This lesson unit is intended to help teachers assess how well students are able to visualize two-dimensional cross-sections of representations of three-dimensional objects. In particular, the lesson will help you identify and help students who have difficulties recognizing and drawing two-dimensional cross-sections at different points along a plane of a representation of a three-dimensional object.
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This Demonstration illustrates the concept of rotating a 2D polygon. The rotation matrix is displayed for the current angle. The default polygon is a square that you can modify.
An interactive applet and associated web page that shows how triangles that have two angles and a non-included side the same must be congruent. The applet shows two triangles, one of which can be reshaped by dragging any vertex. The other changes to remain congruent to it and the two angles and non-included side are outlined in bold to show they are the same measure and are the elements being used to prove congruence. The web page describes all this and has links to other related pages. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
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.
This lesson unit is intended to help teachers assess how well students are able to: work with concepts of congruency and similarity, including identifying corresponding sides and corresponding angles within and between triangles; Identify and understand the significance of a counter-example; Prove, and evaluate proofs in a geometric context.
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.
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.
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.
We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.).Differentiation is also used in analysis of finance and economics.
This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, it will support you in identifying and helping students who have the following difficulties: Solving problems relating to using the measures of the interior angles of polygons; and solving problems relating to using the measures of the exterior angles of polygons.
هذا الفيديو التعليمي يتعامل مع مسألة الاحتمالية الهندسية. الفكرة الرئيسية المعروضة هي حقيقة أن المعادلة الخطية للأبعاد الثلاثة تنتج الطائرة. يركز الفيديو على مثلثات عشوائية يتم تحديدها من خلال زواياها الثلاث الخاصة بها. يتم اختيار هذه الزوايا عشوائيا رهنا لحتمية وصول مجموعها الى 180 درجة. من الأمثلة على أنواع الأنشطة المتاحة داخل الصف أثناء فترة ما بين مقاطع الفيديو هي: اسأل ستة طلاب عن أرقام واجعل هذه الأرقام إحداثيات x,y لثلاث نقاط. ثم اطلب من الفصل محاولة معرفة كيفية تحديد ما إذا كان المثلث في تلك الزوايا حاد أو منفرج.
This lesson is based on the results of a performance task in which we realized that students' understanding of area and perimeter was mostly procedural. Therefore the purpose of this re-engagement lesson was to address student misconceptions and deepen student understanding of area and perimeter. The standards addressed in this lesson involve finding perimeter and area of various shapes, finding the perimeter when given a fixed area, and using a formula in a practical context. Challenges for our students included decoding the language in the problem and proving their thinking. (7th Grade Math)
Brush up on your multiplication, division, and factoring skills with this interactive multiplication chart. Three levels and timed or untimed options are available.
The purpose of this learning video is to show students how to think more freely about math and science problems. Sometimes getting an approximate answer in a much shorter period of time is well worth the time saved. This video explores techniques for making quick, back-of-the-envelope approximations that are not only surprisingly accurate, but are also illuminating for building intuition in understanding science. This video touches upon 10th-grade level Algebra I and first-year high school physics, but the concepts covered (velocity, distance, mass, etc) are basic enough that science-oriented younger students would understand. If desired, teachers may bring in pendula of various lengths, weights to hang, and a stopwatch to measure period. Examples of in- class exercises for between the video segments include: asking students to estimate 29 x 31 without a calculator or paper and pencil; and asking students how close they can get to a black hole without getting sucked in.
ان الغرض من هذا الفيديو التعليمي هو إظهار الطلاب لكيفية التفكير بحرية أكبر حول مشاكل الرياضيات والعلوم. ان الحصول في بعض الأحيان على إجابة تقريبية في فترة أقصرهو أمر يستحق الوقت الموفر. يستكشف هذا الفيديو تقنيات لصنع خلفيات تقريبية سريعة للمغلف الذي ليس فقط مستغرب من جهة الدقة، ولكنه أيضا منيرا لبناء الحدس في فهم العلم. يقترب هذا الفيديو من مستوى الصف العاشرالخاص بالجبر 1 ومن مستوى الفيزياء للعام الأول الثانوي، ولكن المفاهيم المتضمنة به (السرعة، المسافة، الكتلة، إلخ) هي أساسية بما يكفي لأن يستوعبها طلاب العلوم الأصغر سنا. إذا رغبت، بامكان المدرسين جلب بندول الساعة من مختلف الأطوال , الأوزان لتعليقه, و ساعة وقت لقياس الفترة. تتضمن الأمثلة على التمارين التي تمارس في الفصل فيما بين مقاطع الفيديو: سؤال الطلاب لتقدير 29 × 31 دون آلة حاسبة أو ورقة وقلم رصاص؛ وسؤال الطلاب عن ما مدى امكانية وصولهم الى الثقب الأسود بدون الانزلاق بداخله.
The ASPIRE Lab is now one of the most innovative and interactive science education websites available on the Internet. You will find not only fun interactive labs, but well designed and produced curriculum content, created by teachers for teachers. The powerful combination of inquiry-based content, along with interactive, hands-on labs provides a powerful visualization tool for you and your students to use. Best of all, the ASPIRE Lab is free!
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.
Experiment with a helium balloon, a hot air balloon, or a rigid sphere filled with different gases. Discover what makes some balloons float and others sink.
This task asks students to use similarity to solve a problem in a context that will be familiar to many, though most students are accustomed to using intuition rather than geometric reasoning to set up the shot.
This activity explores the main algorithms that are used as the basis for searching on computers, using different variations on the game of battleships. This activity demonstrates three search methods for finding information in data: linear searching, binary searching and hashing. It also includes an optional introductory activity as well as a video showing a fun demonstration related to the same content.
- Computer Science
- Material Type:
- Lesson Plan
- Computer Science Unplugged
- Science and Math Informal Learning Educators (SMILE)
- Provider Set:
- Computer Science Unplugged
- SMILE Pathway: Science and Math Activities in One Search
- Brian Mason Scientific and Technical Trust
- Computer Science Unplugged
- Google Inc.
- Ian Witten
- Jane McKenzie
- Mike Fellows
- Robyn Adams
- Tim Bell
- Date Added: