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تمثيل ثنائي الأبعاد للأجسام ثلاثية الأبعاد

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تمثيل ثنائي الأبعاد للأجسام ثلاثية الأبعاد

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يهدف هذا الدرس إلى مساعدة المعلمين على تقييم مدى نجاح الطلاب في تصوِّر المقاطع العرضية ثنائية الأبعاد الممثلة في الكائنات ثلاثية الأبعاد. يساعدك الدرس خصوصًا على تحديد الطلاب الذين يعانون من صعوبات في ادراك المقاطع العرضية ثنائية الأبعاد على طول النقاط المختلفة على مسطح ممثل في جسم ثلاثي الأبعاد ورسمها ومساعدة أولئك الطلاب.

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

تحليل براهين التطابق

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تحليل براهين التطابق

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يهدف هذا الدرس لمساعدة المعلمين على تقييم مدى نجاح الطلاب في: العمل مع مفاهيم التطابق والتشابه، بما في ذلك تحديد الأضلاع المتناظرة والزوايا المتطابقة في المثلثات وبينها؛ وتحديد أهمية وجود المثال المضاد وفهمها؛ اثبات البراهين في سياق هندسي و تقييمها.

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

تطبيق نظريات الزوايا

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تطبيق نظريات الزوايا

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يهدف هذا الدرس لمساعدتك في تقييم مدى نجاح الطلاب باستخدام الخصائص الهندسية من أجل حل المشاكل. على وجه الخصوص، سوف تدعمكم في تحديد ومساعدة الطلاب الذين لديهم الصعوبات التالية: حل المشاكل المتعلقة باستخدام قياسات الزوايا الداخلية للمضلعات؛ وحل المشاكل المتعلقة باستخدام قياسات الزوايا الخارجية للمضلعات.

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

إنشاء المعادلات وحلها 1

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إنشاء المعادلات وحلها 1

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يهدف هذا الدرس لمساعدة المعلمين على تقييم مدى نجاح الطلاب في إنشاء المعادلات الخطية وحلها. على وجه الخصوص، يساعدك الدرس على تحديد الطلاب الذين لديهم الصعوبات الآتية ومساعدتهم: حل عادلات بمتغير واحد وحل المعادلات الخطية بأكثر من طريقة واحدة.

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

Calculating Volumes of Compound Objects

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Calculating Volumes of Compound Objects

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This lesson unit is intended to help teahcers assess how well students solve problems involving measurement, and in particular, to identify and help students who have the following difficulties; computing measurements using formulas; decomposing compound shapes into simpler ones; using right triangles and their properties to solve real-world problems.

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

Classifying Solutions to Systems of Equations

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Classifying Solutions to Systems of Equations

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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.

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

Comparing Investments

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Comparing Investments

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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)
Date Added:: 04/26/2013

تحديد المقاطع باستخدام المتباينات

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تحديد المقاطع باستخدام المتباينات

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This lesson unit is intended to help teachers assess how well students are able to use linear inequalities to create a set of solutions. In particular, the lesson will help teachers identify and assist students who have difficulties in: representing a constraint by shading the correct side of the inequality line; and understanding how combining inequalities affects a solution space.

نوع المادة:: التقييم; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Designing: Candy Cartons

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Designing: Candy Cartons

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This lesson unit is intended to help teachers assess how well students are able to: Select appropriate mathematical methods to use for an unstructured problem; interpret a problem situation, identifying constraints and variables, and specify assumptions; work with 2- and 3-dimensional shapes to solve a problem involving capacity and surface area; 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)
Date Added:: 04/26/2013

تنمية الحس بالمقياس

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تنمية الحس بالمقياس

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This lesson unit is intended to help you assess whether students recognize relationships of direct proportion and how well they solve problems that involve proportional reasoning. In particular, it is intended to help you identify those students who: use inappropriate additive strategies in scaling problems, which have a multiplicative structure; rely on piecemeal and inefficient strategies such as doubling, halving, and decomposition, and have not developed a single multiplier strategy for solving proportionality problems; and see multiplication as making numbers bigger, and division as making numbers smaller.

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

ابتكار مقياس للارتباط

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ابتكار مقياس للارتباط

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This lesson unit is intended to help teachers assess how well students understand the notion of correlation. In particular this unit aims to identify and help students who have difficulty in: understanding correlation as the degree of fit between two variables; making a mathematical model of a situation; testing and improving the model; communicating their reasoning clearly; and evaluating alternative models of the situation.

نوع المادة:: التقييم; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Drawing to Scale: Designing a Garden

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Drawing to Scale: Designing a Garden

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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.

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

معادلات الدوائر 1

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معادلات الدوائر 1

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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.

نوع المادة:: التقييم; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

معادلات الدوائر 2

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معادلات الدوائر 2

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

نوع المادة:: التقييم; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

التقدير: عد الأشجار

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التقدير: عد الأشجار

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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.

نوع المادة:: التقييم; ملاحظات المحاضرة; Lesson Plan; Teaching/Learning Strategy
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP)
المؤلف:: http://map.mathshell.org/
Date Added:: 04/26/2013

تقدير الطول باستخدام التدوين العلمي

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تقدير الطول باستخدام التدوين العلمي

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This lesson unit is intended to help teachers assess how well students are able to: estimate lengths of everyday objects; convert between decimal and scientific notation; and make comparisons of the size of numbers expressed in both decimal and scientific notation.

نوع المادة:: التقييم; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Estimations and Approximations: The Money Munchers

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Estimations and Approximations: The Money Munchers

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This lesson unit is intended to help you assess how well students are able to: Model a situation; make sensible, realistic assumptions and estimates; and use assumptions and estimates to create a chain of reasoning, in order to solve a practical problem.

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

Evaluating Statements About Enlargements (2D and 3D)

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Evaluating Statements About Enlargements (2D and 3D)

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This lesson unit is intended to help teachers assess how well students are able to solve problems involving area and volume, and in particular, to help you identify and assist students who have difficulties with the following: computing perimeters, areas and volumes using formulas; and finding the relationships between perimeters, areas, and volumes of shapes after scaling.

نوع المادة:: التقييم; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Evaluating Statements About Length and Area

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Evaluating Statements About Length and Area

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This lesson unit is intended to help teachers assess how well students can: Understand the concepts of length and area; use the concept of area in proving why two areas are or are not equal; and construct their own examples and counterexamples to help justify or refute conjectures.

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

تقييم العبارات حول الاحتمال (الأرجحية)

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تقييم العبارات حول الاحتمال (الأرجحية)

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This lesson unit addresses common misconceptions relating to probability of simple and compound events. The lesson will help you assess how well students understand concepts of: Equally likely events; randomness; and sample sizes.

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