Unit 1: Parallel Lines This unit begins with a familiar theme from fist semester; Parallel Lines. It looks at relationships of various angles to determine IF the lines are parallel. 

While looking at these familiar items in a new way, we will introduce  a new concept of proof.  

From these investigations, prior knowledge in Algebra will allow students to use a deductive process of "proving" something based upon established prior facts.

Unit 1
Activities
GSP - Lines & Equations that describe them
The Crime @ FiVZiX Oil
Exploring Parallel Lines

HW
New PH pg. 131  #1-8, 19-22, 26
New PH pg. 131 #11-18, 23-25, 30, 37
New PH pg. 177#1-4, 7-15odd, 16-19, 21-27
Beginning to Prove     WORD   pdf
New PH pg. 113 # 7, 14, 27, 28
New PH pg. 137 #1-21 odd, 27, 30, 38-40
What's your Angle?     WORD   pdf
Parallel or Perpendicular ?     WORD     pdf

Helps
FiviZiX OIL Powerpoint   ppt   web
Review Linear Systems    WORD   pdf

 

Unit 2:  Proving Congruence 
Students will begin the work of establishing logical reasoning and argumentation, which will lead to developing proofs of geometric concepts.

We begin by using our understanding of congruence, and simply learn to "formalize" our explanation of what it means to be congruent by learning to write formal two-column proofs.

HW
New PH pg. 200 #1-12, 24 - 27
New PH pg. 208 #1-12, 24 - 27
New PH pg. 215 #1-4, 13-16
Proofs:
New PH pg. 208 #1-3, 18, 26, 27, 38, 39
New PH pg. 216 #5-12, 20-23, 25
New PH pg. 222 #1-20
New PH pg. 230 #1-13, 16,20-22,30-32
New PH pg. 236# 3-8,10,11,13,14

Unit 3: Quadrilaterals- Students apply what they've learned about triangles to develop properties of parallelograms, trapezoids, and kites. They continue to develop their mathematical reasoning abilities and their algebraic skills by continuing to write two-column proofs and learning how to do coordinate proofs.

Unit 3
Activities
Exploring Parallelograms
Properties of Rectangles
Rhombuses & Trapezoids

HW
New PH pg. 308 # 1-15, 17, 19-24, 29, 32
New PH pg. 315 # 1-18
New PH pg. 315 # 19, 21-32, 37 - 39
New PH pg. 332 #1-18, 22-34, 41-46, 50-53
New PH pg. 338 #1-6, 8-16, 20-38
New PH pg. 357 # 1-10, 13-29
Review Quadrilaterals    WORD   pdf

PH pg. 451a#1-10, 17-24
PH pg. 451b#15, 16, 29,30
PH pg. 457 #1-21 odd, 27,28
Complete chart on pg 462
PH pg. 465 #1-9, 12-15,17, 29-31
PH pg. 473#1-8, 12-16,22,24
AW pg.210 # 1-20, 26-28
AW pg. 216 #1-18, 22-28
PH pg. 490 # 1-16

Unit 4
Activities
Changing Size or Shape ?    WORD   pdf
Exploring Ratios
Ratios in the Sun     WORD   pdf
Enlarging Ratios (not yet on web)
Similar Figures
Postulates of Similar Triangles
A Civil Surveying Activity

Notes - helps - project
Scale Factor Info   WORD   pdf
Fast Cats Run Pretty Darn Quick    WORD   pdf

So you want to be an Architech?
Scale Project:    WORD   pdf
Dot paper for project
 

HW
New PH pg. 368 #1-19 odd, 21 - 24, 26-28
New PH pg. 375 # 116, 21-26, 32-35
New PH pg. 400 # 1-27, 31-33, 36 - 38
New PH pg. 407 #1,2,4,5,8-13,14,16-19,33-38
New PH pg. 649 #20, 30-33

PH pg. 499# 1-10, 13 - 26, 31-33
PH pg. 514 # 1-19, 24-31
PH pg. 520 #1-16,18,20-22,25,28-31
PH pg. 527 #1-7,9,11,12,14,15,18-20
PH pg. 533 #1-4, 7,9, 10-14
PH pg. 540#1-19 (Review)

Unit 5: Pythagorean Theorem Revisited & Proved- This unit begins with investigations that use knowledge about Right Triangles and the Pythagorean Theorem. It then looks at the 3 main trigonometric ratios - Sine, Cosine, and Tangent. Using these ratios, student will find indirect measurements of unknown distances.

Unit 5
Activities
Investigating Right Triangles    WORD  pdf
Radical Review   WORD   pdf
Proving Pythagoras
Right Triangle Problems    WORD   pdf

Notes- Add to Glossary
Sine , Cosine, Tangent
to look at...
Animated Proof of Pythagorean Theorem

HW
PH pg. 547 # 1-4, 9-22
PH pg. 554 # 1-3, 6-14
PH pg. 558 # 1- 12

Yellow Book (in class)
Pg. 315 # 1-12, 19-24
Pg. 338 #1-21 (All)

Unit 6: Circles- Chords, Secants, Tangents
After classifying the components of a circle like Radii, Arcs, central Angles, etc. the students will investigate what the properties of Chords and Tangents of a circle are. They will develop these concepts along with concepts relating to lengths of segments and angle measures in a circle.

PH pg.588 #1-6, 11-18, 21-26, 27, 29, 35
PH pg.596# 1-8, 11, 13-16
PH pg. 623 #1-6, 11- 14
 

Yellow Book Pg. 387 #1 - 25

Unit 7: Polyhedra & Volumes of Solids
Students will build on their understanding of area and measurement in a plane. They will learn to recognize various figures in 3-D and be able to build the "net" figures for each. Helping them to "SEE in 3-D" will be work with Isometric and Orthographic Drawings of three dimensional objects. From their visual understanding of these figures, they will learn to recognize common space figures like prisms, cylinders, pyramids, cones, and spheres and compute their surface area and volumes.

Notes
Activities
  NCTM Illuminations - Drawing 3D
  NCTM - ISOMETRIC DRAWING TOOL
  NCTM Illuminations - net figures

HW
Kitchen Problem
New PH pg. 596 # 1 - 10
New PH pg. 601 # 1-9
New PH pg. 611 # 1 - 15
New PH pg. 620# 1 - 13
New PH pg. 627 # 1 - 7, 9-11, 14, 17-19
New PH pg. 627 # 12 - 14, 25 - 29, 34, 35
New PH pg. 634 # 1 - 13, 16-18, 21 - 24
New PH pg. 640 # 1 - 19 odd, 24,29, 31, 40-42