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

Quadrilateral Congruence

We will spend some time in class - and you will spend some time outside of class - learning about quadrilateral congruence. We studied triangle congruence. How much did you need to know about two triangles to know that they were the same size and shape. Only three pieces of information were necessary if they were the right three pieces: ASA, SAS, SSS. There are more trios but we do not have enough theorems to prove them yet. We do have enough skill to determine which things we need to know about two quadrilateral to prove they have the same size and shape.

Your job is to work through the list of possible combinations of sides and angles for quadrilateral congruence. Prove the ones that can be proved. Provide counterexamples for the ones that cannot be proved. Write it all up neatly. Number the pages. I will grade it.

10/19   Discuss the problem and begin exploring
10/20   Discuss strategies for proving and disproving
10/21   Practice finding counterexamples

10/26   Write-up is due

Finishing Ch 4

10/12  Isosceles and Equilateral Triangles (Ch 4, Lesson 5)
           HW read p.157-159, do p.159-162/12 - 48
10/13  SSS (Ch 4, Lessons 6)
           HW read p.163-164, do p.165-167/9 - 43
10/14  Extra Proof Practice
           HW make plans for worksheet proofs, do p.176-180/7-36,48,51,52

10/18  Test of Ch 4
           HW read Constructions (Ch 4, Lesson 7) p.169-171 and do p.172-174/1 - 38

The beginning of Chapter 4: Congruence

10/04  Quiz of Ch 3, and an angular activity
           HW finish write-up of activity
10/05  Polygons and Congruence (Ch 4, Lessons 1 & 2)
           HW do p.137-138/40-49, read p.139-141, do p.142-145/12-19, 34-55 and (optional) Set 3
10/06  ASA and SAS (Ch 4, Lesson 3)
           HW read p.146-147, do p.148-150/10-18, Sets 2 & 3
10/07  Professional Developement Day (no school)

10/10  Columbus Day (no school)
10/11  Congruence Proofs (Ch 4, Lesson 4)
           HW read p.151-152, look over p.153/Set 1, do p.154-155/Set 2 and p.179/48