Use the following Media4Math resources with this Illustrative Math lesson.
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Closed Captioned Video: Algebra Tiles: Modeling Variable Expressions Using Algebra Tiles | Closed Captioned Video: Algebra Tiles: Modeling Variable Expressions Using Algebra Tiles
DescriptionVideo Tutorial: Algebra Tiles: Modeling Variable Expressions Using Algebra Tiles. In this tutorial, students review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to model variable expressions using algebra tiles. This is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction. |
Algebra Tiles--Expressions and Equations | |
Closed Captioned Video: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles | Closed Captioned Video: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles
DescriptionThis is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction. —CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.The following section reviews the basics of algebra tiles. Use this material as background material, and also as a supplement to the video series. |
Algebra Tiles--Expressions and Equations | |
Closed Captioned Video: Integers: Numerical Expressions with Integers | Closed Captioned Video: Integers: Numerical Expressions with Integers
Video Tutorial: Integers: Numerical Expressions with Integers. In this video, students simplify various numerical expressions that use integers. This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. |
Numerical Expressions | |
Closed Captioned Video: Integers: Variable Expressions with Integers | Closed Captioned Video: Integers: Variable Expressions with Integers
Video Tutorial: Integers: Variable Expressions with Integers. In this video, students simplify various variable expressions that use integers. A This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. |
Numerical Expressions | |
Closed Captioned Video: Multiplying Rational Expressions | Closed Captioned Video: 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. This Mini-Tutorial Video includes a worksheet. . |
Rational Expressions | |
Closed Captioned Video: Rational Numbers: Numerical Expressions with Rational Numbers | Closed Captioned Video: Rational Numbers: Numerical Expressions with Rational Numbers
This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward. |
Rational Expressions | |
Closed Captioned Video: Rational Numbers: Variable Expressions with Rational Numbers | Closed Captioned Video: Rational Numbers: Variable Expressions with Rational Numbers
This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward. |
Rational Expressions | |
Closed Captioned Video: Simplifying Rational Expressions | Closed Captioned Video: Simplifying Rational Expressions
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. . |
Rational Expressions | |
Definition--Equation Concepts--Algebraic Expression | Algebraic ExpressionTopicEquations DefinitionAn algebraic expression is a combination of variables, constants, and arithmetic operations, without an equality sign. DescriptionAlgebraic expressions are fundamental components of algebra. They represent quantities and relationships without asserting equality. Examples include 3x + 4 and 5y − 2. Unlike equations, expressions cannot be solved but can be simplified or evaluated for given variable values. |
Numerical and Algebraic Expressions | |
Definition--Equation Concepts--Numerical Expression | Numerical ExpressionTopicEquations DefinitionA numerical expression is a mathematical phrase involving numbers and operation symbols, but no variables. DescriptionNumerical expressions consist of numbers and operations such as addition, subtraction, multiplication, and division. For example, 3 + 4 × 2 is a numerical expression. These expressions are evaluated to find their value. In real-world applications, numerical expressions are used in everyday calculations such as budgeting, measuring, and data analysis. Understanding numerical expressions helps students perform arithmetic operations and develop computational skills. |
Numerical Expressions | |
Definition--Equation Concepts--Variable Expression | Variable ExpressionTopicEquations DefinitionA variable expression is a mathematical phrase involving variables, numbers, and operation symbols. DescriptionVariable expressions consist of variables, numbers, and operations such as addition, subtraction, multiplication, and division. For example, 3x + 4 is a variable expression. These expressions are used to represent quantities and relationships in algebra. |
Variable Expressions | |
Definition--Factors and Multiples--Factoring Algebraic Expressions | Factoring Algebraic ExpressionsTopicFactors and Multiples DefinitionFactoring algebraic expressions involves breaking down a polynomial into simpler components called factors that, when multiplied together, give the original polynomial. DescriptionFactoring algebraic expressions is a fundamental concept in algebra that plays a crucial role in simplifying expressions, solving equations, and understanding polynomial functions. This process involves expressing a polynomial as a product of its factors, which are simpler polynomials or numbers. For instance, the polynomial x^2 - 5x + 6 can be factored into (x - 2)(x - 3). |
Numerical Expressions | |
Definition--Rationals and Radicals--Partial Fraction Decomposition of a Rational Expression | Partial Fraction Decomposition of a Rational ExpressionTopicRationals and Radicals DefinitionPartial fraction decomposition is a method used to express a rational expression as a sum of simpler fractions. DescriptionPartial Fraction Decomposition is a powerful tool in the study of Rational Numbers, Expressions, Equations, and Functions. It involves breaking down a complex rational expression into a sum of simpler fractions, which are easier to integrate or differentiate. For example, the rational function $$\frac{2x+3}{(x+1)(x-2)}$$ can be decomposed into |
Rational Expressions | |
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--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--Simplifying a Radical Expression | Simplifying a Radical ExpressionTopicRationals and Radicals DefinitionSimplifying a radical expression involves reducing the expression to its simplest form by factoring the radicand and removing any perfect square factors (for square roots) or perfect cube factors (for cube roots). DescriptionSimplifying a Radical Expression is a fundamental skill in the study of Radical Numbers, Expressions, Equations, and Functions. This process involves reducing a radical expression to its simplest form, which often makes it easier to work with and understand. For example, simplifying $$\sqrt{18}$$ results in |
Radical Expressions | |
Definition--Rationals and Radicals--Simplifying a Rational Expression | Simplifying a Rational ExpressionTopicRationals and Radicals DefinitionSimplifying a rational expression involves reducing the fraction to its lowest terms by factoring both the numerator and denominator and canceling common factors. DescriptionSimplifying a Rational Expression is a crucial skill in the study of Rational Numbers, Expressions, Equations, and Functions. This process involves reducing a rational expression to its simplest form by factoring both the numerator and denominator and canceling common factors. For example, simplifying $$\frac{x^2 - 1}{x - 1}$$ results in x + 1 for |
Rational Expressions | |
Definition--Variables, Unknowns, and Constants--Algebraic Expression | Definition--Variables, Unknowns, and Constants--Algebraic Expression
This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties. |
Variables and Unknowns | |
Definition--Variables, Unknowns, and Constants--Evaluating an Algebraic Expression | Definition--Variables, Unknowns, and Constants--Evaluating an Algebraic Expression
This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties. |
Variables and Unknowns | |
Definition--Variables, Unknowns, and Constants--Numerical Expression | Definition--Variables, Unknowns, and Constants--Numerical Expression
This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties. |
Variables and Unknowns | |
Definition--Variables, Unknowns, and Constants--Variable Expression | Definition--Variables, Unknowns, and Constants--Variable Expression
This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties. |
Variables and Unknowns | |
Elementary Definition--Multiplication and Division Concepts--Division Expression | Division ExpressionTopicMultiplication and Division DefinitionA division expression is a mathematical phrase that involves division, such as 12 ÷ 3. |
Multiplication Expressions and Equations | |
Elementary Definition--Multiplication and Division Concepts--Multiplication Expression | Multiplication ExpressionTopicMultiplication and Division DefinitionA multiplication expression is a mathematical phrase that involves multiplication, such as 5 × 7. DescriptionMultiplication expressions are used to represent the multiplication of numbers in a concise form. For example, the expression 6 × 8 |
Multiplication Expressions and Equations | |
Elementary Math Definitions--Addition Subtraction Concepts--Addition Expression | Addition ExpressionTopicAddition and Subtraction DefinitionAn addition expression is a mathematical phrase that shows the sum of two or more numbers without an equals sign. DescriptionAn addition expression is a mathematical phrase that involves adding two or more numbers but does not include an equals sign. For example, 3 + 4 is an addition expression. These expressions are used to represent sums in a concise manner and are fundamental in understanding arithmetic operations. |
Addition Expressions and Equations | |
Elementary Math Definitions--Addition Subtraction Concepts--Subtraction Expression | Subtraction ExpressionTopicAddition and Subtraction DefinitionA subtraction expression is a mathematical phrase that shows the difference between two numbers without an equals sign. DescriptionA subtraction expression is a mathematical phrase that involves subtracting one number from another but does not include an equals sign. For example, 7 − 4 is a subtraction expression. These expressions are used to represent differences in a concise manner and are fundamental in understanding arithmetic operations. |
Addition Expressions and Equations | |
INSTRUCTIONAL RESOURCE: Math Examples 64 | MATH EXAMPLES--The Language of Math--Numerical Expressions--Addition
This set of tutorials provides 40 examples of converting verbal expressions into numerical expressions that involve addition. Note: The download is a PPT file. NOTE: The download is a PPT file. |
Numerical and Algebraic Expressions | |
INSTRUCTIONAL RESOURCE: Math Examples 65 | MATH EXAMPLES--The Language of Math--Numerical Expressions--Division
This set of tutorials provides 40 examples of converting verbal expressions into numerical expressions that involve division. Note: The download is a PPT file. NOTE: The download is a PPT file. |
Numerical and Algebraic Expressions | |
INSTRUCTIONAL RESOURCE: Math Examples 66 | MATH EXAMPLES--The Language of Math--Numerical Expressions--Grouping Symbols
This set of tutorials provides 32 examples of converting verbal expressions into numerical expressions that involve grouping symbols. Note: The download is a PPT file. NOTE: The download is a PPT file. |
Numerical and Algebraic Expressions | |
INSTRUCTIONAL RESOURCE: Math Examples 67 | MATH EXAMPLES--The Language of Math--Numerical Expressions--Multiplication
This set of tutorials provides 40 examples of converting verbal expressions into numerical expressions that involve multiplication. Note: The download is a PPT file. NOTE: The download is a PPT file. |
Numerical and Algebraic Expressions | |
INSTRUCTIONAL RESOURCE: Math Examples 68 | MATH EXAMPLES--The Language of Math--Numerical Expressions--Subtraction
This set of tutorials provides 40 examples of converting verbal expressions into numerical expressions that involve subtraction. Note: The download is a PPT file. NOTE: The download is a PPT file. |
Numerical and Algebraic Expressions | |
INSTRUCTIONAL RESOURCE: Math Examples 69 | MATH EXAMPLES--The Language of Math--Variable Expressions--Multiplication and Addition
This set of tutorials provides 32 examples of converting verbal expressions into variable expressions that involve multiplication and addition. Note: The download is a PPT file. NOTE: The download is a PPT file. |
Numerical and Algebraic Expressions | |
INSTRUCTIONAL RESOURCE: Math Examples 70 | MATH EXAMPLES--The Language of Math--Variable Expressions--Multiplication and Subtraction
This set of tutorials provides 32 examples of converting verbal expressions into variable expressions that involve multiplication and subtraction. Note: The download is a PPT file. NOTE: The download is a PPT file. |
Numerical and Algebraic Expressions | |
INSTRUCTIONAL RESOURCE: Tutorial: Multiplication and Division Expressions | INSTRUCTIONAL RESOURCE: Tutorial: Multiplication and Division Expressions
This tutorial provides an overview of numerical expressions in the context of multiplication and division expressions. This is part of a collection of math 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. |
Division Expressions and Equations and Multiplication Expressions and Equations | |
Instructional Resource: Tutorial: What Are Rational Expressions? | Instructional Resource: Tutorial: What Are Rational Expressions?
In this tutorial students learn about rational expressions and use the properties of fractions to combine them. —Press PREVIEW to see the tutorial— |
Rational Expressions | |
INSTRUCTIONAL RESOURCE: Tutorial: Variables and Variable Expressions | INSTRUCTIONAL RESOURCE: Tutorial: Variables and Variable Expressions
In this Slide Show, learn about variables and variable expressions. 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. |
Variable Expressions, Applications of Equations and Inequalities and Variables and Unknowns | |
Interactive Math Game--DragNDrop--The Language of Math--Numerical Expressions--Addition | Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Addition
In this drag-and-drop game, a verbal expression to a numerical expression with addition. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Numerical Expressions and Variable Expressions | |
Interactive Math Game--DragNDrop--The Language of Math--Numerical Expressions--Division | Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Division
In this drag-and-drop game, match a verbal description of an addition expression with its numerical counterpart. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Numerical Expressions and Variable Expressions | |
Interactive Math Game--DragNDrop--The Language of Math--Numerical Expressions--Grouping Symbols | Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Grouping Symbols
In this drag-and-drop game, a verbal expression to a numerical expression with grouping symbols. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Numerical Expressions and Variable Expressions | |
Interactive Math Game--DragNDrop--The Language of Math--Numerical Expressions--Multiplication | Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Multiplication
In this drag-and-drop game, match a verbal expression to a numerical expression with multiplication. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Numerical Expressions and Variable Expressions | |
Interactive Math Game--DragNDrop--The Language of Math--Numerical Expressions--Subtraction | Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Subtraction
In this drag-and-drop game, match a verbal description of a subtraction expression with its numerical counterpart. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Numerical Expressions and Variable Expressions | |
Interactive Math Game--DragNDrop--The Language of Math--Variable Expressions--Multiplication and Addition | Interactive Math Game--DragNDrop Math--The Language of Math--Variable Expressions--Multiplication and Addition
In this drag-and-drop game, a verbal expression to a variable expression with multiplication and addition. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Numerical Expressions and Variable Expressions | |
Interactive Math Game--DragNDrop--The Language of Math--Variable Expressions--Multiplication and Subtraction | Interactive Math Game--DragNDrop Math--The Language of Math--Variable Expressions--Multiplication and Subtraction
In this drag-and-drop game, a verbal expression to a variable expression with multiplication and subtraction. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Numerical Expressions and Variable Expressions | |
Interactive Math Game: Math Riddles--Expressions and Equations | Interactive Math Game: Math Riddles--Expressions and Equations
In this Math Riddles Game, have your students review vocabulary around the topic of expressions and equations. The Math Riddles games are useful for practicing: Math Vocabulary, Key Concepts, Critical Thinking. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Numerical and Algebraic Expressions | |
Math Example--Combinatorics--Factorial Expressions: Example 1 | Math Example--Combinatorics--Factorial Expressions: Example 1
This is part of a collection of math examples that focus on combinatorics and factorial expressions. |
Data Analysis and Combinatorics | |
Math Example--Combinatorics--Factorial Expressions: Example 10 | Math Example--Combinatorics--Factorial Expressions: Example 10
This is part of a collection of math examples that focus on combinatorics and factorial expressions. |
Combinatorics | |
Math Example--Combinatorics--Factorial Expressions: Example 11 | Math Example--Combinatorics--Factorial Expressions: Example 11
This is part of a collection of math examples that focus on combinatorics and factorial expressions. |
Combinatorics | |
Math Example--Combinatorics--Factorial Expressions: Example 12 | Math Example--Combinatorics--Factorial Expressions: Example 12
This is part of a collection of math examples that focus on combinatorics and factorial expressions. |
Combinatorics | |
Math Example--Combinatorics--Factorial Expressions: Example 13 | Math Example--Combinatorics--Factorial Expressions: Example 13
This is part of a collection of math examples that focus on combinatorics and factorial expressions. |
Combinatorics | |
Math Example--Combinatorics--Factorial Expressions: Example 14 | Math Example--Combinatorics--Factorial Expressions: Example 14
This is part of a collection of math examples that focus on combinatorics and factorial expressions. |
Combinatorics | |
Math Example--Combinatorics--Factorial Expressions: Example 2 | Math Example--Combinatorics--Factorial Expressions: Example 2
This is part of a collection of math examples that focus on combinatorics and factorial expressions. |
Combinatorics |