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المعادلات والمتباينات والمقادير الجبرية
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قراءة النص المطبوع بخط رفيع
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يدور هذا الدرس حول محاولة جعل الطلاب يقيمون روابط بين الأفكار عن المعادلات والمتباينات والمقادير الجبرية. علماً بأن الدرس مصمم ليمنح الطلاب فرص استخدام المفردات الرياضية لغرض الوصف والمناقشة والعمل مع سلاسل الرموز هذه. وتهدف الفكرة إلى بدء الطلاب في تحصيل المعلومة الشاملة بالنظر إلى كامل سلسلة الأعداد بدلاً من التفكير فقط في إجراءات أو خطوات فردية. ومن المأمول أن يبدأ الطلاب في رؤية سلاسل الرموز كأغراض رياضية لها مجموعتها الفريدة من الصفات الخاصة بها. (رياضيات الصف السابع)

نوع المادة:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
في قلب الرياضيات
المؤلف:
Disston, Jacob
Date Added:
11/30/2011
المساحة والمحيط
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قراءة النص المطبوع بخط رفيع
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يستند هذا الدرس على نتائج مهمة الأداء الذي أدركنا منه أن فهم الطلاب للمساحة والمحيط كانت معظمها إجرائية. لذلك كان الغرض من هذا الدرس إعادة الانخراط لمعالجة المفاهيم الخاطئة لدى الطالب وتعميق فهم الطلاب للمساحة والمحيط. ان المعايير التي تم تناولها في هذا الدرس تنطوي على إيجاد محيط ومساحة الأشكال المختلفة، وإيجاد المحيط عند إعطاء مساحة ثابتة، واستخدام الصيغة في سياق عملي. وشملت التحديات التي تواجه طلابنا فك رموز اللغة في المشكلة واثبات طريقة تفكيرهم. (الصف 7 الرياضيات)

نوع المادة:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
في قلب الرياضيات
المؤلف:
Villarin, Antoinette
Date Added:
11/30/2011
Busy Day
Conditions of Use:
No Strings Attached
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This task provides a good entry point for students into representing quantities in contexts with variables and expressions and building equations that reflect the relationships presented in the context.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/15/2012
Chocolate Bar Sales
Conditions of Use:
No Strings Attached
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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.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/08/2012
Comparing Linear Functions
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قراءة النص المطبوع بخط رفيع
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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)

نوع المادة:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
في قلب الرياضيات
المؤلف:
Dimas, Cecilio
Date Added:
11/30/2011
Discounted Books
Conditions of Use:
No Strings Attached
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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.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Firefighter Allocation
Conditions of Use:
No Strings Attached
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In this task students are asked to write an equation to solve a real-world problem. There are two natural approaches to this task. In the first approach, students have to notice that even though there is one variable, namely the number of firefighters, it is used in two different places. In the other approach, students can find the total cost per firefighter and then write the equation.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Multiple Representations of Numeric Patterning
Conditions of Use:
قراءة النص المطبوع بخط رفيع
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This lesson is a re-engagement lesson designed for learners to revisit a problem-solving task they have already experienced. Students will activate prior knowledge of graphical representations through the 'what's my rule' number talk; compare and contrast two different learners' interpretations of the growing pattern; use multiple representations to demonstrate how one of these learners would represent the numeric pattern; make connections between the different representations to more critically compare the two interpretations. (5th/6th Grade Math)

نوع المادة:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
في قلب الرياضيات
المؤلف:
Dickinson, Fran
Date Added:
11/30/2011
Properties of Quadrilaterals
Conditions of Use:
Read the Fine Print
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This lesson is about properties of quadrilaterals and learning to investigate, formulate, conjecture, justify, and ultimately prove mathematical theorems. Students will: Analyze characteristics and properties of two- and three-dimensional geometric shapes; develop mathematical arguments about geometric relationships; and apply appropriate techniques, tools, and formulas to determine measurements.Explore relationships among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. Employ forms of mathematical reasoning and proof appropriate to the solution of the problem at hand, including deductive and inductive reasoning, making and testing conjectures, and using counter examples and indirect proof. Identify, formulate and confirm conjectures. Establish the validity of geometric conjectures using deduction, prove theorems, and critique arguments made by others. (9th/10th Grade Math)

Material Type:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
Inside Mathematics
Author:
Humphreys, Cathy
Date Added:
11/30/2011
Proportions and Ratios
Conditions of Use:
Read the Fine Print
Rating

This lesson is about ratios and proportions using candy boxes as well as a recipe for making candy as situations to be considered. It addresses many Mathematical Reasoning standards and asks students to: Use models to understand fractions and to solve ratio problems; think about a ratio as part/part model and to think about the pattern growing in equal groups or a unit composed of the sum of the parts; find a scale factor and apply it to a ratio. (5th Grade Math)

Material Type:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
Inside Mathematics
Author:
Lewis-Wolfsen, Hillary
Date Added:
11/30/2011
Quadratic Functions
Conditions of Use:
Read the Fine Print
Rating

This lesson focuses on students making decisions about what tools to apply to solve different problems related to quadratic expressions and equations. It is also intended to build awareness of the form an answer will take in order to help students make sense of the kind of problem they are solving. (9th/10th/11th Grade Math)

Material Type:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
Inside Mathematics
Author:
Shreve, Barbara
Date Added:
11/30/2011
Sports Equipment Set
Conditions of Use:
No Strings Attached
Rating

The purpose of this task is to present students with a context that can naturally be represented with an inequality and to explore the relationship between the context and the mathematical representation of that context; thus, this is an intended as an instructional task.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/10/2012
Stock Swaps, Variation 3
Conditions of Use:
No Strings Attached
Rating

This is a multi-step problem since it requires more than two steps no matter how it is solved. The problem is not scaffolded for the student, but each step is straightforward and should follow from the previous with a careful reading of the problem.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012