BMA PreCalculus

Work to be done before arriving
at school:

=============================================================

08/31/15 Monday Introduction to the course

In class: Introduction to the course. Whole class problem solving section 9.1

Homework:

The Distance Formula 04:50 otjinenemath

The Midpoint Formula 03:47 otjinenemath

09/02/15 Wednesday Chapter 9

In class: Small group work on section 9.1 (ch. 9 supplemental worksheet)

Homework:

Introduction to Conic Sections 03:18 otjinenemath

Parabolas 05:16 otjinenemath

Parabolas Part 2 09:06 otjinenemath

Parabolas Part 3 07:23 otjinenemath

09/03/15 Thursday Chapter 9

In class: Hands-on Parabola Activity; Whole class selected problems from 9.2.

Homework:

09/04/15 Friday Chapter 9

In class: Small group work on 9.2 (ch. 9 supplemental worksheet)

Homework:

Circles 05:37 otjinenemath

----

09/07/15 Monday Chapter 9

In class: Whole class problem solving 9.3

Homework:

09/09/15 Wednesday Chapter 9

In class: Hands-on ellipse activity; Small group work.

Homework:

Ellipses 12:54 otjinenemath

09/10/15 Thursday Chapter 9

In class: Small group work. (ch. 9 supplemental worksheet)

Homework:

Hyperbolas 06:52 otjinenemath

09/11/15 Friday Chapter 9

In class: Whole class problem solving on selected 9.5 problems.

Homework:

Conics - Making a Hyperbola with Wax Paper 02:50 Lowderpoop

----

09/14/15 Monday Chapter 9

In class: Wax paper hyperbola activity; small group work.

Homework:

Conic Section Formulas 05:21 Brightstorm2

09/16/15 Wednesday Chapter 9

In class: Small group work. (ch. 9 supplemental worksheet)

Homework:

09/17/15 Thursday Chapter 9

In class: Whole class problem solving 9.6.

Homework:

Quadratic Systems 06:02 otjinenemath

09/18/15 Friday Chapter 9

In class: Whole class problem solving 9.7.

Homework:

----

09/21/15 Monday Chapter 9

In class: Small group work. (ch. 9 supplemental worksheet)

Homework:

09/23/15 Wednesday Chapter 9

In class: Whole class discussion: generating equations from graphs.

Homework:

09/24/15 Thursday Chapter 9

In class: Whole class discussion: alternative definitions for the conic sections.

Homework:

09/25/15 Friday Chapter 9

In class: To be determined by student interests and needs.

====================================================================

10/05/15 Monday Chapter 13

In class: Hands-on investigation: Right Triangles and Ratios, (Link to Spreadsheet)

Homework:

Trigonometry Identifying Sides 05:23 otjinenemath

Trigonometry Functions Introduction 09:14 otjinenemath

Trigonometry Functions Reciprocals 04:35 otjinenemath

10/07/15 Wednesday Chapter 13

In class: Whole class selected problem solving 13.1

Homework:

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

10/08/15 Thursday Chapter 13

In class: Whole class discussion: Why 360°? Why 2π? Small group work.

Homework:

10/09/15 Friday Chapter 13

In class: Small group work. (ch. 13 supplemental worksheet)

Homework:

Lessons Reference Angles 06:24 otjinenemath

The Unit Circle 10:27 otjinenemath

----

10/12/15 Monday Chapter 13

In class: Whole class activity: Unit Circle madness.

Homework:

10/14/15 Wednesday Chapter 13

In class: Small group work 13.3. (ch. 13 supplemental worksheet)

Homework:

The Inverse Sine Function 03:53 Brightstorm2

The Inverse Cosine Function 02:55 Brightstorm2

The Inverse Tangent Function 04:26 Brightstorm2

10/15/15 Thursday Chapter 13

In class: Whole class activity: graphing inverse trig functions. Small group work.

Homework:

10/16/15 Friday Chapter 13

In class: Whole class questions. Intro to 13.5 and 13.6

Homework:

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

----

10/19/15 Monday 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:

10/21/15 Wednesday Chapter 13

In class: Small group work. (ch. 13 supplemental worksheet)

Homework:

Law of Cosine 07:06 otjinenemath

Law of Cosine SSS 04:53 otjinenemath

10/22/15 Thursday Chapter 13

In class: Hands-on activity SSS triangles. Whole class questions.

Homework:

10/23/15 Friday Chapter 13

In class: Small group work. (ch. 13 supplemental worksheet)

Homework:

-----

10/26/15 Monday Chapter 14

In class: Whole class Unit Circle Review, building sine and cosine graphs from the Unit Circle.

Homework:

http://demonstrations.wolfram.com/RelationshipOfSineAndCosineToTheUnitCircle/

http://demonstrations.wolfram.com/PlottingASineOrCosineWave/

http://demonstrations.wolfram.com/SineCosineTangentAndTheUnitCircle/

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

10/28/15 Wednesday Chapter 14

In class: Whole class building tangent graphs from the Unit Circle. Building graphs of sec, csc, cot.

Homework:

http://demonstrations.wolfram.com/GraphsOfTheSixTrigonometricFunctions/

http://demonstrations.wolfram.com/SinCosFunctionGame/

Sine Graph Vertical Shift 05:39 otjinenemath

Sine Graph Phase Shift 06:31 otjinenemath

Sine Graph Multiple Changes 08:09 otjinenemath

10/29/15 Thursday Chapter 14

In class: Shifting and stretching sine and cosine graphs. Preview Big Wheel Assignment.

Homework:

10/30/15 Friday

In class: Measure slalom skis (take data for November Assignment part 1) (Link to Spreadsheet).

Preview polar graphing.

Homework:

====================================================================

11/30/15 Monday Chapter 14

In class: Discussion of November Assignment results. Remember the Big Wheel Assignment.

Homework:

Formulas for Negatives 03:12 otjinenemath

Pythagorean Identities 05:15 otjinenemath

12/02/15 Wednesday Chapter 14

In class: Basic Trigonometric Identities

Homework:

Trigonometry - Solving Trigonometric Equations 03:58 Brightstorm2

Trigonometric Equations that Require Factoring 05:07 Brightstorm2

12/04/15 Friday Chapter 14

In class: Solving Trigonometric Equations.

Homework:

Find an Equation for the Sine or Cosine Wave 03:03 Brightstorm2

----

12/07/15 Monday Chapter 14

In class: Trigonometric graph recognition (shifting and stretching day 2).

Remember the Big Wheel Assignment.

Homework:

http://demonstrations.wolfram.com/DissectionProofOfTheAdditionFormulaForSines/

http://demonstrations.wolfram.com/AdditionFormulaForSine/

http://demonstrations.wolfram.com/DifferenceFormulaForCosine/

http://demonstrations.wolfram.com/ProofOfTheDifferenceFormulaForSineAnd...ulaFor/

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

12/09/15 Wednesday Chapter 14

In class: Proving the sum and difference formulas for sine and cosine.

Homework:

Sum and Difference Formulas for Sine and Cosine

12/11/15 Friday Chapter 14

In class: Small group work.

Homework:

Double Angle Formulas 04:15 otjinenemath

Half Angle Formulas 02:00 otjinenemath

Half Angle Formulas Part 2 04:08 otjinenemath

----

12/14/15 Monday Chapter 14

In class: Deriving the double angle formulas for sine and cosine, deriving sum and difference formula for tan.

Homework:

12/16/15 Wednesday Chapter 14

In class: Deriving half-angle formulas, chapter review.

Homework:

xxx Chapter 14

In class: Small Group Work

Homework:

====================================================================

12/28/15 Monday Chapter 10

In class: Camelot Lindower versus BMA boys, minimal clothing selectionwithout repeats; Whole class problem solving.

Homework:

Permutations (06:22)

12/30/15 Wednesday Chapter 10

In class: Small group work.

Homework:

Combinations (03:40)

Binomial Theorem (10:35)

Binomial Theorem Part 2 (05:53)

01/01/16 Friday 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 - 2y^2)^3; Whole class problem solving.

Homework:

----

01/04/16 Monday Chapter 10

In class: Small group work.

Homework:

Permutations and Probability (04:02)

01/06/16 Wednesday Chapter 10

In class: Experimental probability versus theoretical probability + preview of statistics.

(6 coin toss), (Link to Spreadsheet)

Homework:

01/08/16 Friday Chapter 10

In class: Whole class problem solving.

Homework:

Probability of Multiple Events (03:59)

Using the Complement to Calculate Probability (03:13)

----

01/11/16 Monday Chapter 10

In class: Whole class problem solving in 10.4.

Homework:

01/13/16 Wednesday Chapter 10

In class: Small group work.

Homework:

Probability of Independent Events (02:37)

Probability of Dependent Events (03:06)

Conditional Probability (02:05)

01/15/16 Friday Chapter 10

In class: Conditional Probability, drinking and smoking pot (Link to download data)

Homework:

----

01/18/16 Monday Chapter 10

In class: Small group work.

Homework:

Computing Binomial Probabilities (07:49)

Binomial distribution (01:25)

binomial distribution on excel (04:23)

01/20/16 Wednesday Chapter 10

In class: Whole class problem solving 10.6

Homework:

01/22/16 Friday Chapter 10

In class: Small group work.

Homework:

Introduction to Sequences (01:52)

Series and Summation Notation (01:59)

----

01/25/16 Monday Chapter 12

In class: Whole class problem solving 12.1.

Homework:

01/27/16 Wednesday Chapter 12

In class: Small group work.

Homework:

Arithmetic Sequences (07:10)

Arithmetic Sequences Part 2 (05:10)

Arithmetic Sequences Finding Means (06:06)

01/29/16 Friday Chapter 12

In class: Whole class problem solving 12.2

Homework:

----

02/01/16 Monday Chapter 12

In class: Small group work.

Homework:

Geometric Sequences (04:40)

Geometric Sequences Part 2 (05:10)

Geometric Sequences Finding Means (04:06)

02/03/16 Wednesday Chapter 12

In class: Bouncing balls, cutting or folding paper in half, radioactive half-lives.

Homework:

02/05/16 Friday Chapter 12

In class: Small group work.

Homework:

Infinite Geometric Series (06:24)

Infinite Geometric Series Part 2 (02:31)

----

02/08/16 Monday Chapter 12

In class: Whole class questions.

Homework:

02/10/16 Wednesday Chapter 12

In class: Small group work.

Homework:

Recursive Sequences (02:17)

Recursive Sequences Part 2 (05:10)

02/12/16 Friday Chapter 12

In class: Geometric series in investing: START EARLY!

Homework:

====================================================================

02/22/16 Monday Classifying Numbers, closure under various operations.

In class: Whole class discussion: why do we need Naturals, Integers, Imaginaries, etcetera?

Homework:

02/24/16 Wednesday Rational and Irrational Numbers

In class: The square-root of 2? Repeating decimals? The billionths digit of pi?

Homework:

How to Count to Infinity

02/26/16 Friday Complex Numbers

In class: Complex conjugates, graphing in the complex plane, DeMoivre'stheorem.

Homework:

Taylor Series for the Natural Exponential: f(x)=exp(x)

Taylor Series for Sine: f(x)=sin(x)

Taylor Series for Cosine: f(x)=cos(x)

Euler's Formula Proof (Taylor Series)

Convert a Complex Number in Cartesian Form to Exponential Form

----

02/29/16 Monday Complex Exponentials

In class: Euler's Theorem

Homework:

How to add vectors graphically

How to subtract vectors graphically

03/02/16 Wednesday Vectors

In class: Vectors from the view of a mathematician, adding and subtracting.

Homework:

Dot product component form

Geometric version of dot product

Relation of component and geometric forms of dot product

Vector Product

Cross Product Example 1

Cross Product Example 2

03/04/16 Friday Vectors

In class: Multiplying vectors: scalar product and vector product.

Homework:

Angle between two planes

----

03/07/16 Monday Vectors

In class: Angle between two vectors in 2D, 3D and 4D.

Homework:

Mutiplying matrices

03/09/16 Wednesday Vectors

In class: "Spinors" --> 3D Vector --> 2x2 matrix, are closed under what functions?

Homework:

(This might be helpful: Spinors in three dimensions)

03/11/16 Friday Connecting Graphs With Equations

In class: Small group comparison on graph sketching worksheet, Whole class sharing, start looking at mugshots.

Homework:

----

03/14/16 Monday Connecting Graphs With Equations

In class: Whole class discussion, finish any mugshots, look at reflections, talk about inverses, start on shifts.

Homework:

03/16/16 Wednesday Connecting Graphs With Equations

In class: Sharing student generated graphs.

Homework:

03/18/16 Friday Connecting Graphs with Equations

In class: Sharing student generated graphs. Rational expressions, polynomials.

Homework:

----

03/21/16 Monday Calculus: Derivatives

In class: Theory behind derivatives.

Homework:

A: Finding the slope of a curved line

B: Definition of the derivative

C: Developing the power rule for taking derivatives

03/23/16 Wednesday Calculus: Derivatives

In class: Basic rules and tricks of derivatives.

Homework:

G: Comparing graphs of functions and their derivatives

03/25/16 Friday Calculus: Derivatives

In class: Connecting graphs of functions with graphs of the derivatives

Homework:

A: Introduction to Integration and the Integral

----

03/28/16 Monday Calculus: Integrals

In class: Theory behind integrals

Homework:

F: Preview of tricks and rules of integration

03/30/16 Wednesday Calculus: Integrals

In class: Basic rules and trick of integrals.

Homework: TBA in class.

G: Area under a curve manually with paper and scissors

04/01/16 Friday Calculus: Integrals

In class: Area under the curve with calculus and with paper, scissors and scale.

Homework: Come back from April Break all caught up in PreCalculus. (or with just a few questions.)

====================================================================

04/18/16 Monday Alien Addition Writing Assignment

In Class: Introduction to the activity, start work, take notes as you go.

Homework:

04/20/16 Wednesday Alien Addition Writing Assignment

In Class: Continue to figure out the Alien Addition worksheet.

Homework:

04/21/16 Thursday Alien Addition Writing Assignment

In Class: Probably wrap-up of figuring things out, transition to looking at the process.

Homework:

04/22/16 Friday Alien Addition Writing Assignment

In Class: Come up with a list of what needs to be in a paper. Start an outline.

Homework:

----

UndergradWritingExample2.pdf

UndergradWritingExample3.pdf

04/25/16 Monday Alien Addition Writing Assignment

In Class: Discussion about what should be in a paper, working on first drafts.

Homework:

04/27/16 Wednesday Alien Addition Writing Assignment

In Class: Peer sharing and discussion of first drafts.

Homework:

04/28/16 Thursday Alien Addition Writing Assignment

In Class: Group A hands drafts to DI. Everybody continues the drafting process.

Homework:

04/29/16 Friday Alien Addition Writing Assignment

In Class: Group B hands drafts to DI. Group A meets with DI. Continue editing otherwise.

Homework:

----

05/02/16 Monday Alien Addition Writing Assignment

In Class: Group C hands drafts to DI. Group B meets with DI. Continue editing otherwise.

Homework:

05/04/16 Wednesday Alien Addition Writing Assignment

In Class: Group C meets with DI. Continue editing otherwise.

Homework:

05/05/16 Thursday Alien Addition Writing Assignment

In Class: Final peer edits.

Homework:

05/06/16 Friday Chapter 11

In Class: Weighing dinner plates and potatoes.Link To Google Spreadsheet

Homework:

----

05/09/16 Monday Chapter 11

In class: mean and standard deviation, median and quartiles, box and whisker plots.

Homework:

05/11/16 Wednesday Chapter 11

In class: Calculating standard deviation manually versus using a formula, population versus

sample deviation.

Homework:

05/12/16 Thursday Chapter 11

In class: Z-scores, area under the curve, numerical integration.

Homework:

05/13/16 Friday Chapter 11

In class: 5-sigma and the search for the Higgs Boson (minute physics).

Great Tevatron Graphic.

Homework:

----

05/16/16 Monday Chapter 11

In class: Taking correlation data: mass of water versus volume, mass of water versus temperature, graphing data, introducing correlation. Link To Google Spreadsheet

Homework:

05/18/16 Wednesday Chapter 11

In class: Correlation.

Homework:

05/19/16 Thursday Chapter 11

In class: Correlation continued, best fit to a linear relation.

Homework:

05/20/16 Friday Chapter 11

In class: Measuring length versus mass for potatoes and steel balls

Homework:

----

05/23/16 Monday Chapter 11

In class: Developing mathematical relationships based on correlations.

Homework:

05/25/16 Wednesday Chapter 11

In class: Wrapping up any remaining work in Statistics

Homework:

05/26/16 Thursday

05/27/16 Friday

05/31/16 Tuesday

06/02/16 Thursday