High School Geometry : Solid Geometry for Exceptional Learners
In this rigorous math course, learners will continue geometry by developing their understanding of dilation, area, and volume with three dimensional shapes.
Malikai Bass M.A
Average rating:
5.0
Number of reviews:(324)
Popular
What's included
20 live meetings
16 hrs 40 mins in-class hoursProjects
1 hour per week. Students will complete a modeling project in which they create a mathematical model to understand and propose a solution to a real world problem.Assessment
We will end the unit with a mastery assessment.Class Experience
US Grade 9 - 11
Advanced Level
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.
Learning Goals
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.
Syllabus
Curriculum
Follows Teacher-Created CurriculumStandards
Aligned with Common Core State Standards (CCSS)20 Lessons
over 4 WeeksLesson 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 mins online live lesson
Lesson 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 mins online live lesson
Lesson 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 mins online live lesson
Lesson 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 mins online live lesson
Other Details
Learning Needs
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
Parental Guidance
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.
Pre-Requisites
Learners should have completed Algebra 1 and be familiar with the basic ideas of geometry.
Supply List
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.
External Resources
In addition to the Outschool classroom, this class uses:
Sources
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.
Joined April, 2021
5.0
324reviews
Popular
Teacher expertise and credentials
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:
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Reviews
Live Group Course
$80
weekly or $320 for 20 classes5x per week, 4 weeks
50 min
Live video meetings
Ages: 12-16
3-6 learners per class
Financial Assistance
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