Geometry - Assignments

Topics to be covered on 2nd Semester RRHS Final:

• Module 3: Area and Volume
  • Area and Volume of Composite Figures
  • Scaling Principle
  • Calculating Dimensions (missing height, radius, etc.) from formulas
  • Volume and Density
• Module 4: Analytic Geometry
  • Linear Equations of Parallel and Perpendicular Lines
  • Perimeter and Area on the Coordinate Grid
  • Partitioning Line Segments and Midpoint Formula
  • Distance From A Point To A Line
• Module 5: Circles
  • Thales Theorem
  • Chords and Diameters
  • Inscribed Angle Theorem
  • Arcs and Chords
  • Arc Length and Areas of Sectors
  • Tangents and Secants - Theorems and Formulas for Problems

DUE: 4/2

Module 5, Lesson 6

Problem Set #1-4

DUE: 3/20

Module 5, Lesson 5

page 41, problems 'a' through 'f.'

DUE: 3/19

Circle patterns project (instructions in-class)

DUE: 3/15

In Class: Exit Ticket on Lessons 1 and 2

DUE: 3/14

Module 5, Lesson 2

Problem Set #'s 2, 4, 5

DUE: 3/13

Module 5, Lesson 1

Problem Set #'s 1-4

DUE: 11/19

Khan Academy Lab - Radicals, extension to Pythagorean Theorem Problems.

Friday: 11/16 Quiz - Radicals (Simplification, Addition, Subtraction)

TUESDAY, 11/13 - Common Assessment - Dilation and Proportion

Lessons Covered: Module 2, Lessons 1-10, 15-17

Topics Covered:

• Scale Models and Dilations
• Constructing Dilations / Finding the Point of Dilation
• Scale Factor
• Side Splitting Theorem / Parts of Triangles
• "Cutting the King's Foot" / Dividing a Line Segment into Equal Parts
• Within Figure and Between Figure Ratios

FRIDAY, 10/19 - Common Assessment - Congruence and Proofs

Covers Lessons 22-27 and the following general topics:

Definition of Congruence

Preservation of Distances and Angles

Triangle Congruence Postulates (SSS, SAS, AAS, ASA, HL)

Triangle Congruence Proofs

DUE: 9/28

Module 1, Lesson 22, Problem Set #'s 1-10

DUE: 10/8

Lesson 25

Congruence Statements for #'s 1 and 2, page 158 and #'s 1 and 2, page 161

Common Assessment #3: Wednesday, 9/26

Lessons Covered: 12-21

Topics Covered:

Transformations and Symmetry (Lessons 12-16)

• Rotations (Rotating a Figure; Finding a Point of Rotation)
• Reflections (Reflecting a Figure; Finding the Line of Reflection)
• Translations (Moving a Figure Along a Vector)
• Symmetry (Rotational, Reflective, Identity)
  • Finding the degree measures of rotational symmetry

Use of Perpendicular Bisectors (Lesson 17)

• When and where are perpendicular bisectors used for rotations, reflections and translations?
• What is meant by 'distance preservation?'

Construct and Apply A Sequence of Rigid Motions (Lesson 18; Worksheet; Khan Academy)

• With and without the coordinate grid

Relevant Khan Academy Lab Activities:

• Mapping Figures
• Determining Rotations; Determining Reflections
• Identify Transformations
• Translate Shapes
• Rigid Transformations - Preserved Properties
• Defining Transformations
• Symmetry of 2D Shapes

Common Assessment #2: Tuesday, 9/11

Lessons Covered: 6-11

Topics Covered:

Transversals and Parallel Lines (Lessons 6 and 7)

- Corresponding Angles

- Alternate Interior Angles

- Same Side Interior Angles

Angles and Triangles (Lesson 8)

- Interior Angles of a Triangle

- Exterior Angle Theorem

Proofs (Lessons 9 & 10; worksheet in class)

- Vocabulary (Word Bank PDF; pp. 40-42; page 61)

- Writing Simple Proofs (Lessons 9, 10, 11)

DUE: Thursday, 9/6

On a piece of paper, please sketch examples of the following six terms:

• Angles on a Line
• Isosceles Triangle Theorem
• Alternate Interior Angle Theorem
• Corresponding Angle Theorem
• Same-Side Interior Angle Theorem
• Exterior Angle of Triangles Theorem

Friday, 8/31: Quiz #2 on Lessons 6-8

Topics covered:

• Angle measurements (around a point; angles on a line / linear pairs; vertical angles) (Lesson 6)
• Angles formed by a transversal and parallel lines (Lesson 7)
• Angles within a triangle (exterior angle theorem; interior angles of a triangle add up to 180 degrees) Lesson 8

Chart on pages 40-42 (esp. page 36) useful for study / prep

DUE: 8/31

Khan Academy Lab #2:

• Unknown angle problems (with algebra)
• Angle relationships with parallel lines
• Equation practice with angles
• Identifying supplementary, complementary, and vertical angles

DUE: 8/29

Module 1, Lesson 8, Exercises on pages 50-51, #'s 2-7.

DUE 8/27

Module 1, Lesson 7

pages 45-46, Exercises #'s 1-6, 8, 9

DUE: 8/23

Eureka! Module 1, Lesson 6

Exercises #'s 1-8 on pp. 35-37