Geometry

Welcome Mathematicians to Geometry class!
Geometry Syllabus for the year 20202021
Geometry is the second course in a sequence of three required high school courses designed to ensure career and college readiness. The course represents a discrete study of geometry with correlated statistics applications.
Course Description
First Semester : September December Units Covered : 03
Unit 0(10 days): Establish Spiral review, sense making, growth mindset and Standard Mathematical Practices routines.
Grade 8 Standards: 8.G.2,8.G.4,8.G.3
Big Idea:
Describe the effect of transformations on 2D figures in the coordinate plane
Unit 1(10 days): Transformations in the Coordinate Plane
Building on standards from middle school, students will perform transformations in the coordinate plane, describe a sequence of transformations that will map one figure onto another, and describe transformations that will map a figure onto itself. Students will compare transformations that preserve distance and angle to those that do not.
Big Ideas:
Translate, rotate and reflect regular polygons on a coordinate plane.
Specify a sequence of transformations that will carry a given figure onto another.
Priority Standards
Supporting Standards
Buffer(1 day): Priority Standards
Assessment
Remediation
Enrichment.
PreUnit Review Buffer: 8.G.5
Big Idea:
Use informal arguments to angle relationships in triangles.
Unit 2(25 days): Similarity, Congruence, and Proofs
Building on standards from Unit 1 and from middle school, students will use transformations and proportional reasoning to develop a formal understanding of similarity and congruence. Students will identify criteria for similarity and congruence of triangles, develop facility with geometric proofs (variety of formats), and use the concepts of similarity and congruence to prove theorems involving lines, angles, triangles, and other polygons.
Big Ideas:
Understand similarity transformations (G.SRT.2)
Prove theorems involving similarity (G.SRT.5)
Understand congruence in terms of ridged motions (G.CO.8)
Prove geometric theorems (G.CO.911)
Priority Standards
G.SRT.2, G.SRT.5, G.CO.8,
Supporting Standards
G.SRT.1ab, G.SRT.3, G.SRT.4, G.CO.6,
G.CO.7, G.CO.12 G.CO.13
Big Ideas:
Understand similarity transformations (G.SRT.2)
Prove theorems involving similarity (G.SRT.5)
Understand congruence in terms of ridged motions (G.CO.8)
Prove geometric theorems (G.CO.911)
Buffer
Priority Standards
G.SRT.2 G.SRT.5 G.CO.8
G.CO.9 G.CO.10
Assessment
Remediation.Enrichment
PreUnit Review Buffer(1 day): 8.G.7
Big Idea:
Understand and apply the Pythagorean Theorem
Unit 3(15 days): Right Triangle Trigonometry
Students will apply similarity in right triangles to understand right triangle trigonometry. Students will use the Pythagorean Theorem and the relationship between the sine and cosine of complementary angles to solve problems involving right triangles.
Priority Standard
Supporting Standards
G.SRT.6, G.SRT
Big Idea:
Define trigonometric ratios and solve problems involving right triangles
Buffer(1day)
Priority Standard
Assessment
Enrichment
Remediation
Second Semester :January  May Units(46)
PreUnit Review Buffer(3 days)
Big Idea:
Solve realworld and mathematical problems involving volume of cylinders, cones, and spheres.
Unit 4 (25 days): Circles and Volume
Students will understand and apply theorems about circles, find arc lengths of circles, and find areas of sectors of circles. Students will develop and explain formulas related to circles and the volume of solid figures and use the formulas to solve problems. Building on standards from middle school, students will extend the study of identifying crosssections of threedimensional shapes to identifying threedimensional objects generated by rotations of twodimensional objects.
Priority Standards
G.C.2, G.C.5 Part I & II, G.GMD.3
Supporting Standards
G.C.1, G.C.3, G.C.4, G.GMD.1
Big Ideas:
Understand and apply theorems about circles
Find arc lengths and areas of sectors of circles
Explain volume formulas and use them to solve problems.
Buffer
Priority Standards
G.C.2, G.C.5 Part I & II, G.GMD.3
Assessment
Remediation
Enrichment
PreUnit Review Buffer(3 days):
8.G.8
A.REI.4a G.SRT.5
Big Ideas:
Understand and apply the Pythagorean Theorem
Complete the square to transform quadratic equations
Prove theorems involving similarity
Unit 5(25 days): Geometric and Algebraic Connections
Students will use the concepts of distance, midpoint, and slope to verify algebraically geometric relationships of figures in the coordinate plane (triangles, quadrilaterals, and circles). Students will solve problems involving parallel and perpendicular lines, perimeters and areas of polygons, and the partitioning of a segment in a given ratio. Students will derive the equation of a circle and model realworld objects using geometric shapes and concepts.
Priority Standards
G.GPE.1, G.GPE.4,
Supporting Standards
Big Ideas:
Translate between the geometric description and the equation for a conic section (G.GPE.1)
Use coordinates to prove simple geometric theorems algebraically
(G.GPE.4 7)
Apply geometric concepts in modeling situations (G.MG.1)
Buffer (3 days)
Priority Standards
G.GPE.1, G.GPE.4,
Assessment
Enrichment,Remediation
PreUnit Review Buffer(1 day)
S.ID.5
Big Ideas:
Summarize categorical data for two categories in twoway frequency tables
Unit 6(12 days): Applications of Probability
Students will understand independence and conditional probability and use them to interpret data. Building on standards from middle school, students will formalize the rules of probability and use the rules to compute probabilities of compound events in a uniform probability model.
Priority Standards
S.CP.4, S.CP.7
Supporting Standards
S.CP.1, S.CP.2, S.CP.3, S.CP.5, S.CP.6
Big Ideas:
Understand independence and conditional probability and use them to interpret data
Use the rules of probability to compute probabilities of compound events in a uniform probability model
Supply List:
Math Journal( composition note book)
Computer.
Head Phone.
Pen Drive
Writing Materials
Ruler
Compass
Protractor
File Folder
Markers
Highlighter
My Class Schedule:
1st period : Planning
2nd period : Geometry
3rd period : Geometry
4 th period : Geometry
5th period : Geometry
6th period : Geometry
7 th period : Geometry
Tutoring hours : Wednesdays : 2:45  3:45pm
Thursdays : 2:45  3:45pm
Face to Face students,In the event of distance learning,students will download work from Canvas.Online students,All work can be accessed through Canvas.