Similarity and Right Triangle Trig

We will be combining bits of Chapter 7 with other parts of Chapter 9.  Similarity is a big topic that spreads its ideas over many other parts of mathematics (just like transformations!) so we will be spending quite a bit of time on it.

11/26  7.05  Proportion Practice for B-Block
11/27  7.05  Proportion Practice for F-Block Half-Day before Thanksgiving A C F H

12/09  7.13, 7.14  Define Similarity
           CW p.594/10, p.596/3, 4, p.597/5, 1, p.598/2,3,5   HW p.598-599/6-10
12/10  7.15  Tests for Similarity
           CW p.605/1-5    HW p.605-606/6-13, 15
12/12  7.11, 7.12  Proving Proportional Sides
           CW p.584-585/2, 3 and p.589/4     HW p.585/4, 5, 7, 10  and  p.588-590/1-3, 6, 7, 11

12/13  More Practice/Review
           CW/HW Packet of practice problems (with answer key)

12/16  First Similarity Assessment

12/17  9.06  Getting Started with Similar Right Triangles
           CW p.737-740/1, 4, 13    HW p.738-740/2, 3, 5, 7, 9, 12
12/19  9.07  Special Right Triangles
           CW p.744/1-4   HW p.744-745/5-8, 10-12, 14
12/20  9.08  Special Ratios
           CW p.749-750/1 - 12

12/21-1/02  Christmas Break

1/03  Snow Day

1/06  Recap of Similarity and Right Triangles
         CW handout  HW p.750-752/6-13, 15-18, 21-23 (you may have done 6-12 already)
1/07  9.09  Finding triangle Area
         CW p.756-757/1-5    HW p.757-759/6, 9, 10, 12, 14, 16
1/09  7.16  Area of Similar Triangles  Half-Day BAGF
         CW In-Class Experiment p. 608   HW p.611-612/1, 2, 4-6
1/10  Area of Similar Figures
         CW Additional Practice 7.16/1-7   HW p.611-612/3, 7-12

1/13  Surface Area
         CW/HW handout on scaling figures in 3D
1/14  Review
1/16  Second Similarity Assessment
1/17  Introductory Volume Discussion,  End of Term 2

Quadrilateral Proofs

After Thanksgiving but before starting Similarity, we do a week of learning all about quadrilaterals.

12/02:  Define Quadrilaterals (special and otherwise)
             HW   6.14 p.507/4, 5, 6    6.16 p.510/5, p.512-514/1-8, 12-17
Day 2:  Exploration of Special Quad Properties
             HW finish exploration handout
12/05:  Go over exploration
             HW finish handout of extra problems
12/06:  Write proofs and present
             HW write two more proofs (graded like a quiz)

On December 3rd, the entire math department will have a special professional development day.  Therefore, B-Block will have a substitute for Day 2 but I will be in class for F-Block's Day 2.

All about Circles

The next unit is going to build on the initial work we did with circles.  We will be in Chapter 8.  The chapter starts with geometric facts about circles and ends with proofs about circles.  In the middle we will do some algebra with circles so we will cover circles from all different branches of math.

10/28  After Transformation Quiz: 8.02 HW p.631-632/5-8 (using handout)
10/29  8.05  Area of Circles and Sectors
           HW p.646-649/1-4, 6, 8, 10
10/31  8.06, 8.07  Perimeter of Circles and Arc Length
           HW p.658-660/4, 8-10, 12-14
11/01  8.08, 8.09  Arcs and Central Angles  End of Term 1
           CW/HW p.669-671/1, 3, 4, 8, 9

11/04  8.10  Chords and Inscribed Angles
           CW handout with exploration,   HW p.677-679/5, 8, 10, 13, 15

11/05  8.11 Circumscribed and Inscribed Circles
           CW/HW p.683-686/1, 2, 5, 7, 8, 10, 12, 14, 15

11/07  Mixed Practice (I am out)
           CW/HW Packet of Additional Practice Problems for 8.05-8.10
11/08  8.12 Secants and Tangents to Circles (I am out)
           CW/HW Packet of Secant and Tangent Problems

11/11  Veteran's Day - no school
11/12  Review
11/14  Quiz of Circles so far
11/15  Start Proofs with circles (from section 8.09, 8.10, 8.12 and 8.13)
           CW/HW p.670-671/5, 6, 7, 11a, 13

11/18  More Practice with Proofs
           CW p.486/11, p.676/7 and p.678/9   HW p.677-678/6, 11, 12 and p.699/1  and p.701/5

11/19  Quadrilaterals and Proofs

           HW finish handout

11/21  Professional Development Day - no school

11/22  Review

11/25  Circle Proof Quiz
11/26  Dilation Activity

11/27  Half Day A C F H

11/28  Thanksgiving

Transformations

10/18  Basic Functions (and the unit circle) (4.14, 4.15)
           HW p.335-337/1-9, 20 (use 2^x rather than 3^x), 24, 25 and p.345/8, 13-15

10/21  Translating (4.16)
           CW/HW p.352-355/1, 2ab, 3ab, 5-7, 9-15
10/22  Scaling and Reflecting (4.17)
           CW Graphing exploration   HW p.361-363/1-4, 9, 13-15
10/24  Writing Equations from Graphs, Writing Verbal Descriptions
            HW finish handout
10/25  Review of the different Transformations and their effects on the Basic Functions (answer key)

10/28  Transformation Quiz

Quadratics Unit (remember last year ?)

The quadratics questions on the Year Opener did not go so well - we review.  There will be periodic, unannounced exit tickets to see how the review is going.  Keep up with your homework and ask questions in class!  If there are still difficulties, there may be more days of practice and the schedule will be pushed a bit.  A quiz may be added if the unit is getting very long.

Remember: Tuesday Homework Help in rm 816,  Wednesday Homework Help in rm 823

09/23  Post-Quiz warm-up problems
09/24  Review Factoring (2.11)
           CW p.128-129/2 - 5   HW p.130-131/3, 4, 6, 7, 13 (#13 is extra practice)
09/26  Review Completing the Square
           CW/HW p.138-142/1, 6, 14, 20, 22
09/27  More Completing the Square, including non-monics
           HW Worksheet of Extra Practice

09/30  Non-Monic Quadratics
           CW p.170-171/1, 9    HW p.170-171/4, 6, 10
10/01  Derive the Quadratic Formula
           CW p.160/1-8    HW p.160-161/12-17, 19, 21, 25, 27
10/02  Back to School Night
10/03  Mixed Practice of Solving Methods (using factoring, completing the square, quadratic formula)
           CW/HW Worksheet of problems
10/04  Quick Quiz, Graphing Quadratic Functions from Factored Form
           CW/HW Graphing Packet

10/07  Graphing Quadratic Functions from Vertex Form
           CW/HW Graphing Packet
10/08  Writing Quadratic Equations from given information
           CW/HW St. Louis Arch Packet
10/10  More Practice with all methods
           CW/HW Review Packet
10/11  Vertex Form as Transformation Form
           CW/HW Graphing Packet to link Quadratics to the next unit, catch up on undone homework

10/14  Columbus Day
10/15  Review Solving and Graphing (Review Problems and the Answer Key)
10/17  Test of Quadratic Functions

First work

Welcome to Math 2B/3A.  This year we will finish the Math 2 book (mostly quadratic functions, similarity, right triangle trig, area and volume) and start the Math 3 book (mostly polynomials, series and statistics).  There is a lot of variety in the topics and I hope you find them interesting.  I am here to help so please make sure you ask questions in class and/or come see me outside of class if you are having difficulty.

I have two sections of this class: B-Block and F-Block.  The syllabus listed is for B-Block.  The only difference for F-Block is that the listings for Tuesdays happen on Wednesdays.

The first quick unit is a review of exponents and radicals.

9/05  Rosh Hashanah - no school
9/06  Year opener (to see what you remember)

9/09  Radicals (1.02, 1.03) - Definition, Rules
            CW p.10-11/4, 5, 10;  p.12/1-4;  p.14/6     HW p.10-11/6, 7, 9;  p.14-15/1, 9, 10
9/10  Simplifying Radicals (1.04)
            CW p.16/1-4;  p.17/5-8;  p.18/6     HW p.18-20/5, 8, 9, 11
9/12  Radicals and Roots (1.06)  Half Day C B A G
            CW p.29/1-7;  p.31/2, 3       HW p.31-32/5, 6, 7, 10 (for #5, just simplify the left side)
9/13  Extra Practice (in class for B-Block, download here for F-Block)

9/16  Review Exponent Rules
             CW Getting Started p.35/1-5   HW p.36/6-9, 11 (Hint for 11: 81 = 3 raised to what exponent?)
9/17  Catch up on ideas, start Rational Roots (1.11)
9/19  Rational Roots (1.11)
             CW p.54/1,2;  p.56/3-5;  p.56-57/1-3, 6    HW p.57-58/9-11, 13, 15, 16
9/20  More Practice/Review Activity (and more Review Materials - with an answer key)

9/20 Quiz of Radicals and Exponents