Investigating Geometry Part 4 (Of 5)
In this part of discover geometry we will be extending our knowledge of Circles, learn the unit circle, and start basic trigonometry.
Toni Redmiles (Bryant)
Average rating:
4.9
Number of reviews:(358)
What's included
24 live meetings
20 in-class hoursHomework
1-2 hours per week. 2-3 worksheets will be assigned each week.Assessment
Students who turn in all 3 quizzes and final project will receive an evaluation of progress towards mastery of objectives.Class Experience
US Grade 9 - 12
In this part of discover geometry we will be extending our knowledge of Right triangles and start trigonometry. Some circle objectives will also be taught in this class. Students will have 3 days of live instruction per week but will be assigned enough work for them to practice the skills 5 days a week. A geometry set is required for this class. Any set that has the following items will do: A ruler (12 inches and 30 cm) A protractor A compass Triangle Ruler (Set square) Geo board (Printable provided) Graph paper (Printable provided) Patty paper Your learner will also need a notebook to write in. Geometry has its own set of vocabulary and learning it can be like learning a new language. Students will have a set of vocabulary term they must put in their geometry dictionary (notebook) each week. Week one: Review area, perimeter and circumference of shapes. Review evaluating formulas, Review perpendicular and bisecting. Review writing an equation of a line. Week two: Chords and tangent line Week three: Inscribed angles Week four: Arcs, Circles in the coordinate plane Week five: Writing the equation of a circle Week five: The tangent ratio, Special triangles Week six: sine and cosine ratios, angles of elevation and depression. Week seven: unit circle Week eight: Catch week or bonus lessons: vectors, trigonometry and area I like to show the students the way math rules work so that it is easier to remember them. This way the curiosity of knowing how something works will move the gears of critical thinking. After I have shown them a pattern and why it works. I will ask them to apply it to a hard problem. If they can use these skills in different ways, I know they have mastered the concepts. I believe to memorize math is not understanding, but to apply math is not only understanding but fluency! To obtain this level of understanding, I will lead the students on a journey to discovering math through discussion, observation, and application of the math being used. If this is the kind of math class, you want then I am the teacher for you.
Learning Goals
To use different methods to find the measures of central angles and arcs
To interpret representations to find circumference and arc length.
To use formulas to find the area of circles sectors and segments of circles.
To solve real world area estimation problems.
To use the relationship between a radius and a tangent.
To understand the properties between a radius and a tangent.
To use the relationship between two tangents from on point.
To Understand the properties between two tangents from on point.
To use congruent chords, arcs, central angles to find real number values.
To Understand and use properties of lines through the center of a circle.
To use properties of models to find the measures of inscribed angles in models
To use properties of models to find the measures of angles formed by a tangent and a chord in models.
To use the properties of models to find the measures of angles formed by chords, secants, and tangents in models.
To use the properties of models to find the lengths of segments associated with circles in models.
To use graphs to write an equation of a circle to use graphs to find the center and radius of a circle.
To draw and describe a locus.
To understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
To explain and use the relationship between the sine and cosine of complementary angles.
To use trigonometric ratios and the Pythagorean theorem to solve right triangles in applied problems.
Derive the formula A=1/2 ab sin C for the area of a triangle by drawing an auxiliary line form a vertex perpendicular to the opposite side.
Prove the laws of sines and cosines and use them to solve problems.
Understand and apply the law of sines and the law of cosines to find unknown measurements in right and non right triangles.
Other Details
Supply List
Geometry tool kit graph paper patty paper geo board graphing calculator or app
External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Joined August, 2018
4.9
358reviews
Teacher expertise and credentials
Before coming to Outschool, I worked at a community college for 4 years. During that time, my job consisted of instructing math classes and working with students below college level math and English. During this time, I saw a lot of students who were not prepared for the discovery and problem-solving element of math in college. Most students struggle with middle school math concepts in real-world applications. Without this foundation of math fluency and problem-solving student struggle with harder math concepts. As my child starts middle math the urgency of making sure she has a proper foundation of math became real. I decided to homeschool and joined this community of homeschoolers.
I believe all students can succeed when they are taught in a style they understand. I would describe my style as Charlotte Mason or discovery, but I feel students need a mix of drill or classical method for foundational math concepts. If you believe that this style is how your learner understands, then I encourage you to sign up for my course.
Reviews
Live Group Class
$44
weekly or $350 for 24 classes3x per week, 8 weeks
50 min
Completed by 10 learners
Live video meetings
Ages: 14-18
2-6 learners per class
