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A-CED Regular Tessellations of the plane
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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
Date Added:
01/21/2013
قطعان الحيوانات
Conditions of Use:
بلا تقييدات
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في هذه المهمة يكون على الطلاب تفسير تعبيرات تنطوي على اثنين من المتغيرات في سياق وضع العالم الحقيقي. يمكن تفسير جميع أشكال التعبير على أنها الكميات التي يمكن للمرء أن يدرسها عند البحث في اثنين من قطعان الحيوانات.

الموضوع:
الرياضيات
علم الجبر
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
Ant and Elephant
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In this problem students are comparing a very small quantity with a very large quantity using the metric system. The metric system is especially convenient when comparing measurements using scientific notations since different units within the system are related by powers of ten.

الموضوع:
الرياضيات
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
Ants versus humans
Conditions of 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.

الموضوع:
الرياضيات
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
08/21/2012
درس الفن، الفئة 1
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مهمة خلط الطلاء هذه تتطلب من الطلاب تسجيل النسب في نظام الإحداثيات. انها لغة قياسية في مسائل النسب.

الموضوع:
الرياضيات
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
درس الفن، الفئة 2
Conditions of Use:
بلا تقييدات
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مهمة خلط الطلاء هذه تتطلب من الطلاب تسجيل النسب في نظام الإحداثيات. انها لغة قياسية في مسائل النسب.

الموضوع:
الرياضيات
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
Bacteria Populations
Conditions of Use:
No Strings Attached
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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.

Subject:
Mathematics
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
الحساب المصرفي
Conditions of Use:
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هذه مهمة حقيقية تتطلب من الطلاب الإجابة عن أسئلة حول معادلاتٍ لحساب الفائدة المركبة.

الموضوع:
الرياضيات
علم الجبر
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
ضربة مركبة في لعبة البلياردو (حيث تضرب الكرة في أحد الجوانب ثم تدخل في الجيب)
Conditions of Use:
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هذه المهمة تتطلب من الطلاب استخدام التشابه لحل المشكلة في السياق الذي سيكون مألوفا للكثيرين، على الرغم من أن معظم الطلاب اعتادوا على استخدام الحدس بدلا من التفكير الهندسي لاعداد اللقطة التصويرية.

الموضوع:
الرياضيات
هندسة الشكل
علم المثلثات
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
08/21/2012
Bernardo and Sylvia Play a Game
Conditions of Use:
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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
Date Added:
10/21/2013
Braking Distance
Conditions of Use:
No Strings Attached
Rating

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.

Subject:
Mathematics
Algebra
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
شراء القهوة
Conditions of Use:
بلا تقييدات
Rating

من الملائم في هذه مهمة استخدام الطلبة للتكنولوجيا كالآلة الحاسبة البيانية أو حزمة من البرامج الرياضية المجانية، مما يجعل منها أدوات مفيدةً للطلاب للانخراط في معيار رقم 5 في تعليم الرياضيات باستخدام الأدوات المناسبة استراتيجيًا.

الموضوع:
الرياضيات
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
Calories in a sports drink
Conditions of Use:
بلا تقييدات
Rating

This problem involves the meaning of numbers found on labels. When the level of accuracy is not given we need to make assumptions based on how the information is reported. The goal of the task is to stimulate a conversation about rounding and about how to record numbers with an appropriate level of accuracy, tying in directly to the standard N-Q.3. It is therefore better suited for instruction than for assessment purposes.

الموضوع:
الرياضيات
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
01/05/2013
Cell Phone Plans
Conditions of Use:
بلا تقييدات
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This task presents a real-world problem requiring the students to write linear equations to model different cell phone plans. Looking at the graphs of the lines in the context of the cell phone plans allows the students to connect the meaning of the intersection points of two lines with the simultaneous solution of two linear equations.

الموضوع:
الرياضيات
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
Chess Club
Conditions of Use:
بلا تقييدات
Rating

This problem includes a percent increase in one part with a percent decrease in the remaining and asks students to find the overall percent change. The problem may be solved using proportions or by reasoning through the computations or writing a set of equations.

الموضوع:
الرياضيات
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
Chocolate Bar Sales
Conditions of Use:
بلا تقييدات
Rating

In this task students use different representations to analyze the relationship between two quantities and to solve a real world problem. The situation presented provides a good opportunity to make connections between the information provided by tables, graphs and equations.

الموضوع:
الرياضيات
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
08/08/2012