Know and apply the properties of integer exponents to generate equivalent expressions.

- Subject:
- Mathematics
- Material Type:
- Activity/Lab
- Author:
- Liberty Public Schools
- Date Added:
- 04/13/2021

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Know and apply the properties of integer exponents to generate equivalent expressions.

- Subject:
- Mathematics
- Material Type:
- Activity/Lab
- Author:
- Liberty Public Schools
- Date Added:
- 04/13/2021

Conditional Remix & Share Permitted

CC BY-NC
Students will create an interactive Powerpoint game where they will create real world problems that are used as clues to move on to the next level. Problems include all 8th grade math standards.

- Subject:
- Mathematics
- Material Type:
- Interactive
- Date Added:
- 10/17/2015

Unrestricted Use

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This task requires students to work with very large and small values expressed both in scientific notation and in decimal notation (standard form). In addition, students need to convert units of mass.

- Subject:
- Mathematics
- Material Type:
- Activity/Lab
- Provider:
- Illustrative Mathematics
- Provider Set:
- Illustrative Mathematics
- Author:
- Illustrative Mathematics
- Date Added:
- 08/21/2012

Only Sharing Permitted

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This lesson unit is intended to help teachers assess how well students are able to create and solve linear equations. In particular, the lesson will help you identify and help students who have the following difficulties: solving equations with one variable and solving linear equations in more than one way.

- Subject:
- Algebra
- Mathematics
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- Provider Set:
- Mathematics Assessment Project (MAP)
- Date Added:
- 04/26/2013

Only Sharing Permitted

CC BY-NC-ND
This lesson unit is intended to help teachers assess how well students are able to classify solutions to a pair of linear equations by considering their graphical representations. In particular, this unit aims to help teachers identify and assist students who have difficulties in: using substitution to complete a table of values for a linear equation; identifying a linear equation from a given table of values; and graphing and solving linear equations.

- Subject:
- Algebra
- Mathematics
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- Provider Set:
- Mathematics Assessment Project (MAP)
- Date Added:
- 04/26/2013

Only Sharing Permitted

CC BY-NC-ND
This lesson unit is intended to help teachers assess how well students are able to: estimate lengths of everyday objects; convert between decimal and scientific notation; and make comparisons of the size of numbers expressed in both decimal and scientific notation.

- Subject:
- Mathematics
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- Provider Set:
- Mathematics Assessment Project (MAP)
- Date Added:
- 04/26/2013

Conditional Remix & Share Permitted

CC BY-SA
See the "notes" within the slides for more information

- Subject:
- Mathematics
- Material Type:
- Lesson
- Author:
- Tasha Christensen
- Date Added:
- 11/29/2022

Conditional Remix & Share Permitted

CC BY-SA
See the "notes" in the slides for more information.

- Subject:
- Mathematics
- Material Type:
- Lesson
- Author:
- Tasha Christensen
- Date Added:
- 11/29/2022

Conditional Remix & Share Permitted

CC BY-SA
To go alongside Eureka 8 Module 1 Lessons 4-5

- Subject:
- Mathematics
- Material Type:
- Lesson
- Author:
- Tasha Christensen
- Date Added:
- 11/29/2022

Unrestricted Use

CC BY
According to the GED testing service, test takers struggle with “applying rules of exponents in numerical expressions with rational exponents to write equivalent expressions with rational exponents.” (https://www.gedtestingservice.com/uploads/files/09738c12fe4e4accd9a16bab7cb99a3c.pdf )

Students do “fairly well” with simple squares and square roots, but there is a “sharp drop-off” when things get more complicated.

These are questions included in the “no calculator” portion of the test.

These skills are Mathematics Standards Level D in the College and Career Readiness Standards for Adult Education (https://www.educateiowa.gov/sites/files/ed/documents/CCRStandardsAdultEd.pdf ) under “Expressions and Equations.”

This curriculum guide will offer opportunities to build the deeper understanding necessary to understand the rules of exponents such as (xm)n = xmn .

Write and evaluate numerical expressions involving whole-number exponents. (6.EE.1)

Know and apply the properties of integer exponents to generate equivalent numerical expressions. (8.EE.1)

- Subject:
- Mathematics
- Material Type:
- Activity/Lab
- Lesson Plan
- Teaching/Learning Strategy
- Date Added:
- 05/25/2018

Unrestricted Use

CC BY
This is an instructional task meant to generate a conversation around the meaning of negative integer exponents. While it may be unfamiliar to some students, it is good for them to learn the convention that negative time is simply any time before t=0.

- Subject:
- Mathematics
- Material Type:
- Activity/Lab
- Provider:
- Illustrative Mathematics
- Provider Set:
- Illustrative Mathematics
- Author:
- Illustrative Mathematics
- Date Added:
- 05/01/2012

Only Sharing Permitted

CC BY-NC-ND
This lesson unit is intended to help you assess how well students working with square numbers are able to: choose an appropriate, systematic way to collect and organize data, examining the data for patterns; describe and explain findings clearly and effectively; generalize using numerical, geometrical, graphical and/or algebraic structure; and explain why certain results are possible/impossible, moving towards a proof.

- Subject:
- Algebra
- Geometry
- Mathematics
- Measurement and Data
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- Provider Set:
- Mathematics Assessment Project (MAP)
- Date Added:
- 04/26/2013

Conditional Remix & Share Permitted

CC BY-NC-SA
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.

- Subject:
- Mathematics
- Numbers and Operations
- Material Type:
- Module
- Provider:
- New York State Education Department
- Provider Set:
- EngageNY
- Date Added:
- 05/14/2013

Unrestricted Use

CC BY
My goal is to merge New York State standards with Common Core Standards and Integrated Algebra Regent Standards for our 8th grade curriculum.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Lesson Plan
- Syllabus
- Date Added:
- 09/09/2012

Only Sharing Permitted

CC BY-NC-ND
This lesson unit is intended to help teahcers assess how well students are able to interpret speed as the slope of a linear graph and translate between the equation of a line and its graphical representation.

- Subject:
- Algebra
- Mathematics
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- Provider Set:
- Mathematics Assessment Project (MAP)
- Date Added:
- 04/26/2013

Conditional Remix & Share Permitted

CC BY-NC-SA
(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.

- Subject:
- Mathematics
- Numbers and Operations
- Material Type:
- Module
- Provider:
- New York State Education Department
- Provider Set:
- EngageNY
- Date Added:
- 05/14/2013

Unrestricted Use

CC BY
The intent of clarifying statements is to provide additional guidance for educators to communicate the intent of the standard to support the future development of curricular resources and assessments aligned to the 2021 math standards. Clarifying statements can be in the form of succinct sentences or paragraphs that attend to one of four types of clarifications: (1) Student Experiences; (2) Examples; (3) Boundaries; and (4) Connection to Math Practices.

- Subject:
- Mathematics
- Material Type:
- Teaching/Learning Strategy
- Author:
- Mark Freed
- Date Added:
- 07/10/2023

Conditional Remix & Share Permitted

CC BY-NC
This course will place a emphasis on the continued study of integers, order of operations, variables, expressions, equations and polynomials. You will solve equations, write and solve proportions, explore polynomials and build an understanding of important mathematical properties.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Date Added:
- 06/10/2018

Conditional Remix & Share Permitted

CC BY-NC-SA
The goal of this task is to use the quotient rule of exponents to help explain how to define the expressions c^k for c>0 and k≤0. This important definition is motivated and explained by the law of exponents: adopting the definitions for the expressions c^0 and c^−n given in the task allows us to maintain the intuitive product and quotient rules known for all positive exponents (which this task assumes students are familiar with).

- Subject:
- Mathematics
- Material Type:
- Activity/Lab
- Provider:
- Illustrative Mathematics
- Author:
- Illustrative Mathematics
- Date Added:
- 04/28/2023

Only Sharing Permitted

CC BY-NC-ND
This lesson unit is intended to help teachers assess how well students are able to: translate between decimal and fraction notation, particularly when the decimals are repeating; create and solve simple linear equations to find the fractional equivalent of a repeating decimal; and understand the effect of multiplying a decimal by a power of 10.

- Subject:
- Algebra
- Mathematics
- Ratios and Proportions
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- Provider Set:
- Mathematics Assessment Project (MAP)
- Date Added:
- 04/26/2013