Buford High School CURRICULUM CALENDAR

Transcription

1 Week 1 Thursday, 8/4 Syllabus Strategies for success and classroom expectations Friday, 8/5 Algebra diagnostic Determine skills of students Rules, Syllabus, Books and Introductions Recommend including time to review functions from prior courses in detail. Students are very weak in characteristics of functions. Warm up: Solve given algebra problems Class: Math vocabulary, review most common algebraic mistakes, solving equations without calculator worksheet 1

2 Week 2 Monday, 8/8 SLO Matrix Operations SLO 7.2 Find sums, differences, scalar products of matrices Tuesday, 8/9 Matrix Operations 7.2 Find sums, differences, scalar products of matrices; understand how commutative, associative and distributive properties apply to matrices Wednesday, 8/10 Matrix Operations 7.2 Find products of matrices; understand how commutative property may apply to matrix multiplication Thursday, 8/11 Matrix Operations 7.2 Find determinants and inverses of matrices and use these to solve matrix equations Friday, 8/12 Matrix Operations 7.2 Properties, find determinants and inverses of matrices and use these to solve matrix equations SLO Pre-test Warm up: solve 6 algebra problems No calculator Class: Review Algebra HW HW: Warm up: Simplify given expression Class: Vocabulary matrix, element, dimensions, equal matrices, zero matrix. Add, Subtract, Scalar multiplication of matrices; p. 540 #1-6,7-10,29-32 HW: p. 540 #11-16 Warm up: Quick review 7.1 #1-6 Class: Review HW, multiplication of matrices; p. 540 #18-32 evens HW: p. 540 #17-31 odds Warm up: matrix multiplication problems worksheet. Determine which can be multiplied and then do #1,8,9. Class: Review HW, multiplication applications worksheet, study for quiz Warm up: Check answers to homework on board Class: Quiz over basic operations; determinants and inverses determinants, dividing matrices using inverse matrices worksheet, solve matrix equations 12.N.VM.7 12.N.VM.8 12.N.VM.7 12.N.VM.8 12.N.VM.9 12.N.VM N.VM N.VM.7 12.N.VM.8 12.N.VM.9 12.N.VM A.REI.9 2

3 Week 3 Monday, 8/15 Matrix Operations 7.2 Use determinants and inverses to solve matrix equations Tuesday, 8/16 Matrix Operations 7.2 Solve a system of 3 equations using 3x3 matrix equations and Cramer s Rule Wednesday, 8/17 Thursday, 8/18 Friday, 8/19 Matrix Applications Matrix Applications Matrix Applications 7.2 Solve a system of 3 equations using 3x3 matrix equations and Cramer s Rule 7.2 Cramer s Rule; Applications of matrices 7.2 Applications of matrices Warm up: Find the inverse of the given matrix and prove answer by multiplying and getting the identity matrix Class: Review quiz; Solve matrix equations by writing as X = A 1 B; worksheet #17-24 evens HW: finish #17-24 Warm up: Solve the system of two equations using any method you remember Class: Review HW; solving systems of equations using matrices; finding determinants of 3x3 matrices; Cramer s Rule to find solutions to systems of three equations, worksheet #1-10 #1-10 Warm up: Check homework answers, make corrections Class: Review HW; solving systems of equations using Cramer s Rule, worksheet #11-16 and Study for quiz Warm up: Find the inverse of the given matrix Class: Quiz over determinants and inverses; Review HW; continue to practice Cramer s Rule additional worksheet #1-6 Review Cramer s rule and Inverse Verification HW: Warm up: Solve the given system of three equations using Cramer s Rule Class: Review quiz; continue word problems HW: Worksheet word problems # N.VM N.REI.9 12.N.VM.7 12.N.VM.8 12.N.VM.9 12.N.VM A.REI.9 12.N.VM.7 12.N.VM.8 12.N.VM.9 12.N.VM A.REI.9 12.N.VM.7 12.N.VM.8 12.N.VM.9 12.N.VM A.REI.9 12.N.VM.6 12.N.VM.7 12.N.VM.8 12.N.VM.9 12.N.VM A.REI.9 3

4 Week 4 Monday, 8/22 Matrix Applications Tuesday, 8/23 Wednesday, 8/24 Matrix Applications Matrix Applications 7.2 Applications of matrices 7.2 Applications of matrices 7.2 Applications of matrices Warm up: Take Matrix Applications worksheet and SET UP #1 and #2 Class: Review HW; worksheet with word problems HW: finish word problems Warm up: Find the inverse of the given matrix Class: Review HW; practice matrix word problems, solving two step matrix equations HW: p #13, and #25 and 30 using Cramer s Rule Warm up: Solve the given two-step matrix equation Class: Review HW; continue working with more complicated matrix equations HW: worksheet #1-9 Thursday, 8/25 Matrices Review of Matrices Unit Warm up: Solve the given matrix equation Class: Review HW; review Matrix Operations, Inverses, Applications, and solving equations Bluff Game HW: study for test tomorrow Friday, 8/26 Matrices TEST TEST #1 over Matrices Matrices unit went well. 12.N.VM.6 12.N.VM.7 12.N.VM.8 12.N.VM.9 12.N.VM A.REI.9 12.N.VM.6 12.N.VM.7 12.N.VM.8 12.N.VM.9 12.N.VM A.REI.9 12.N.VM.6 12.N.VM.7 12.N.VM.8 12.N.VM.9 12.N.VM A.REI.9 12.N.VM.6 12.N.VM.7 12.N.VM.8 12.N.VM.9 12.N.VM A.REI.9 12.N.VM.6 12.N.VM.7 12.N.VM.8 12.N.VM.9 12.N.VM A.REI.9 4

5 Week 5 Monday, 8/29 Exponential Graphing exponential functions Warm up: Name as many families of functions as you can Class: Review of functions worksheet #0 Vocabulary: interval notation, domain, range, continuity, absolute and relative min/max, intervals of inc/dec, boundedness, asymptotes, symmetry, end behavior written as limits. HW: Worksheet 0 # F.IF.7 12.F.IF.7e Tuesday, 8/30 Wednesday, 8/31 Thursday, 9/1 Friday, 9/2 Early Release (1 st, 2 nd, 3 rd, 5 th ) Exponential Exponential Exponential Algebra Review Graphing exponential functions Graphing and solving exponential functions Solving exponential functions Review algebra weaknesses determined from first month of class Warm up: Graph y = 2 x Class: Graphing exponential growth functions; Text p. 261 #1-10 HW: graph 8 given functions Warm up: Graph given exponential growth function Class: Graphing exponential decay functions HW: graph 8 given functions Warm up: Graph y = x², y = x 2, y = ( x 2 ) Class: Graphing exponential functions with reflections; show translation of points HW: study for quiz Tuesday Warm up: Algebra Review Class: Review weaknesses HW: study for quiz Tuesday 12.F.IF.7 12.F.IF.7e 12.F.IF.7 12.F.IF.7e 12.F.IF.7 12.F.IF.7e 5

6 Week 6 Monday, 9/5 LABOR DAY HOLIDAY Tuesday, 9/6 Wednesday, 9/7 Essay English Thursday, 9/8 Friday, 9/9 Benchmark #1 Electives Exponential Exponential Exponential Exponential Review properties of exponents; solving exponential equations Solving exponential equations Solving exponential equations Applications of exponential functions Warm up: Clear desk for quiz Class: QUIZ graphing exponential functions Review of properties of exponents Warm up: simplify given exponents expression Class: Review quiz, if possible; solving exponential equations worksheet evens. Vocabulary: base, exponent, powers, simplify, evaluate, solve. #1-20 Warm up: solve given exponential equation; evaluate given exponential function at given x-values Class: Continue solving more complicated exponential equations HW: Finish worksheet #21-38 Warm up: evaluate given exponential function Class: word problems for exponential growth and decay HW: finish word problems 12.F.IF.7 12.F.IF.7e 12.F.IF.8b 12.F.IF.8b 12.F.IF.7 12.F.IF.7e 12.F.IF.8b 12.F.IF.7 12.F.IF.7e 12.F.IF.8b *NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, SEPTEMBER 7.* *NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, SEPTEMBER 8 FRIDAY, SEPTEMBER 16 (INCLUSIVE).* 6

7 Week 7 Monday, 9/12 Benchmark #1 Social Studies Tuesday, 9/13 Benchmark #1 Science Exponential Exponential Solving word problems Solving word problems Warm up: given word problem Class: Review word problems; continue word problems compound interest Warm up: given word problem Class: continue applications of exponential functions HW: review of graphing exponential functions 12.F.IF.7 12.F.IF.7e 12.F.IF.8b 12.F.IF.7 12.F.IF.7e 12.F.IF.8b Wednesday, 9/14 Exponential Solving word problems Warm up: solve the given matrix equation Class: word problems HW: Benchmark Review worksheet covering matrices 12.F.IF.7 12.F.IF.7e 12.F.IF.8b Thursday, 9/15 Benchmark #1 English Friday, 9/16 Benchmark #1 Math Matrices and Exponentials Review for Benchmark #1 Warm up: solve the system of 3 equations using Cramer s Rule Class: Review Matrices and Exponentials for Benchmark HW: Math Benchmark #1 Students weak in prior course work. 12.N.VM.6 12.N.VM.7 12.N.VM.8 12.N.VM.9 12.N.VM A.REI.9 12.F.IF.7 12.F.IF.7e 12.F.IF.8b *NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, SEPTEMBER 8 FRIDAY, SEPTEMBER 16 (INCLUSIVE).* 7

8 Week 8 Monday, 9/19 Exponential Tuesday, 9/20 Exponential Warm up: Class: Review of Exponential graphs, equations & applications HW: study for test TEST #2 over Exponentials Review of prior courses: function characteristics would help. 12.F.IF.7 12.F.IF.7e 12.F.IF.8b 12.F.IF.7 12.F.IF.7e 12.F.IF.8b Wednesday, 9/21 Logarithms Understanding that logarithms are inverses of exponential functions Thursday, 9/22 Logarithms Natural logarithms, using properties of logs to expand and condense log equations Friday, 9/23 Early Release Homecoming (7 th, 6 th, 4 th, 5 th ) Algebra support Warm up: Find the inverse of the given functions Class: Graphing the inverse of y = 2 x and other exponential functions. Define logarithm, rewriting logs as exponentials and exponentials as logs. Showing the points of the graphs of logs and exponentials as inverses. Give examples of rewriting exponentials as logs. Text p. 281 #1-12 odds; HW: finish all problems text p. 281 #1-12 Warm up: Because log = 8, what does 3 log 3 11 =? Class: text p. 281 #19-22; define the Euler number e, text p. 281 #13-18; 19-24; Simplifying logs. Properties of logs and expressing logs in condensed and expanded forms; change of base formula HW: worksheet #20-37 Warm up: Solve given algebra problem Class: Algebra review HW: 12.F.BF.4 12.F.BF.4d+ 12.F.BF.4 12.F.BF.4d+ 8

9 Week 9 Monday, 9/26 Logarithms To understand how expanding and condensing logs help to solve log equations Tuesday, 9/27 Logarithms To practice solving logarithmic and exponential equations Wednesday, 9/28 Essay Social Studies Logarithms Review of logarithms, practice with solving equations Thursday, 9/29 Logarithms Rewriting logs in terms of other logs Friday, 9/30 Logarithms Rewriting logs in terms of other logs Warm up: Simplify given log problems Class: Expanding and condensing log expressions; using expanding and condensing to solve log equations worksheet #1-10 and then #11-29 odds in class Warm up: check answers to homework and correct Class: Solving logarithmic and exponential equations using properties of logs worksheet. Odds in class Warm up: Solve given log equation and exponential equation Class: Review and practice logs; log equations cut out puzzle HW: study for quiz Warm up: clear desk for quiz Class: QUIZ; writing logs in terms of other logs worksheet Warm up: check answers to homework and make corrections Class: Review quiz, if possible; continue rewriting logs 12.F.BF.4 12.F.BF.4d+ 12.F.BF.4 12.F.BF.4d+ 12.F.BF.4 12.F.BF.4d+ 12.F.BF.4 12.F.BF.4d+ 12.F.BF.4 12.F.BF.4d+ *NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, SEPTEMBER 28.* 9

10 Week 10 Monday, 10/3 Logarithms Graphing logarithms; understanding logs are inverses of exponentials Tuesday, 10/4 Logarithms Graphing more complicated log functions including translations Wednesday, 10/5 Essay Science Logarithms Graphing logarithms including reflections Thursday, 10/6 Logarithms Applications of logarithms modeling word problems Friday, 10/7 Warm up: graph y = 2 x and y = log 2 x Class: Explore graphs of logs, translations of points. Graph given functions. HW: Graph given functions Warm up: Graph given function Class: Graphing log functions with fractional bases and coefficients of x. HW: Graph given functions Warm up: Take sheet of graph paper. Graph y = log 2 x, include a table of values with a minimum of 5 points. Class: Students graph y = log 2 ( x) and y = log 2 x and compare to the warm up. Discuss how the negatives in the functions affect the graphs. Graph given log functions that include reflections. Determine the translations, then graph. HW: Graph given log functions. Warm up: Compound interest word problem Class: Applications of logs; compound interest using logs A = Pe rt. Worksheet HW: Finish worksheet FACULTY AND STAFF PROFESSIONAL LEARNING DAY / STUDENT HOLIDAY 12.F.BF.4 12.F.BF.4d+ 12.F.BF.4 12.F.BF.4d+ 12.F.BF.4 12.F.BF.4d+ 12.F.BF.4 12.F.BF.4d+ *NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, OCTOBER 5.* 10

11 Week 11 Monday, 10/10 FALL HOLIDAY! Tuesday, 10/11 Logarithms Applications of logarithms Warm up: Compound interest word problem comparing interest rates Class: Applications of logs worksheet including radioactive decay and magnitudes of earthquakes Wednesday, 10/12 Logarithms Applications of logarithms Thursday, 10/13 Early Release Professional Learning (1 st, 2 nd, 3 rd, 5 th ) Friday, 10/14 Early Release Homecoming (7 th, 6 th, 4 th, 5 th ) Warm up: Class: QUIZ applications of logs; more applications of logs; HW: Log review worksheet Logarithms Review of logs unit Warm up: Class: Review quiz, if possible; Review logs HW: unit review Logarithms Review of logs unit Warm up: Class: Review quiz, if possible; Review logs HW: unit review 12.F.BF.4 12.F.BF.4d+ 12.F.BF.4 12.F.BF.4d+ 12.F.BF.4 12.F.BF.4d+ 12.F.BF.4 12.F.BF.4d+ 11

12 Week 12 Monday, 10/17 Logarithms Review of Logarithms Warm up: Class: Review logarithm unit including inverse of exponential, properties, equations, graphs, applications HW: study for test Tuesday, 10/18 Logarithms TEST #3 over Logarithms More time needs to be spent on this unit. Students need lots Wednesday, 10/19 PSAT ASVAB College/Career Fair Conics Review of circles and parabolas; analyzing the equation of circles and parabolas of practice. Find games, puzzles, etc to help. Warm up: graph circle: (x 3)² + (y + 2)² = 9 Class: review circles and parabolas equations, vocabulary, graphs. Begin ellipses vocabulary, graphing text p #1-16 evens HW: finish p #1-16 all Will need to add Parabolas to next year as well as a circles review Thursday, 10/20 Conics Graphing ellipses Warm up: graph the ellipse Class: review HW, p #21-40 graphing ellipses from given information HW: finish #21-40 Friday, 10/21 Conics Graphing ellipses, analyzing the equation of an ellipse Warm up: graph the ellipse Class: Review HW, more graphing, prove equation is ellipse p. 600 #45-48 (rewrite equation by completing the square) HW: practice rewriting equations (given) 12.F.BF.4 12.F.BF.4d+ 12.F.BF.4 12.F.BF.4d+ 12.G.GPE.3 12.G.GPE.3 12.G.GPE.3 12

13 Week 13 Monday, 10/24 Conics Ellipses Warm up: determine if given equations are ellipses Class: Review HW, practice rewriting equations, begin word problems p. 600 #53-60 HW: finish word problems Tuesday, 10/25 Conics Ellipses/Hyperbolas Warm up: word problem Class: QUIZ review HW; word problem worksheet. Begin hyperbolas Wednesday, 10/26 Essay Math Conics Graphing hyperbolas Warm up: Graph hyperbola centered on origin Class: Graph hyperbolas not centered on origin p. 609 #1-16 HW: finish #1-16 Thursday, 10/27 Conics Graphing hyperbolas; analyzing the equation of hyperbolas Friday, 10/28 Benchmark #2 Electives Conics Writing equations for hyperbolas from given information Warm up: Graph hyperbola not centered on origin Class: Review HW, p. 609 #23-42, HW: finish classwork and include p. 610 #54 Warm up: word problem Class: Review HW, word problems p. 610 #55-58 HW: finish classwork 12.G.GPE.3 12.G.GPE.3 12.G.GPE.3 12.G.GPE.3 12.G.GPE.3 *NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, OCTOBER 26.* *NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, OCTOBER 27 FRIDAY, NOVEMBER 4 (INCLUSIVE).* 13

14 Week 14 Monday, 10/31 Benchmark #2 Science Tuesday, 11/1 Benchmark #2 Social Studies Wednesday, 11/2 Thursday, 11/3 Benchmark #2 Math Conics Matrices, Exponentials, Logarithms, Conics Matrices, Exponentials, Logarithms, Conics Writing equations for hyperbolas from given information Review for Benchmark #2 Review for Benchmark #2 Warm up: rewrite the equations to determine if ellipses, hyperbolas, or neither Class: Continue practice writing equations of ellipses and hyperbolas from given information worksheet Warm up: Cramer s Rule Class: Review Matrices and Exponentials for Benchmark HW: Review of logs and conics Warm up: Class: Review Logarithms and Conics for Benchmark HW: study for benchmark Math Benchmark #2 12.G.GPE.3 12.N.VM.6 12.N.VM.7 12.N.VM.8 12.N.VM.9 12.N.VM A.REI.9 12.F.IF.7 12.F.IF.7e 12.F.IF.8b Friday, 11/4 Benchmark #2 English Conics Review of conics; classifying equations of conic sections Warm up: graph ellipse and hyperbola Class: Review for test worksheet 12.G.GPE.3 *NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, OCTOBER 27 FRIDAY, NOVEMBER 4 (INCLUSIVE).* 14

15 Week 15 Monday, 11/7 Conics Review of conics Warm up: graph ellipse and hyperbola Class: matching puzzle with conic equations; review for test HW: study for test Tuesday, 11/8 Conics TEST #4 over Conics Wednesday, 11/9 Essay Electives Add parabolas to next year, otherwise, this unit went well. Statistics Review of Probability Warm up: Basic Probability Review Class: Review of probability topics from Acc Geometry - Counting Principle - Multiplication vs Addition (and vs or) HW: Worksheet Review on Probability from Acc Geometry Warm up: Probability Review Class: Introduce topics on factorial, permutations, and combinations focusing on the differences of each; emphasize examples for each type of problem. Show the formula for each and the calculator steps for each. HW: pg. 649 #1-22 (solve each problem in 19-22) Thursday, 11/10 Statistics Permutations & Combinations Friday, 11/11 Statistics Permutations & Combinations Warm up: Benchmark Review Topics Class: Go over homework. Students will partner up to complete pg #23-42 (omit #40). Go over in class and have students explain steps to solve. HW: None 12.G.GPE.3 12.G.GPE.3 12.S.CP.8 12.S.CP.9 12.S.CP.9 *NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, NOVEMBER 9.* 15

16 Week 16 Monday, 11/14 Statistics 9.3 Probability Warm up: Review Binomial Probability from Acc Geom Class: Notes/Examples on probability distributions, independent, and dependent events. HW: Worksheet on different probability types Tuesday, 11/15 Statistics 9.3 Probability Warm up: Permutation & Combination problems Class: Conditional probability and drawing diagrams to help solve probability word problems (tree diagram, prob distributions) HW/CW: pg #1-8, 11-22, Wednesday, 11/16 Statistics Probability Review Warm up: Class: Group task on probability, permutations, and combinations HW: Study for Probability Test Thursday, 11/17 Statistics Test over Probability Warm up: Class: TEST #5 PROBABILITY Unit went well HW: Friday, 11/18 SAT Review SAT/ACT Practice Warm up: SAT/ACT Trivia Questions (about the test) Class: Group task/competition completing ACT & SAT practice questions HW: None THANKSGIVING BREAK! 11/21 11/25 12.S.MD.3 12.S.CP.9, 12.2.MD.3 12.S.CP.9, 12.2.MD.3 12.S.CP.9, 12.2.MD.3 16

17 Week 17 Monday, 11/28 Statistics Normal Distribution Warm up: Review of Measures of Central Tendency and Variation from Acc Geometry Class: Exploring normal distribution (bell curve) and how to find probability using a standard normal table using z-scores HW: Math III Exercises Tuesday, 11/29 Statistics Approximate Binomial Distributions Warm up: Normal Distribution Example Class: Review of homework. Determine binomial probabilities given a percent chance of an event occurring and a total number of samples. HW: Math III Exercises Wednesday, 11/30 Statistics QUIZ Warm up: Mixed Review Class: Review of homework. QUIZ over normal distribution & binomial probabilities HW: None Thursday, 12/1 Statistics Margin of Error and Types of Sampling Warm up: Matrix Review Class: Examples on biased samples & sampling types. Margin of error examples to determine MOE or number of responses HW: Math III Exercises Friday, 12/2 Statistics Expected Value Warm up: Permutations & Combinations Class: Expected Value task from DOE selections HW: None 12.S.ID.2, 12.S.ID.4 12.S.ID.2, 12.S.ID.4 12.S.ID.2, 12.S.ID.4 12.S.IC.3, 12.S.IC.4 12.S.MD.1, 12.S.MD.2 17

18 Week 18 Monday, 12/5 Statistics Review of Statistics Warm up: Class: Group task on completing review of Statistics HW: Study for Statistics test Tuesday, 12/6 Statistics Statistics Test TEST #6 over Statistics This unit went well. Don t expect any changes. Wednesday, 12/7 Thursday, 12/8 Friday, 12/9 Review for Final Exam Matrices Review for Final Exam Exponentials, Logs Review for Final Exam Conics Try to find more multiple choice practice for reviews. Warm up: Class: HW: Warm up: Class: HW: 12.S.ID.2, 12.S.ID.4, 12.S.IC.3, 12.S.IC.4, 12.S.MD.1, 12.S.MD.2 18

19 Week 19 Monday, 12/12 Review for Final Exam Statistics Tuesday, 12/13 Warm up: Class: HW: Semester Exams (Benchmark #3) 7 th Period (CCGPS, GPS, AP) Wednesday, 12/14 Semester Exams (Benchmark #3) 1 st & 2 nd Periods Thursday, 12/15 Semester Exams (Benchmark #3) 3 rd & 4 th Periods Friday, 12/16 Semester Exams (Benchmark #3) 5 th & 6 th Periods End 1 st Semester 19

20 Week 1 Tuesday, 1/3 FACULTY AND STAFF PROFESSIONAL LEARNING DAY / STUDENT HOLIDAY Wednesday, 1/4 Right triangle trig Special Triangles Warm up: Quick review p334 #1,3,6,10 Class: Special Triangles Worksheet 1: #1-25 odd. Review Pythagorean Theorem, special triangles. Text, p. 334 HW: #2-26 even Thursday, 1/5 Right triangle trig 4.2 solving right triangles using trig Friday, 1/6 Right triangle trig 4.2 solving right triangles using trig Word problems Warm up: Find the height of a building using three different trig functions Class: Right Triangle Trig Review of Sine, Cosine, Tangent and multi-step problems Worksheet 2: #1-17 odd HW: #2-18 even Warm up: Find the length of the runway Class: Word problems worksheet 3: using sine, cosine, tangent. Draw pictures described in problem and then solve. HW: finish word problems worksheet 12.F.TF.3 12.F.TF.3 12.F.TF.7 12.F.TF.3 12.F.TF.7 20

21 Week 2 Monday, 1/9 Six trig functions 4.2 Introduce cotangent, secant, and cosecant. Tuesday, 1/10 Six trig functions 4.2 solving special triangles and using trig functions Wednesday, 1/11 Six trig functions 4.2 solving special triangles and using trig functions Warm up: Statue of Liberty problem Class: Introduce cotangent, secant, and cosecant. Worksheet 4: using all 6 trig functions. #1-25 odd HW: #2-26 even Warm up: boat problem Class: Review Worksheet 5 for quiz Warm up: Students create their own word problems Class: Quiz over special triangles, 6 trig functions, word problems HW: none Unit is going very quickly and easily. Begin radian measure. Use wiki-sticks to define radian. Convert between radians and degrees. 12.F.TF.3 12.F.TF.3 12.F.TF.3 Thursday, 1/12 Right Triangle Trig Applications of right triangle trig Friday, 1/13 Right Triangle Trig Applications of right triangle trig Warm up: solve given triangle Class: Textbook p #1,3,4,5,6,8,10,13,14,15,16,19,21,22,23,25 Finish for homework Define co-terminal and reference angles. Warm up: solve special triangle word problem Class: Review homework. word problems worksheet 6: 12.F.TF.3 12.F.TF.7 12.F.TF.3 12.F.TF.7 21

22 Week 3 Monday, 1/16 MLK HOLIDAY Tuesday, 1/17 Right Triangle Trig Applications of right triangle trig Warm up: solve multiple triangle word problem Class: word problems worksheet HW: p 400 #17,34,35,39,40,95,96,97,98 Wednesday, 1/18 Right Triangle Trig Review Warm up: create a special triangle word problem Class: Chapter 4 Review p 400 #17,34,35,39,40,95,96,97,98 Can add review game maybe Bluff HW: study for test Thursday, 1/19 Right Triangle Trig TEST Warm up: Class: TEST #1 over Right Triangle Trig 12.F.TF.3 12.F.TF.7 12.F.TF.3 12.F.TF.7 12.F.TF.3 12.F.TF.7 Friday, 1/20 The Circular 4.3 Solve problems involving the trigonometric functions of real numbers and the properties of sine and cosine as periodic functions Warm up: Practice with simplifying complex fractions Class: Coterminal angles, reference angles; p347 #2-12 even HW: p347 #1-11 odd Review co-terminal and reference angles. Begin unit circle. Define (x, y) in terms of sine and cosine. Find coordinates of Unit circle. 12.F.TF.4 22

23 Week 4 Monday, 1/23 The Circular Tuesday, 1/24 Wednesday, 1/25 Essay English Thursday, 1/26 Friday, 1/27 The Circular The Circular Angles and their measures Angles and their measures 4.3 Solve problems involving trig functions of real numbers and the properties of sine and cosine as periodic functions 4.3 Solve problems involving the trig functions of real numbers and the properties of sine and cosine as periodic functions 4.3 Solve problems involving the trig functions of real numbers and the properties of sine and cosine as periodic functions 4.1 Convert between radians and degrees 4.1 Convert between radians and degrees Warm up: simplifying complex fractions Class: Review HW; finding trig functions of angles >360 or <0 ; practice #18-36 even HW: #19-35 odd Warm up: simplifying complex fractions Class: Review HW; exploration 2 exploring the unit circle; #38-52 even; have students practice dividing unit circle into fractions. HW: #37-51 odd Warm up: Draw the unit circle and label the sections Class: Review HW; apply previous lessons to solving word problems #56-60 even HW: #55-59 odd Warm up: Quick review p325 #1,3,7,132 Class: Discuss angle measurement latitude and longitude; Example 1p321; Exploration 1 construct a 1-radian angle; ask students to find conversion formulas; practice p325 #2-24 even HW: p325 #1-23 odd Warm up: Convert given problem to radians Class: Review HW; continue practice word problems p #45,48,50,52,54 HW: p #46,49,51,53 12.F.TF.4 12.F.TF.4 12.F.TF.4 12.F.TF.4 12.F.TF.4 *NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, JANUARY 25.* 23

24 Week 5 Monday, 1/30 The Circular Tuesday, 1/31 Wednesday, 2/1 Essay Social Studies The Circular The Circular Applications of the unit circle Applications of the unit circle Applications of the unit circle Warm up: simplifying complex fractions Class: Review HW: QUIZ over converting between radians and degrees; unit circle worksheet Warm up: simplifying complex fractions Class: Review HW: unit circle worksheet Warm up: p348 #73, 74 Class: Review HW: unit circle worksheet Thursday, 2/2 Circular Review Warm up: p401 #100 Class: Review HW; Review exercises p #10,14,24,30,35,36,37,40,49 HW: study for test Friday, 2/3 Circular TEST Warm up: Class: TEST #2 over the Unit Circle This unit went well. 12.F.TF.7 12.F.TF.7 12.F.TF.7 12.F.TF.7 12.F.TF.4 12.F.TF.7 *NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, FEBRUARY 1.* 24

25 Week 6 Monday, 2/6 Graphs of sine and cosine Tuesday, 2/7 Wednesday, 2/8 Thursday, 2/9 Friday, 2/10 Benchmark #1 Electives Graphs of sine and cosine Graphs of tangent, cotangent, secant, and cosecant Graphs of tangent, cotangent, secant, and cosecant Review 4.4 Generate the graphs of the sine and cosine functions and explore various transformations of those graphs 4.4 Generate the graphs of the sine and cosine functions and explore various transformations of those graphs Generate the graphs of the tangent, cotangent, secant, and cosecant functions and explore various transformations of those graphs Generate the graphs of the tangent, cotangent, secant, and cosecant functions and explore various transformations of those graphs Review for Benchmark #1 Warm up: Quick Review #1-6 Class: Exploration 1 Graphing sin t as a function of t; graph cost; example 1,2 HW: #1-6 Warm up: Quick review #7-8 Class: Review HW; Explore Frequency of sinusoid example 3, and phase shift, example 4,5; practice #8-16 even HW: #7-15 odd Warm up: Graph the tangent function (partners) Class: Review HW; graphing tangent, cotangent functions Example 1,2: #2,4,6,10,17,22 HW: #5,9,20,21,24,25,28 Warm up: Quick review #1-4 Class: Review HW; graphing secant, cosecant functions, cofunction identities Example 3,4; #1,2,8,12,18, HW: #7,11,19,23,26 Warm up: Sketch all six basic trig functions Class: Review for Benchmark #1 HW: study for benchmark 12.F.TF.4 12.F.TF.4 12.F.TF.4 12.F.TF.4 *NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, FEBRUARY 9 FRIDAY, FEBRUARY 17 (INCLUSIVE).* 25

26 Week 7 Monday, 2/13 Benchmark #1 Math Tuesday, 2/14 Benchmark #1 English Wednesday, 2/15 Graphs of tangent, cotangent, secant, and cosecant Inverse trigonometric functions Generate the graphs of the tangent, cotangent, secant, and cosecant functions and explore various transformations of those graphs 4.7 Relate the concept of inverse functions to trigonometric functions MATH BENCHMARK #1 Warm up: Quick review #5-8 Class: Review HW; solving for x in a given interval; practice #30-38 even; writing to learn #41 HW: odd, 42 Warm up: Quick review #1-4 Class: Review HW solutions, continue to practice graphing trig functions worksheet 12.F.TF.3 12.F.TF.7 12.F.TF.4 12.F.TF.4 Thursday, 2/16 Benchmark #1 Science Friday, 2/17 Benchmark #1 Social Studies Inverse trigonometric functions Graphing trig functions 4.7 Relate the concept of inverse functions to trigonometric functions Generate the graphs of the tangent, cotangent, secant, and cosecant functions and explore various transformations of those graphs Warm up: Quick review #1-4 Class: Review HW; finding exact values of inverse trig functions; practice problems #2-32 even HW: #7-27 odd Move inverse trig functions to Tuesday. Continue practice writing equations of trig functions from graphs. Warm up: Quick review #5-6 Class: Review HW; Analyzing characteristics of trig functions; finding equations of asymptotes Worksheet 12.F.BF.4 12.F.BF.4d 12.F.TF.4 12.F.TF.6 12.F.TF.7 12.F.BF.4 12.F.BF.4d 12.F.TF.4 12.F.TF.6 12.F.TF.7 *NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, FEBRUARY 9 FRIDAY, FEBRUARY 17 (INCLUSIVE).* 26

27 Week 8 Monday, 2/20 Tuesday, 2/21 Wednesday, 2/22 Thursday, 2/23 Friday, 2/24 Winter Holiday FACULTY AND STAFF PROFESSIONAL LEARNING DAY / STUDENT HOLIDAY 27

28 Week 9 Monday, 2/27 Graphing trig functions Tuesday, 2/28 Inverse trigonometric functions Review graphs of six trig functions and their reflections 4.7 Relate the concept of inverse functions to trigonometric functions Warm up: Graph the given functions Class: Graph the six trig functions and discuss their reflections. Worksheet #1-8 HW: Worksheet #9-12 Warm up: Which of the following coordinate points would be on the graph of y = 3 sec(2θ π 2 ) 1 a. (π 2, 2) b. ( 3π 4, 4) c. (π, 4) d. (π 4, 1) Class: Review graphing vertical reflections of trig functions HW; discover and discuss inverse trig functions with graphing calculators HW: Review sheet of graphing trig functions 12.F.BF.4 12.F.BF.4d 12.F.TF.4 12.F.TF.6 12.F.TF.7 Wednesday, 3/1 Essay Science Thursday, 3/2 Friday, 3/3 Review Review for test Warm up: Determine the x-values of the beginning of a period for the given functions Class: Review for test HW: study for test Graphing trig functions Fundamental Trigonometry Identities 12.F.BF.4 12.F.BF.4d 12.F.TF.4 12.F.TF.6 12.F.TF.7 TEST Class: TEST #3 12.F.BF.4 12.F.BF.4d 12.F.TF.4 12.F.TF Use the fundamental trigonometric identities to simplify expressions Warm up: simplifying complex fractions Class: Review HW; finding the Pythagorean Identities; simplifying trig expressions, example 1,2,practice #2-50 even HW: #1-49 every other odd 12.F.TF.7 12.F.TF.3 *NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, MARCH 1.* 28

29 Week 10 Monday, 3/6 Fundamental Trigonometry Identities Tuesday, 3/7 Wednesday, 3/8 Thursday, 3/9 Fundamental Trigonometry Identities Proving trigonometric identities Proving trigonometric identities 5.1 Use the fundamental trigonometric identities to simplify expressions 5.1 Use the fundamental trigonometric identities to simplify expressions 5.2 To confirm identities analytically; - identities, odd-even identities 5.2 To confirm identities analytically Warm up: simplifying complex fractions Class: Review HW; practice simplifying trig expressions HW: #51-73 odd Warm up: simplifying complex fractions Class: Review HW; more practice with identities worksheet HW: #75-80,81,82 Warm up: Quick review #1-4 Class: Review HW; discovering odd-even and co-function identities text p. 410 #5-8, 11, 17-22, 23, 28; continued practice simplifying trig expressions HW: worksheet #1-17 Warm up: Quick review #5-6 Class: Review HW; proofs of identities example 4,5, practice #24-40 even HW: #25-41 odd 12.F.TF.3 12.F.TF.4 12.F.TF.3 12.F.TF.4 12.F.TF.3 12.F.TF.4 12.F.TF.3 12.F.TF.4 Friday, 3/10 Proving trigonometric identities 5.2 To confirm identities analytically Warm up: Quick review #7-12 Class: Review HW; QUIZ; Identities in calculus example 6, practice #42-56 even HW: #43-57 odd 12.F.TF.3 12.F.TF.4 29

30 Week 11 Monday, 3/13 FACULTY AND STAFF PROFESSIONAL LEARNING DAY / STUDENT HOLIDAY Tuesday, 3/14 Proving trigonometric identities 5.2 To confirm identities analytically Warm up: Textbook p. 418 Exercises #1-4 Class: Review HW; Textbook problems proving identities HW: p. 418 #18-30 evens Wednesday, 3/15 Thursday, 3/16 Early Release Professional Learning (1 st, 2 nd, 3 rd, 5 th ) Friday, 3/17 Early Release Professional Learning (7 th, 6 th, 4 th, 5 th ) Proving trigonometric identities Sum and Difference Identities Sum and Difference Identities 5.2 To confirm identities analytically, derive the sum and difference identities 5.3 Apply the identities of sine, cosine, and tangent of a sum or difference 5.3 Apply the identities of sine, cosine, and tangent of a sum or difference Warm up: prove sum formula Class: Review HW; textbook p. 418 proving identities: #31-51 Warm up: Quick review #1-6 Class: Review HW; Sum and difference identities; practice recognizing when an expression can be simplified using the sum and difference identities; text p. 425 HW: finish textbook problems Warm up: Quick review #1-6 Class: Review HW; Sum and difference identities; practice recognizing when an expression can be simplified using the sum and difference identities; text p. 425 HW: finish textbook problems 12.F.TF.3 12.F.TF.4 12.F.TF.3 12.F.TF.4 12.F.TF.9 12.F.TF.9 30

31 Week 12 Monday, 3/20 Sum and Difference Identities Tuesday, 3/21 Multiple-Angle Identities 5.3 Apply the identities of sine, cosine, and tangent of a sum or difference 5.4 Discovering double and half-angle identities Warm up: Quick review #7-10 Class: Review HW; Ex 4 Proving reduction formulas; Tangent of a difference or sum Ex 6; practice #16-34 even HW: #17-33 odd Warm up: Simplify trigonometric complex fraction Class: Review trig identities worksheet; Double and half angle identities HW : p F.TF.9 12.F.TF.9 Wednesday, 3/22 Essay Math Thursday, 3/23 Multiple-Angle Identities 5.4 Discovering double and half-angle identities Math Performance Essay - Articles Warm up: Simplify trigonometric complex fraction Class: Review trig identities worksheet; Double and half angle identities HW : p F.TF.9 Friday, 3/24 Trig Proofs Proving trig identities Warm up: evaluate trig expressions using unit circle Class: Review homework. Review trig proofs. HW: Review for test *NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, MARCH 22.* 31

32 Week 13 Monday, 3/27 Review Review for test Warm up: p451 #62 Surveying a canyon Class: Review for test worksheet HW: study for test 12.F.TF.3 12.F.TF.4 12.F.TF.9 12.G.SRT G.SRT.1 Wednesday, 3/29 Law of Sines 5.5 Prove the Law of Sines and use the computational applications to solve a variety of problems Thursday, 3/30 Law of Sines Cosines 5.5 Law of Sines ambiguous case Warm up: Quick review #1-8 Class: Review HW; Law of Sines; Text p. 425 evens HW: #1-21 odd Warm up: Quick review #1-4 Class: Review HW; Continue Law of Sines ambiguous cases HW: #1-15 odd 12.G.SRT F.TF.3 Tuesday, 3/28 TEST Class: TEST #4 over Trig Identities 12.F.TF.3 12.F.TF.4 12.F.TF.9 12.G.SRT G.SRT G.SRT.11 Friday, 3/31 Law of Cosines Prove the Law of Cosines and use the computational applications to solve a variety of problems SPRING BREAK! Friday, 4/3 Friday, 4/7 Warm up: Quick review #1-4 Class: Review HW; Students derive the law of cosines; Review of SSS and SAS; Ex 1,2, practice #2-16 even HW: #1-15 odd 12.G.SRT G.SRT.11 32

33 Week 14 Monday, 4/10 Law of Cosines Prove the Law of Cosines and use the computational applications to solve a variety of problems Tuesday, 4/11 Law of Cosines Prove the Law of Cosines and use the computational applications to solve a variety of problems Wednesday, 4/12 Laws of Sines and Cosines Review of laws of sines and cosines Warm up: Quick review #1-4 Class: Review HW; Students derive the law of cosines; Review of SSS and SAS; Ex 1,2, practice #2-16 even HW: #1-15 odd Warm up: Quick review #7-10 Class: Review HW; applications of the Law of Cosines. Word problems worksheet Warm up: word problem Class: QUIZ Begin area of triangle, if time. HW: 12.G.SRT G.SRT G.SRT G.SRT G.SRT G.SRT.11 Thursday, 4/13 Friday, 4/15 Benchmark #2 Electives Trig word problems Review for Benchmark Area of triangle Right Triangle Trig, graphs Review Warm up: word problem Class: Finding the area of a triangle using trig. worksheet Warm up: Pick up review sheet and begin with #1-5 Class: Review for Benchmark #2 Worksheet 12.G.SRT G.SRT F.BF.4 12.F.TF.3 12.F.TF.4 12.F.TF.7 12.F.TF.9 12.G.SRT G.SRT.11 *NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, APRIL 13 FRIDAY, APRIL 21 (INCLUSIVE).* 33

34 Week 15 Monday, 4/18 Benchmark #2 English Tuesday, 4/19 Benchmark #2 Math Wednesday, 4/20 Thursday, 4/21 Benchmark #2 Social Studies Friday, 4/22 Benchmark #2 Science Review for Benchmark Vectors in the plane Vectors in the plane Vectors in the plane Identities review Warm up: Pick up review sheet and begin with #1-5 Class: Review HW; Review for Benchmark #2 Worksheet HW: study for Benchmark #2 6.1 Apply the arithmetic of vectors and use vectors to solve real world problems 6.1 Apply the arithmetic of vectors and use vectors to solve real world problems 6.1 Apply the arithmetic of vectors and use vectors to solve real world problems MATH BENCHMARK #2 SLO Warm up: p464 Quick Review #1-4 Class: Discuss definition of vector, magnitude and direction, resultant vectors; worksheet #1-20; Operations of vectors p464 #22-38 even HW:p464 #21-37 odd Warm up: Group activity p465 #53 Class: Review HW; applications of vectors ex7,8,9; practice p465 #40-52 even HW:p465 #39-51 odd Warm up: 6.2 Quick Review #1-4 Class: Review HW; combining forces worksheet 12.F.BF.4 12.F.TF.3 12.F.TF.4 12.F.TF.7 12.F.TF.9 12.G.SRT G.SRT F.BF.4 12.F.TF.3 12.F.TF.4 12.F.TF.7 12.F.TF.9 12.G.SRT G.SRT N.VM.1 12.N.VM.4b 12.N.VM.5a 12.N.VM.5b 12.N.VM.1 12.N.VM.4b 12.N.VM.5a 12.N.VM.5b 12.N.VM.1 12.N.VM.3 *NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, APRIL 13 FRIDAY, APRIL 21 (INCLUSIVE).* 34

35 Week 16 Monday, 4/24 Vectors Matrices as transformations of vectors Tuesday, 4/25 Vectors Representing system of linear equations as single matrix equation in a vector variable Wednesday, 4/26 Essay Electives Vectors Representing system of linear equations as single matrix equation in a vector variable Warm up: Quick review p539 #1-4 Class: Review HW; 7.2 p542 #57-61 HW: finish classwork Warm up: Quick review p552 #7,8 Class: Review HW; 7.3 p554 #49-54 HW: finish classwork Warm up: Quick review p552 #9 Class: Review HW; p554 #55-61 odd HW: finish classwork 12.N.VM A.REI.8 12.A.REI.8 Thursday, 4/27 Vectors Review Warm up: Quick review p552 #10 Class: Review HW; review worksheet HW: study for test Friday, 4/28 Vectors TEST Class: TEST #5 over Vectors 12.N.VM.1 12.N.VM.2 12.N.VM.3 12.N.VM.4a 12.N.VM.4b 12.N.VM.4c 12.N.VM.5a 12.N.VM.5b 12.N.VM A.REI.8 *NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, APRIL 26.* 35

36 Week 17 Monday, 5/1 Polar Coordinates 6.4 Convert points and equations from polar to rectangular coordinates and vice versa. Tuesday, 5/2 Polar coordinates 6.4 Convert points and equations from polar to rectangular coordinates and vice versa. Wednesday, 5/3 Polar coordinates 6.4 Convert points and equations from polar to rectangular coordinates and vice versa. Thursday, 5/4 Friday, 5/5 Graphs of polar curves Graphs of polar curves AP Exams Monday, 5/1 AP Chem, AP Enviro Science, and AP Psych Tuesday, 5/2 AP Spanish Language Wednesdays, 5/3 AP English Literature Thursday, 5/4 AP Government Friday, 5/5 AP US History, AP Studio Art 6.5 Graph polar equations and determine the max/min r-value and the symmetry of the graph 6.5 Graph polar equations and determine the max/min r-value and the symmetry of the graph Warm up: Quick review #1-6 Class: Discuss Cartesian plane and the polar coordinate system; ex1,2; Discuss converting Cartesian coordinates to polar coordinates and vice versa; Ex 3,4; practice #2-22 even HW: #1-21 odd Warm up: Quick review #7-8 Class: Review HW; Converting equations; ex5,6; practice #24-50 even HW: #23-49 odd Warm up: Quick review #9-10 Class: Review HW; finding distance using polar coordinates ex7; practice #52-54 even HW: #51,53 Warm up: Quick review #1-4 Class: Review HW; discuss symmetry in example graphs; List Symmetry Tests for Polar Graphs; Ex1; analyze graphs min/max ex2,3; practice #2-12 even HW: #1-11 odd Warm up: Quick review #5-6 Class: Review HW; Show slides of rose curves; analyze rose curves ex4; show graphs of Limacon curves; ex5,6; practice #14-42 even HW: #13-41 odd Milestones To be determined. 12.N.CN.4 12.N.CN.4 12.N.CN.4 12.N.CN.4 12.N.CN.4 36

37 Week 18 Monday, 5/8 De Moivre s Theorem and nth roots Tuesday, 5/9 Wednesday, 5/10 Thursday, 5/11 Friday, 5/12 De Moivre s Theorem and nth roots De Moivre s Theorem and nth roots De Moivre s Theorem and nth roots De Moivre s Theorem and nth roots AP Exams Monday, May 8 AP Biology Tuesday, May 9 AP Calculus Wednesday, May 10 AP English Language and AP Macroeconomics Thursday, May 11 AP World History and AP Statistics Friday, May 12 AP Human Geography 6.6 Represent complex numbers in the complex plane and write them in trigonometric form 6.6 Represent complex numbers in the complex plane and write them in trigonometric form 6.6 Represent complex numbers in the complex plane and write them in trigonometric form 6.6 Represent complex numbers in the complex plane and write them in trigonometric form 6.6 Represent complex numbers in the complex plane and write them in trigonometric form Warm up: Quick review #7-10 Class: Review HW; Finding conjugates of complex numbers; represent complex numbers in polar and rectangular form HW: #45-55 odd Warm up: Quick review #1-4 Class: Review HW; discuss the complex plane we used with quadratics; ex1; absolute value of a complex number in trigonometric form; ex2; practice 2-18 even HW: #1-17 odd Warm up: Quick review #5-8 Class: Review HW; multiplication and division of complex numbers, ex3,4; DeMoivre s Theorem ex5,6; practice #20-38 even HW: #19-37 odd Warm up: Quick review #9-10 Class: Review HW; Finding the roots of complex numbers, ex7,8,9; practice #40-56 even; distance between complex numbers, midpoint of segment; worksheet HW: #39-55 odd Warm up: convert polar coordinates to rectangular Class: Review HW; practice worksheet Milestones To be determined. 12.N.CN.3 12.N.CN.4 12.N.CN.5 12.N.CN.5 12.N.CN.6 12.N.CN.6 37

38 Week 19 Monday, 5/15 Polar system, complex numbers Tuesday, 5/16 Polar system, complex numbers REVIEW TEST Wednesday, 5/17 Review Review of vectors and polar systems Thursday, 5/18 Review Review of right triangle trig and special triangles Warm up: find midpoint of segment Class: Review HW; review worksheet HW: study for test Class: TEST #6 over Polar system, complex numbers Warm up: Find resultant vector Class: Review vectors, polar system, complex numbers worksheet Warm up: Solve given triangles Class: Review HW; review right triangle trig, special triangles, trig worksheet Friday, 5/19 Review Review of trig Warm up: Draw unit circle Class: Review HW; review trig worksheet 12.N.CN.3 12.N.CN.4 12.N.CN.5 12.N.CN.6 38

39 Review Review of trig Warm up: Draw unit circle Class: Review HW; review trig worksheet Tuesday, 5/23 Semester Exams (Benchmark #3 7 th ) Wednesday, 5/24 Semester Exams (Benchmark #3 1 st & 2 nd ) Thursday, 5/25 Semester Exams (Benchmark #3 3 rd & 4 th ) Friday, 5/26 Semester Exams (Benchmark #3 5 th & 6 th ) 39