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Key Concepts in Algebra

The Key Concepts in Algebra collection provides quick and easy access to high-quality high school algebra resources. These resources have been selected by trusted educators to correlate with the Denver Public School's Algebra 1 and 2 instructional learning guides for teachers.

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Algebra Lab: Inverse Variation
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This lesson from Algebra Lab demonstrates "how to write equations of quantities which vary inversely." The lesson includes an example of a graph of this type of equation, and several example problems. This supporting material would be best used following some in-class instruction explaining how to solve inverse variation equations.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Lesson Plan
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
11/04/2012
Beginning Algebra Tutorial: Reading Graphs
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This tutorial from West Texas A&M University's Virtual Math Lab introduces bar graphs, line graphs, double line graphs and Venn diagrams to beginning algebra students. The unit explains each type of graph and includes examples. Students will use provided sample graphs to answer a series of questions about each example.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Lesson Plan
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Author:
Seward, Kim
Date Added:
11/04/2014
Direct and Inverse Variation Video Demonstration
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This video demonstration from Robert Ahdoot of yaymath.org explains direct and inverse variation. The video is a clip from an algebra II class. The instructor uses real-world examples to explain this mathematical concept, and includes interaction from his students. Flash player is required to view the video, and the running time for the video is 8:25.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Lesson Plan
Simulation
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Author:
Ahdoot, Robert
Date Added:
12/29/2011
Exploring Data Display and Graphs
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Educational Use
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This learning unit from Math Interactives demonstrates data display and graphs. A video is included which explains the role graphs have in the retail world. The interactive portion of the learning unit has students compare line graphs, bar graphs and circle graphs. They will compare two different data displays and determine if they represent the same data. This lesson will help students understand that the same data may be demonstrated in vastly different ways, and the importance of how data is displayed. A print version of the activity is available for download in Microsoft Word and PDF file formats.

Subject:
Education
Mathematics
Algebra
Material Type:
Activity/Lab
Assessment
Diagram/Illustration
Interactive
Lesson Plan
Simulation
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
11/04/2003
Exploring Election Data
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Educational Use
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This interactive mathematics resource allows students to explore and interpret Alberta provincial election results from 1905 to 2004 using a pictograph, line graph, bar graph, circle graph, or data table. The resource includes print activities, solutions, and learning strategies.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Assessment
Diagram/Illustration
Lesson Plan
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
11/04/2003
Exploring Linear Equations
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Educational Use
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This multimedia mathematics resource shows how math is used at the Calgary Zoo to calculate how much it costs to feed the animals. An interactive activity allows students to change variables in linear equations to create unique ways of obtaining the same solution. A print activity is provided.

Subject:
Mathematics
Algebra
Material Type:
Interactive
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
11/04/2005
Exploring Order of Operations
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Educational Use
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This interactive activity demonstrates the order of operations. The game asks students to click on the correct operation in a series of mathematical problems. Correct answers will increase the user's time for the next game. Students should have some knowledge of the order of operations prior to doing this activity. Two worksheets are also available for print or download in PDF file format.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
08/06/2012
Exploring Parabolas and Polynomial Equations
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Educational Use
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This multimedia mathematics resource features a video that illustrates how parabolas and polynomial equations are used to study the flight path of objects. Using an interactive component, students explore and compare the flight paths and equations of a football, a mountain bike, and a skateboard. A polynomials print activity is provided.

Subject:
Mathematics
Algebra
Functions
Material Type:
Activity/Lab
Diagram/Illustration
Interactive
Lesson Plan
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
11/04/2003
Exploring Probability
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Educational Use
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This interactive mathematics resource allows the user to explore the outcomes resulting from tossing a coin, rolling a die, and using a spinner to perform single and double event probabilities. The resource includes print activities, solutions, learning strategies, and a board game.

Subject:
Mathematics
Space Science
Material Type:
Activity/Lab
Assessment
Diagram/Illustration
Game
Lesson Plan
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
11/04/2003
Exploring Probability and the Monte Carlo Method
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Educational Use
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This multimedia mathematics resource examines probability. A video illustrates how math is used to evaluate the danger of avalanches in the mountains of Alberta. An interactive component allows students to compare theoretical and experimental probabilities, as well as explore the Monte Carlo method. A probability print activity is also included.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Interactive
Lesson Plan
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
11/04/2003
Finding One Variable Statistics With a Graphing Calculator
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Copyright Restricted
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This quick YouTube video from high school statistics teacher Roger W. Davis explains how to find one variable statistics using the TI-84 graphing calculator. The demonstration goes through three steps: entering the data, finding one variable statistics using the STAT menu, and interpreting the results. The data created includes mean, sum, median and more. Flash player is required to view this video, and the running time for the clip is 3:12.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Simulation
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Author:
Davis, Roger W.
Date Added:
02/12/2009
Graphing Equations in Slope Intercept Form
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This video demonstration explains graphing equations in slope intercept form. The narrator explains the equation form y=mx+b, slope, and how changing any of the variables changes where the line falls on the graph. The algebraic concepts are explained very clearly, and this excellent video is very easy to follow. Flash player is required to view the video, and the running time for the video is 3:55.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Lesson Plan
Simulation
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
11/04/2012
Graphing Quadratic Functions
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Educational Use
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This video defines quadratic functions. Additionally, it explains how to graph these types of functions in a parabola and how the function affects the shape of the graph.

Subject:
Mathematics
Algebra
Material Type:
Diagram/Illustration
Lecture Notes
Simulation
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
08/06/2012
Introduction to Order of Operations
Conditional Remix & Share Permitted
CC BY-SA
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This video demonstration introduces order of operations for pre-algebra level learners. The presenter explains the correct order of operations (parentheses, exponents, multiplication/division, addition/subtraction) using a simple math problem as an introductory example. Flash is required to view the video. Running time for the video is 9:39.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
11/04/2010
Linear Equations: One Step Equations
Unrestricted Use
CC BY
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This video, best for introductory algebra students, demonstrates solving linear equations by working backwards, using inverse or opposite operations. The video uses several examples to demonstrate balancing equations to solve them. This is an excellent resource to help students understand how to solve linear equations by undoing operations and balancing. Flash player is required to view the video. Running time for the video is 4:59.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Author:
Wallace, Tyler
Date Added:
08/17/2011
Proportion Basics
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This simple lesson explains proportions and ratios. A step by step example of how to solve a proportion is included as well as a word problem example. The lesson starts out with a one variable example and moves on to a two variable example. At the end of the lesson, several additional links to support materials are included.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Lesson Plan
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
11/04/2011
Solving Quadratic Equations by Factoring
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Educational Use
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This video explains how to solve quadratic equations with the factoring method. In 4 minutes 23 seconds, the two narrators explain in detail the steps required. Additionally, how these equations relate to objects and events in the real world such as roller coasters is covered.

Subject:
Mathematics
Algebra
Material Type:
Lecture Notes
Simulation
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
08/06/2012
Solving Systems of Linear Equations in Two Variables
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This tutorial on solving systems of linear equations in two variables walks students through each step of solving, and provides a handy video lesson at the end in which an instructor guides the viewer through the solution.

Subject:
Education
Mathematics
Algebra
Material Type:
Activity/Lab
Lesson Plan
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
11/04/2014
Video Demonstration: Proportions
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This video demonstration from Watch Know Learn will help students learning about proportions. The video will help students with some knowledge of proportions by showing examples of how to solve them. The definition of a proportion is included as well as examples of how to cross-multiply to solve proportion problems. The demonstration shows what a non-proportion problem looks like and how to solve it as well as a few examples of using the lowest common denominator to solve proportions. Flash player is required to view the video, and the running time for the video is 8:09.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Date Added:
11/04/2012