Gain a basic understanding of exponents and square roots by watching this easy to understand video tutorial. Additional resources are available as part of a paid subscription service. [11:11]
Lists the laws of exponents on the left side of the page with corresponding examples on the right.
This part 1 of a QuickTime movie extends the concept of doubling based on the book "The King's Chessboard". The doubled numbers are also shown using exponents. The data is organized in a table. As you watch and listen to the teacher and students interact it helps clarify the thinking behind applying this concept.
Expressions
Type of Unit: Concept
Prior Knowledge
Students should be able to:
Write and evaluate simple expressions that record calculations with numbers.
Use parentheses, brackets, or braces in numerical expressions and evaluate expressions with these symbols.
Interpret numerical expressions without evaluating them.
Lesson Flow
Students learn to write and evaluate numerical expressions involving the four basic arithmetic operations and whole-number exponents. In specific contexts, they create and interpret numerical expressions and evaluate them. Then students move on to algebraic expressions, in which letters stand for numbers. In specific contexts, students simplify algebraic expressions and evaluate them for given values of the variables. Students learn about and use the vocabulary of algebraic expressions. Then they identify equivalent expressions and apply properties of operations, such as the distributive property, to generate equivalent expressions. Finally, students use geometric models to explore greatest common factors and least common multiples.
Students play an Expressions Game in which they describe expressions to their partners using the vocabulary of expressions: term, coefficient, exponent, constant, and variable. Their partners try to write the correct expressions based on the descriptions.Key ConceptsMathematical expressions have parts, and these parts have names. These names allow us to communicate with others in a precise way.A variable is a symbol (usually a letter) in an expression that can be replaced by a number.A term is a number, a variable, or a product of numbers and variables. Terms are separated by the operator symbols + (plus) and – (minus).A coefficient is a symbol (usually a number) that multiplies the variable in an algebraic expression.An exponent tells how many copies of a number or variable are multiplied together.A constant is a number. In an expression, it can be a constant term or a constant coefficient. In the expression 2x + 3, 2 is a constant coefficient and 3 is a constant term.Goals and Learning ObjectivesIdentify parts of an expression using appropriate mathematical vocabulary.Write expressions that fit specific descriptions (for example, the expression is the sum of two terms each with a different variable).
Here is a site that clearly and thoroughly explains many topics related to algebraic expressions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who have been absent or who need additional instruction on this or many other topics.
Here is a site that clearly and thoroughly explains many topics related to exponents, including the product rule, power rule, and quotient rule. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who have been absent or who need additional instruction on this or many other topics.
Determine the squares with this interactive practice and assess learning with a quiz. Click the question mark for hints.
(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)
En el módulo 1 de grado 8, los estudiantes amplían su conocimiento básico de exponentes enteros positivos y prueban las leyes de los exponentes para cualquier exponente entero. A continuación, los estudiantes trabajan con números en forma de entero multiplicado por un poder de 10 para expresar cuántas veces es uno que el otro. Esto lleva a una explicación de la notación científica y el trabajo continuo que realiza operaciones en números escritos de esta forma.
Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.
English Description:
In Grade 8 Module 1, students expand their basic knowledge of positive integer exponents and prove the Laws of Exponents for any integer exponent. Next, students work with numbers in the form of an integer multiplied by a power of 10 to express how many times as much one is than the other. This leads into an explanation of scientific notation and continued work performing operations on numbers written in this form.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
Determine the relationship between graphic patterns and what they represent mathematically. This video focuses on how fractals can be a visual representation of negative exponents, which are a way to express repeated division.
Download these free worksheets to sharpen your number sense skills. Sheets focus on roman numerals, scientific notation, counting, expanded form, exponents, factoring, roots, and rounding.
Simplify this tricky expression using the order of operations. Expression include negative numbers and exponents. [4:36]
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
Exponents are near the top of the food chain when it comes to order of operations. See some examples from Sal Khan. [3:34]
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
Detailed math tutorial features notes and examples that discuss methods for solving equations that contain exponentials.
The mathematics tutorial consists of notes and examples that investigate positive and negative integer exponents.
Download these free worksheets to sharpen your skills working with powers of ten. Sheets focus on whole numbers and decimals in comma/point and point/comma formats and are in both standard form and exponent form.
Gain an understanding of powers and exponents by viewing examples and a video lesson. [1:06]
The lesson explains what scientific notation is, how to convert numbers into scientific and decimal notation, and gives some example problems that are worked through step by step.
An in-depth lesson which teaches you how to graph exponential equations. Examples are worked through step by step and explained in detail for different exponential equations.