Chapter 3: Quadratic Equations

We are now going to focus specifically on quadratic polynomials.  We will be adding to our factoring rules and also finding other ways to find zeros.  Additionally we will graph these important functions and learn how to write equations that a quadratic and go through specific points.

12/15  3.01  Getting Started
                    CW/HW p.153-154/1-15
12/16  3.01  Deriving the Monic Quadratic Formula
                    CW p.155 In-Class Experiment   HW use formula on monics on p.153-154, also do p.154/16
12/17  3.02  Deriving the Quadratic Formula
                    HW p.160-161/12-19, 21, 27
12/19           Extra Solving Practice
                    HW finish handout

12/22           Partner Quiz of Efficient Solving Strategies
12/23           D-Block: Math Games

12/24 - 1/04  Christmas Break

Note: After the Half Day, C-Block will be a day behind D-Block until February break

Date	C-Block	D-Block
1/05	3.04 Factoring non-monic Quadratics HW read Minds in Action p.167-169, finish handout and do p.170/1, 2, 4, 6	3.04 Factoring non-monic Quadratics HW read Minds in Action p.167-169, finish handout and do p.170/1, 2, 4, 6
1/06		3.03 Building a Quadratic Equation from its roots HW finish packet and p.165-166/1, 3-8, 10
1/07	3.03 Building a Quadratic Equation from its roots HW finish packet and p.165-166/1, 3-8, 10	Graphing from Factored and Vertex Form HW finish handout
1/08	Half Day B A G F (no class)
1/09	Graphing from Factored and Vertex Form  HW finish handout	Graphing from Standard Form  HW finish handout
1/12	Graphing from Standard Form HW finish handout	Extra Graphing Practice (to and from equations) HW finish handout
1/13		Graphing and Equations Quiz
1/14	Extra Graphing Practice (to and from equations)	Modeling with Quadratics - Day 1 (version with notes)
1/15	Modeling with Quadratics - Day 1 (version with notes)
1/16 I am out	Graphing and Equations Quiz	Modeling with Quadratics - Day 2
1/19	Martin Luther King Day - no school	Martin Luther King Day - no school
1/20		Review of Quadratics so far (start big graphing extra practice)
1/21	Modeling - Day 2 (start big graphing extra practice)	Getting Started 4.01
1/22	Review of Quadratics so far
1/23	Ch 3 Test	Ch 3 Test

The list of skills required, with worked examples, can be downloaded here.

Chapter 2: Polynomials

Chapter two moves into a topic that we will be coming back to over and over during the year.  To make sure that you are keeping up with the ideas covered in the homework, there will be a homework quiz every week of this unit.  Make sure you do your homework and ask questions!

11/05  After the test, do the function rule problems on the handout.
11/06  C-Block: Showing Expressions are equivalent
                         CW p.65-67/1, 2, Minds in Action p.68-69
                         HW p.72-74/1-4, 7-13, 16 (Take-it-Further parts are optional)
11/07  C-Block: Extra multiplying and function formula practice
           D-Block: Showing Expressions are equivalent
                         CW p.65-67/1, 2, Minds in Action p.68-69
                         HW p.72-74/1-4, 7-13, 16 (Take-it-Further parts are optional) and page 1 of handout

11/10  2.03  Zero Product Property
                  CW p.79/1-4, 6   HW p.79-80/7-15
11/11  Veterans' Day - no school
11/12  2.04  Transforming Expressions
                    HW p.83-84/1-8
11/13  C-Block:  Extra practice (click here for worksheet and answer key)
11/14  2.06  Polynomial Vocabulary (Quick HW Quiz of 2A)
                    HW p.97-98/3-9, 11, 12 and p.102-104/1, 2, 4, 18, 19

11/17  2.04 & 2.06  More practice expanding and factoring
                    CW/HW handout with extra problems
11/18  2.07 Normal Form (also called Standard Form)
                   CW/HW p.103/5-11, 13 , 17-19
11/19  2.08 Arithmetic with Polynomials  
                   HW p.106-108/1-4, 6, 11-13, 15, 18, 21
11/21  2.10  Factoring Difference of Squares (Quick Quiz of 2A and 2B)
                   CW/HW p.121-123/1,4,5,13,14,16,19-21,25,26  and  p.116/11

11/24  2.11  Factoring Sums and Products - Splitting the Middle Term and Grouping
                   HW  finish handout plus p.130-132/1, 2, 4, 6, 9
11/25  D-Block:  2.11  Factoring Sums and Products - Substitution
                   CW/HW p.130-132/3, 7, 8, 13
11/26  Half Day (A C F H)  2.11  Factoring Sums and Products - Substitution
                   CW/HW p.130-132/3, 7, 8, 13

12/01  Parent Conferences - no school
12/02  D-Block:  Review techniques and polynomial vocabulary so far
                   HW finish handout (copy of handout with answer key)
12/03  D-Block: Quiz of 2A, 2B and Factoring
                   HW Expanding Perfect Squares
           C-Block:  Review techniques and polynomial vocabulary so far
                   HW finish handout (copy of handout with answer key)
12/04  C-Block: Quiz of 2A, 2B and Factoring
                   HW Expanding Perfect Squares
12/05  2.12  Factoring by Completing the Square (monic, even "b")
                  HW p.138-142/1-3, 7, 8, 11, 12, 17, 20, 22 (I will collect 11 and 12)

12/08  2.12  More Practice with completing the square (odd or irrational "b")
                  CW/HW p.139-142/5, 6, 9, 10, 13, 14, 18, 19, 21
12/09  Start Chapter Review (after Quick HW Quiz of 2C)
           (answer key courtesy of Ms. Sheppard-Brick)
12/10  Continue working on Review of Chapter (extra factoring practice and the answer key)
12/12  Test of Chapter 2

Chapter 1: Exponents and Radicals

We are backing up to Chapter 1 in the book to look at radicals and exponents.  Some of the material will be review and other parts will be new.  Make sure you are keeping up and asking questions - this material will be important for the rest of the year!

10/21  D-Block takes the Ch 6 Test
10/22  C-Block takes the Ch 6 Test
           D-Block: Arithmetic with Radicals (1.03)

                          HW p.10-11/4, 5, 10  and   p.14-15/1, 2, 4-6, 9, 10

10/23  C-Block: Arithmetic with Radicals (1.03)

                          HW p.10-11/4, 5, 10  and   p.14-15/1, 2, 4-6, 9, 10

10/24  Rational and Irrational Numbers and Expressions (1.04 and 1.05)

           HW p. 17-19/1, 2, 5, 6, 8, 9  and  p.26-27/1, 2, 6, 7, 9, 16, 17

10/27  Nth Root Radicals (1.06)

           CW p.29/1-5, Start worksheet   HW p.31-32/3, 6, 7, 10 and finish worksheet

10/28  Laws of Exponents (1.08)

           CW pages 1 - 4 of handout   HW p.39-41/4, 5, 8, 11, 13, 16-18, 21-23

10/29  Zero and Negative Exponents (1.09)

           CW pages 5 - 6 of handout   HW p.44-46/1,4,6,10,11,15,17-19 (don't use calculator on #11)

10/31  Fractional Exponents (1.11) (End of Term 1)

           CW pages 7 - 8 of handout   HW p.52-53/8,10,11,13,14,17,19,20 (best estimate on #11)

11/03  Review (answer key for handout, try the book problems too!)
           CW p.56-58/1,2,9,10,13,16   HW p.33/1-8 (#4 just simplify left side) and p.59/2,3,5,8

11/04  Ch 1 Test

Quadrilaterals and their Properties

Our last section of Chapter 6, 6D, concerns quadrilaterals and when you can learn about them by using your proof skills.  (Please note that the dates below are for D-Block.  All the Tuesday/Wednesday assignments are on Wednesday/Thursday for C-Block.)

10/06  Definitions in general, quadrilateral definitions in particular

           HW prove the properties of isosceles trapezoids and kites

10/07  CW p.512-513/1-8;  Prove the properties of parallelograms

           HW prove the properties of rectangles, rhombuses and squares

10/08  CW p.522/2-13;  Converses - how can I prove I have a special quadrilateral?

           HW finish handout

10/10  Extra Practice using Quad Properties

           HW finish handout

10/13  Columbus Day - no school

10/14  Review for quiz

           CW/HW p.518-520/1-7, 9-28 and p.524/1-8

10/15  Quick Quiz on Quadrilaterals (section 6D)

           HW Start reviewing for Ch 6 Test

10/17  Finish review

10/20  Extra Quadrilateral Review Activity
10/21  D-Block: Ch 6 Test
10/22  C-Block: Ch 6 Test

More with Proof

9/19  Getting Started [6.08] HW p.479-480/1-6  and  p.488/4 - 9

9/22  Different Styles of Proofs [6.09] p.483-486/2-6, 8, 9, 11 (must use each style at least once)
9/23  D-Block: Visual Scan and Flow Chart [6.11]  CW p.492/3  HW p.492-494/2, 4, 5, 6, 9, 10
9/24  C-Block: Visual Scan and Flow Chart [6.11]  CW p.492/3  HW p.492-494/2, 4, 5, 6, 9, 10
         D-Block: Reverse Scan [6.12]  HW p.497/1-7
9/25  Rosh Hashanah - no school
9/26  Detour Proofs  CW/HW Worksheet of proofs  (I will be out)

9/29  C-Block: Reverse Scan [6.12]  HW p.497/1-7
         D-Block: Set-up and Critique [6.13]  CW p.500-501/2, 6  HW p.500-504/1, 3, 4, 5, 9, 12
9/30  D-Block: More Practice [6C Reflection] p.505/1-8
10/1  C-Block: Set-up and Critique [6.13]  CW p.500-501/2, 6  HW p.500-504/1, 3, 4, 5, 9, 12
         D-Block: Review (download the document here, and the answer key - though some of the proofs are different)
10/2  C-Block: Review
10/3  Quiz of Proofs   HW write down everything you know about quadrilaterals (both general case and specific types)

Moving into the book...

We are starting the year with Deductive Geometry - an extension of the work we did using GeoGebra.  This is Chapter 6 of our textbook (we will go back and start at the beginning when this unit if finished).  Deductive geometry is about following a logical flow of reasoning to reach a valid conclusion - much like a lawyer presenting a case to a jury, or you making a case to your parents why you should be allowed to do something they don't want you to do.

9/05  Reviewing Triangle Congruence [6.0]  HW worksheet

9/08  Harder Triangle Congruence Examples HW finish handout
9/09  D-Block: Moving from justifying to writing a proof [6.05]  HW redo 9-15 of 9/08 handout and p.430-433/13-15
9/10  Vocabulary Quiz, Polygon Angle work  HW finish worksheet
9/11  C-Block: Moving from justifying to writing a proof [6.05]  HW redo 9-15 of 9/08 handout and p.430-433/13-15
9/12  Vocab for three lines [6.06]  CW p.466/4  HW p.466,468/5-8, 11, 12

9/15  Parallel Postulate, theorem converses [6.07]  CW/HW p.472-476/1, 3, 4, 7, 8, 14, 15
Day 2  Practice/Review (here is the list of postulates and theorems)  HW work 45 minutes on packet
Day 3  More Review HW finish packet and prepare for quiz (see p.450-451 and p.477 for more problems)
9/19  Quiz of Angles and Proofs  HW Getting Started [6.08] p.479-480/1-6 and [6.10] p.488/4-9

First bit of learning...

We will start the year with a computer lab.  This will allow you to learn about a (free) program called GeoGebra - useful for trying out ideas - an also to explore the concept of invariance.

The schedule is a little chaotic these first few weeks and I have two sections that meet different days so I will try a table to make it less confusing.  Pay attention to which room we are meeting in.

Date	C-Block	D-Block
8/27	-	Start GeoGebra Lab in Classroom, HW: download GeoGebra at home, finish Investigation A
8/28	Start GeoGebra Lab in Classroom, HW: download GeoGebra at home, finish	-
8/29	No	School
9/1	Labor	Day
9/2	-	Computer Lab 503: Continue Computer Lab, HW: finish through Investigation D
9/3	Computer Lab 700: Continue Computer Lab, HW: finish through Investigation D	Computer Lab 503: Follow-up Investigations, HW sheet of extra problems
9/4	In Classroom: Follow-up Investigations, HW sheet of extra problems	-

Welcome!

Welcome to my blog for this course. Math 2 will teach you to approach topics more like a mathematician - using all that you know, whether it be from the algebraic world of math or the geometric world. You will also learn what you can do when problems are so challenging that you are not sure you can solve them.  (Hint: you can always do something!)

This blog will provide you with a syllabus and homework.  Maybe suggestion too. ;-)

It is going to be an exciting year: new school, new friends, new challenges.  Make sure you keep up!  Remember, I am here to help you.  Just ask me.