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
Mod 5 Topic A review 2019.pdf
Mod 5 Topic A review 2019.pdf

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

Notes - Using trigonometric ratios to find side lengths


Trig notes - side lengths.pdf

DUE: 11/19

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

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

DUE: 11/15

Adding Radicals

Adding Radicals.pdf

DUE: 11/14

Simplifying Radicals

Radicals Worksheet.pdf

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

Word Bank.pdf
Congruencies WS.pdf

DUE: 10/8

Lesson 25

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

Congruence statements - triangles (SSS etc).pdf
Proof fill in the blanks.pdf
Basic Proofs - Mod 1 Lesson 9.pdf
Congruency Theorem Chart updated.pdf

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)

Word Bank - Vocabulary and terms for Topic B. Students must understand these terms for their assessment.

All items are covered in Eureka, most on pages 40-42 and page 61.

Word Bank.pdf

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

DUE: Tuesday, 9/4

Intro to proofs (class notes)

Worksheet (pages 1-2)

Basic Proofs - Mod 1 Lesson 9.pdf

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