9/4/12 Tu Introduction to the course
In class: Introduction to the course. Whole class problem solving section 9.1
Homework:
•Read through Course Outline
•Read section 9.1
•Watch the following videos:
The Distance Formula 04:50 otjinenemath
The Midpoint Formula 03:47 otjinenemath
•Start problems in section 9.1
•Additional and alternative video selections can be found at http://bmaprecalculus.net
9/5/12 W Chapter 9
In class: Small group work on section 9.1 (remember the supplemental worksheet!)
Homework:
•Revise and extend section 9.1
•Read 9.2
•Watch the following videos:
Introduction to Conic Sections 03:18 otjinenemath
Parabolas 05:16 otjinenemath
Parabolas Part 2 09:06 otjinenemath
Parabolas Part 3 07:23 otjinenemath
•Start problems in section 9.2
9/6/12 Th Chapter 9
In class: Hands-on Parabola Activity; Whole class selected problems from 9.2.
Homework:
•Work on problems in 9.2
9/7/12 F Chapter 9
In class: Small group work on 9.2 (remember the supplemental worksheet!)
Homework:
•Revise and extend 9.2
•Read 9.3
•Watch the following video:
Circles 05:37 otjinenemath
•Start problems in section 9.3
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9/11/12 Tu Chapter 9
In class: Whole class problem solving 9.3
Homework:
•Work on problems in 9.3
9/12/12 W Chapter 9
In class: Hands-on ellipse activity; Small group work.
Homework:
•Read 9.4
•Watch the following video:
Ellipses 12:54 otjinenemath
•Start problems in section 9.4.
9/13/12 Th Chapter 9
In class: Small group work.
Homework:
•Complete problems in section 9.4
•Read section 9.5
•Watch the following video:
Hyperbolas 06:52 otjinenemath
•Start problems in section 9.5.
9/14/12 F Chapter 9
In class: Whole class problem solving on selected 9.5 problems.
Homework:
•Work on problems in section 9.5.
•Watch the following video:
Conics - Making a Hyperbola with Wax Paper 02:50 Lowderpoop
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9/18/12 Tu Chapter 9
In class: Parchment paper hyperbola activity; small group work.
Homework:
•Finish problems in section 9.5.
•Watch the following video:
Conic Section Formulas 05:21 Brightstorm2
•Read section 9.6.
•Start problems in section 9.6.
9/19/12 W Chapter 9
In class: Small group work.
Homework:
•Work on problems in section 9.6.
9/20/12 Th Chapter 9
In class: Whole class problem solving 9.6.
Homework:
•Finish problems in section 9.6
•Read section 9.7
•Watch the following video:
Quadratic Systems 06:02 otjinenemath
•Start problem in 9.7.
9/21/12 F Chapter 9
In class: Whole class problem solving 9.7.
Homework:
•Work on problems in section 9.7
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9/25/12 Tu Chapter 9
In class: Small group work.
Homework:
•Finish work on 9.7.
9/26/12 W Chapter 9
In class: Whole class discussion: generating equations from graphs.
Homework:
•Student choice based on personal needs: fill in gaps by doing more problems, watch more
videos, work on advanced problems, read wikipedia articles, etc.
Be sure to DOCUMENT learning.
9/27/12 Th Chapter 9
In class: Whole class discussion: alternative definitions for the conic sections.
Homework:
•Student choice based on personal needs: fill in gaps by doing more problems, watch more
videos, work on advanced problems, read wikipedia articles, etc.
Be sure to DOCUMENT learning.
9/28/12 F Chapter 9
In class: To be determined by student interests and needs.
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10/9/12 Tu Chapter 13
In class: Hands-on investigation: Right Triangles and Ratios
Homework:
•Read Section 13.1
•Watch the following videos:
Trigonometry Identifying Sides 05:23 otjinenemath
Trigonometry Functions Introduction 09:14 otjinenemath
Trigonometry Functions Reciprocals 04:35 otjinenemath
•Start problems in section 13.1
10/10/12 W Chapter 13
In class: Whole class selected problem solving 13.1
Homework:
•Finish problems in 13.1
•Read section 13.2
•Watch the following videos:
Angles Introduction 07:45 otjinenemath
Finding Co-terminal Angles 05:18 otjinenemath
Converting Degrees to Radians 10:14 otjinenemath
Length of a Circular Arc 01:26 otjinenemath
Area of a Circular Sector 01:49 otjinenemath
•Start problems in section 13.2
10/11/12 Th Chapter 13
In class: Whole class discussion: Why 360°? Why 2π? Small group work.
Homework:
•Work problems in 13.2
•Work on Unit Circle Trainer
10/12/12 F Chapter 13
In class: Small group work.
Homework:
•Finish problems in 13.2
•Read 13.3
•Watch the following videos:
Lessons Reference Angles 06:24 otjinenemath
The Unit Circle 10:27 otjinenemath
•Start problems in 13.3
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10/16/12 Tu Chapter 13
In class: Whole class activity: Unit Circle madness.
Homework:
•Work on problems in 13.3
10/17/12 W Chapter 13
In class: Small group work 13.3.
Homework:
•Finish problems in 13.3
•Read section 13.4
•Watch the following videos:
The Inverse Sine Function 03:53 Brightstorm2
The Inverse Cosine Function 02:55 Brightstorm2
The Inverse Tangent Function 04:26 Brightstorm2
•Start problems in section 13.4
10/18/12 Th Chapter 13
In class: Whole class activity: graphing inverse trig functions. Small group work.
Homework:
•Work on problems in section 13.4
10/19/12 F Chapter 13
In class: Whole class questions. Intro to 13.5 and 13.6
Homework:
•Finish problems 13.4
•Read Section 13.5
•Watch the following videos:
Law of Sines 10:59 otjinenemath
Law of Sines Part 2 10:40 otjinenemath
Law of Sines No Solution Acute Angle Given 05:22 otjinenemath
Law of Sines Two Solutions Case 07:05 otjinenemath
Law of Sines Two Solutions Case Part 2 06:40 otjinenemath
Law of Sines Area Formula 02:29 otjinenemath
•Start problems in section 13.5
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10/23/12 Tu Chapter 13
In class: Whole class discussion: SASASA, what information do we need to solve a triangle? how to prove the law of sines? SSA mayhem! Teacher selected problem solving.
Homework:
•Work problems in section 13.5
10/24/12 W Chapter 13
In class: Small group work.
Homework:
•Finish problems in section 13.5
•Read section 13.6
•Watch the following videos:
Law of Cosine 07:06 otjinenemath
Law of Cosine SSS 04:53 otjinenemath
•Start work in section 13.6
10/25/12 Th Chapter 13
In class: Hands-on activity SSS triangles. Whole class questions.
Homework:
•Work problems in section 13.6
10/26/12 F Chapter 13
In class: Small group work.
Homework:
•Finish chapter 13.
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11/26/12 M Chapter 14
In class: Whole class Unit Circle Review, building sine and cosine graphs from the Unit Circle.
Homework:
•Look at the following Wolfram.com demonstrations (plug-in download required).
http://demonstrations.wolfram.com/RelationshipOfSineAndCosineToTheUnitCircle/
http://demonstrations.wolfram.com/PlottingASineOrCosineWave/
http://demonstrations.wolfram.com/SineCosineTangentAndTheUnitCircle/
•Read section 14.1
•Watch the following videos:
Sine Graph 12:18 otjinenemath
Cosine Graph 05:24 otjinenemath
Tangent Graph 08:28 otjinenemath
Sine Graph Amplitude 05:52 otjinenemath
Sine Graph Periodic Change 07:34 otjinenemath
Introduction to Trigonometric Graphs 04:12 otjinenemath
•Start work in section 14.1
11/27/12 Tu Chapter 14
In class: Whole class building tangent graphs from the Unit Circle.
Building graphs of sec, csc, cot.
Homework:
•Work problems in section 14.1
•Read section 14.2
• Look at the following Wolfram.com demonstrations.
http://demonstrations.wolfram.com/GraphsOfTheSixTrigonometricFunctions/
http://demonstrations.wolfram.com/SinCosFunctionGame/
•Watch the following videos:
Sine Graph Vertical Shift 05:39 otjinenemath
Sine Graph Phase Shift 06:31 otjinenemath
Sine Graph Multiple Changes 08:09 otjinenemath
•Start work in section 14.2
11/29/12 Th Chapter 14
In class: Shifting and stretching sine and cosine graphs day 1.
Homework:
•Catch up on overflow from previous homework.
•Work problems in section 14.2
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12/3/12 M Chapter 14
In class: Shifting and stretching sine and cosine graphs day 2.
Homework:
•Finish problems in section 14.2.
•Read section 14.3
•Watch the following videos:
Formulas for Negatives 03:12 otjinenemath
Pythagorean Identities 05:15 otjinenemath
•Start work in section 14.3
12/4/12 Tu Chapter 14
In class: Basic Trigonometric Identities
Homework:
•Finish problems in section 14.3
•Read section 14.4
•Watch the following videos:
Trigonometry - Solving Trigonometric Equations 03:58 Brightstorm2
Trigonometric Equations that Require Factoring 05:07 Brightstorm2
•Start work in section 14.4
12/6/12 Th Chapter 14
In class: Solving Trigonometric Equations.
Homework:
•Finish work in section 14.4
•Read section 14.5
•Watch the following video:
Find an Equation for the Sine or Cosine Wave 03:03 Brightstorm2
•Start problems in 14.5
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12/10/12 M Chapter 14
In class: Trigonometric graph recognition (shifting and stretching day 3).
Homework:
•Finish problems in 14.5
•Carefully study and understand the following demonstrations:
http://demonstrations.wolfram.com/DissectionProofOfTheAdditionFormulaForSines/
http://demonstrations.wolfram.com/AdditionFormulaForSine/
http://demonstrations.wolfram.com/DifferenceFormulaForCosine/
http://demonstrations.wolfram.com/ProofOfTheDifferenceFormulaForSineAnd...ulaFor/
•Watch the following videos:
Sum and Difference Formulas Sine Case 04:17 otjinenemath
Sum and Difference Formulas Cosine Case 09:24 otjinenemath
Sum and Difference Formulas Tangent Case 06:32 otjinenemath
•Start work in section 14.6
12/11/12 Tu Chapter 14
In class: Proving the sum and difference formulas for sine and cosine day 1.
Homework:
•Catch up on overflow from previous homework.
•Work problems in 14.6
12/13/12 Th Chapter 14
In class: Proving the sum and difference formulas for sine and cosine day 2.
Homework:
•Finish problems in section 14.6
•Read section 14.7
•Watch the following videos:
Double Angle Formulas 04:15 otjinenemath
Half Angle Formulas 02:00 otjinenemath
Half Angle Formulas Part 2 04:08 otjinenemath
•Start work in section 14.7
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12/17/12 M Chapter 14
In class: Deriving the double angle formulas for sine and cosine, deriving sum and diff form for tan.
Homework:
•Catch up on overflow from previous homework assignments.
•Work problems in section 14.7
12/18/12 Tu Chapter 14
In class: Deriving half-angle formulas, chapter review.
Homework:
•Finish all work for chapter 14.
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12/31/13 M Slide Rule Writing Assignment
In class: Introduction, Creative problem solving
Homework: Work on "solving" the Slide Rule.
1/1/13 Tu Slide Rule Writing Assignment
In class: Creative problem solving
Homework: Work on "solving" the Slide Rule, Create outline for paper.
1/3/13 Th Slide Rule Writing Assignment
In class: Problem solving, Creating outline for paper.
Homework: Create outline for paper.
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1/7/13 M Slide Rule Writing Assignment
In class: Outlining, Begin writing first draft.
Homework: Write first draft. !!!Bring First Draft to Next Class!!!
1/8/13 Tu Slide Rule Writing Assignment
In class: Peer editing of first draft, Begin writing second draft.
Homework: Write second draft. !!!Put second draft in DI's box as soon as possible!!!
1/10/13 Th Slide Rule Writing Assignment
In class: One-on-One editing sessions with DI, Work on third draft.
Homework: Write third draft.
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1/14/13 M Chapter 10
In class: Camelot Lindauer versus BMA boys, minimal clothing selection without repeats;
Whole class problem solving.
Homework:
•Read section 10.1
•Watch the following video:
Permutations (06:22)
•Start problems in 10.1
1/15/13 Tu Chapter 10
In class: Small group work.
Homework:
•Finish work in section 10.1
•Read section 10.2
•Watch the following videos
Combinations (03:40)
Binomial Theorem (10:35)
Binomial Theorem Part 2 (05:53)
•Start problems in section 10.2
1/17/13 Th Chapter 10
In class: (a + b)(a + b)(a + b) take one symbol from each parentheses, how many different
combos can you get? How about (3x - 2y2)3; Whole class problem solving.
Homework:
•Work problems in section 10.2
----
1/21/13 M Chapter 10
In class: Small group work.
Homework:
•Finish problems in section 10.2
•Read section 10.3
•Watch the following video:
Permutations and Probability (04:02)
•Start work in section 10.3
1/22/13 Tu Chapter 10
In class: Experimental probability versus theoretical probability + preview of statistics.
(6 coin toss)
Homework:
•Work problems in section 10.3
1/24/13 Th Chapter 10
In class: Whole class problem solving.
Homework:
•Finish problems in 10.3
•Read section 10.4
•Watch the following videos:
Probability of Multiple Events (03:59)
Using the Complement to Calculate Probability (03:13)
•Start problems in 10.4
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1/28/13 M Chapter 10
In class: Whole class problem solving in 10.4.
Homework:
•Work problems in section 10.4
1/29/13 Tu Chapter 10
In class: Small group work.
Homework:
•Finish work in section 10.4
•Read section 10.5
•Watch the following videos:
Probability of Independent Events (02:37)
Probability of Dependent Events (03:06)
Conditional Probability (02:05)
•Start work in section 10.5
1/31/13 Th Chapter 10
In class: Making up conditional probability games; Whole class problem solving in 10.5
Homework:
•Work problems in section 10.5
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2/4/13 M Chapter 10
In class: Small group work.
Homework:
•Finish problems in 10.5.
•Read section 10.6
•Watch the following videos:
Computing Binomial Probabilities (07:49)
Binomial distribution (01:25)
binomial distribution on excel (04:23)
•Start work in section 10.6
2/5/13 Tu Chapter 10
In class: Whole class problem solving 10.6
Homework:
•Work problems in section 10.6
2/7/13 Th Chapter 10
In class: Small group work.
Homework:
•Finish problems in chapter 10.
•Read Young, Algebra and Trigonometry, section 9.3 (photocopy)
•Watch the following videos:
Partial Fractions Distinct Linear Factors (03:05)
Partial Fractions Distinct Linear Factors Part 2 (09:54)
•Start work in Young section 9.3.
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2/11/13 M Partial Fractions
In class: Introduction to partial fractions, Whole class problem solving.
Homework:
•Work in section 9.3
•Watch the following videos:
Partial Fractions Repeated Linear Factors (09:40)
Partial Fractions Linear and Quadratic Factors (10:50)
2/12/13 Tu Partial Fractions
In class: Whole class problem solving, Small group work.
Homework:
•Work in Young section 9.3
2/14/13 Th Partial Fractions
In class: Small group work, Repeated fractions.
-------------------------------
2/25/13 M Chapter 12
In class: Whole class problem solving 12.1.
Homework:
•Read section 12.1
•Watch the following videos:
Introduction to Sequences (01:52)
Series and Summation Notation (01:59)
•Start work in section 12.1
2/26/13 Tu Chapter 12
In class: Small group work.
Homework:
•Finish work in section 12.1
•Read section 12.2
•Watch the following videos:
Arithmetic Sequences (07:10)
Arithmetic Sequences Part 2 (05:10)
Arithmetic Sequences Finding Means (06:06)
•Start work in section 12.2
2/28/13 Th Chapter 12
In class: Whole class problem solving 12.2
Homework:
•Work problems in section 12.2
----
3/4/13 M Chapter 12
In class: Small group work.
Homework:
•Finish problems in section 12.2
•Read section 12.3
•Watch the following videos:
Geometric Sequences (04:40)
Geometric Sequences Part 2 (05:10)
Geometric Sequences Finding Means (04:06)
•Start problems in section 12.3
3/5/13 Tu Chapter 12
In class: Cutting or folding paper in half, radioactive half-lives. Whole class problem solving 12.3.
Homework:
•Work problems in section 12.3
3/7/13 Th Chapter 12
In class: Small group work.
Homework:
•Finish problems in section 12.3
•Read section 12.4
•Watch the following videos:
Infinite Geometric Series (06:24)
Infinite Geometric Series Part 2 (02:31)
•Start problems in section 12.4
----
3/11/13 M Chapter 12
In class: Whole class questions.
Homework:
•Work problems in section 12.4
3/12/13 Tu Chapter 12
In class: Small group work.
Homework:
•Finish problems in section 12.4
•Read section 12.5
•Watch the following videos:
Recursive Sequences (02:17)
Recursive Sequences Part 2 (05:10)
•Start problems in section 12.5
3/14/13 Th Chapter 12
In class: Geometric series in investing: START EARLY!
Homework:
•Work problems in section 12.5
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3/18/13 M Chapter 12
In class: Small group work.
Homework:
•Do you best on graph sketching worksheet.
3/19/13 Tu Connecting Graphs With Equations
In class: Small group comparison on graph sketching worksheet, Whole class sharing, start
looking at mugshots.
Homework:
•Sketch three additional sketches for each function: 1) replace (x,y) with (-x,y), 2) replace (x,y)
with (x,-y), 3) replace (x,y) with (-x, -y).
3/21/13 Th Connecting Graphs With Equations
In class: Whole class discussion, finish any mugshots, look at reflections, talk about inverses,
start on shifts.
Homework:
•Create four shifted/stretched/translated graphs to share with the class. Put each equation on
the top half of a piece of paper, and the graph on the bottom half so that they can be displayed
separately.
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3/25/13 M Connecting Graphs With Equations
In class: Sharing student generated graphs. Looking at real world graphs.
Homework: Find, on the internet, a formula for the distance between two points on a sphere.
Look up the locations of Vancouver, Sochi and Rio and determine the distances between them.
(Refer to Spherical Trigonometry Worksheet.)
3/26/13 Tu Geometry on the surface of a sphere.
In class: Distances on a sphere, introduction to spherical geometry.
Homework: Calculate the angles in a triangle connecting Vancouver, Sochi and Rio.
3/28/13 Th Geometry on the surface of a sphere.
In class: Spherical Trigonometry, other non-euclidean geometries.
-------------------------------
4/16/13 T Chapter 11
In class: Weighing dinner plates and potatoes.
Homework:
•Obtain data for the Normal Distribution Lab
•Read section 11.1
•Start problems in 11.1
4/17/13 W Chapter 11
In class: mean and standard deviation, median and quartiles, box and whisker plots.
Homework:
•Finish work on Normal Distribution Lab
•Finish work on section 11.1
4/18/13 Th Chapter 11
In class: Calculating standard deviation manually versus using a formula, population versus
sample deviation.
Homework:
•Work on Median Quartile Lab
•Read section 11.2
•Start work in section 11.2
4/19/13 F Chapter 11
In class: Z-scores, area under the curve, numerical integration.
Homework:
•Finish Median Quartile Lab
•Finish work in Section 11.2
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4/23/13 Tu Chapter 11
In class: 5-sigma and the search for the Higgs Boson (minute physics).
Homework:
•Start work on How To Do Statistics By Hand
•Read section 11.3
•Start work in section 11.3
4/24/13 W Chapter 11
In class: Taking correlation data: mass of water versus volume, mass of water versus
temperature, graphing data, introducing correlation.
Homework:
•Finish how to do Statistics By Hand.
•Finish work in section 11.3
4/25/13 Th Chapter 11
In class: Correlation.
Homework:
•Start work on Correlation Lab
•Read section 11.4
•Start work in section 11.4
4/26/13 F Chapter 11
In class: Correlation continued, best fit to a linear relation.
Homework:
•Finish Correlation Lab
•Finish work in section 11.4
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4/30/13 Tu Chapter 11
In class: Measuring length versus mass for potatoes and steel balls
Homework:
•Read section 11.5
•Start work in section 11.5
5/1/13 W Chapter 11
In class: Developing mathematical relationships based on correlations.
Homework:
•Finish work in section 11.5
•Read Lial et al Section 1.3
•Start work in Lial 1.3
5/2/13 Th Imaginary Numbers
In class: Review of Number sets, History of imaginary numbers, Factoring quadratics with
complex roots.
Homework:
•Finish work in Lial 1.3
•Read Lial 8.5
•Start work in Lial 8.5
5/3/13 F Imaginary Numbers
In class: Combining fractions with complex denominators, plotting complex numbers in 2D.
Homework:
•Finish work in Lial 8.5
•Read Lial 8.6
•Start work in Lial 8.6
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5/7/13 Tu Imaginary Numbers
In class: Finding angles between complex numbers, D'Moivre's Theorem.
Homework:
•Finish work in Lial 8.6
5/8/13 W Imaginary Numbers
In class: Development of Euler's Formula.
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5/21/13 Tu Math Tables Writing Assignment
In class: Introduction, Creative problem solving
Homework: Work on "solving" the tables.
5/22/13 W Math Tables Writing Assignment
In class: Creative problem solving
Homework: Work on "solving" the tables, Create outline for paper.
5/23/13 Th Math Tables Writing Assignment
In class: Problem solving, Creating outline for paper.
Homework: Create outline for paper.
5/24/13 F Math Tables Writing Assignment
In class: Outlining, Begin writing first draft.
Homework: Write first draft. !!!Bring First Draft to Next Class!!!
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5/28/13 Tu Math Tables Writing Assignment
In class: Peer editing of first draft, Begin writing second draft.
Homework: Write second draft. !!!Put second draft in DI's box as soon as possible!!!
5/29/13 W Math Tables Writing Assignment
In class: One-on-One editing sessions with DI, Work on third draft.
Homework: Write third draft.
5/30/13 Th Derivatives
In class: Theory behind derivatives.
Homework: TBA in class.
5/31/13 F Derivatives
In class: Basic rules and tricks of derivatives.
Homework: TBA in class.
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6/4/13 Tu Integrals
In class: Theory behind integrals
Homework: TBA in class.
6/6/13 Th Integrals
In class: Basic rules and trick of integrals.
Homework: TBA in class.