## Description

- نظرة عامة:
- This lesson unit is intended to help you assess how well students are able to: Interpret a situation and represent the variables mathematically; select appropriate mathematical methods to use; explore the effects on the area of a rectangle of systematically varying the dimensions whilst keeping the perimeter constant; interpret and evaluate the data generated and identify the optimum case; and communicate their reasoning clearly.

- مستوى:
- المدرسة الابتدائية القسم الأدنى, المدرسة الابتدائية القسم الأعلى, المدرسة الإعدادية, المدرسة الثانوية
- Grades:
- رياض الأطفال, الصف الأول, الصف الثاني, الصف الثالث, الصف الرابع, الصف الخامس, الصف السادس, الصف السابع, الصف الثامن, الصف التاسع, الصف العاشر, الصف الحادي عشر, الصف الثاني عشر
- نوع المادة:
- التقييم, Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- Provider Set:
- Mathematics Assessment Project (MAP)
- Date Added:
- 04/26/2013

- الرخصة:
- Creative Commons Attribution Non-Commercial No Derivatives
- صيغة الوسائط:
- مستندات قابلة للتنزيل, نص/لغة رقم النص الفائق HTML

# تعليقات

## Standards

المجموعة: Draw, construct, and describe geometrical figures and describe the relationships between them.

مستوى: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

درجة المواءمة: 1 محدود (عدد المستخدمين: 1)

المجموعة: Draw, construct, and describe geometrical figures and describe the relationships between them.

مستوى: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

المجموعة: Draw, construct, and describe geometrical figures and describe the relationships between them.

مستوى: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

المجموعة: Mathematical practices

مستوى: Construct viable arguments and critique the reasoning of others. Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and—if there is a flaw in an argument—explain what it is. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. Later, students learn to determine domains to which an argument applies. Students at all grades can listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

المجموعة: Mathematical practices

مستوى: Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, “Does this make sense?” They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

المجموعة: Mathematical practices

مستوى: Model with mathematics. Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

المجموعة: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

مستوى: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

المجموعة: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

مستوى: Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

المجموعة: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

مستوى: Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

حقل التعلم: الممارسات الرياضية

مستوى: Mathematical practices

Indicator: Model with mathematics. Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

حقل التعلم: هندسة الشكل

مستوى: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

Indicator: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

حقل التعلم: هندسة الشكل

مستوى: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

Indicator: Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

حقل التعلم: هندسة الشكل

مستوى: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

Indicator: Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

حقل التعلم: هندسة الشكل

مستوى: Draw, construct, and describe geometrical figures and describe the relationships between them.

Indicator: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

حقل التعلم: هندسة الشكل

مستوى: Draw, construct, and describe geometrical figures and describe the relationships between them.

Indicator: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

حقل التعلم: هندسة الشكل

مستوى: Draw, construct, and describe geometrical figures and describe the relationships between them.

Indicator: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

حقل التعلم: الممارسات الرياضية

مستوى: Mathematical practices

Indicator: Construct viable arguments and critique the reasoning of others. Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and"Óif there is a flaw in an argument"Óexplain what it is. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. Later, students learn to determine domains to which an argument applies. Students at all grades can listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

حقل التعلم: الممارسات الرياضية

مستوى: Mathematical practices

Indicator: Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?"ť They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.

درجة المواءمة: غير مُقيَّم (عدد المستخدمين: 0)

## Evaluations

# Achieve OER

Average Score (3 Points Possible)درجة المواءمة | 1 (عدد المُقَيِّمين: 1) |

جودة شرح الموضوع | 2 (عدد المُقَيِّمين: 1) |

فائدة المواد المصممة لدعم التعليم | 3 (عدد المُقَيِّمين: 1) |

جودة التقييمات | غير متاح |

جودة التفاعل التكنولوجي | غير متاح |

جودة التمارين التدريسية وتمارين الممارسة | غير متاح |

فرص للتعلم على نحو أعمق | غير متاح |

# وسوم (10)

- Mathematics
- Area
- CCSS
- Common Core Math
- Common Core PD
- الهندسة
- نمذجة الرياضيات
- ODE Learning
- LIU12-MTSSUniversalMath
- Adult Literacy Math

Gold Rush: Lesson provides formative assessment tools to determine students' interpretation of situation and algebraic representation. Student explore the effects on the area of a rectangle of systematically varying dimensions while maintaining a constant perimeter.