高中幾何：優秀學習者的立體幾何
在這門嚴格的數學課程中，學習者將透過加深對三維形狀的膨脹、面積和體積的理解來繼續幾何學。
Malikai Bass M.A
平均評分：
5.0
評論數量：(324)
熱門課程
包含什麼
20 現場會議
16 小時 40 分鐘 上課時間項目
每週 1 小時. Students will complete a modeling project in which they create a mathematical model to understand and propose a solution to a real world problem.評估
We will end the unit with a mastery assessment.我們無法翻譯此文，請刷新頁面並再試一次。
課堂經歷
英語程度 - B2+
美國 9 - 11 年級
Advanced 等級
This is the second course in a year-long sequence which covers standards and ideas in Geometry. These courses are taught in small-groups to provide individual instruction and social-learning opportunities aligned with a social constructionist or situated cognition view of learning. The curriculum is problem-based this means instead of lectures or videos students work together as a small group to solve problems to discover principles and strategies with teacher guidance, as necessary. Therefore, we will spend approximately 90% of each class period working on problems and discussing them as a group. The use of discussion and problem-solving leads to generalized mathematics or proofs and students will construct their own models or proofs of real-world scenarios in project based assignments. This process prepares students well who may seek advanced mathematics in high-school or beyond. In this unit, we will practice spatial visualization in three dimensions, study the effect of dilation on area and volume, derive volume formulas using dissection arguments and Cavalieri’s Principle, and apply volume formulas to solve problems involving surface area to volume ratios, density, cube roots, and square roots. For more detail of what will be covered in this course, please view the detailed syllabus for a day by day breakdown.
學習目標
G-GMD.1
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.G-GMD.3
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
教學大綱
課程
遵循 Teacher-Created 課程標準
與 Common Core State Standards (CCSS)對齊20 課程
超過 4 週課 1:
Unit Readiness
We will complete a quick readiness check to introduce unit topics and allow for increased individualization with catered support and enrichment activities throughout the unit. 50 分鐘線上直播課
課 2:
Solids of Rotation
We will visualize solids of rotation created from rotating two-dimensional figures using an axis of rotation. We will use these skills later when solving volume problems but will also be applicable to calculus and linear algebra later on. 50 分鐘線上直播課
課 3:
Slicing Solids
We will revisit what we understand about slices and refresh our geometry vocabulary from middle school and analyze cross sections and use them to identify three-dimensional solids. 50 分鐘線上直播課
課 4:
Creating Cross Sections by Dilating
We will connect our work with dilations from earlier units to our understanding of cross-sections and three dimensional shapes to learn that given a pyramid’s base, its cross sections are dilations of the base with scale factors between 0 and 1. 50 分鐘線上直播課
其他詳情
學習需求
This class is designed by an AUDHD/Dyspraxic Educator
- slides and fonts designed to support dyslexia and visual processing
- ability to type and use virtual drawing tools
- communication aids including chat
- ND Affirming classroom
父母的引導和規範
Students will need to use Nearpod. They will need to click a link and enter their first name or initial. No other identifying information will be collected.
先決條件
Learners should have completed Algebra 1 and be familiar with the basic ideas of geometry.
供應清單
Learners will need a way to write/draw to solve problems. This class is best taken using a computer and mouse, but learners might benefit from having a secondary touch screen device in order to be able to screen share math work. Learners will need a teacher provided printable workbook.
外部資源
除了 Outschool 教室外，本課程也使用：
來源
The scope and sequence of this course is based on the open source Illustrative Mathematics curriculum and has been adapted for 2e, neurodiverse, and home-based learners. Illustrated Mathematics is licensed under a creative commons attribution license: https://creativecommons.org/licenses/by/4.0/
Pedagological Resources:
Gravemeijer, K. (2020). A socio-constructivist elaboration of realistic mathematics education. In National reflections on the Netherlands didactics of mathematics (pp. 217-233). Springer, Cham.
Vintere, A. (2018). A constructivist approach to the teaching of mathematics to boost competences needed for sustainable development. Rural Sustainability Research, 39(334), 1-7.
Briscoe, L., & Van Kesteren, J. (2018). THE ART OF MATH. Gazette-Ontario Association for Mathematics, 57(2), 21-24.
已加入 April, 2021
5.0
324評論
熱門課程
教師專業知識和證書
Professional Experience:
I have been a math tutor for over 12 years and have worked with students from ages 5-25 in small group and academic settings including serving as a primary teacher for home educated learners. I have received training and tutoring certification/awards from nationally recognized organizations. I was a group supplemental instruction leader for math at the collegiate level for four years at ETSU including working with dual enrolled and accelerated learners. I have taught and tutored math up to a graduate level in algebra, geometry, probability, and quantitative reasoning.
Academic Experience:
Constructivism and Mathematics, Science, and Technology Education
This graduate level online course for educators used practical examples and empirical research to connect the educational philosophy of constructivism to best practices in STEM education and demonstrated online teaching strategies for this endeavor. It highlighted the power of solving problems through building and applying understandings rather than rote processes which influences the problem-centered curriculum This class also addressed common misconceptions or alternative schemas students develop for math and science prior to instruction and provided ideas for experiments and explorations to adjust these conceptions.
Math 1410 Numbers, Concepts, and Algebra for Math Teachers
This in-person semester long coursed prepared students to teach common core mathematics to students in grades kindergarten through eight including early access to algebra. It included practical teaching experience, ensuring the personal math conceptual fluency of each educator, and demonstrating expertise on the Praxis math exam for educators.
Math 1420: Logic, Problems, and Geometry for Math Teachers
This in-person semester long course prepared teacher candidates to teach common core mathematics to students in grades kindergarten through eighth including advanced ideas of logic, problem solving, and geometry using a constructivist lens.
評論
現場團體課程
US$80
每週或US$320 用於 20 課程每週5次，共 4 週
50 分鐘
即時視訊會議
年齡: 12-16
3-6 每班學員人數
