Anita Chakraborty-Spotts Algebra I Honors (period 5) MANDATORY OFFICE HOURS 3.05-4.00 (listed by ID; students w/ grades below 70%C): Office Hours: Thursday& Fridays 3:05-4:05 Voice mail: 303-453-4760 email: anita.chakraborty-sp@bvsd.org Tests and quizzes every monday/ friday NOTES: 1.) Please look at the date carefully, as I sometimes put up homework for weeks to come!!! 2.) The first 2 weeks students shoudl spend 15 min on homework. A student should spend about 20-25 minutes per homework. use websiteS to study for algebra final if needed http://www.doe.virginia.gov/VDOE/Assessment/Release2005/RIB_EOCA1_WEB.pdf http://www.u46.k12.il.us/shs/anthonygregory/userfiles/47242_algebra12secondsemesterfinalreview0506.pdf set 5/ 19 study for final set 5/12 p527 49 51 57 61 set5/13 567 31-43 odd set5/5 p585 q 11-18 these are review questions set 6/5 the 5 questions on rationalization of numerator and denominator. set 5/7 study for quiz on last nights homeowrk on rationalization. 5 questions ot be set. friday we will continue with complex numbers. test on chapter 7 on 16th set fri create and solve 2 quadratic questions set 4/28 p463 43-62 set tues p 46931-71 every other odd set block- do 20 questions 7.1-4 for the quiz on Monday set 4/21 finish lab set4/22 trig worksheet assessments set 4/25 7.1 p 454 55-88 set 4/14- worksheet both sides if possible. 4/15 sin questions, 5 of each type. set 4/7 p 408 47 45 46 41 37 Set 4/8 ch 6 review set 4/9 use packets from today to study http://www.monkey.org/~aidan/origami/crane/ set 3/31 p 396-7 11-35 odd set tues p382 27-50 odd set block p389 31-47 backwards odd quiz in a class group worksheet started in class time 6.1-5 on Friday set 3/17 mon p 373 q 1-15 odd and 19-34 all started in class tues p 373 41-75odd block div of monomials p 396 1-10 21-49 odd friday in class synthetic div 6.5 3/10 you must write out your first draft of you report: include equations of a the major lines drawn, comment on any rotaional symmetry present, angle of rotation, important measurements. short paragraph. set tues 2/26 p 537 q 1 4 5 set wed solve these 10 questions usign completign the square method. 1. x^2 +6x+4=0 2 x^2 +8x+3=0 3. x^2-8x+3=0 4 x^2 +10x+21=0 5. x^2 - 16x -17=0 6 2x^2 - 10x +11=0 7 2x^2 - 14x +13=0 8 5x^2 + 24x +21 = 0 9 -4x^2 + 20x +39 = 0 10 5x^2 -13x +12 = 0 set 2/25 due 17th march project+ daily progress journal+ written report + citation. choose project 1Activity: Using a compass, ruler And pencil only and create a perfect pentagon. Report how does this relate to the golden ratio? Hints http://en.wikipedia.org/wiki/Pentagon 2Activity: Create a Celtic knot using graph OR isometric paper Website : http://www.aon-celtic.com/cknotbasic/cknotwork4.html Report on how line or rotational symmetry is used Closure: Use it to create a stamp and print it on a wall or on material. Wear to school on St Patrick’s day. 3 Tessellations based on M.C. Escher Tessellations are a series of repeating patterns or designs that interlock. The positive and negative space work together to create the images. Activity: Students will start with ANY shape piece of paper. They will use either the rotation or slide transition method to create a template for their tessellations. They will trace onto newsprint to come up with an idea for the image it will create. Then they will trace onto larger surface area ( a wall) to create a repeating pattern of images. They will paint to achieve the final product. - Can use animation with computer program. See examples Use Clarisworks, Flying colors or the online demo version of Tessellmania. http://www.mcn.org/ed/CUR/cw/Math/Tessellation/Tessell.html Closure: We will put up all of the student artwork and have a discussion about successes and failures using art vocabulary. This website can be used as an aide http://www.woodlands-junior.kent.sch.uk/maths/shape.htm#Tessellations 4 Create a mandala using compass, protractor and ruler and explain the types and lines of reflection used or rotational properties. Use color to enhance your assignment. Closure : May be chosen to create a tabletop. 5 MUST DO SQUARE Convince me by showing full working and justification for getting from one line to the next. This equals the golden ratio- try it out on your calculator. 6 Read an article about Islamic tiling then find out about Roger Penrose and his work with tiling Report: 5 paragraph essay with pictures where necessary Math is Eurocentric. Discuss with examples. 7http://www.manteno.k12.il.us/webquest/middle/Math/Fractals/fractalquest.htm Use this website to write up a report on Fractals. 8 Take an assignment from the Fibonacci website. http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html Either construct a model or create a visual representation of what you have learnt. E.g. a spiral galaxy, nautical shell, rabbit populations, plant growth, sunflower head and how set 2/19 set tues through the week: do the review of chapter 5 complete the project for monday. ch5 test on Friday. set mon 2/11 set mon finish zero property worksheet set tues p350 q 36 37 39 48 49 53 find x ,y intercepts and then graph the equation set mon 2/4 feb p334 q 36-44 even, 50,52,54,60 set tues zero property worksheet- done in class- learn the quadratic equation and the formula set wed p338-9 9-77 as much as needed backwards test on chapter 5-5.7 on Monday 2/11 set mon 28th jan differentiated homework.- some doign corrections 4 questions per objective for retest on Friday. others doing exponent work and scientific notation/ project.===> due Monday tues factoring with algebra tiles 6 questions block: worksheet friday factoring by substitution. set tues23rd p311 pick any 10 questions from 49-80 set block p318-9 pick any 12 questions from 33-65 TEst on friday : test material p319 q 77-84 fill in objective packet set mon 14th jan p289 28-74 even sset tues p301 80-83 89-92 no hwk wed. set mon jan 7th due tues inclass pretest , gaols for chapter 5 written on a piece of paper. fill in as much of packet as possible. set tues due wed p282 q 39-62 set wed due fri p283 63-71 81-89 odd set friday due monday- scientific notation project for a quiz grade, full working choose your questions from the choice board. Header: 18thDec 2007 Discovering e and other ideas PART A In a word document Give 5 different examples where the number e is important- explain the uses. If you can find, its close relationship to p. Who are the men who first used the term “logarithmic” and e? Must do: http://home.alltel.net/okrebs/page54.html Some suggestions are: http://www.math.toronto.edu/mathnet/answers/ereal.html http://mathworld.wolfram.com/e.html http://en.wikipedia.org/wiki/E_%28mathematical_constant%29 http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/e.html http://ca.geocities.com/geheimsaskatoon/e.html http://www.ies.co.jp/math/java/calc/expo/expo.html You are most welcome to search and read other math related websites. List the topic and the website. What did you find interesting about the topic? Part B Answer these questions in full sentence form. A paragraph for each should be fine. Who is your favorite mathematician / scientist and why do they inspire you?- you may need to do some internet research to help you. What makes a good mathematician? What was the best ever math lesson you’ve had? What in the activity made you learn a concept? What are you looking forward to learning in the future?- be it this year or following years. Remember to use spell check Save all your written work. save as : “your name- e. Go to the p drive. week beginnign 10th dec to do the cummulative review at the end of chapter 4 for wednesday. week 3rd dec set mon - complete objectives from ch3 due thurs- complete any missing/ incorrect objectives with even examples from the text book. for ch1-2 set thurs- start ch 4- finish for mon . - students must attend office hours mon./ tues/ wed and fri of this week if they have any outstandign homeworks. week beginning 26nov set mon - finish cramers rule question started in class finish any outstanding hwk. give examples for the ch 1+2 packets week beginnign 13th nov set tuesp243 q 1-12 set block p244 qeven- 14- 28 on Friday we will do an inequaltities drawign usign standard form equations - in class time - this will be assessed as a quiz. week beginning 5th nov set mon p 226 q 13 14 73-83 and 85 set tues p 227 q 87-94 middle school only set block p 233 odd 1-13 no homework week beginning 29th oct mon corrections from quiz. each students is required to do 5 questions for each skill that they missed tues ch4.1 p225 1-14 block solvign by substitution worksheet friday harder solving by elimination, show check 1) 3x+5y=4.7 6x+2y= 6.2 2) 5x-6y= 2.7 10x+7y = 1.6 3) 6x+5y=5.1 4x-2y= -1.4 4) 3x+2y= 24.4 4x +5y = 47.7 5) x+y= 1000 0.38x+ 0.46y = 400 week beginning 15th oct quiz on monday15th 3.1-5 set mon: bring a barbie/ action figure/ large plastic toy in for tuesday. copy box on p195 and examples p195-7 do p198 q 1-12 set tues for Friday- write up your line of best fit work. MAJOR CHAPTER 3 PROJECT DUE - SEE RUBRIC friday: no hwk week beginning 8th oct set mon p177 even 2-24 set tues p178 even 46-74 set block p189 34-52 extension p191 odd 89-93 in class we will do p192-3 q 1-24 whihc are rview questions- complete if necessary in own time. Week Beginning 9/30 mon 30th read 3.1 bring graph paper to class tues Oct.1 p140 q 5,17-21 odd reamining question to 81 block 2/3 p151 q 7,9,11,16,18,23,25,27,30,36 43-61odd and 70 fri 4th p 162 q 1-8 35-54 all Week Beginning 9/24 mon 24th P114 Q 1-14 tues 25th P114B Q 15-28 block 26/27 IN CLASS DO P115 Q 29-63 ODD Friday 28 REVIEW FOR CHAPTER 2 TEST ON MONDAY !!!!USE REVIEW PAGES. Week Beginning 9/17 Mon 17th p.102, q.35-51 odd Tues 18th p.109, q.27-71 odd Block 19/20 p.115 eoo, q.29-81 Fri 21st no school *Chapter 2 Test on Friday, Sept. 28th* Week Beginning 9/10 Mon 10th p79 q 25-28 Tues 11th p92 1-73 every other question block 12/13 study for quiz 2.2-2.4 Fri 14th p93 75-83 odd\ Week Beginning 9/3 Mon 3rd no school Tues 4th p.68, q.13-16,27-30,37,40 block 5/6 review p.2.1-2.2, odd p.123-124 Fri: 7th p.79, q.1-23 odd Week Beginning 8/27 Mon 27th p.41-42, q.82-105 tues 28th p.60, q.37-77 odd block 29/30 study for chapter 1 test fri 31st chapter test1 Week Beginning 8/20 mon 20th Aug due tues 1.2, p. 15 odd q 1-13 tues 21st due block 1.2 p 16-7 even 16-58 block 22nd/23rd due fri 1.2 p 17 odd 59-95 fri 24th Quiz today on exercise 1.2 howk to chapter review p. 47-49 as many as required odd questions only. Honors Algebra I Curriculum Map CDE Standards Standard 1: Students develop number sense and use numbers and number relationships in problem-solving situations and communicate the reasoning used in solving these problems. Standard 2: Students use algebraic methods to explore, model and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems. Standard 3: Students use data collection and analysis, statistics, and probability in problem-solving situations and communicate the reasoning and processes used in solving these problems. I. Real Numbers and Algebraic Expressions Algebraic expressions and sets of numbers Operations with real numbers and variables Order of Operations Properties of real numbers Adding, subtracting, multiplying, dividing signed numbers CDE Standards 1.1 Demonstrating meanings for whole numbers, commonly-used fractions and decimals and representing equivalent forms of the same number through the use of physical models, drawings, calculators, and computers. Students will: · locate integers on the number line and operate with signed numbers 1.3 Applying number theory concepts to represent numbers in various ways Students will: · write the prime factorization of whole numbers in exponential form · demonstrate the divisibility rules for 2, 3, 4, 5, 6, 9, 10 · determine the greatest common factor and least common multiple of whole numbers using prime factorization · write very small or very large rational numbers in scientific notation II. Equations, Inequalities, and Problem Solving Linear equations in one variable Problem solving: intro, formulas, linear inequalities Compound inequalities Absolute value equations and inequalities CDE Standards 2.2 Describing patterns using variables, expressions, equations, and inequalities in problem-solving situations. Students will: · solve problems from patterns involving positive rational numbers and integers using tables, graphs, and rules 2.5 Solving simple linear equations in problem-solving situations using a variety of methods and tools Students will: · translate written expressions or equations to algebraic expressions or equations · using formal methods, solve one-step and two-step linear equations involving integers and constants on one or both sides of the equation · use a variety of functions, linear and nonlinear, to represent real-world and mathematical relationships III. Graphs and Functions Introduction to functions Evaluating expressions with 2 variables Graphing linear functions in the Cartesian Coordinate System Intercepts and rapid graphing Slope and rapid graphing Finding an equation from the graph Graphing linear inequalities CDE Standards 2.2 Describing patterns using variables, expressions, equations, and inequalities in problem-solving situations. 2.5 Solving linear equations in problem-solving situations using a variety of methods and tools IV. Systems of Equations Solving systems of linear equations in two and three variables Problem solving with systems of linear equations Solving systems of equations by matrices Solving systems of equations by determinants CDE Standards 2.2 Describing patterns using variables, expressions, equations, and inequalities in problem-solving situations. Students will: · solve problems from patterns involving positive rational numbers and integers using tables, graphs, and rules 2.5 Solving simple linear equations in problem-solving situations using a variety of methods and tools Students will: · translate written expressions or equations to algebraic expressions or equations · using formal methods, solve one-step and two-step linear equations involving integers and constants on one or both sides of the equation · use a variety of functions, linear and nonlinear, to represent real-world and mathematical relationships 2.3 Solving problems involving functional relationships using graphing calculators and/or computers as well as appropriate paper-and-pencil techniques. Students will: · solve simple systems of equations and inequalities using algebraic or graphical methods · solve literal equations V. Exponents, Polynomials and Polynomial Functions Exponents and scientific notation Polynomials and polynomial functions Product of 2 binomials Greatest common factor, and factoring by grouping Factoring quadratic trinomials Factoring a difference of 2 squares Squaring a binomial Factoring trinomial squares CDE Standards 2.2 Describing patterns using variables, expressions, equations, and inequalities in problem-solving situations. 2.5 Solving linear equations in problem-solving situations using a variety of methods and tools VI. Rational Expressions Simplify, add, subtract, multiply, divide rational algebraic expressions Least common multiple Long division of polynomials Synthetic division and the remainder theorem Solving equations containing rational expressions CDE Standards 2.2 Describing patterns using variables, expressions, equations, and inequalities in problem-solving situations. 2.5 Solving linear equations in problem-solving situations using a variety of methods and tools VII. Rational Exponents, Radicals and Complex Numbers Radicals and radical functions Rational exponents Simplifying radical expressions Adding, subtracting, multiplying radical expressions Rationalizing denominators and numerators of radical expressions Radical equations and problems solving Complex numbers CDE Standards 1.3 Applying number theory concepts to represent numbers in various ways 2.2 Describing patterns using variables, expressions, equations, and inequalities in problem-solving situations. VIII. Quadratic Equations and Functions Solving quadratic equations by completing the square Solving quadratic equations by the Quadratic Formula Solving equations using the quadratic methods Nonlinear inequalities in one variable Further graphing of quadratic functions CDE Standards 2.3 Solving problems involving functional relationships using graphing calculators and/or computers as well as appropriate paper-and-pencil techniques. Students will: · solve simple systems of equations and inequalities using algebraic or graphical methods