Notes for the Final Exam

H-Block Review 6/12 1:00 - 2:25 Answer Key for Previous Finals

The final is on Wednesday, June 13th from 12:00 to 1:30.  You can stay until 2:00.  You should get there a little before noon so you can get settled, return your book, etc.

For the final you need to bring:

•    pencil (please do not take your final in pen)
•    eraser (no sharing of anything!)
•    calculator (you may want to bring extra batteries just in case - no sharing!)
•    book

H-Block in room 616 (I will be with you 1:30 to 2:00)

Where I will be the other times:

   room 615  12:00 to 12:30 

   room 613  12:30 to 1:00

   room 614  1:00 to 1:30

You can find me and ask questions at any time but it would be better if you wait until I am in your room or just next door.

Reviewing for the final

We have a packet of problems and access to old tests at the LHS Math Final Exam Archive.  You will work on them for 3 days in class and then we will have one 80 minute long block for you to ask any question about any unit, any test, any problem from the year.

6/05  Bio MCAS (D A G H E)  Review Day 1
6/06  Bio MCAS (C E F H A)  Review Day 2
6/07  Volume (Ch 15) Test
6/08  Review Day 3

6/12  Ask your questions day
6/13  Math Final 12pm - 2pm
6/19  Ask about your grade

You may do a makeup Question-of-the-Week quiz during the review week to replace your lowest grade on the six timed quizzes.  It will only take you 15 minutes.

Geometric Solids (Volume)

Chapter 15, the last unit, and a 3D one at that.

Question of the Week: Angle Relationships
5/22  Post Test homework: read p.618-620, Set 3 on p.625, and p.626-627 (lesson 1)
5/23  Prisms, definition and volume (lessons 2, 3 & 4)
         HW p.630-632/14-17,21-28,32-47 and p.636-637/16-37 and p.643-645/16-28,31-33,47-53
5/24  Pyramids (lesson 5)
         HW p.649-653/10-41, 48-57
5/25  Cylinders and Cones (lesson 6)
         HW p.656-661/10-20, 27-37, 42-64

Question of the Week: Intersecting Lines
5/29  Spheres and Frustums (lesson 7 and some extra)
         HW p.666-669/7-54
5/30  Similar Solids (lesson 8)
         HW p.672-675/1-50
5/31  Regular Polyhedra (lesson 9)
         HW p.678-682/do as many problems as  you can
6/01  Review problems
         HW p.684-687/9-56

6/07 Test of Geometric Solids (not on the 5th or 6th because of MCAS)

Polygons and Coordinate Proofs

We will put two short units together for the next test, Chapter 14 and a worksheet based unit on Coordinate Proofs.

5/04  Regular Polygons (Lesson 1 of Ch 14)

          HW (due 5/08) p.576-578/18-61 and p.581/10-14, p.584/49-58

Question of the Week: Circles

5/08  Perimeter and Area (Lessons 2 & 3)

         HW (due 5/11) p.582-584/15-48 and p.588-590/12-40

5/09  Ch 13 Concurrency Test

5/10  No Class due to MacBeth Performance but...Circle Perimeter and Area (Lessons 4 & 5)

         HW (due 5/11) p.594-597/10-51, 57-63 and p.600-604/1-24, 31-38, 47-52

5/11  Sectors and Arc (Lesson 6)

         HW p.607-611/12-70 and Set 3

Question of the Week: Area

5/15  Math MCAS (A G H B)  Coordinate Proofs Day 1

5/16  Math MCAS (C E F H D)  Coordinate Proofs Day 2

5/17  Coordinate Proofs Day 3

5/18  Review Polygons and Coordinates

5/22  Test of Polygons, Circles and Coordinate Proofs

Concurrency (Ch 13)

We start the study of concurrency in the computer lab exploring.  After vacation we will put what we learned into context when we go back to the book.

4/11  First day in Computer Lab 700
4/12  Second day in Computer Lab 700
4/13  Third day in Computer Lab 700

April Break 4/14 - 4/22

Question of the Week: Solving Triangles
4/24  Review vocabulary (lessons 1 and 2)
         HW p.532-535/15-21, 26-29, 41-45, 49-53 AND p.538-539/1-31
4/25  Inscribed and Circumscribed Circles (lesson 3)
         HW p. 544-547/3-62
4/26  Centroid and Orthocenter (lesson 4)
         HW p.550-553/14-56
4/27  Go over Computer Lab and all we have done so far
         HW p.540-541/32-57, Set 3  AND  p.547/Set 3  AND  p.553/Set 3

Question of the Week: Similarity
5/01  Napoleon's Theorem (lesson 5)
         HW p.564-565/35-60
5/02  Review
5/03  Half-Day C A G F (no class)
5/04  Regular Polygons (Lesson 1 of Ch 14)
         HW (due 5/08) p.576-578/18-61 and p.581/10-14, p.584/49-58

Question of the Week: Circles

5/08  Perimeter and Area (Lessons 2 & 3)

         HW (due 5/11) p.582-584/15-48 and p.588-590/12-40

5/09  Ch 13 Concurrency Test
5/10  No Class due to MacBeth Performance but...Circle Perimeter and Area (Lessons 4 & 5)
         HW (due 5/11) p.594-597/10-51, 57-63 and p.600-604/1-24, 31-38, 47-52
5/11  Sectors and Arc (Lesson 6)
         HW p.607-611/12-70 and Set 3

Ch 12: Circles

Circles will be the unit that puts more ideas together than we have seen before.  It actually can serve as a review of the year to date.  There are many relationships to learn but if you understand where they come from, you will have a better chance of remembering or rederiving them on the fly.

3/22  Lesson 1:  Circles, Radii, and Chords
         HW p.488-490/Set 2
3/23  Unit Vocab plus Lesson 2:  Tangents
         HW p.494-496/24 - 34, 39 - 53

3/27  Lessons 3 and 4:  Central Angles and Arcs, Inscribed Angles
         HW p.500-503/1 - 18, 23 - 29, 43 - 47, Set 3
3/28  Prove three cases for Inscribed Angles
         HW p.507-509/26 - 58, Set 3
3/29  Lesson 5:  Secant Angles
         HW p.513-515/17 - 57
3/30  Extra Angle Problems (End of Term 3)
         HW finish worksheet

4/03  Lesson 6:  Tangent Segments and Intersecting Chords
         HW p.517-521/Sets 1 and 2
4/04  Extra Intersection Problems and Mixed Problems
         HW finish worksheet of proof problems
4/04  Review
         HW p.523-526/9 - 54
4/06  Good Friday, no school

4/10  Test of Ch 12

MCAS Week

The week of the English MCAS is a little crazy.

3/19  Regular schedule (no class for us)
3/20  Blocks: Hmrm G H A   We will go over the 2011 Math MCAS
3/21  Blocks: E F C D (no class for us)
3/22  Blocks: B A G H F  We will do the Clinometer Lab
         Ch 12, Lesson 1: HW p.488 - 490/Set 2
3/23  Start the Circle Chapter in earnest

Mid-Year Exam results

You can download the answer key for the mid year exam.
The average for all 8 sections was 20.425. The average for my class was 18.48.
For each problem, here are the overall vs my section averages:

1. 4.09  vs  4.54
2. 2.90  vs  2.52
3. 2.34  vs  2.1
4. 3.19  vs  2.96
5. 4.29  vs  4.16
6. 3.63  vs  2.2  (clearly due to the fact that 12 out of 25 didn't do the problem!)

My conclusion, pacing was an issue.  Let's work on it so the final is more enjoyable.

Ch 11 The Right Triangle

The next chapter provides a connection between similarity and right triangles. It then gives us our introduction to trigonometry. I have lots of supplementary materials so the seven lessons of the chapter will take three weeks.

2/28  Similarity and Right Triangles (lessons 1 and 2)
          HW p.431-432/Set 2 and p.438-440/42-50, 53-57
2/29  Special Right Triangles (lesson 3)
          HW p.445-447/Set 2
3/01  Extra Practice with Right Triangles
          HW finish worksheet of problems
3/02  The Tangent Ratio (lesson 4)
          HW p.450-453/17-34, Sets 2 and 3

3/06  Sine and Cosine Ratios (lesson 5)
          HW p.458-460/Sets 2 and 3
3/07  Mixed Practice
          HW Worksheet of Word Problems (plus...)
3/08  Slope (lesson 6)
          HW Coordinate Geometry and trigonometry worksheet
3/09  An Area Formula, the Law of Sines and the Law of Cosines (lesson 7)
          HW p.472-474/Sets 2 and 3
       
3/13  Extending the Law of Sines and the Law of Cosines
          HW Worksheet of extension problems
3/14  Mixed Problems, "Solving" Triangles
          HW Worksheet of extra problems
3/15  Review (summary p.475)
          HW p.478-480/35-64
3/16  Ch 11 Test of Trig and Right Triangles

Remember that the English MCAS is 3/20 - 3/22 so we will go over last year's MCAS test on 3/20.

Hints for the Similarity Review problems

First, in problem 5, the median should be AD (not AB). Secondly, also in problem 5, it may be helpful to draw a line that through D that is parallel to BQ.

Remember that you do not always need to prove some triangles are similar to get the ratios you need. Parallel lines and angle bisectors also give you useful ratios.

Topic List for the MidYear Exam

You can download the topic list here. Remember that the table of contents in the book also serves as a topic list.

The schedule up to February Break

We will have time to finish the Similarity Chapter before break but after the Mid-Year exam. Below is the schedule of how we will do it. All sections of Honors Geometry are getting two days of review before the exam.

2/07 AA Similarity and all that implies
          HW p.403-405/Set 2 and p.412/40-61
2/08 Review Day 1
          HW Work on proof problems
2/09 Review Day 2
          HW More problems to work on
2/10 Mid-Year Exam
          HW finish problems from Tuesday

2/14 Similarity Practice Problems (from another book)
          HW Finish worksheet of problems
2/15 Perimeters and Areas
          HW p.417-419/Sets 2 and 3
2/16 Review Problems
          HW finish worksheet, there are also review problems in the text
2/17 Ch 10 Similarity Test

2/18 - 2/26 February Break

Starting Similarity (Ch 10)

We will begin Chapter 10, the study of similarity. Our study will be interupted by the Mid-Year Exam on Friday, February 10th. It may be interupted again by February break. We shall see how we go on.

2/01 Sketchpad Exploration of Area (of similar squares)
        HW finish handout
2/02 Ratio and Proportion, Similar Figures
        HW p.389-391/Sets 2 and 3
2/03 Side-Splitter Theorem
        HW p.396-398/Sets 2 and 3

Area (Chapter 9)

We are beginning Area but this is a topic you know a lot about already and the chapter is short. It won't take long.

1/19 List what you already know about area
        HW p.341-342/Set 2 and p.346-347/Set 1
1/20 Work through some more of these problems
        HW p.347-350/Sets 2 & 3, p.353-357/Sets 1-3

1/24 Polyhedra and Tessellation Test
1/25 Work through even more of these problems
        HW p.360-364/Sets 1, 2 & 3
1/26 Prove the Pythagorean Theorem
        HW p.367-368/Set 1 and 2 (Set 3 is a bonus)
1/27 Worksheet of extra, harder problems from another book
        HW finish worksheet (check your answers here)

1/31 Test of Ch 9: Area!

Polyhedra

Polyhedra are 3D solids made of polygons. We are focussing particularly on polyhedra made of regular polygons. You should be able to determine information about them without actually building and counting. Every day there is a handout so the homework is to work your way through the packet.

1/10 Nets and Regular Polyhedra
1/11 Semi-Regular Prisms and Anti-Prisms
1/12 Half Day B A G F (no class)
1/13 Archimedean Solids (the rest of the semi-regular polyhedra)

1/16 Martin Luther King Day
1/17 Summary and Duals
1/18 Review of Polyhedra
1/19 Start Area

1/24 Test of Polyhedra

Tessellations

Tessellations are a fun way to put together what we have learned about transformations with triangles and quadrilaterals (among other shapes).

1/4 Introduction to Tessellations HW finish handout
1/5 Day 2 of Tessellations HW finish handout
1/6 Make your own tessellation HW mini-project

Transformations

This unit adds to what you know algebraically about transformations.

12/13 Review of Transformations, partially with software explorations. Here are the links:
                 Review Exploration
                 Point Exploration
           HW p.298-304 read Lesson 1, read and reflect on Set 1, do all of Set 2
12/14 Reflections and the other transformations they can make
           HW p.298-304 read Lesson 2, read and reflect on Set 1, do all of Set 2
12/15 Constructing reflections and composition of transformations
           HW p.312-316 read Lesson 3, do 21-25 and all of Sets 2 and 3
12/16 More on Transformations and Isometries
           HW finish handout

12/20 Transformations and Symmetry
           HW p.319-324 read Lesson 4, do all of Sets 1 and 2
12/21 Review/Summary
           HW p.325 read Summary, do p.326-329/11-50
12/22 Test on Ch 8: Transformations
12/23 A Cappella Concert
           HW Have a fun and relaxing break!

This link is just a fun way to review the basics.

Christmas Break: 12/24 - 1/3
Parent Conferences: 1/3

Ch 7: Quadrilaterals

This chapter really explores the properties of the "special" quadrilaterals: trapezoids, parallelograms, rectangles, rhombuses, and squares. You will need to be able to prove all the properties as well as having them mentally available to use.

11/23  Quadrilateral Properties Packet
          HW finish packet for class on 11/29
11/24  Thanskgiving

11/29  Going over the Packet
          HW read p.258-259, do p.260-264/5-21, 56-59 and read p.265-266, do p.267-269/4-9, 18-23, 31-50
11/30  Converse/Equivalence of Parallelogram Properties
          HW read p.270-271, do p.272-273/5-21 (if not done in class), 44-55, Set 3
12/01  Rectangles, Rhombuses, Squares and Trapezoids (Lessons 4 and 5)
          HW read and do p.276-280/19-22, Sets 2 and 3 and read and do p.281-285/16-28, 46-52, Set 3
12/02  What can you know about diagonals to determine a quadrilateral?
          HW finish handout

12/06  Midsegment Theorem and Midpoint Quads
          HW finish handout (look through Lesson 6 sets for hints)
12/07  Summary and Extra Problems
          HW read p.292, do p.293-295/17-55
12/08  More Extra Problems
          HW finish handout
12/09  Ch 7 Test of Quadrilaterals

Parallel Lines (Flat and Curved Surfaces)

Chapter 6 is about Parallel Lines. Chapter 16 is about non-Euclidean surfaces (ie curved surfaces) and what what happens to parallel lines if the surface isn't flat (Euclidean). We will be putting them together to compare and contrast the uber-important, as yet unproven, Parallel Lines Postulate.

10/28   Ch 6 Lesson 1: The perpendicular bisector
                        HW p.215-216/18-29, 33-37, 42-45
11/02   Ch 6 Lesson 2: Proving Lines Parallel and Lesson 3: Constructing Parallel Lines
                        HW p.222-224/7-40
11/03   Ch 16 Lessons 1 and 2: Saccheri Quadrilaterals Day 1
                        HW p.227-229/19-28, 42-47 and p.694/31-40, 44-46 and p.698-700/7-13, 42-48
11/04   Ch 6 Lesson 4: Parallel Lines and Angles
                        HW read p.230-231, do p.232-235/5-7, Set 2

11/08   Ch 16 Lesson 2: Saccheri Quadrilaterals Day 2
                        HW p.699-701/14-35, Set 3
11/09   Ch 6 Lesson 5: Triangle Angle Sum and Lesson 6: AAS and HL
                        HW p.240-241/31-46, Set 3 and p.247/31-50
11/10   Ch 16 Lesson 3: Lobachebsky and Riemann
                        HW p.704-706/Sets 1, 2, and 3
11/11   Veterans' Day - no school

11/15   Ch 16 Lesson 4: Revisiting the Triangle Angle Sum
                        HW p.709-712/Set 1 (must do!), Set 2 problems 21-32
11/16   Summary of Euclidean and Non-Euclidean Geometry
                        HW finish "neutral geometry" proofs in handout
11/17   Euclidean Problems from other textbooks
                        HW finish handout
11/18   Review Ch 6 and Ch 16: Extra Proofs
                        HW read p.249 and p.713, do p.252-254/25-55 and p.714-715/1-35

11/22   Test of Parallel Lines and non-Euclidean geometry

Inequalities (Ch 5)

This is a very short chapter. Keep up.

10/25   Lesson 1 (Inequality Properties) & Lesson 2 (Exterior Angle of a Triangle)
            HW p.188-189/45-48, Set 3 and read p.190-191, do p.192-194/1-15, Set 2
10/26   Lesson 3 (Triangle Inequality A) & Lesson 4 (Triangle Inequality B)
            HW p.197-199/read and consider Set 1, do Set 2 and do p.202-203/10 - 48
10/27   Summary and extension
            HW p.206-209/15-25, Set 2
            After we've had a chance to go over the homework), we'll have a quiz on Chapter 5. There will
            be just 2 or 3 questions, one of which will ask you to prove a major theorem from the chapter
            (Theorem 12, 13, 14, or 15).
10/28   Quick Quiz; Perpendicular Bisector (Ch 6, Lesson 1)
            HW p.215-216/18-29, 33-37, 42-45