weekly
or for 20 classes
Geometry: Congruence and Proofs for Exceptional Learners
Completed by 6 learners
Ages 12-15
Live Group Course
Average rating:
5.0
Number of reviews:(332 reviews)
Popular
Live video meetings
5x per week, 4 weeks
2-6 learners per class
50 min
What's included
20 live meetings
16 hrs 40 mins in-class hoursAssignments
1 hour per week. We will end the unit with a mastery assessment.Projects
Students will complete a modeling project in which they create a mathematical model to understand and propose a solution to a real world problem.Progress Report
includedClass Experience
US Grade 8 - 10
Intermediate 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 focus on the relationships between congruent parts of figures and congruent figures themselves. We will utilize transformations as tools for reasoning and making generalizations. Through these transformations, we will prove three theorems about triangle congruence: Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Side-Side-Side (SSS). As we establish these theorems, we will apply them to demonstrate properties of quadrilaterals, isosceles triangles, and other shapes. Finally, we will employ our skills to conjecture and investigate congruences and properties of quadrilaterals.
Learning Goals
CCSS.Math.Content.HSG.CO.B.6: Students will be able to use geometric descriptions of rigid motions to transform figures and predict the effects on these figures, and determine if two figures are congruent by analyzing their transformations.CCSS.Math.Content.HSG.CO.B.7: Students will be able to demonstrate that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent, using the definition of congruence in terms of rigid motions.Syllabus
Curriculum
Follows Teacher-Created CurriculumStandards
Aligned with Common Core State Standards (CCSS)20 Lessons
over 4 WeeksLesson 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:
Congruent Parts, Part 1
We will explore congruent figures and corresponding parts and use them to make conjectures about quadrilaterals based on transforming triangles. 50 mins online live lesson
Lesson 3:
Congruent Parts, Part 2
We will continue to work with corresponding parts and explore using this to disprove congruence between figures. We will also begin our work on establishing congruence shortcuts for triangles. 50 mins online live lesson
Lesson 4:
Congruent Triangles, Part 1
We will work on proofing triangle congruence using transformations based on work in unit one and use this to write proofs. 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.
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, a compass, straight edge, and tracing paper.
Language of Instruction
English (Level: B2+)
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.
Meet the teacher
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:
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.
Reviews
Other classes by Malikai Bass M.A
Other classes by Malikai Bass M.A
Related categories
Parents also liked
Jumpstart Geometry: A Preview of High School Geometry
Tina Dewey, M.Ed, State Certified Math Educator
4.9
(488)
per class
Next session at 2:15 PM on Mon 6/2
Group Class
3 wks, 2/wk, 55 min
13-17
Geometry: Quarter 4
Bethany Kiracofe
5.0
(390)
per class
Next session at 7:30 PM on Thu 3/13
Group Class
9 wks, 2/wk, 1.17 hr
13-18
Second Semester of High School Geometry
Tina Dewey, M.Ed, State Certified Math Educator
4.9
(488)
per class
Next session at 1 PM on Mon 6/2
Group Class
15 wks, 2/wk, 55 min
13-17
Geometry: Quarter 3
Bethany Kiracofe
5.0
(390)
per class
Group Class
9 wks, 2/wk, 1.17 hr
13-18
Geometry: Triangles
Shay Conaty
4.9
(452)
per class
Next session at 11 PM on Monday
Group Class
1 wk, 4/wk, 25 min
11-14
Geometry: Circles
Shay Conaty
4.9
(452)
per class
Next session at 11 PM on Monday
Group Class
1 wk, 2/wk, 25 min
12-14
High School Geometry (Full Course)
Brian McNair
4.9
(291)
per class
Next session at 10 PM today
Group Class
2/wk, 45 min
13-17
Honors High School Geometry
Cynthia Dise
4.9
(79)
per class
Next session at 4 PM on Mon 8/25
Group Class
32 wks, 2/wk, 45 min
13-18
Complete Geometry Course. Full Curriculum.
Lhisha Bennett
4.9
(43)
per class
Next session at 4 PM on Tue 5/13
Group Class
16 wks, 2/wk, 45 min
12-17
High School Geometry - Your Way!
Lucy Hill, M.Ed.
per session
1-on-1 Tutoring
On Demand
11-18
High School Geometry Full Year
Wild and Unstructured Learning
4.8
(1,133)
per class
Next session at 6 PM on Sunday
Group Class
1/wk, 55 min
14-18
Geometry Full Year Course
Gail Dykhuis
4.9
(263)
per class
Group Class
33 wks, 2/wk, 45 min
12-16
High School Geometry 1 to 1 Private Tutoring
Christine's Crochet and More
4.8
(129)
per session
1-on-1 Tutoring
On Demand
12-18
Geometry Semester 2: Live Classes
Amy Schriever B.S, MMath
4.9
(107)
per class
Group Class
16 wks, 2/wk, 50 min
13-18
Private Tutoring Geometry, Trigonometry, Calculus
Wild and Unstructured Learning
4.8
(1,133)
per session
1-on-1 Tutoring
On Demand
13-18
High School Geometry for Homeschoolers
Cynthia Dise
4.9
(79)
per class
Next session at 5 PM on Mon 8/25
Group Class
31 wks, 2/wk, 45 min
13-18
More to explore
Writing Fundamentals for
Brain Science
Snow
Capitalization
Spanish Lessons
Dungeons And Dragons Candlekeep Mysteries
Piano 4
The Enlightenment
Bratty Elf Writing
Learn Multiplication Magic Tricks & Patterns
French Tutor High
Dominant And Recessive Traits
Semi Private French
Older Teen Baking
Shark Teeth
Dungeons Dragons Blood Gods
Cambridge Key A2 Exam
Audition Coach
Kind Academy
Things Building Bricks
