Laws of Exponents

Product and Quotient Rules

The Power rule for Exponents

Negative and Zero Exponents

Simplify Expressions using the Exponent Rules

- Subject:
- Algebra
- Material Type:
- Lesson Plan
- Provider:
- Lumen Learning
- Date Added:
- 12/14/2017

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Laws of Exponents

Product and Quotient Rules

The Power rule for Exponents

Negative and Zero Exponents

Simplify Expressions using the Exponent Rules

- Subject:
- Algebra
- Material Type:
- Lesson Plan
- Provider:
- Lumen Learning
- Date Added:
- 12/14/2017

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
- 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

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
- Author:
- Susan Jones
- Date Added:
- 05/25/2018

Only Sharing Permitted

CC BY-NC-ND
This lesson unit is intended to help teachers assess how well students are able to: solve linear equations in one variable with rational number coefficients; collect like terms; expand expressions using the distributive property; and categorize linear equations in one variable as having one, none, or infinitely many solutions. It also aims to encourage discussion on some common misconceptions about algebra.

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

Unrestricted Use

CC BY
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

CC BY-NC-ND
This lesson unit is intended to help teachers assess how well students are able to: interpret a situation and represent the variables mathematically; select appropriate mathematical methods to use; explore the effects of systematically varying the constraints; interpret and evaluate the data generated and identify the break-even point, checking it for confirmation; and communicate their reasoning clearly.

- Subject:
- 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 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
- 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

Only Sharing Permitted

CC BY-NC-ND
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
- 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 is a summary and example of my experiences and successes "flipping" my Algebra I classroom in the 2012-13 school year. An example of the materials a student would encounter in a given 24 hour period are included.

- Subject:
- Mathematics
- Material Type:
- Case Study
- Teaching/Learning Strategy
- Author:
- Jason Rothgeb
- Date Added:
- 01/28/2016

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
- Author:
- Deanna Mayers
- Date Added:
- 06/10/2018

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-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
- Author:
- Linda Ridings
- Date Added:
- 01/28/2016

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

Conditional Remix & Share Permitted

CC BY-NC-SA
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

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
- Author:
- Shaun Errichiello
- Date Added:
- 01/28/2016

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.

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