Functions & Trigonometry (Algebra 2B)
WeeK 1
Day 1 Wed. 1/22 Introductions, Syllabus, Rules, Notecard (Name, Last math class/ Teacher/ grade in class, hobbies, sports, job – where, days, hours, future plans, anything else)
Warm-Ups: p. 430 (1 – 6)
8.1 Notes: Exploring Exponential Models
Growth and Decay factors, Graphing, Use Book for examples
p.434 – 437 (1, 5, 6, 8 – 11, 16 – 25, 56, 60 – 62)
HW: 8.1 Exponential Wkst (1 – 13)
Day 2 Thurs. 1/23 Warm-Ups: p.486 (1 – 6)
Go over HW
8.1 Notes: Exploring Exponential Models
Finding the exponential equation given 2 points on the graph, finding the equation from a graph, and finding the growth or decay factor given the annual rate of change
Do Example 3 on p.423, and p.435 – 436 (10, 12, 14, 32, 33, 46 – 49) for examples
CW: 8.1 Wkst (14 – 24) TURN – IN
Fri. 1/24 Snow Day
WEEK 2
Mon. 1/27 Snow Day
Tues. 1/28 Snow Day
Wed. 1/29 Snow Day
Day 3 Thurs. 1/30 Warm-Ups: ACT Review Wkst: Basics Drill & Algebra Drill
There are 17 questions, so you get 17 minutes. Turn In.
8.2 Notes: Properties of Exponential Functions
Graphing with shifts, reflections, stretches, half-life problems, continuous compound interest problems, natural base “e” problems
CW: 8.2 Wkst (Only had to graph 15, 16, 25, & 26) For 14 – 26 you had to state if it was growth or decay, and if there were any reflections or shifts) If there is a reflection, state the axis or line of reflection
Day 4 Fri. 1/31 Warm-ups: p.445 (1 – 9, 10)
Go over HW
8.3 Notes: Logarithmic Functions as Inverses
Magnitude of earthquake problems, converting from exponential form to logarithmic
form,
CW: p. 450 (6 – 25)
HW: Take – Home Quiz
WEEK 3
Mon. 2/3 No School: Waiver Day
Day 5 Tues. 2/4 Warm-Ups: p.480 (28, 29, 36, 37, 39)
8.3 Notes continued: graphing logarithms, evaluating on a calculator, inverse of logs
HW: p. 450 (35 – 40 ---Graph and find domain & range, 64 – 68, 90 – 95)
MUST USE GRAPH PAPER!!!
Day 6 Wed. 2/5 Warm-Ups: p.452 (96 – 98) & p.454 (1 – 3)
Go over HW
Review Graphing Logs, domain & range
8.4 Notes: Properties of Logarithms (expand and condense, evaluating)
HW: p.457 – 459 (2 – 30 even, 33 – 41, 58 – 68 even, 91 – 93)
Day 7 Thurs. 2/6 Warm-Ups: p. 445 (51, 52, 54, 59)
Go over HW
8.5 Notes: Solving exponential and logarithmic equations
Solving by graphing, using equations, change of base formula
HW: p. 464 (2, 6, 12, 14, 34, 36, 38, 41) TURN IN FOR POINTS
Fri. 2/7 SNOW DAY
Online Assignment on Pearson, Chapter 8 Review: Due Monday
WEEK 4
Day 8 Mon. 2/10 Warm-Ups: p.465 (50, 53 – 59 odd)
Check HW
Markerboards Review
8.6 Notes: Natural Logarithms
Goals: To solve & evaluate base “e” & natural logarithms
HW: p.472 – 473 (1 – 11, 14, 16, 24 – 28 Even, 29 – 38, 48, 54 – 56, 59)
Day 9 Tues. 2/11 Warm-Ups: p.481 (44 – 51)
Go over HW
Graphing Notes: Review all 4 types of graphs
Goals: To graph exponential, logs, base “e ” and natural logarithms, & find domain, range, shifts, reflections, and asymptotes
HW: Graph Wkst (1 – 12)
Day 10 Wed. 2/12 Warm-Ups: Ch 8 Compound Interest & Exponential Growth Packet
Go over HW questions & Go over 8.1 – 8.3 Quiz
Chapter 8 Review: Place Your Bets
HW: Graph Wkst (1 – 4) & p.482 (6, 8 – 19, 24 – 29, 33 – 36, 40)
Day 11 Thurs. 2/13 Warm-Ups: None
Go over HW
Chapter 8 Test
After the Test: Fill out Survey
Day 12 Fri. 2/14 Warm-Ups: Factoring Review Wkst Side 1 (Odds Only) -Turn in
9.1 Notes: Inverse Variation
Review Direct Variation, Discuss Inverse and Joint, Use Worksheet for examples
HW: p.491 – 492 (1 – 15 odd, 24, 30 – 33, 37 – 47 odd)
WEEK 5
No School Monday 2/17: President’s Day
Tues. 2/18 Snow Day
Day 13 Wed. 2/19 Warm-Ups: Fraction Review
Go over HW
9.2 Notes: The Reciprocal Function Family
Discuss - Reciprocal, Horizontal and Vertical Asymptotes, Translations, Reflections, Stretches, Intersect Feature on the Graphing Calculator
HW: p.498 – 499 (Graph 2 & 3, 10, 11, Graph 14 – 17, 22 – 24, 27 – 30, 40, For 41 – 43 Use calculator ) 6 GRAPHS TOTAL
Day 14 Thurs. 2/20 Warm-Ups: p.501 (1 – 9)
Go over HW
CW: 9.1/9.2 Exit Graph Wkst
HW: Factoring Review Wkst Side 2 (1 – 16)
Day 15 Fri. 2/21 Warm-Ups: Direct/Inverse Variation Wkst
Go over HW
9.3 Notes: Rational Functions and Their Graphs
Discuss - Holes or points of discontinuity, vertical & horizontal asymptotes
CW: p.505 (6 – 17, 22 – 24, 27, 29)
WEEK 6
Day 16 Mon. 2/24 Warm-Ups: Review for Quiz: p.508 (1 – 5)
Go over HW
9.4 Notes: Rational Expressions
p.509 (1 – 12), Simplifying, Multiplying and Dividing, State any restrictions
CW/HW: p.511 – 512 (2 – 18 even, 19 – 21, 28, 30, 32) & p.506(25)
Day 17 Tues. 2/25 Warm-Ups: p.500 (53 – 59)
Check HW
9.1 – 9.3 QUIZ
Start 9.5 Notes: Adding & Subtracting Rational Expressions
HW: p.512(27,29,31) & OGT Calculator Prep Wkst
Day 18 Wed. 2/26 Warm-Ups: p.513 (42, 43, 48 – 50)
Go over HW
9.5 Notes: Adding & Subtracting Rational Expressions
p.514 Blue Box, Find least common multiples
CW/HW: p.517 (4, 5, 9, 10 – 14, 16 – 18, 21)
Day 19 Thurs. 2/27 Warm-Ups: p.520 (1 – 5)
Go over HW
9.5 Notes: Complex Fractions
CW: p.517 – 518 (6, 7, 15, 19, 22 – 30)
HW: p.539 – 541(6 – 17, 22 – 24, 26 – 29(Do not graph, just find asymptotes and holes)
Day 20 Fri. 2/28 Warm-Ups: p. 520 (6 – 10)
Go over HW
9.6 Notes: Solving Rational Equations
Solving proportions, problems with addition/subtr., word problems with rates
CW: p.524 – 525 (1 – 5, 10 – 13, 15, 16, 19, 39)
WEEK 7
Day 21 Mon. 3/3 Warm-Ups: p.519 – 520 (56 – 61)
Chapter 9 Review: Math-O
Dominoes with Rational Expressions, Clickers
HW: Study Study Study!!! Try online practice quizzes at Pearson website
And p.540 – 541 (30, 31, 34 – 40)
Day 22 Tues. 3/4 Warm-Ups: None
Check HW
Chapter 9 Test
Day 23 Wed. 3/5 Warm-Ups: OGT Review
Exploring Conic Sections: Notes on 10.3: Circles (Go over p.561 (1 – 6) first)
Writing equations given a graph, given center & radius, or center & diameter, write equations after a translation, find the center and radius from and equation, graph circles
Find domain and range, Writing equations in standard form by completing the square, and finding points of intersection.Do examples like the assigned book problems.
CW: Alg. 2 Practice10-3 Circle Wkst #1 & 2 & p.565 (45 – 48)
Day 24 Thurs. 3/6 Warm-Ups: OGT Review
Go over HW
11.1 Notes: Mathematical Patterns
p.600 (1 – 8), Do Activity on p.600, Koch Snowflakes, Fractals,
Recursive formula VS. Explicit, do p.604 (45 – 49 odd together)
HW: p.603 – 604 (1 – 10, 12 – 22, 24 – 28, 44, 51)
Day 25 Fri. 3/7 Warm-Ups: OGT Review
Go over HW
11.2 Notes: Arithmetic Sequence
p.606 (1 – 4), Common Differences, discuss the 2 formulas, do #71 together
CW: p.608 (2 – 42 Even, 46 – 54 even)
WEEK 8 OGT Testing Week
Day 26 Mon. 3/10 Warm-Ups: OGT Review
Go over HW
Discuss: p.611 Fibonacci Sequence (1 – 5)
11.3 Notes: Geometric Sequences
Activity p.612, Common Ratio, recursive and explicit formulas, geometric mean
HW: p.614 – 615 (2 – 34 Even, 42 – 45 all, 48 – 51)
Day 27 Tues. 3/11 Warm-Ups: OGT Review
Go over HW
Notes: Do Scenario 2: Bribe & Scenario 1: Bond Market problems
on the worksheet together
HW: Do Scenario 1: Bathtub Problem & Scenario 2: Superball Problems on the Wkst
Wed. 3/12 Snow Day
Day 28 Thurs. 3/13 Warm-Ups: HW: p.609 (70, 71, 75 – 80)
Go over HW
Review: p.617 (5 – 9) & p.644 (1, 4, 8, 13, 18)
Take – Home 11.1 -11.3 Quiz
Day 29 Fri. 3/14 Happy π day !!! Warm-Ups: p.619 (1 – 6)
Turn in Take-Home Quiz
11.4 Notes: Arithmetic Series
Discuss Blue Box Activity, Limits. Goals: To write a related series, evaluate it, use summation notation, tell if a list is a sequence or series, and then if it is finite or ∞
CW/HW: p.622 – 624 (1 – 24, 49 – 54, 61, 63)
WEEK 9:
Day 30 Mon. 3/17 Warm-Ups: p.624 (67 – 69)
Go over HW
11.4 Notes Continued… Special Summation Formulas
Do notes on the back of the Ch 11 booklet
HW: 11.4 Worksheet
Day 31 Tues. 3/18 Warm-Ups: p.626(1 – 8)
Go over HW
11.5 Notes: Geometric Series (Converges VS. Diverges, Sum Formula)
Do Together: p.628 – 629 (41 – 43)
HW: p.628 – 629 (2 – 34 Even, 35, 37)
Day 32 Wed. 3/19 Warm-Ups: p.635 (1 – 4)
Go over HW
CW: 11.4/11.5 Worksheet
11.6 Notes: Area Under The Curve
Inscribed Rectangles VS. Circumscribed Rectangles, sum to estimate area under
curve, graphing calculator
HW: p.637 – 638 (3, 4, 6 – 10, 12, 14, 18 – 26)
Day 33 Thurs. 3/20 Warm-Ups: p.634 (4 – 6) & p.644 (11 – 16, 37)
Review 11.5 Summation and Summation formulas
Chapter 11 Review: Place Your Bets
HW: STUDY!!!!!! p.644 (1 – 28, 32 – 35, 37)
Day 34 Fri. 3/21 Warm-Ups: p.531 (1 – 4)
Chapter 11 Test
After Test Work on Midterm Review (1 – 10)
WEEK 10:
Mon. 3/24 Waiver Day
Day 35 Tues. 3/25 Warm-Ups: Midterm Review (11 – 15)
Go over HW
9.7 Notes: Probability of Multiple Events
CW: 9.7 Wkst or p.534 – 537 (1 – 4, 6 – 8, 10 – 12, 14 – 40 Even, 53 – 58)
Day 36 Wed. 3/26 Warm-Ups: Midterm Review (16 – 21)
Go over HW
CW: Dice Simulation for Sums Activity –
Make the Experimental Graph, Answer the 3 questions from the worksheet,
Make a Theoretical Graph,
Answer the 1 question - Can you make any observations and/or conclusions from
comparing both graphs?
Day 37 Thurs. 3/27 Warm-Ups: Midterm Review (22 – 27)
Go over HW
Midterm Review – Finish going over the packet
Day 38 Fri. 3/28 Midterm – Odd Blocks
______
SPRING BREAK: March 31st – April 4th
WEEK 11:
Day 39 Mon. 4/7 Warm-Ups: p.535 (37, 39), p.541 (42 – 45) & p.553 (56 – 59) 12.1 Notes: Probability Distribution
Finish 12.1 Notes, do #11 in the book on p.651, p.652 – 653 (12, 13, 21 – 26, 29, 30)
CW: 12.1 Wkst Turn –In for Points
Day 40 Tues. 4/8 Warm-Ups: p.654 (1 – 6)
12.2 Notes: Conditional Probability
P(b/a), Use 12.2 Wkst for Notes
CW: p.656 – 657 (1 – 12, 13 a – c, 19 – 22, 25 – 27)
Day 41 Wed. 4/9 Warm-Ups: p.658 (33, 35, 36, 37)
Go over HW
12.3 Notes: Analyzing Data
Measures of Central Tendency, Bimodal, Box & Whisker Plots
HW: p.664 – 665 (1 – 3, 6 – 19)
Day 42 Thurs. 4/10 Warm-Ups: p.667 (1 – 3)
Go over HW
Review 12.1 – 12.3 (QUIZ Tomorrow)
12.4 Notes: Standard Deviation & Variance
Activity on p.668, Mean, Range, Interquartile Range, table for Standard Deviation,
CW/HW: 12.4 Wkst (1 – 11, 14, 15) Do #1 by hand
Day 43 Fri. 4/11 Warm-Ups: p.667 (4 – 7)
12.1 – 12.3 QUIZ
Go over HW
Read About Z-Score on p.671 – 672
WEEK 12:
Day 44 Mon. 4/14 Warm-Ups: p.704 (1, 2, 4, 6 – 9)
Go over HW/QUIZ
Notes on 12.4: Z-Score, and standard deviations
CW: p.672 – 673 (9 – 25, 27)
Day 45 Tues. 4/15 Warm-Ups: p.677 (1 – 6)
Turn- In CW if you didn’t finish yesterday, Go over QUIZ
12.5 Notes: Working With Samples
Vocab: Sample, sample proportion, random sample, margin of error, intervals, Use book problems on p.680 – 681 for examples
CW: 12.5 Wkst
HW: p.704 (10 – 23)
Day 46 Wed. 4/16 Warm-Ups: p.692 (1 – 6)
Go over HW
12.7 Notes: Normal Distributions, Standard Normal Curve
CW: p.695 – 697 (1 – 16, 27, 32 – 34)
Chapter 12 Review: Connect Four, Marker Boards
STUDY FOR YOUR TEST: p.702 – 703 (14 – 23) & p.704 (28 – 32)
Day 47 Thurs. 4/17 Warm-Ups: p.691 (1 – 7)
Chapter 12 Review
Chapter 12 TEST
April 18th – No School GOOD Friday
WEEK 13:
Day 48 Mon. 4/21 Warm-Ups: Trig Wkst
13.1 Notes: Exploring Periodic Data
p.710 (1 – 8) “Check Your Skills Needed”, Activity p.710 in the Blue Box
Vocab: Periodic Function, cycle, period, amplitude
HW: p.713 – 714 (1 – 13, 16 – 19, 21 – 29)
Day 49 Tues. 4/22 Warm-Ups:Rationalize the Denominator Wkst
Go over HW
Review Special Right Triangles:
Read p.717 & look at the examples.
CW: p.717 (1 – 12) Special Right Triangles
13.2 Notes: Angles and the Unit Circle
p.718 (1 – 6) “Check Your Skills Needed” – use a protractor
Vocab: standard position, initial side, terminal side, coterminal angles, clockwise vs. counterclockwise
Day 50 Wed. 4/23 Warm-Ups: p.715 (35 – 38) & p.724 (69 – 71)
13.2 Notes Continued: Review Vocab - reference angle, standard position, initial side, terminal side, coterminal angles, clockwise vs. counterclockwise
Activity on p.720 (Blue Box), exact values of sine and cosine (need ruler, protractor, and compass)
HW: p.722 – 724 (2 – 20 even, 21 – 25, 28 – 32, 37 – 40, 45 – 49)
Day 51 Thurs. 4/24 Warm-Ups: p.723-724 (55, 57, 58, 63 – 66)