTopicRationals and Radicals DefinitionRational expressions are fractions in which the numerator and/or the denominator are polynomials. DescriptionRational Expressions are a fundamental aspect of Rational Numbers, Expressions, Equations, and Functions. These expressions are fractions where the numerator and/or the denominator are polynomials. Simplifying rational expressions often involves factoring the polynomials and canceling common factors. For example, the rational expression $$\frac{x^2 - 1}{x - 1}$$ can be simplified to x + 1, provided that $$x \neq 1$$ |
Rational Expressions | |
Definition--Rationals and Radicals--Rational Functions | Rational FunctionsTopicRationals and Radicals DefinitionRational functions are functions that are the ratio of two polynomials. DescriptionRational Functions are a key concept in the study of Rational Numbers, Expressions, Equations, and Functions. These functions are the ratio of two polynomials, such as $$f(x) = \frac{P(x)}{Q(x)}$$ where P(x) and Q(x) are polynomials. Understanding rational functions involves analyzing their behavior, including identifying asymptotes, intercepts, and discontinuities. For example, the function $$f(x) = \frac{1}{x}$$ |
Rational Functions and Equations | |
Definition--Rationals and Radicals--Rational Numbers | Rational NumbersTopicRationals and Radicals DefinitionRational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not zero. |
Rational Functions and Equations | |
Definition--Ratios, Proportions, and Percents Concepts--Scale Drawing | Scale DrawingTopicRatios, Proportions, and Percents DefinitionA scale drawing is a representation of an object or structure with dimensions proportional to the actual object or structure. DescriptionScale drawings are essential in fields like architecture, engineering, and cartography, where accurate representations of large objects or areas are needed. For example, an architect might create a scale drawing of a building where 1 inch on the drawing represents 10 feet in reality. This allows for detailed planning and visualization without needing a full-sized model. |
Proportions | |
Definition--Ratios, Proportions, and Percents Concepts--Solving Proportions | Solving ProportionsTopicRatios, Proportions, and Percents DefinitionSolving proportions involves finding the value of a variable that makes two ratios equal. DescriptionSolving proportions is a key skill in algebra and is used in various applications, such as scaling recipes, converting units, and solving real-world problems. For example, if you know that 2/3 = x/6 you can solve for x by cross-multiplying to get 2 * 6 = 3 * x leading to x = 4 |
Proportions | |
Definition--Rationals and Radicals--Square Root | Square RootTopicRationals and Radicals DefinitionThe square root of a number is a value that, when multiplied by itself, gives the number. It is denoted by the radical symbol √. |
Radical Expressions | |
INSTRUCTIONAL RESOURCE: Tutorial: Adding and Subtracting Rational Numbers | INSTRUCTIONAL RESOURCE: Tutorial: Adding and Subtracting Rational Numbers
In this Slide Show, learn how to add and subtract rational numbers. Includes links to several Media4Math videos and a math game. This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Rational Expressions and Rational Functions and Equations | |
Instructional Resource: Applications of Linear Functions: Speed and acceleration | In this Slide Show, apply concepts of linear functions to the context of speed and acceleration. Note: The download is a PPT file. Related ResourcesTo see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN |
Applications of Linear Functions | |
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Rational Functions | INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Rational Functions
In this Slide Show, use the Desmos graphing calculator to explore rational functions. To see the complete collection of Desmos Resources click on this link. Note: The download is a PPT file. This is part of a collection of Desmos tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Rational Functions and Equations | |
Math in the News: Issue 50--March Madness Made Rational | Math in the News: Issue 50--March Madness Made Rational
March 2012. In this issue we look at March Madness mathematically. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Data Analysis | |
Math in the News: Issue 59--The Butterfly Migration | Math in the News: Issue 59--The Butterfly Migration
September 2012. In this issue of Math in the News we look at the great Monarch butterfly migration. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Data Analysis | |
Math in the News: Issue 61--The Butterfly Migration Update | Math in the News: Issue 61--The Butterfly Migration Update
September 2012. In this issue of Math in the News we look at the Monarch Butterfly Migration with new data since our last investigation of it. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Data Analysis | |
VIDEO: Algebra Applications: Rational Functions | VIDEO: Algebra Applications: Rational Functions
TopicRational Functions |
Rational Expressions and Rational Functions and Equations | |
VIDEO: Algebra Applications: Rational Functions, 1 | VIDEO: Algebra Applications: Rational Functions, 1
TopicRational Functions DescriptionExplains submarine pressure and volume relationships using rational functions, illustrating depth impacts on vessel integrity and scuba safety. Relevance: This video provides a practical perspective on Rational Functions, making abstract concepts more accessible through real-world applications. |
Rational Expressions and Rational Functions and Equations | |
VIDEO: Algebra Applications: Rational Functions, 2 | VIDEO: Algebra Applications: Rational Functions, 2
TopicRational Functions DescriptionExamines surface area to volume ratios in animals using rational functions, connecting these ratios to evolutionary adaptations in different climates. Relevance: This video provides a practical perspective on Rational Functions, making abstract concepts more accessible through real-world applications. |
Rational Expressions and Rational Functions and Equations | |
VIDEO: Algebra Applications: Rational Functions, 3 | VIDEO: Algebra Applications: Rational Functions, 3
TopicRational Functions DescriptionDemonstrates the optics of the Hubble telescope through rational functions, analyzing lens properties and asymptotes for image clarity. Relevance: This video provides a practical perspective on Rational Functions, making abstract concepts more accessible through real-world applications. |
Rational Expressions and Rational Functions and Equations | |
VIDEO: Algebra Nspirations: Data Analysis and Probability | VIDEO: Algebra Nspirations: Data Analysis and Probability
TopicData Analysis |
Data Analysis and Data Gathering | |
VIDEO: Algebra Nspirations: Data Analysis and Probability, 1 | VIDEO: Algebra Nspirations: Data Analysis and Probability, 1
TopicData Analysis DescriptionThis video introduces probability and statistics, differentiating between the two fields through historical context and practical applications. Concepts like the law of large numbers and randomness are explored using tools like the TI-Nspire. Key vocabulary includes probability, randomness, statistics, and law of large numbers. Applications include analyzing probabilities in real-world scenarios such as lightning strikes and coin flips. |
Data Analysis and Data Gathering | |
VIDEO: Algebra Nspirations: Data Analysis and Probability, 2 | VIDEO: Algebra Nspirations: Data Analysis and Probability, 2
TopicData Analysis DescriptionIn this Math Lab video, students explore the probability distribution from tossing two coins. This video provides an in-depth look at Data Analysis by exploring real-world applications. It delves into in this math lab video, students explore the probability distribution from tossing two coins. The relevance of this video to the topic lies in its ability to connect theoretical concepts to practical scenarios. Students will gain insights into how these mathematical ideas are applied in data analysis. |
Data Analysis and Data Gathering | |
VIDEO: Algebra Nspirations: Data Analysis and Probability, 3 | VIDEO: Algebra Nspirations: Data Analysis and Probability, 3
TopicData Analysis DescriptionBuilding on Part 1, this video focuses on statistical representation and interpretation. Concepts include univariate and bivariate data, regression, and data visualization techniques like bar graphs and scatter plots. Applications include analyzing dog breeds and wolf population trends using data models. Key terms include univariate, bivariate, regression, and scatter plot. |
Data Analysis and Data Gathering | |
VIDEO: Algebra Nspirations: Data Analysis and Probability, 4 | VIDEO: Algebra Nspirations: Data Analysis and Probability, 4
TopicData Analysis DescriptionIn this Math Lab video, students explore population data. This video provides an in-depth look at Data Analysis by exploring real-world applications. It delves into in this math lab video, students explore population data. The relevance of this video to the topic lies in its ability to connect theoretical concepts to practical scenarios. Students will gain insights into how these mathematical ideas are applied in data analysis. |
Data Analysis and Data Gathering | |
VIDEO: Algebra Nspirations: Variables and Equations | VIDEO: Algebra Nspirations: Variables and Equations
TopicEquations |
Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions | |
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 | |
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 | |
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 | |
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 | |
VIDEO: Algebra Nspirations: Exponents | VIDEO: Algebra Nspirations: Exponents
TopicExponential Functions |
Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations and Graphs of Exponential and Logarithmic Functions | |
VIDEO: Algebra Nspirations: Exponents, 1 | VIDEO: Algebra Nspirations: Exponents, 1
TopicExponential Functions |
Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations and Graphs of Exponential and Logarithmic Functions | |
VIDEO: Algebra Nspirations: Exponents, 2 | VIDEO: Algebra Nspirations: Exponents, 2
TopicExponential Functions DescriptionIn this Math Lab explore a quadratic graph and an exponential graph and analyze their respective equations. This video is relevant to the topic of Exponential Functions as it provides a detailed exploration of key concepts and their applications. By presenting clear and practical examples, it helps students understand and apply mathematical principles effectively. |
Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations and Graphs of Exponential and Logarithmic Functions | |
VIDEO: Algebra Nspirations: Exponents, 3 | VIDEO: Algebra Nspirations: Exponents, 3
TopicExponential Functions |
Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations and Graphs of Exponential and Logarithmic Functions | |
VIDEO: Algebra Nspirations: Exponents, 4 | VIDEO: Algebra Nspirations: Exponents, 4
TopicExponential Functions DescriptionIn this Math Lab explore cooling curves expressed as exponential functions. This video is relevant to the topic of Exponential Functions as it provides a detailed exploration of key concepts and their applications. By presenting clear and practical examples, it helps students understand and apply mathematical principles effectively. |
Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations and Graphs of Exponential and Logarithmic Functions | |
VIDEO: Algebra Nspirations: Functions and Relations | VIDEO: Algebra Nspirations: Functions and Relations
TopicFunctions and Relations |
Applications of Functions and Relations, Quadratic Equations and Functions and Relations and Functions |