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Middle School Math, Logic, Problem Solving: Rigid Transformations and Congruence
Malikai Bass M.A
Average rating:
5.0
Number of reviews:(289)
Popular
In this four week pre-algebra and middle school math course, students will learn to understand the types of transformation, corresponding sides, corresponding angles, angle relationships, congruence, and triangles.
Class Experience
US Grade 7 - 8
Intermediate Level
Follows Teacher-Created Curriculum
Aligned with Common Core State Standards (CCSS)
This is the first course in a series of small group classes for middle school math. These classes are a hybrid of individualized learning and traditional classes. Each section has no more than five learners which provides a foundation for strong relationships, social-emotional learning, and truly individualized instruction. This series is based on an accelerated math curriculum that covers three years of content, aligned to Common Core Math Standards, over the course of two school years. It...
5 units//20 lessons//4 Weeks
Unit 1Rigid TransformationsRigid Transformations6 lessons2 WeeksWeek 1Lesson 1Readiness AssessmentWe will begin with a readiness assessment that covers basic skills and gives a preview of course material to allow for individualization including review materials, tutoring suggestions, and enrichment based on the results of each individual learner.Lesson 2How do shapes move in the plane?We will explore translations and rotations of plane figures using everyday language to build foundational understandings.Lesson 3What are the names of these moves?We will identify and describe translation, rotations, and reflections and practice identifying corresponding points before and after translationsLesson 4How can we apply transformations?We will learn to apply these moves to figures and practice describing transformations and sequences of transformations as well as following instructions to perform these.Lesson 5How do transformations work on the coordinate grid?We will apply our understanding of transformations to the coordinate plane and understand how transformations impact coordinates.Week 2Lesson 6How can we describe transformations well?We will focus on communicating transformations precisely and applying them to polygons on the grid.Unit 2Properties Of Rigid TransformationsProperties Of Rigid Transformations5 lessons2 WeeksWeek 2Lesson 7What is a rigid transformation?We understand that translations, rotations, and reflections all preserve key characteristics like angles and length measures and are rigid transformations. We will identifying corresponding sides and angles of a polygon before and after a rigid transformation.Lesson 8What happens when we rotate a line?We will apply rigid transformations to line segments and triangles and notice patterns important for later work with angle measures.Lesson 9What are vertical angles?We will expand our focus on rigid transformations on lines and see that vertical angles have the same measure by understanding the rotation of lines 180 degrees. We will generalize our understanding to all pairs of intersecting lines.Lesson 10How can we work with composite shapes?We will create composite shapes using rigid transformations of polygons and reinforce our understanding that side lengths and angle measures are conserved.Week 3Lesson 11Mid-Unit Check InWe will take a mid-unit assessment to ensure we have mastered the concepts introduced so far.Unit 3CongruenceCongruence2 lessons1 WeekWeek 3Lesson 12What does it mean to be congruent?We will explore what it means for two shapes to be the same. We will introduce the idea of congruence using rigid transformations.Lesson 13How can we prove it?We will explore what information we need about a pair of shapes to know they are congruent including more complex shapes.Unit 4Angles in a TriangleAngles in a Triangle3 lessons2 WeeksWeek 3Lesson 14How are angles related to one another?We will explore and define relationships between angles proving that alternate interior angles are congruent and understanding the relationships between supplementary and complementary angles.Lesson 15What about triangles?We will apply our understanding of interior angles to a triangle and observe that they always add to 180 degrees.Week 4Lesson 16What do parallel lines have to do with triangles?We will prove and explain why the angles of a triangle always add up to 180 degrees using the coordinate grid.Unit 5Drawing PolygonsDrawing Polygons4 lessons1 WeekWeek 4Lesson 17How many shapes can we make?We will practice making polygons under different constraints to expand our understanding of triangles and prepare to identify congruent triangles based on limited information.Lesson 18Are all triangles with 3 common measures congruent?We will explore sets of triangles with three common measures to understand patterns and when triangles are congruent.Lesson 19Drawing trianglesWe will practice drawing triangles with specified information using various tools including a compass and understand when given conditions allow only one possible triangle.Lesson 20End of unit AssessmentWe will wrap up with an end of unit assessment!
- Students will learn to understand types of transformation including reflection, rotation, and translation Students will be able to recognize determining factors of each transformation Students will learn to differentiate rigid transformations. Students will learn to identity corresponding sides and angles and recognize the preservation of information throughout transformations. Students will use these to generate and draw images on and off the coordinate plane. Students will reason with congruence and justify claims. They will investigate the qualities of side lengths and angle measurements which create unique and multiple triangles or which can not create a triangle. Students will study and apply angle relationships including the terms complementary, supplementary, vertical and unique.
I have been completed three college-level courses on common-core math instruction. I have worked as a math instructor for middle school students in a private school setting. I have ten years of experience as a math tutor including working with students from ages 5 (kindergarten) to 25 (Graduate Readiness Exam). I have served as a teaching assistant in college-level probability and statistics courses.
Assessment
Frequency: includedDetails: Students will receive weekly written progress reports.
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
Students should have good content mastery over elementary math standards and sixth grade math standards. Students should have proficiency (with or without aid) of keyboard and mouse or touch screen devices.
Learners will need a notebook, graph paper, tape, glue, scissors, pencil, ruler, compass, and protractor. Tracing paper is optional but recommended.
In addition to the Outschool classroom, this class uses:
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 and scissors. If necessary, off-screen parental supervision should be supplied.
Joined April, 2021
5.0
289reviews
Popular
Teacher expertise and credentials
Malikai Bass is a twice exceptional (profoundly gifted/ autistic adhder with dyspraxia/dysgrpahia) life-long learner who has been teaching twice-exceptional students virtually for the past four years working with over a thousand students in...
Reviews
Group Class
$80
weekly or $320 for 20 classes5x per week, 4 weeks
50 min
Completed by 3 learners
Live video meetings
Ages: 11-14
3-6 learners per class
