Algebra 2 PreAP – Unit 5
Quadratics - Factoring, Solving, Complex Numbers
October 29th to November 14th
Date
Tuesday
10/28
Wednesday
10/29
Thursday
10/30
Friday
10/31
Monday
11/03
Tuesday
11/04
Topic
Assignment
Test on Matrices
Factoring Worksheet 1 (review of Alg 1)
Factoring (Day 1)
GCF, Diff. of Squares and Trinomials
Factoring (Day 2)
Trinomials in Quadratic Form
Factoring (Day 3)
4-Term/Grouping and Sum/Diff of Cubes
4.3 and 4.4 Solve Quadratic Equations by
Factoring
4.5 Solving Quadratic Equations by
Square Roots
Factoring Worksheet 2 – problems #1 – 16
Factoring Worksheet 2 – problems # 17 to 29
Factoring Worksheet 3
p. 256: #24 – 38 (even)
p. 263: #32 – 40 (even), 54 – 58 (even)
p. 269-270: #3 – 14 (all), 22 –33 (all)
Quiz on Factoring
p. 279: #3 – 11, 12 – 20(even), 22 – 27, 51 – 53
Thursday
11/06
4.5 Solve by Square Roots (cont’d)
4.6 Intro to Imaginary Numbers
TI-Nspire Activity – Complex Numbers
4.6 Complex Numbers, Conjugates and
Applications – Abs Value and Circuits
Friday
11/07
4.6 Complex Numbers, Conjugates and
Applications (cont’d)
Worksheet
Wednesday
11/05
Monday
11/10
Tuesday
11/11
Wednesday
11/12
Thursday
11/13
Friday
11/14
Progress Report 3
4.7 Solve by Completing the Square
4.7 Solve by Completing the Square
(cont’d)
Quiz – Solve by Factoring and
Square Roots, Complex Numbers
4.8 The Quadratic Formula and The
Discriminant
Review for Test
p. 280: #28 – 33 (all), 34, 36, 42 – 48(even),
#61 – 66 (all), 65 – 67 (all), 75
p. 288: #4 – 10(even), 22 – 32(even), 35 – 38(all),
#53 – 55(all)
p. 296: #14 – 20(even), 31 – 38(all), 40 – 45 (all),
#52 – 63(all)
Study for test
Test Unit 5 – Quadratics –
Factoring, Solving, Complex
Numbers
Coming soon: District Assessment – Wed, Nov. 19th
Factoring Worksheet #2
(GCF, Difference of Squares, and Trinomials in Quadratic Form)
Wed, Oct 29th # 1-16
Work on your own paper. Show all work.
2
1) 2 x  5 x  12
2
2) 3 x  14 x  15
2
3) 4 x  7 x  2
2
4) 5 x  17 x  6
2
5) 6 x  x  2
2
6) 10 x  3 x  1
2
7) 6 x  17 x  3
2
8) 3x  17 x  10
3
2
9) 5 x  30 x  45 x
4
2
10) x  3 x  40
3
2
11) 6 x  39 x  72 x
5
3
12) x  10 x  9 x
3
2
13) 18 x  39 x  15 x
14) y 6 n  5 y 3n  6
15) 1  64 y 6
16) x 4 y 4  16
Thur, Oct 30th #17-29
7
17) 2 x  25 x
1
21) 6 x  5 x 2  4
Work on your own paper. Show all work.
18) 15 x
2n
 7 xn  2
5
3
22) 3 x  3 x  36 x
1
19) x  3x 2  4
23) 16 x
6n
20) 1  y8
1
8n
24) 16 x  1
3
2
25) 6 x  13x  5 x
2
26) x  6
28) ( x  y)2  2( x  y)  1
29) 3(a  b)2  8(a  b)  5
Factoring Worksheet #3
(Four Term/Grouping and Sum/Difference of Cubes)
Fri, Oct. 31st
Work on your own paper. Show all work.
27) x 2 (a  b)  2 x(a  b)  (a  b)
3
1) x  1
3
2) 8 x  125
3) 27 x3  64 y 3
3
4) 16 x  2
3
2
5) x  2 x  9 x  18
4
3
2
6) 4 x  2 x  4 x  2 x
4
3
2
7) 4 x  2 x  4 x  2 x
3
2
8) x  2 x  9 x  18
4
9) 3 x  81x
6
10) x  1
5
3
2
11) 2 x  2 x  5 x  5
3 6
3 12
12) 27a b  8m n
6
4
2
13) a  a  9a  9
3
14) 8a  64
Mixed Factoring:
5
3
15) 2a  2a  24a
19) 4 x3 y  8 x 2 y  10 xy
4 3
3
16) 16a b  81b
1
1
17) 6m  19m 2 n 2  15n
2
18) 16m  25