Geometry: Constructions and Rigid Transformations for Exceptional Learners
In this rigorous math course, learners will begin geometry by exploring geometric properties using straight edge and compass constructions, formally defining rigid transformations, and building proofs using point-by-point analysis.
Malikai Bass M.A
Average rating:
5.0
Number of reviews:(316)
Popular
What's included
30 live meetings
25 in-class hoursAssessment
Students will complete two modeling projects and complete a mid and end of unit assessment.Grading
Written grade feedback available upon request.Class Experience
US Grade 9 - 11
Intermediate Level
This is the first 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 explore geometric properties using constructions and build conjectures. We will formally define rigid transformations and work on shifting towards a point-by-point analysis which does not require a grid. We will prove statements involving angles and distances and explore proof writing.
Learning Goals
HSG.CO.A.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Syllabus
Standards
Aligned with Common Core State Standards (CCSS)3 Units
30 Lessons
over 6 WeeksUnit 1: Constructions
Lesson 1:
Readiness Assessment
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:
Build It
We will begin working with compass and straight edges and expand on our understanding of circles and line segments. We will begin working with symbolic notations. 50 mins online live lesson
Lesson 3:
Constructing Patterns
We will practice writing and following instructions regarding straightedge and compass moves as we build designs and practice constructions for parallel designs. 50 mins online live lesson
Lesson 4:
Construction Techniques 1: Perpendicular Bisectors
We will understand the perpendicular bisector of a segment as a perpendicular line passing through the midpoint and understand distance without numbers. We will introduce the idea of a conjecture. 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. Students will also need to use a compass.
Pre-Requisites
Learners should have completed Algebra 1
Joined April, 2021
5.0
316reviews
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 $480 for 30 classes5x per week, 6 weeks
50 min
Completed by 6 learners
Live video meetings
Ages: 12-15
3-6 learners per class
