1) 9/3/14 W 3) 9/4/14 Th Chapter 9 In class: Hands-on Parabola Activity; Whole class selected problems from 9.2. Homework: Work on problems in 9.

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BMA PreCalculus Work to be done before arriving at school: Complete PreCalculus and Calculus August Assignment Read Class Rules and Expectations If you will be arriving late to BMA, keep following

9 Supplemental WS Unit Circle Blank Ch. 13 Supplemental WS Big Wheel Assignment November Assignment Ch.

1 BMA PreCalculus Work to be done before arriving at school: Complete PreCalculus and Calculus August Assignment Read Class Rules and Expectations If you will be arriving late to BMA, keep following the syllabus!!extra Help Signup! Jump to month: Oct, Nov, Dec, Jan, Feb, Mar, Apr, May Quicklinks: BMA Math Reference Syllabus Class Rules August Assignment Practice Gateways Ch. 9 Supplemental WS Unit Circle Blank Ch. 13 Supplemental WS Big Wheel Assignment November Assignment Ch. 14 Supplemental WS Alcohol & Pot Worksheet Alcohol & Pot Data MidWinter Worksheets Scalar Product Text Vector Product Text Matrix Multiplication Text Graph Sketching WS Graphing Mugshots Real World Graphs Calculus Worksheets Ripped Math Tables Writing Ch. 11 Supplemental WS Correlation Data Full Video List ============================================================= 9/1/14 M Introduction to the course In class: Introduction to the course. Whole class problem solving section 9.1 Read Class Rules and Expectations Download and install Geogebra we will be using it at random times during the year. Read section 9.1 The Distance Formula 04:50 otjinenemath The Midpoint Formula 03:47 otjinenemath Start problems in section 9.1 Additional and alternate videos for 9.1 9/2/14 T Chapter 9 In class: Small group work on section 9.1 (ch. 9 supplemental worksheet) Revise and extend section 9.1 Read 9.2 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 Additional and alternate videos for 9.2 1) 9/3/14 W 3) 9/4/14 Th Chapter 9 In class: Hands-on Parabola Activity; Whole class selected problems from 9.2. Work on problems in 9.2 1) 9/4/14 Th 3) 9/5/14 F Chapter 9 In class: Small group work on 9.2 (ch. 9 supplemental worksheet) Revise and extend 9.2 Read 9.3 Circles 05:37 otjinenemath Start problems in section 9.3 Additional and alternate videos for 9.3 9/8/14 M Chapter 9 In class: Whole class problem solving 9.3 Work on problems in 9.3 9/9/14 T Chapter 9

2 In class: Hands-on ellipse activity; Small group work. Read 9.4 Ellipses 12:54 otjinenemath Start problems in section 9.4. Additional and alternate videos for 9.4 1) 9/10/14 W 3) 9/11/14 Th Chapter 9 (ch. 9 supplemental worksheet) Complete problems in section 9.4 Read section 9.5 Hyperbolas 06:52 otjinenemath Start problems in section 9.5. Additional and alternate videos for 9.5 1) 9/11/14 Th 3) 9/12/14 F Chapter 9 In class: Whole class problem solving on selected 9.5 problems. Work on problems in section 9.5. Conics - Making a Hyperbola with Wax Paper 02:50 Lowderpoop 9/15/14 M Chapter 9 In class: Wax paper hyperbola activity; small group work. Finish problems in section 9.5. Conic Section Formulas 05:21 Brightstorm2 Read section 9.6. Start problems in section 9.6. Additional and alternate videos for 9.6 9/16/14 T Chapter 9 (ch. 9 supplemental worksheet) Work on problems in section ) 9/17/14 W 3) 9/18/14 Th Chapter 9 In class: Whole class problem solving 9.6. Finish problems in section 9.6 Read section 9.7 Quadratic Systems 06:02 otjinenemath Start problem in 9.7. Additional and alternate videos for 9.7 1) 9/18/14 Th 3) 9/19/14 F Chapter 9 In class: Whole class problem solving 9.7. Work on problems in section 9.7

3 9/22/14 M Chapter 9 (ch. 9 supplemental worksheet) Finish work on /23/14 T Chapter 9 In class: Whole class discussion: generating equations from graphs. Student choice based on personal needs: (ch. 9 supplemental worksheet) fill in gaps by doing more problems, watch more videos, work on advanced problems, read wikipedia articles, etc. Be sure to DOCUMENT learning. 1) 9/24/14 W 3) 9/25/14 Th Chapter 9 In class: Whole class discussion: alternative definitions for the conic sections. Student choice based on personal needs: (ch. 9 supplemental worksheet) fill in gaps by doing more problems, watch more videos, work on advanced problems, read wikipedia articles, etc. Be sure to DOCUMENT learning. 1) 9/25/14 Th 3) 9/26/14 F Chapter 9 In class: To be determined by student interests and needs. ==================================================================== 10/6/14 M Chapter 13 In class: Hands-on investigation: Right Triangles and Ratios, (Link to Spreadsheet) Read section 13.1 Trigonometry Identifying Sides 05:23 otjinenemath Trigonometry Functions Introduction 09:14 otjinenemath Trigonometry Functions Reciprocals 04:35 otjinenemath Start problems in section 13.1 Additional and alternate videos for /7/14 T Chapter 13 In class: Whole class selected problem solving 13.1 Finish problems in 13.1 Read section 13.2 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 Additional and alternate videos for ) 10/8/14 W 3) 10/9/14 Th Chapter 13 In class: Whole class discussion: Why 360? Why 2π? Small group work. Work problems in 13.2 Work on Unit Circle Trainer

4 1) 10/9/14 Th 3) 10/10/14 F Chapter 13 (ch. 13 supplemental worksheet) Finish problems in 13.2 Read 13.3 Lessons Reference Angles 06:24 otjinenemath The Unit Circle 10:27 otjinenemath Start problems in 13.3 Additional and alternate videos for /13/14 M Chapter 13 In class: Whole class activity: Unit Circle madness. Work on problems in /14/14 T Chapter 13 In class: Small group work (ch. 13 supplemental worksheet) Finish problems in 13.3 Read section 13.4 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 Additional and alternate videos for ) 10/15/14 W 3) 10/16/14 Th Chapter 13 In class: Whole class activity: graphing inverse trig functions. Small group work. Work on problems in section ) 10/16/14 Th 3) 10/17/14 F Chapter 13 In class: Whole class questions. Intro to 13.5 and 13.6 Finish problems 13.4 Read section 13.5 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 Additional and alternate videos for /20/14 M 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. Work problems in section /21/14 T Chapter 13

5 (ch. 13 supplemental worksheet) Finish problems in section 13.5 Read section 13.6 Law of Cosine 07:06 otjinenemath Law of Cosine SSS 04:53 otjinenemath Start work in section 13.6 Additional and alternate videos for ) 10/22/14 W 3) 10/23/14 Th Chapter 13 In class: Hands-on activity SSS triangles. Whole class questions. Work problems in section ) 10/23/14 Th 3) 10/24/14 F Chapter 13 (ch. 13 supplemental worksheet) Finish chapter 13. (ch. 13 supplemental worksheet) - 10/27/14 M Chapter 14 In class: Whole class Unit Circle Review, building sine and cosine graphs from the Unit Circle. Look at the following Wolfram.com demonstrations (plug-in download required) Read section 14.1 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 Additional and alternate videos for /28/14 T Chapter 14 In class: Whole class building tangent graphs from the Unit Circle. Building graphs of sec, csc, cot. Work problems in section 14.1 Read section 14.2 Look at the following Wolfram.com demonstrations. 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 Additional and alternate videos for ) 10/29/14 W 3) 10/30/14 Th Chapter 14 In class: Shifting and stretching sine and cosine graphs. Preview Big Wheel Assignment.

6 Bring Slalom skis to next class! Preview the November Assignment. (Link to Spreadsheet) Catch up on overflow from previous homework ) 10/30/14 Th 3) 10/31/14 F In class: Measure slalom skis (take data for November Assignment part 1) (Link to Spreadsheet). Preview polar graphing. Finish problems in section 14.2 Complete the November Assignment. (Link to Spreadsheet) Work on (ch. 14 supplemental worksheet) if you want to do more. ==================================================================== 12/1/14 M Chapter 14 In class: Discussion of November Assignment results. Remember the Big Wheel Assignment. Read section 14.3 Formulas for Negatives 03:12 otjinenemath Pythagorean Identities 05:15 otjinenemath Start work in section 14.3 Additional and alternate videos for /2/14 T Chapter 14 In class: Basic Trigonometric Identities Finish problems in section 14.3 Read section 14.4 Trigonometry - Solving Trigonometric Equations 03:58 Brightstorm2 Trigonometric Equations that Require Factoring 05:07 Brightstorm2 Start work in section 14.4 Additional and alternate videos for /4/14 Th Chapter 14 In class: Solving Trigonometric Equations. Finish work in section 14.4 Read section 14.5 Find an Equation for the Sine or Cosine Wave 03:03 Brightstorm2 Start problems in 14.5 Remember there's also the ch. 14 supplemental worksheet Additional and alternate videos for /8/14 M Chapter 14 In class: Trigonometric graph recognition (shifting and stretching day 2). Remember the Big Wheel Assignment. Finish problems in 14.5 Carefully study and understand the following demonstrations: Sum and Difference Formulas Sine Case 04:17 otjinenemath

7 Sum and Difference Formulas Cosine Case 09:24 otjinenemath Sum and Difference Formulas Tangent Case 06:32 otjinenemath Start work in section 14.6 Additional and alternate videos for /9/14 T Chapter 14 In class: Proving the sum and difference formulas for sine and cosine. Sum and Difference Formulas for Sine and Cosine Catch up on overflow from previous homework. Work problems in /11/14 Th Chapter 14 Finish problems in section 14.6 Read section 14.7 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 Additional and alternate videos for 14.7 Remember there's also the ch. 14 supplemental worksheet 12/15/14 M Chapter 14 In class: Deriving the double angle formulas for sine and cosine, deriving sum and difference formula for tan. Catch up on overflow from previous homework assignments Remember the Big Wheel Assignment. 12/16/14 T Chapter 14 In class: Deriving half-angle formulas, chapter review. Finish all work for chapter 14. Remember there's also the Big Wheel Assignment and the ch. 14 supplemental worksheet. 12/16/14 Th Chapter 14 In class: Small Group Work Finish all work for chapter 14. Remember there's also the Big Wheel Assignment and the ch. 14 supplemental worksheet. ==================================================================== 12/29/14 M Chapter 10 In class: Camelot Lindower versus BMA boys, minimal clothing selectionwithout repeats; Whole class problem solving. Read section 10.1 Permutations (06:22) Start problems in 10.1 Additional and alternate videos for /30/14 T Chapter 10 Finish work in section 10.1

8 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 Additional and alternate videos for /1/15 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 - 2y^2)^3; Whole class problem solving. Work problems in section /5/15 M Chapter 10 Finish problems in section 10.2 Read section 10.3 Permutations and Probability (04:02) Start work in section 10.3 Additional and alternate videos for /6/15 T Chapter 10 In class: Experimental probability versus theoretical probability + preview of statistics. (6 coin toss), (Link to Spreadsheet) Work problems in section /8/15 Th Chapter 10 In class: Whole class problem solving. Finish problems in 10.3 Read section 10.4 Probability of Multiple Events (03:59) Using the Complement to Calculate Probability (03:13) Start problems in 10.4 Additional and alternate videos for /12/15 M Chapter 10 In class: Whole class problem solving in Work problems in section /13/15 T Chapter 10 Finish work in section 10.4 Read section 10.5 Probability of Independent Events (02:37) Probability of Dependent Events (03:06) Conditional Probability (02:05) Preview for tomorrow's class: Conditional Probability, drinking and smoking pot (Link to download data) Start work in section 10.5 Additional and alternate videos for /15/15 Th Chapter 10

9 In class: Conditional Probability, drinking and smoking pot (Link to download data) Work problems in section /19/15 M Chapter 10 Finish problems in Read section 10.6 Computing Binomial Probabilities (07:49) Binomial distribution (01:25) binomial distribution on excel (04:23) Start work in section 10.6 Additional and alternate videos for /20/15 T Chapter 10 In class: Whole class problem solving 10.6 Work problems in section /22/15 Th Chapter 10 Finish problems in chapter 10. Read section 12.1 Introduction to Sequences (01:52) Series and Summation Notation (01:59) Start work in section 12.1 Additional and alternate videos for /26/15 M Chapter 12 In class: Whole class problem solving Work problems in section /27/15 T Chapter 12 Finish work in section 12.1 Read section 12.2 Arithmetic Sequences (07:10) Arithmetic Sequences Part 2 (05:10) Arithmetic Sequences Finding Means (06:06) Start work in section 12.2 Additional and alternate videos for /29/15 Th Chapter 12 In class: Whole class problem solving 12.2 Work problems in section /2/15 M Chapter 12 Finish problems in section 12.2 Read section 12.3

10 Geometric Sequences (04:40) Geometric Sequences Part 2 (05:10) Geometric Sequences Finding Means (04:06) Start problems in section 12.3 Additional and alternate videos for /3/15 T Chapter 12 In class: Bouncing balls, cutting or folding paper in half, radioactive half-lives. Work problems in section /5/15 Th Chapter 12 Finish problems in section 12.3 Read section 12.4 Infinite Geometric Series (06:24) Infinite Geometric Series Part 2 (02:31) Start problems in section 12.4 Additional and alternate videos for /9/15 M Chapter 12 In class: Whole class questions. Work problems in section /10/15 T Chapter 12 Finish problems in section 12.4 Read section 12.5 Recursive Sequences (02:17) Recursive Sequences Part 2 (05:10) Start problems in section 12.5 Additional and alternate videos for /12/15 Th Chapter 12 In class: Geometric series in investing: START EARLY! Finish problems in section 12.5 ==================================================================== 2/23/15 M Classifying Numbers, closure under various operations. In class: Whole class discussion: why do we need Naturals, Integers, Imaginaries, etcetera? Watch the Classifying Numbers video. Complete MidWinter Worksheet A. 2/24/15 T Rational and Irrational Numbers In class: The square-root of 2? Repeating decimals? The billionths digit of pi? How to Count to Infinity Complete MidWinter Worksheet B. Read Lial et. al. Section 8.5 Read Lial et. al. Section 8.6 2/26/15 Th Complex Numbers In class: Complex conjugates, graphing in the complex plane, DeMoivre'stheorem.

11 Complete MidWinter Worksheet C. 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 3/2/15 M Complex Exponentials In class: Euler's Theorem Complete MidWinter Worksheet D. How to add vectors graphically How to subtract vectors graphically 3/3/15 T Vectors In class: Vectors from the view of a mathematician, adding and subtracting. Complete MidWinter Worksheet E. Read The Scalar Product (9.4) Read The Vector Product (9.5) 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 3/5/15 Th Vectors In class: Multiplying vectors: scalar product and vector product. Complete MidWinter Worksheet F. Angle between two planes 3/9/15 M Vectors In class: Angle between two vectors in 2D, 3D and 4D. Complete MidWinter Worksheet G. Read Matrix Multiplication (7.2) Mutiplying matrices Look at, but don't be scared by: Spinors in three dimensions 3/10/15 T Vectors In class: "Spinors" --> 3D Vector --> 2x2 matrix, are closed under what functions? Complete MidWinter Worksheet H. (This might be helpful: Spinors in three dimensions) Do you best on the Graph Sketching Worksheet Day 1. 3/12/15 Th Connecting Graphs With Equations In class: Small group comparison on graph sketching worksheet, Whole class sharing, start looking at mugshots. Work on Graph Sketching Worksheet Day 2.

12 3/16/15 M Connecting Graphs With Equations In class: Whole class discussion, finish any mugshots, look at reflections, talk about inverses, start on shifts. Work on Graph Sketching Worksheet Day 3. 3/17/15 T Connecting Graphs With Equations In class: Sharing student generated graphs. Get caught up on homework. Look at Real World Graphs. Choose one of the graphs and write something interesting about it. 3/19/15 Th Connecting Graphs with Equations In class: Sharing student generated graphs. Rational expressions, polynomials. Get caught up on homework. 3/23/15 M Calculus: Derivatives In class: Theory behind derivatives. A: Finding the slope of a curved line B: Definition of the derivative C: Developing the power rule for taking derivatives Complete PreCalculus Calculus Worksheet A 3/24/15 T Calculus: Derivatives In class: Basic rules and tricks of derivatives. G: Comparing graphs of functions and their derivatives Complete PreCalculus Calculus Worksheet B 3/26/15 Th Calculus: Derivatives In class: Connecting graphs of functions with graphs of the derivatives Complete PreCalculus Calculus Worksheet C A: Introduction to Integration and the Integral 3/30/15 M Calculus: Integrals In class: Theory behind integrals F: Preview of tricks and rules of integration Complete PreCalculus Calculus Worksheet D 3/31/15 T Calculus: Integrals In class: Basic rules and trick of integrals. TBA in class. G: Area under a curve manually with paper and scissors Complete PreCalculus Calculus Worksheet E Preview PreCalculus Calculus Worksheet F 4/2/15 Th Calculus: Integrals In class: Area under the curve with calculus and with paper, scissors and scale. Come back from April Break all caught up in PreCalculus. (or with just a few questions.) ====================================================================

13 4/20/15 M Ripped Math Tables Writing Assignment In Class: Introduction to the activity, start work, take notes as you go. Write up your class notes as more formal journal entries. 4/21/15 T Ripped Math Tables Writing Assignment In Class: Continue to figure out the ripped math tables worksheet. Continue to write up notes as formal journal entries. 1) 4/22/14 W 3) 4/23/14 Th Ripped Math Tables Writing Assignment In Class: Probably wrap-up of figuring things out, transition to looking at the process. Wrap up journaling. Make a list of everything that you need to include in a paper about this activity. 1) 4/23/14 Th 3) 4/24/14 F Ripped Math Tables Writing Assignment In Class: Come up with a list of what needs to be in a paper. Start an outline. Write an outline for your paper. Start working on a first draft. UndergradWritingExample1.pdf UndergradWritingExample2.pdf UndergradWritingExample3.pdf 4/27/15 M Ripped Math Tables Writing Assignment In Class: Discussion about what should be in a paper, working on first drafts. Come to next class with a first draft written! 4/28/15 T Ripped Math Tables Writing Assignment In Class: Peer sharing and discussion of first drafts. Come to next class with a second draft written. Group A should have a draft ready to hand in to DI. 1) 4/29/14 W 3) 4/30/14 Th Ripped Math Tables Writing Assignment In Class: Group A hands drafts to DI. Everybody continues the drafting process. Continue to revise paper. Group B should have a draft ready to hand in to DI. 1) 4/30/14 Th 3) 5/1/14 F Ripped Math Tables Writing Assignment In Class: Group B hands drafts to DI. Group A meets with DI. Continue editing otherwise. Continue to revise paper. Group C should have a draft ready to hand in to DI. 5/4/15 M Ripped Math Tables Writing Assignment In Class: Group C hands drafts to DI. Group B meets with DI. Continue editing otherwise.

14 Keep improving. 5/5/15 T Ripped Math Tables Writing Assignment In Class: Group C meets with DI. Continue editing otherwise. Prepare penultimate draft for final round of peer editing. 1) 5/6/14 W 3) 5/7/14 Th Ripped Math Tables Writing Assignment In Class: Final peer edits. Write final draft of paper. 1) 5/7/14 Th 3) 5/8/14 F Chapter 11 In Class: Weighing dinner plates and potatoes.link To Google Spreadsheet Obtain beaker data for the Normal Distribution Lab Start work on the Normal Distribution Lab Read section 11.1 Start problems in /11/15 M Chapter 11 In class: mean and standard deviation, median and quartiles, box and whisker plots. Finish work on the Normal Distribution Lab Finish work on section /12/15 T Chapter 11 In class: Calculating standard deviation manually versus using a formula, population versus sample deviation. Work on Median Quartile Lab Read section 11.2 Start work in section ) 5/13/14 W 3) 5/14/14 Th Chapter 11 In class: Z-scores, area under the curve, numerical integration. Finish Median Quartile Lab Finish work in Section ) 5/14/14 Th 3) 5/15/14 F Chapter 11 In class: 5-sigma and the search for the Higgs Boson (minute physics). Great Tevatron Graphic. Start work on Correlation Lab (Link to data) Read section 11.3 Start work in section /18/15 M 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 Finish Correlation Lab (Link to data)

15 Finish work in section /19/15 T Chapter 11 In class: Correlation. Start work on How To Do Statistics By Hand Read section 11.4 Start work in section ) 5/20/14 W 3) 5/21/14 Th Chapter 11 In class: Correlation continued, best fit to a linear relation. Finish How To Do Statistics By Hand. Finish work in section ) 5/21/14 Th 3) 5/22/14 F Chapter 11 In class: Measuring length versus mass for potatoes and steel balls Read section 11.5 Start work in section /26/15 T Chapter 11 In class: Developing mathematical relationships based on correlations. Finish work in section /28/15 Th Chapter 11 In class: Wrapping up any remaining work in Statistics Wrap up all work for the year.

Mathematics subject curriculum

Mathematics subject curriculum Dette er ei omsetjing av den fastsette læreplanteksten. Læreplanen er fastsett på Nynorsk Established as a Regulation by the Ministry of Education and Research on 24 June