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This task examines the ways in which the plane can be covered by regular polygons in a very strict arrangement called a regular tessellation. These tessellations are studied here using algebra, which enters the picture via the formula for the measure of the interior angles of a regular polygon (which should therefore be introduced or reviewed before beginning the task). The goal of the task is to use algebra in order to understand which tessellations of the plane with regular polygons are possible.

الموضوع:
الرياضيات
علم الجبر
هندسة الشكل
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
01/21/2013
Rating
0,0 stars

This lesson is about trying to get students to make connections between ideas about equations, inequalities, and expressions. The lesson is designed to give students opportunities to use mathematical vocabulary for a purpose to describe, discuss, and work with these symbol strings.The idea is for students to start gathering global information by looking at the whole number string rather than thinking only about individual procedures or steps. Hopefully students will begin to see the symbol strings as mathematical objects with their own unique set of attributes. (7th Grade Math)

الموضوع:
علم الجبر
الأعداد والعمليات الحسابية
نوع المادة:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
في قلب الرياضيات
المؤلف:
Disston, Jacob
11/30/2011
Unrestricted Use
CC BY
Rating
0,0 stars

In this task students have to interpret expressions involving two variables in the context of a real world situation. All given expressions can be interpreted as quantities that one might study when looking at two animal populations.

الموضوع:
الرياضيات
علم الجبر
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
05/01/2012
Conditional Remix & Share Permitted
CC BY-SA
Rating
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We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.).Differentiation is also used in analysis of finance and economics.

الموضوع:
Finance
هندسة الشكل
نوع المادة:
محاكاة
Provider:
GeoGebra
Provider Set:
موقع GeoGebraTube
03/12/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
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0,0 stars

The purpose of this learning video is to show students how to think more freely about math and science problems. Sometimes getting an approximate answer in a much shorter period of time is well worth the time saved. This video explores techniques for making quick, back-of-the-envelope approximations that are not only surprisingly accurate, but are also illuminating for building intuition in understanding science. This video touches upon 10th-grade level Algebra I and first-year high school physics, but the concepts covered (velocity, distance, mass, etc) are basic enough that science-oriented younger students would understand. If desired, teachers may bring in pendula of various lengths, weights to hang, and a stopwatch to measure period. Examples of in- class exercises for between the video segments include: asking students to estimate 29 x 31 without a calculator or paper and pencil; and asking students how close they can get to a black hole without getting sucked in.

الموضوع:
الهندسة
علم الجبر
نوع المادة:
Lecture
Provider:
MIT
Provider Set:
أزهار معهد ماساتشوستس للتكنولوجيا MIT
المؤلف:
Stephen M. Hou
06/02/2015
Unrestricted Use
CC BY
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In this real world problem students solve questions based on the relationship between production costs and price.

الموضوع:
الرياضيات
وظائف
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
05/01/2012
Unrestricted Use
CC BY
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This task provides a real world context for interpreting and solving exponential equations. There are two solutions provided for part (a). The first solution demonstrates how to deduce the conclusion by thinking in terms of the functions and their rates of change. The second approach illustrates a rigorous algebraic demonstration that the two populations can never be equal.

الموضوع:
الرياضيات
وظائف
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
05/01/2012
Some Rights Reserved
Rating
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Explore the origin of energy bands in crystals of atoms. The structure of these bands determines how materials conduct electricity.

الموضوع:
الفيزياء
نوع المادة:
محاكاة
Provider:
Provider Set:
المحاكاة التفاعلية لموقع PhET
المؤلف:
Carl Wieman
Chris Malley
Kathy Perkins
Sam McKagan
07/02/2010
Unrestricted Use
CC BY
Rating
0,0 stars

This task presents a simple but mathematically interesting game whose solution is a challenging exercise in creating and reasoning with algebraic inequalities. The core of the task involves converting a verbal statement into a mathematical inequality in a context in which the inequality is not obviously presented, and then repeatedly using the inequality to deduce information about the structure of the game.

الموضوع:
الرياضيات
علم الجبر
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
10/21/2013
Unrestricted Use
CC BY
Rating
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This task provides an exploration of a quadratic equation by descriptive, numerical, graphical, and algebraic techniques. Based on its real-world applicability, teachers could use the task as a way to introduce and motivate algebraic techniques like completing the square, en route to a derivation of the quadratic formula.

الموضوع:
الرياضيات
علم الجبر
وظائف
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
05/01/2012
Only Sharing Permitted
CC BY-NC-ND
Rating
3,0 stars

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.

الموضوع:
علم الجبر
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0,0 stars

This task was developed by high school and postsecondary mathematics and health sciences educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

الموضوع:
Health, Medicine and Nursing
علم الجبر
Ratios and Proportions
الإحصائيات والاحتمالات
نوع المادة:
Activity/Lab
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
التعليم المهني التقني
07/27/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0,0 stars

This task was developed by high school and postsecondary mathematics and health sciences educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

الموضوع:
Health, Medicine and Nursing
علم الجبر
Ratios and Proportions
نوع المادة:
Activity/Lab
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
التعليم المهني التقني
07/27/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0,0 stars

This task was developed by high school and postsecondary mathematics and health sciences educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

الموضوع:
Health, Medicine and Nursing
علم الجبر
وظائف
نوع المادة:
Activity/Lab
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
التعليم المهني التقني
07/27/2012
Unrestricted Use
CC BY
Rating
0,0 stars

This task presents a real world situation that can be modeled with a linear function best suited for an instructional context.

الموضوع:
الرياضيات
وظائف
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
05/01/2012
Unrestricted Use
CC BY
Rating
0,0 stars

This new version of the CCK adds capacitors, inductors and AC voltage sources to your toolbox! Now you can graph the current and voltage as a function of time.

الموضوع:
Electronic Technology
نوع المادة:
محاكاة
Provider:
Provider Set:
المحاكاة التفاعلية لموقع PhET
المؤلف:
Carl Wieman
Kathy Perkins
Michael Dubson
Sam Reid
07/12/2008
Only Sharing Permitted
CC BY-NC-ND
Rating
4,0 stars

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.

الموضوع:
علم الجبر
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Unrestricted Use
CC BY
Rating
0,0 stars

The primary purpose of this problem is to rewrite simple rational expressions in different forms to exhibit different aspects of the expression, in the context of a relevant real-world context (the fuel efficiency of of a car). Indeed, the given form of the combined fuel economy computation is useful for direct calculation, but if asked for an approximation, is not particularly helpful.

الموضوع:
الرياضيات
علم الجبر
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
01/25/2013
Unrestricted Use
CC BY
Rating
0,0 stars

This task gives students an opportunity to work with exponential functions in a real world context involving continuously compounded interest. They will study how the base of the exponential function impacts its growth rate and use logarithms to solve exponential equations.

الموضوع:
الرياضيات
وظائف
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
05/01/2012
Only Sharing Permitted
CC BY-NC-ND
Rating
0,0 stars

This lesson unit is intended to help teachers assess how well students are able to interpret exponential and linear functions and in particular to identify and help students who have the following difficulties: translating between descriptive, algebraic and tabular data, and graphical representation of the functions; recognizing how, and why, a quantity changes per unit intervale; and to achieve these goals students work on simple and compound interest problems.

الموضوع:
علم الجبر
القياس والبيانات
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Rating
0.0 stars

The foundation of this lesson is constructing, communicating, and evaluating student-generated tables while making comparisons between three different financial plans. Students are given three different DVD rental plans and asked to analyze each one to see if they could determine when the 3 different DVD plans cost the same amount of money, if ever. (7th/8th Grade Math)

Subject:
Algebra
Material Type:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
Inside Mathematics
Author:
Dimas, Cecilio
11/30/2011
Unrestricted Use
CC BY
Rating
0.0 stars

This purpose of this task is to help students see two different ways to look at percentages both as a decrease and an increase of an original amount. In addition, students have to turn a verbal description of several operations into mathematical symbols.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/01/2012
Unrestricted Use
CC BY
Rating
0.0 stars

Explore tunneling splitting in double well potentials. This classic problem describes many physical systems, including covalent bonds, Josephson junctions, and two-state systems such as spin 1/2 particles and ammonia molecules.

Subject:
Physics
Material Type:
Simulation
Provider:
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Chris Malley
Kathy Perkins
Sam McKagan
10/04/2006
Only Sharing Permitted
CC BY-NC-ND
Rating
4,5 stars

This lesson unit is intended to help assess how well students are able to interpret and use scale drawings to plan a garden layout. This involves using proportional reasoning and metric units.

الموضوع:
علم الجبر
هندسة الشكل
Ratios and Proportions
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^0 (i.e., the constant, c) on the vertex of a parabola where a and b are arbitrarily fixed values in f(x)=ax^2+bx+c.

Subject:
Mathematics
Material Type:
Activity/Lab
Assessment
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Starting Point (SERC)
Author:
James J. Rutledge
08/28/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^2 on the vertex of a parabola where a>0, b>0 and b and c are fixed values in f(x)=ax^2+bx+c.

Subject:
Mathematics
Material Type:
Activity/Lab
Assessment
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Starting Point (SERC)
Author:
James J. Rutledge
08/28/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^2 on the vertex of a parabola where a<0, b>0 and b and c are fixed values in f(x)=ax^2+bx+c.

Subject:
Mathematics
Material Type:
Activity/Lab
Assessment
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Starting Point (SERC)
Author:
James J. Rutledge
08/28/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x on the vertex of a parabola where a>0, b>0 and a and c are fixed values in f(x)=ax^2+bx+c.

Subject:
Mathematics
Material Type:
Activity/Lab
Assessment
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Starting Point (SERC)
Author:
James J. Rutledge
08/28/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x on the vertex of a parabola where a>0, b<0 and a and c are fixed values in f(x)=ax^2+bx+c.

Subject:
Mathematics
Material Type:
Activity/Lab
Assessment
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Starting Point (SERC)
Author:
James J. Rutledge
08/28/2012
Unrestricted Use
CC BY
Rating
0,0 stars

Learn about graphing polynomials. The shape of the curve changes as the constants are adjusted. View the curves for the individual terms (e.g. y=bx ) to see how they add to generate the polynomial curve.

الموضوع:
علم الجبر
نوع المادة:
محاكاة
Provider:
Provider Set:
المحاكاة التفاعلية لموقع PhET
المؤلف:
Michael Dubson
Mindy Gratny
Patricia Loblein
06/01/2004
Only Sharing Permitted
CC BY-NC-ND
Rating
3.0 stars

This lesson unit is intended to help teachers assess how well students are able to: use the Pythagorean theorem to derive the equation of a circle; and translate between the geometric features of circles and their equations.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Unrestricted Use
CC BY
Rating
3.0 stars

This is a comprehensive math textbook for Grade 11. It can be downloaded, read on-line on a mobile phone, computer or iPad. Every chapter has links to on-line video lessons and explanations. Summary presentations at the end of each chapter offer an overview of the content covered, with key points highlighted for easy revision. Topics covered are: language of mathematics, exponents, surds, error margins, quadratic sequences, finance, quadratic equations, quadratic inequalities, simultaneous equations, mathematical models, quadratic functions and graphs, hyperbolic functions and graphs, exponential functions and graphs, gradient at point, linear programming, geometry, trigonometry, statistics, independent variables, dependent events. This book is based upon the original Free High School Science Text series.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Siyavula
04/12/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0,0 stars

This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single variable equations) and motivation to learn basic complex arithmetic. Ms. Zager has included a complete introductory tutorial on complex arithmetic with homework assignments downloadable here. Also downloadable are some supplemental challenge problems. Time required to complete the core lesson is approximately one hour, and materials needed include a blackboard/whiteboard as well as space for students to work in small groups. During the in-class portions of this interactive lesson, students will brainstorm on the outcome of the chaos game and practice calculating trajectories of different equations.

الموضوع:
هندسة الشكل
نوع المادة:
Lecture
Provider:
MIT
Provider Set:
أزهار معهد ماساتشوستس للتكنولوجيا MIT
المؤلف:
Laura Zager
07/12/2014
Only Sharing Permitted
CC BY-NC-ND
Rating
0,0 stars

This lesson unit is intended to help teachers assess how well students are able to: model a periodic situation, the height of a person on a Ferris wheel, using trigonometric functions; and interpret the constants a, b, c in the formula h = a + b cos ct in terms of the physical situation, where h is the height of the person above the ground and t is the elapsed time.

الموضوع:
وظائف
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Unrestricted Use
CC BY
Rating
0,0 stars

In this task students have the opportunity to construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

الموضوع:
الرياضيات
وظائف
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
05/01/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This learning video presents an introduction to the Flaws of Averages using three exciting examples: the ''crossing of the river'' example, the ''cookie'' example, and the ''dance class'' example. Averages are often worthwhile representations of a set of data by a single descriptive number. The objective of this module, however, is to simply point out a few pitfalls that could arise if one is not attentive to details when calculating and interpreting averages. The essential prerequisite knowledge for this video lesson is the ability to calculate an average from a set of numbers. During this video lesson, students will learn about three flaws of averages: (1) The average is not always a good description of the actual situation, (2) The function of the average is not always the same as the average of the function, and (3) The average depends on your perspective. To convey these concepts, the students are presented with the three real world examples mentioned above.

Subject:
Education
Mathematics
Numbers and Operations
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Daniel Livengood
MIT BLOSSOMS
Rhonda Jordan
06/02/2012
Only Sharing Permitted
CC BY-NC-ND
Rating
0,0 stars

This lesson unit is intended to help teachers assess how well students are able to understand what the different algebraic forms of a quadratic function reveal about the properties of its graphical representation. In particular, the lesson will help teachers identify and help students who have the following difficulties: understanding how the factored form of the function can identify a graphŐs roots; understanding how the completed square form of the function can identify a graphŐs maximum or minimum point; and understanding how the standard form of the function can identify a graphŐs intercept.

الموضوع:
علم الجبر
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Unrestricted Use
CC BY
Rating
0,0 stars

The example of rabbits and foxes was introduced in the task (8-F Foxes and Rabbits) to illustrate two functions of time given in a table. We are now in a position to actually model the data given previously with trigonometric functions and investigate the behavior of this predator-prey situation.

الموضوع:
الرياضيات
وظائف
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics