 # Geometry

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Welcome Mathematicians to Geometry class!

Geometry Syllabus for the year 2020-2021

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 :  0-3

Unit 0(10 days): Establish Spiral review, sense making, growth mindset and Standard Mathematical Practices routines.

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

G.CO.2

Assessment

Remediation

Enrichment.

Pre-Unit 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.9-11)

Priority Standards

G.SRT.2, G.SRT.5, G.CO.8,

Supporting Standards

G.SRT.1a-b, 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.9-11)

Buffer

Priority Standards

G.SRT.2 G.SRT.5 G.CO.8

G.CO.9 G.CO.10

Assessment

Remediation.Enrichment

Pre-Unit 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(4-6)

Pre-Unit Review Buffer(3 days)

Big Idea:

Solve real-world 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 cross-sections of three-dimensional shapes to identifying three-dimensional objects generated by rotations of two-dimensional 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

G.GMD.2, G.GMD.4

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

Pre-Unit 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,

G.GPE.5, G.GPE.6

Supporting Standards

G.MG.2, G.MG.3

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,

G.GPE.5, G.GPE.6

G.GPE.7, G.MG.1

Assessment

Enrichment,Remediation

Pre-Unit Review Buffer(1 day)

S.ID.5

Big Ideas:

Summarize categorical data for two categories in two-way 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.

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.