Unit: Area

Students will know that there are area formulas used to find area of figures.

Students will understand how area formulas are used to find area of figures.

Students will use area formulas to find area of figures.

Key Learning: Students will apply the area formulas to solve for missing areas of figures.
 

Unit Essential Questions: What area formulas can I use to solve for missing areas of figures?
 

Concept 1

Areas of Rectangles and Parallelograms

Concept 2

Areas of Triangles, Trapezoids, and Kites

Concept 3

Area Problems

Concept 4

Areas of Regular Polygons

Lesson Essential Question:

What are the area formulas used to find area of rectangles and parallelograms?
 

Lesson Essential Question:

 What are the area formulas used to find area of triangles, trapezoids, and kites?
 

Lesson Essential Question:

How can area formulas be applied to solve area problems?

Lesson Essential Question:

What is the formula for the area of a regular polygon?

Concept 5

Areas of Circles

Concept 6

Area Sectors, Segments and Annulus Regions of circles

Concept 7

Surface Area

Concept 8

Lesson Essential Question:

What area formula can I use to find area fo a circle?

Lesson Essential Question:

What are sectors, segments and annulus regions of a circle and how are their areas found?

Lesson Essential Question:

What methods can I use for finding the surface area of solids?

Lesson Essential Question:

Concept 9

Concept 10

Concept 11

Concept 12

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

6-5 The Circumference/Diameter Ratio p. 335-340, Discovering Geometry text

Quiz p. 83

6-5 Investigation p. 336

6-5 Exercises p. 337

6-5 Worksheet p. 43

6-6 Around the World p. 341-344, Discovering Geometry text

6-6 Exercises p. 342

6-6 Worksheet p. 44

Using Your Algebra Skills p. 345-348, Discovering Geometry text

Solving Systems of Linear Equations

Exercises p. 348

6-7 Arc Length p. 349-354, Discovering Geometry text

6-7 Investigation p. 350

6-7 Exercises p. 351

6-7 Worksheet p. 45

No School/Inservice

Unit: Discovering and Proving Circle Properties

Students will know the circle properties.

Students will understand the properties of circles.

Students will discover and explore the properties of tangents, chords, arcs and angles. They will calculate lengths of arcs and prove circle conjectures.
 

Key Learning: Students will discover and prove circle conjectures.
 

Unit Essential Questions: How can I discover and prove the properties of circles?

Concept 1

Tangent Properties

Concept 2

Chord Properties

Concept 3

Arcs and Angles

Concept 4

The Circumference/Diameter Ratio

Lesson Essential Question:

What are the tangent properties and how are they applied in geometry?

Lesson Essential Question:

What are the chord properties of a circle?

Lesson Essential Question:

What are the relationships between an inscribed angle of a circle and its intercepted arc?

Lesson Essential Question:

How can I calculate the circumference/diameter ratio?

Concept 5

Problem Solving Applications of Chord Properties and PI

Concept 6

Arc Length

Concept 7

Concept 8

Lesson Essential Question:

How can I apply the formula for the circumference of a circle?
 

Lesson Essential Question:

What is the formula for finding the length of an arc of a circle?
 

Lesson Essential Question:

Lesson Essential Question:

Concept 9

Concept 10

Concept 11

Concept 12

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

6-5 The Circumference/Diameter Ratio p. 335-340, Discovering Geometry text

Quiz p. 83

6-5 Investigation p. 336

6-5 Exercises p. 337

6-5 Worksheet p. 43

6-6 Around the World p. 341-344, Discovering Geometry text

6-6 Exercises p. 342

6-6 Worksheet p. 44

Using Your Algebra Skills p. 345-348, Discovering Geometry text

Solving Systems of Linear Equations

Exercises p. 348

6-7 Arc Length p. 349-354, Discovering Geometry text

6-7 Investigation p. 350

6-7 Exercises p. 351

6-7 Worksheet p. 45

No School/Inservice

6-1 Tangent Properties p. 310-316, Discovering Geometry Text

6-1-1 Investigation p. 311

6-1-2 Investigation p. 312

6-1 Exercises p. 313

6-1 Worksheet p. 39

6-1 Tangent Properties p. 310-316, Discovering Geometry Text

6-1-1 Investigation p. 311

6-1-2 Investigation p. 312

6-1 Exercises p. 313

6-1 Worksheet p. 39

6-2 Chord Properties p. 317-323, Discovering Geometry text

6-2-1 Investigation p. 317

6-2-2 Investigation p. 318

6-2-3 Investigation p. 319

6-2-4 Investigation p. 319

6-2 Exercises p. 320

6-2 Worksheet p. 40

6-2 Chord Properties p. 317-323, Discovering Geometry text

6-2-1 Investigation p. 317

6-2-2 Investigation p. 318

6-2-3 Investigation p. 319

6-2-4 Investigation p. 319

6-2 Exercises p. 320

6-2 Worksheet p. 40

6-3 Arcs and Angles p. 324-329, Discovering Geometry text

6-3-1 Investigation p. 324

6-3-2 Investigation p. 325

6-3-3 Investigation p. 325

6-3-4 Investigation p. 326

6-3 Exercises p. 327

6-3 Worksheet p. 41

Unit: Discovering and Proving Polygon Properties

Students will know the properties of polygons.

Students will understand the properties of polygons.

Students will study properties of convex polygons and find the relationships among their angles, sides, and diagonals.

Key Learning: Students will study properties of convex polygons and find the relationships among their angles, sides, and diagonals.
 

Unit Essential Questions: What are the properties of convex polygons and the relationships among their angles, sides, and diagonals?

Concept 1

Polygon Sum Conjecture

Concept 2

Exterior Angles of a Polygon
 

Concept 3

Kite and Trapezoid Properties

Concept 4

Properties of Midsegments

Lesson Essential Question:

What is the sum of the angle measures in a polygon?

Lesson Essential Question:

What is the sum of the measures of the exterior angles of a polygon?
How can I write formulas for the measure of the interior angle of an equiangular polygon?

Lesson Essential Question:

What are the properties of kites and trapezoids?

Lesson Essential Question:

What are the properties of midsegments in triangles and trapezoids?

Concept 5

Properties of Parallelograms
 

Concept 6

Properties of Special Parallelograms

Concept 7

Proving Quadrilateral Properties
 

Concept 8

Lesson Essential Question:

What are the properties of parallelograms and how are they applied in geometry?

Lesson Essential Question:

What are the special properties of parallelograms and how are they applied in geometry?
 

Lesson Essential Question:

How can I prove quadrilateral properties by writing flowcharts and paragraph proofs?

Lesson Essential Question:

Concept 9

Concept 10

Concept 11

Concept 12

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

5-4 Properties of Midsegments p.  275-280, Discovering Geometry text

5-4-1 Investigation p. 275

5-4-2 Investigation p. 276

5-4 Exercises p. 277

5-4 Worksheet p. 35

5-5 Properties of Parallelograms p. 281-286, Discovering Geometry text

5-5 Investigation p. 281

5-5 Exercises p. 283

5-5 Worksheet p. 36

Using Your Algebra Skills p. 287-290, Discovering Geometry

Quiz p. 67

Algebra Skills Exercises: Writing Linear Equations p. 289

5-6 Properties of Special Parallelograms p. 291-297, Discovering Geometry text

5-6-1 Investigation p. 291

5-6-2 Investigation p. 292

5-6-3 Investigation p. 293

5-6 Exercises p. 294

5-6 Worksheet p. 37

No School

5-3 Kite and Trapezoid Properties p. 268-274, Discovering Geometry text

5-3-1 Investigation p. 268

5-3-2 Investigation p. 270

5-3 Exercises p. 271

5-3 Worksheet p. 34

5-4 Properties of Midsegments p.  275-280, Discovering Geometry text

5-4-1 Investigation p. 275

5-4-2 Investigation p. 276

5-4 Exercises p. 277

5-4 Worksheet p. 35

5-5 Properties of Parallelograms p. 281-286, Discovering Geometry text

5-5 Investigation p. 281

5-5 Exercises p. 283

5-5 Worksheet p. 36

Using Your Algebra Skills p. 287-290, Discovering Geometry

Quiz p. 67

Algebra Skills Exercises: Writing Linear Equations p. 289

5-6 Properties of Special Parallelograms p. 291-297, Discovering Geometry text

5-6-1 Investigation p. 291

5-6-2 Investigation p. 292

5-6-3 Investigation p. 293

5-6 Exercises p. 294

5-6 Worksheet p. 37

Inservice

Inservice

5-1 Polygon Sum Conjecture p. 258-261, Discovering Geometry text

5-1 Investigation p. 258

5-1 Exercises p. 259

5-1 Worksheet p. 32

5-2 Exterior Angles of a Polygon p. 262-265, Discovering Geometry text

5-2 Investigation p. 262

5-2 Exercises p. 263

5-2 Worksheet p. 33

5-3 Kite and Trapezoid Properties p. 268-274, Discovering Geometry text

5-3-1 Investigation p. 268

5-3-2 Investigation p. 270

5-3 Exercises p. 271

5-3 Worksheet p. 34

Unit: Discovering and Proving Triangle Properties

Students will know the properties of triangles

Students will understand the properties of triangles

Students will investigate and demonstrate the properties of triangles.

Key Learning: Students will investigate the properties of triangles and write conjectures based upon their investigations

Unit Essential Questions: What are the properties of triangles and how can I identify them?

Concept 1

Triangle Sum Conjecture

Concept 2

Properties of Isosceles Triangles

Concept 3

Triangle Inequalities

Concept 4

Congruence Shortcuts

Lesson Essential Question:

How can I discover and explain the sum of the measures of the angles of a triangle and develop inductive and deductive reasoning?

Lesson Essential Question:

What is the relationship of the base angles and vertex angle of an isosceles triangles?

Lesson Essential Question:

How can I identify the triangle inequalities and determine the Exterior Angle Conjecture?

Lesson Essential Question:

What are the congruence shortcuts?

Concept 5

Corresponding Parts of Congruent Triangles
 

Concept 6

Flowchart Proofs

Concept 7

Proving Special Triangle Conjectures

Concept 8

Lesson Essential Question:

How can I determine the corresponding parts of congruent triangles?

Lesson Essential Question:

How can I write a flowchart to prove a geometric conjecture?

Lesson Essential Question:

What are the special triangle conjectures that I need to prove?

Lesson Essential Question:

Concept 9

Concept 10

Concept 11

Concept 12

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

Finish Missing Assignments

Finish Missing Assignments

No School

Merry Christmas!

No School

4-5 Are There Other Congruence Shortcuts? p. 227-231, Discovering Geometry text

Quiz p. 51

4-5-1 Investigation p. 227

4-5-2 Investigation p. 228

4-5-3 Investigation p. 228

4-5 Exercises p. 229

4-5 Worksheet p

4-6 Corresponding Parts of Congruent Triangles p. 232-236, Discovering Geometry text

4-6 Exercises p. 233

4-6 Worksheet p. 29

4-7 Flowchart Thinking p. 237-242, Discovering Geometry text

Quiz p. 53

4-7 Exercises p. 239

4-7 Worksheet p. 30

Final Exams

Final Exams

4-3 Triangle Inequalities p. 215-220, Discovering Geometry text

4-3-1 Investigation p. 216

4-3-2 Investigation p. 217

4-3-3 Investigation p. 217

4-3 Exercises p. 218

4-3 Worksheet p. 26

4-4 Are There Congruence Shortcuts? p. 221-226, Discovering Geometry text

4-4-1 Investigation p. 222

4-4-2 Investigation p. 223

4-4-3 Investigation p. 223

4-4 Exercises p. 224

4-4 Worksheet p. 27

4-5 Are There Other Congruence Shortcuts? p. 227-231, Discovering Geometry text

Quiz p. 51

4-5-1 Investigation p. 227

4-5-2 Investigation p. 228

4-5-3 Investigation p. 228

4-5 Exercises p. 229

4-5 Worksheet p

4-6 Corresponding Parts of Congruent Triangles p. 232-236, Discovering Geometry text

4-6 Exercises p. 233

4-6 Worksheet p. 29

4-7 Flowchart Thinking p. 237-242, Discovering Geometry text

Quiz p. 53

4-7 Exercises p. 239

4-7 Worksheet p. 30

4-1 Triangle Sum Conjecture p. 200-205, Discovering Geometry text

4-1 Investigation p. 200

4-1 Exercises p. 203

4-1 Worksheet p. 24

4-2 Properties of Isosceles Triangles p. 206-211, Discovering Geometry text

4-2-1 Investigation p. 207

4-2-2 Investigation p. 208

4-2 Exercises p. 208

4-2 Worksheet p. 25

4-3 Triangle Inequalities p. 215-220, Discovering Geometry text

4-3-1 Investigation p. 216

4-3-2 Investigation p. 217

4-3-3 Investigation p. 217

4-3 Exercises p. 218

4-3 Worksheet p. 26

4-4 Are There Congruence Shortcuts? p. 221-226, Discovering Geometry text

4-4-1 Investigation p. 222

4-4-2 Investigation p. 223

4-4-3 Investigation p. 223

4-4 Exercises p. 224

4-4 Worksheet p. 27

4-5 Are There Other Congruence Shortcuts? p. 227-231, Discovering Geometry text

4-5-1 Investigation p. 227

4-5-2 Investigation p. 228

4-5-3 Investigation p. 228

4-5 Exercises p. 229

4-5 Worksheet p. 28

Unit: Using Tools of Geometry

Students will know the tools of geometry.

Students will understand how to create complex figures using only a straightedge, compass, protractor and patty paper.

Students will demonstrate the skills needed to create complex figures in geometry.

Key Learning: Students will learn about the tools of geometry and how they are used to create complex geometric figures.

Unit Essential Questions: What are the tools of geometry and how are they used to create complex geometric figures?

Concept 1

Duplicating segments and Angles

Concept 2

Constructing Perpendicular Bisectors

Concept 3

Constructing Perpendiculars to a Line

Concept 4

Constructing Angle Bisectors

Lesson Essential Question:

How can I duplicate segments and angles?

Lesson Essential Question:

How can I construct perpendicular bisectors?

Lesson Essential Question:

How can I find the perpendicular line to a point above a line and a point on the line?

Lesson Essential Question:

How can I construct angle bisectors?

Concept 5

Constructing Parallel Lines

Concept 6

Constructing Points of Concurrency

Concept 7

The Centroid

Concept 8

Lesson Essential Question;

How can I construct parallel lines?

Lesson Essential Question:

How can I construct points of concurrency?

Lesson Essential Question:

What is the centroid and how can I find it using geometric tools?

Lesson Essential Question:

Concept 9

Concept 10

Concept 11

Concept 12

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

Chapter 3 Open Book Test

Chapter 3 Open Book Test

Finish Missing Assignments

No School

No School

3-7 Constructing Points of Concurrency p. 178-184, Discovering Geometry

3-7-1 Investigation p. 178

3-7-2  Investigation p. 179

3-7-3 Investigation p. 180

3-7 Exercises p. 181

3-7 Worksheet p. 22

Review/Quiz p. 33

Finish Missing Assignments

3-8 The Centroid p. 185-190, Discovering Geometry text

3-8-1 Investigation p. 185

3-8-2 Investigation p. 186

3-8 Exercises p. 188

3-8 Worksheet p. 23

Review/Quiz p. 35

Finish Missing Assignments

Review/Quiz p. 37

Review for Chapter 3 Test

Quiz Review p. 31

3-5 Constructing Parallel Lines p. 163-166, Discovering Geometry text

3-5 Investigation p. 163

3-5 Exercises p. 164

3-5 Worksheet p. 20

Using Your Algebra Skills: Slopes of Parallel and Perpendicular Lines p. 167-169, Discovering Geometry text

Algebra Skills Exercises p. 169

3-6 Construction Problems p. 170-173, Discovering Geometry text

3-6 Exercises p. 171

3-6 Worksheet p. 21

3-7 Constructing Points of Concurrency p. 178-184, Discovering Geometry

3-7-1 Investigation p. 178

3-7-2  Investigation p. 179

3-7-3 Investigation p. 180

3-7 Exercises p. 181

3-7 Worksheet p. 22

3-3 Constructing Perpendiculars to a Line p. 154-158, Discovering Geometry text

3-3-1 Investigation  p. 154

3-3-2 Investigation  p. 155

3-3 Exercises p. 156

3-3 Worksheet p. 18

3-4 Constructing Angle Bisectors p. 159-162, Discovering Geometry text

3-4-1 Investigation  p. 159

3-4-2 Investigation  p. 160

3-4 Exercises p. 160

3-4 Worksheet p. 19

3-5 Constructing Parallel Lines p. 163-166, Discovering Geometry text

3-5 Investigation p. 163

3-5 Exercises p. 164

3-5 Worksheet p. 20

Using Your Algebra Skills: Slopes of Parallel and Perpendicular Lines p. 167-169, Discovering Geometry text

Algebra Skills Exercises p. 169

3-6 Construction Problems p. 170-173, Discovering Geometry text

3-6 Exercises p. 171

3-6 Worksheet p. 21

3-1 Duplicating Segments and Angles p. 144-148, Discovering Geometry text

3-1-1 Investigation  p. 145

3-1-2 Investigation  p. 146

3-1 Exercises p. 147

3-1 Worksheet p. 16

3-2 Constructing Perpendicular Bisectors p. 149-153, Discovering Geometry text

3-2-1 Investigation  p. 149

3-2-2 Investigation  p. 150

3-2 Exercises p. 151

3-2 Worksheet p. 17

3-3 Constructing Perpendiculars to a Line p. 154-158, Discovering Geometry text

3-3-1 Investigation  p. 154

3-3-2 Investigation  p. 155

3-3 Exercises p. 156

3-3 Worksheet p. 18

3-4 Constructing Angle Bisectors p. 159-162, Discovering Geometry text

Quiz p. 31

3-4-1 Investigation  p. 159

3-4-2 Investigation  p. 160

3-4 Exercises p. 160

3-4 Worksheet p. 19

3-5 Constructing Parallel Lines p. 163-166, Discovering Geometry text

3-5 Investigation p. 163

3-5 Exercises p. 164

3-5 Worksheet p. 20

Unit: Reasoning in Geometry

Students will be introduced to the inductive and deductive reasoning methods used in geometry.

Students will find numerical and picture sequences with geometric and mathematical tables.

Students will write rules or formulas that describe the sequences and patterns found in geometric and mathematical models.

Key Learning: Students will write rules or formulas that describe the nth term in patterns and sequences.

Unit Essential Questions: How can I write rules or formulas that describe the nth term in a pattern or sequence?

Concept 1

Inductive Reasoning

Concept 2

Finding the nth Term

Concept 3

Mathematical modeling

Concept 4

Deductive Reasoning

Lesson Essential Question:

What is inductive reasoning and how can it be used to find patterns?

Lesson Essential Question:

How can I write a rule that allows me to find the nth term?

Lesson Essential Question:

How can I write an equation that describes a mathematical model?

Lesson Essential Question:

How can I use deductive reasoning to write and proof good conjectures?

Concept 5

Angle Relationships

Concept 6

Special Angles on Parallel Lines

Concept 7

Using your Algebra Skills: Slope

Concept 8

Lesson Essential Question:

What relationships exist between linear pairs and vertical angles?

Lesson Essential Question:

Which angles are congruent when two parallel lines are cut by a transversal?

Lesson Essential Question:

How can the slope formula be used in geometric graphs?

Lesson Essential Question:

Concept 9

Concept 10

Concept 11

Concept 12

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

No School

Using Your Algebra Skills: Slope p. 135-136, Discovering Geometry text

Algebra Skills Exercises p. 136

Skills Practice p. 283, 284

Using Your Algebra Skills: Slope p. 135-136, Discovering Geometry text

Skills Practice p. 305, 306

Using Your Algebra Skills: Slope p. 135-136, Discovering Geometry text

Skills Practice p. 307,308

Using Your Algebra Skills: Slope p. 135-136, Discovering Geometry text

Slope Quiz

Finish Missing Unit Assignments

2-2 Finding the nth Term p. 102-107, Discovering Geometry text

 2-2 Investigation p. 102

2-2 Exercises p. 105

2-2 worksheet p. 11

2-3 Mathematical Models p. 108-113, Discovering Geometry text

2-3 Investigation p. 108

2-3 Exercises p. 112

2-3 worksheet p. 12

2-4 Deductive Reasoning p. 114-119, Discovering Geometry text

Quiz p. 15

2-4 Investigation p. 116

2-4 Exercises p. 117

2-4 worksheet p. 13

2-5 Angle Relationships p. 122-127, Discovering Geometry text

2-5-1 Investigation p. 122

2-5-2 Investigation p. 123

2-5 Exercises p. 124

2-5 worksheet p. 14

2-6 Special Angles on Parallel Lines p. 128-134, Discovering Geometry text

2-6-1 Investigation p. 128

2-6-2 Investigation p. 130

2-6 Exercises p. 131

2-6 worksheet p. 15