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  • Measurement and Data
Angle Hunting
Conditions of Use:
يمكن إعادة ترتيب المحتوى ومشاركته
Rating

In this activity, learners use a hand-made protractor to measure angles they find in playground equipment. Learners will observe that angle measurements do not change with distance, because they are distance invariant, or constant. Note: The "Pocket Protractor" activity should be done ahead as a separate activity (see related resource), but a standard protractor can be used as a substitute.

نوع المادة:
Activity/Lab
Provider:
متحف Exploratorium لدعم التعليم
المؤلف:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
تجربة العصا المكسورة: المثلثات والأعداد العشوائية والاحتمالات
Conditions of Use:
يمكن إعادة ترتيب المحتوى ومشاركته
Rating

هذا الفيديو التعليمي مصمم لتطوير التفكير المكثف بداخل الطلاب من خلال تشجيعهم على العمل بالمبادئ الأساسية لحل مسألة رياضية ملغزة تحوي مبدأ الريبة. علماً بأن أمثلة المواد الخاصة بالأنشطة داخل الفصل، تشمل: عصا قياس، متر قياس أو فرع مستقيم من شجرة؛ منشار أو ما شابه لقطع العصا؛ سبورة أو ما شابه. وفي هذا الفيديو التعليمي، سيتعلم الطلاب خلال جلسات الفصل الممتدة بين مقاطع الفيديو، ما يلي من بين أشياء أخرى: 1) كيفية توليد أعداد عشوائية؛ 2) كيفية التعامل مع الاحتمالات؛ 3) كيفية بناء ورسم أجزاء المستوى س-ص الذي يوافق المتباينة الخطية.

نوع المادة:
Lecture
Provider:
MIT
Provider Set:
أزهار معهد ماساتشوستس للتكنولوجيا MIT
المؤلف:
Richard C. Larson
Date Added:
10/31/2014
Comparing Investments
Rating

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.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Estimating: Counting Trees
Rating

This lesson unit is intended to help you assess how well students are able to: solve simple problems involving ratio and direct proportion; choose an appropriate sampling method; and collect discrete data and record them using a frequency table.

Material Type:
Assessment
Lecture Notes
Lesson Plan
Teaching/Learning Strategy
Provider:
Florida Center for Research in Science, Technology, Engineering, and Mathematics
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
iCPALMS: A Standards-based K-12 Resources and Tools Pathway
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Author:
http://map.mathshell.org/
Date Added:
04/26/2013
Exploring Tessellations (Grades 6-8)
Conditions of Use:
يمكن إعادة ترتيب المحتوى ومشاركته
Rating

In this activity, learners design unique tiles and make repeating patterns to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle. This lesson features three investigations, in which learners make tessellations by translating, rotating, and reflecting the patterns.

نوع المادة:
Activity/Lab
Provider:
متحف Exploratorium لدعم التعليم
المؤلف:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
أنماط التعميم: فعالية بلاط الطاولة
Rating

This lesson unit is intended to help teachers assess how well students are able to identify linear and quadratic relationships in a realistic context: the number of tiles of different types that are needed for a range of square tabletops. In particular, this unit aims to identify and help students who have difficulties with: choosing an appropriate, systematic way to collect and organize data; examining the data and looking for patterns; finding invariance and covariance in the numbers of different types of tile; generalizing using numerical, geometrical or algebraic structure; and describing and explaining findings clearly and effectively.

نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Generalizing Patterns: The Difference of Two Squares
Rating

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.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Making a Translation Tessellation
Conditions of Use:
يمكن إعادة ترتيب المحتوى ومشاركته
Rating

In this activity, learners slide shapes to create unusual tiled patterns. Learners transform a rectangle into a more interesting shape and then make a tessellation by repeating that shape over and over again. Learners will also calculate the area of a rectangle. This activity works best as a "centers" activity.

نوع المادة:
Activity/Lab
Provider:
متحف Exploratorium لدعم التعليم
المؤلف:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Modeling: Rolling Cups
Rating

This lesson unit is intended to help teachers assess how well students are able to: choose appropriate mathematics to solve a non-routine problem; generate useful data by systematically controlling variables; and develop experimental and analytical models of a physical situation.

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

This lesson unit is intended to help teachers assess how well students are able to: interpret a situation and represent the constraints and 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 optimum case, checking it for confirmation; and communicate their reasoning clearly.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Playground Patterns of Cracks
Conditions of Use:
يمكن إعادة ترتيب المحتوى ومشاركته
Rating

In this math activity, learners observe and sketch cracking patterns in pavement. Learners use a protractor to measure and label the angles of their sketches and conclude if some angles are more common than others.

نوع المادة:
Activity/Lab
Provider:
متحف Exploratorium لدعم التعليم
المؤلف:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Pythagoras and the Juice Seller
Conditions of Use:
Remix and Share
Rating

This video lesson presents a real world problem that can be solved by using the Pythagorean theorem. The problem faces a juice seller daily. He has equilateral barrels with equal heights and he always tries to empty the juice of two barrels into a third barrel that has a volume equal to the sum of the volumes of the two barrels. This juice seller wants to find a simple way to help him select the right barrel without wasting time, and without any calculations - since he is ignorant of Mathematics. The prerequisite for this lesson includes knowledge of the following: the Pythagorean theorem; calculation of a triangles area knowing the angle between its two sides; cosine rule; calculation of a circle's area; and calculation of the areas and volumes of solids with regular bases.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Ghada Sulaiman Abdullah Marmash
Date Added:
06/02/2012
Representing Data 1: Using Frequency Graphs
Rating

This lesson unit is intended to help teachers assess how well students: are able to use frequency graphs to identify a range of measures and make sense of this data in a real-world context; and understand that a large number of data points allow a frequency graph to be approximated by a continuous distribution.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Representing Data 2: Using Box Plots
Rating

This lesson unit is intended to help teachers assess how well students are able to interpret data using frequency graphs and box plots. In particular this unit aims to identify and help students who have difficulty figuring out the data points and spread of data from frequency graphs and box plots. It is advisable to use the lesson: Representing Data 1: Frequency Graphs, before this one.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Scaling Cubes
Conditions of Use:
يمكن إعادة ترتيب المحتوى ومشاركته
Rating

In this activity, learners explore scale by using building cubes to see how changing the length, width, and height of a three-dimensional object affects its surface area and its volume. Learners build bigger and bigger cubes to understand these scaling relationships.

نوع المادة:
Activity/Lab
Provider:
متحف Exploratorium لدعم التعليم
المؤلف:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Taking Walks, Delivering Mail: An Introduction to Graph Theory
Conditions of Use:
Remix and Share
Rating

This learning video presents an introduction to graph theory through two fun, puzzle-like problems: ''The Seven Bridges of Konigsberg'' and ''The Chinese Postman Problem''. Any high school student in a college-preparatory math class should be able to participate in this lesson. Materials needed include: pen and paper for the students; if possible, printed-out copies of the graphs and image that are used in the module; and a blackboard or equivalent. During this video lesson, students will learn graph theory by finding a route through a city/town/village without crossing the same path twice. They will also learn to determine the length of the shortest route that covers all the roads in a city/town/village. To achieve these two learning objectives, they will use nodes and arcs to create a graph and represent a real problem.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
BLOSSOMS
Karima R. Nigmatulina
Date Added:
06/02/2012
Walking Polygons
Conditions of Use:
يمكن إعادة ترتيب المحتوى ومشاركته
Rating

In this activity, learners walk the sides and interior angles of various polygons drawn on the playground. As they do so, learners practice rotating clockwise 180 and 360 degrees. Learners discover there is a pattern to the sum of the interior angles of any polygon.

نوع المادة:
Activity/Lab
Provider:
متحف Exploratorium لدعم التعليم
المؤلف:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010