Section 3.1

pp. 111-118;

-From resource material on Polynomials here; pp.42-43:

P1; #2.8

P2; #2.14

P3; #2.18

P4; Construct a parallelogram using Geogebra having opposing parallel sides with slopes 3 and -2, respectively, and the area of the parallelogram is  . (Print off a screen shot of solution for portfolio.)

-Course Introduction

-POLYNOMIALS in R[x].

-today's notes here.

-Rational Roots Theorem; Factor Theorem; Conjugate-Complex Roots Theorem; Conjugate-Irrational Roots Theorem; Graphing.

Section 3.9

pp.165-177

Exercises for the High School Classroom: p.177;

P5; #1

P6; #2

P7; #3

-Intro to Algebra Tiles; teaching factoring for secondary teachers, the ac-method.

Day 2 lecture problems here.

Section 3.1; pp. 117-118.

P8; #2

P9; #6

P10; #10

P11; #12

P12; Use Geogebra to make a triangle having the same area as the quadrilateral at the points: (2,2)  (4,5)  (9,6)  (10,3). (Print off a screen shot of solution for portfolio.)

-Conclusion of Algebra tile material.

-Sect. 3.2

Section 3.2

pp. 120-126.

pp.125-126:

P13;#2

P14;#4i-iii

P15;#5i-iv

P16; #6

-Brief overview with discussion of Groups, Rings and Fields.

-Diophantine equations of polynomials notes here.

-Project 1

-Project 2

-Project 3

-Project 4

-Common Core Standards here.

p. 135

P17; #4ii.

P18; #5ii.

p. 217

P19; #14i

P20; #14iv.

Review day

Sect. 3.5; p.145:

P21; #4ii and iii.

p.185

P22; #16.

Sect. 3.7-Polynomial Congruences

Sect. 3.7; pp. 159-160:

P23; #2.

P24; #4 i and ii.

P25; #6 i-iii.

P26; #8.

P27; #10.

P28; #12.

P29; #14.

-Ch.3 Conclusion

-Ch.5; 5.4 Rings, Subrings and Ideals

From Chapter questions, p. 185:

P30; #18.

P31; #20.

P32; #22.

From Section 5.4, p. 303:

P33; #10.

P34; #12.

P35; #16.

From Section 5.6, p. 312:

P36; #2ii and iii.

P37; #4.

P38; #6.

P39; #8

P40; #10

P41; #12

-Continued Fractions for Teachers

-ppt lecture notes on contd. fractions here

-another contd. fractions resource here.

-Diophantine equations in Z[i]

M2 key here.

Math 250 Construction project here.

p.335; Section 6.1

P42; #6

P43; #8iii (build radical tower over Q)

the following four problems are from the handout: Binomial Expansion found here.

P44; #3.9

P45; #3.13i

P46; #3.14iii

P47; #3.17

p.342; Section 6.2

P48; #1i, ii, iii, v.

P49; #2

From pp. 56-57 in Dr. Vega's notes:

P50; #15a

P51; #18

P52; #29 (find minimal polynomial over Q(sqrt5) part only.)

P53; #30

P54; #38

Minimal Polynomials II

and Splitting Fields

Group work and in-class reporting out of problem-solving.