2015-2016 Calendar First Grading Period August 24 25 Unit 1 Functions and Their Properties, Compositions, and Inverses 1.2 Functions and Their Properties Domain and Range Continuity Increasing/Decreasing Local Extrema Min/Max Symmetry Odd/Even End behavior / Limit Notation 26 27 28 1.2 Functions and Their Properties Domain and Range Continuity Increasing/Decreasing Local Extrema Min/Max Symmetry Odd/Even End behavior / Limit Notation 1.2 Functions and Their Properties Domain and Range Continuity Increasing/Decreasing Local Extrema Min/Max Symmetry Odd/Even End behavior / Limit Notation 1.3 Twelve Basic Functions Analyze Functions Graphically Boundedness Piecewise Functions P.2 I,D,J,L P.2 I,D,J,L P.2 I,F 31 P.2 I,D,J,L September 1 2 3 4 1.3 Twelve Basic Functions Analyze Functions Graphically Boundedness Piecewise Functions 1.4 Building Functions from Functions Composition of Functions Relations and Implicitly Defined Functions 1.4 Building Functions from Functions Composition of Functions Relations and Implicitly Defined Functions 1.5 Inverses Inverse Relations and Inverse Functions 1.5 Inverses Inverse Relations and Inverse Functions P.2 E P.2 E P.2 I,F 7 P.2 A,B,C 8 P.2 A,B,C 9 10 11 Unit 1 Unit 1 Unit 1 Unit 1 REVIEW MC Formative Test/Daily Continued Learning Summative Test 15 16 17 18 1.6 Transformations Vertical Horizontal Reflections Combining transformations Absolute Value Functions 2.2 Power Functions Analyze features Graph Model Limit Notation for End Behavior 2.2 Power Functions Analyze features Graph Model Limit Notation for End Behavior Unit 2 P.2 G P.2 F,J,N Review 22 23 P.2 F,J,N 24 Unit 3 Analyzing and Solving Polynomials Student/Staff Holiday 14 Unit 2 Transformations and Power Functions 1.6 Transformations Vertical Horizontal Reflections Combining transformations Absolute Value Functions P.2 G 21 Unit 2 Unit 2 Unit 2 Continued Learning Continued Learning Summative Test 2.3 Higher Degree Polynomials Graphs End behavior / Limit Notation Number of Roots based on Degree Zeros Odd/Even Multiplicity Intermediate Value Theorem Modeling 28 29 30 P.2 G,J,I P.5 J October 1 2.3 Higher Degree Polynomials Graphs End behavior / Limit Notation Number of Roots based on Degree Zeros Odd/Even Multiplicity Intermediate Value Theorem Modeling 2.4 Real Zeros Long Division Remainder Theorem Factor Theorem Synthetic Division Rational Zero Theorem Upper/Lower Bounds End behavior / Limit Notation 2.4 Real Zeros Long Division Remainder Theorem Factor Theorem Synthetic Division Rational Zero Theorem Upper/Lower Bounds End behavior / Limit Notation 2.4 Real Zeros Long Division Remainder Theorem Factor Theorem Synthetic Division Rational Zero Theorem Upper/Lower Bounds End behavior / Limit Notation P.2 G,J,I P.5 J P.2 G,J,I P.5 J P.2 G,J,I P.5 J P.2 G,J,I P.5 J MC Formative Test/Daily 25 2.3 Higher Degree Polynomials Graphs End behavior / Limit Notation Number of Roots based on Degree Zeros Odd/Even Multiplicity Intermediate Value Theorem Modeling P.2 G,J,I P.5 J 2 2.5 Complex Zeros Fundamental Theorem of Algebra Linear Factorization Theorem Complex Conjugate Zeros Factoring with Real Number Coefficients Irreducible Over the Reals End behavior / Limit Notation P.2 G,J,I P.5 J End of Six Weeks 2015-2016 Calendar Second Grading Period October 5 6 7 8 9 2.5 Complex Zeros Fundamental Theorem of Algebra Linear Factorization Theorem Complex Conjugate Zeros Factoring with Real Number Coefficients Irreducible Over the Reals End behavior / Limit Notation Unit 3 Unit 3 Unit 3 Unit 3 REVIEW MC Formative Test/Daily Continued Learning Summative Test 13 14 15 16 2.6 Graphs of Rational Functions Domain Graph Transformations Vertical Asymptotes Horizontal Asymptotes Oblique Asymptotes Left & Right side behavior End behavior Discontinuities End behavior / Limit Notation Limit Notation for Behavior around Discontinuities Analyze Graphs 2.7 Solving Rational Equations in One Variable Solve by Clearing Fractions Eliminating Extraneous Solutions Applications - Acid Mixtures, Min Perimeter, Designing a Juice Can 2.7 Solving Rational Equations in One Variable Solve by Clearing Fractions Eliminating Extraneous Solutions Applications - Acid Mixtures, Min Perimeter, Designing a Juice Can P.2 F,G,J,K,M P.2 F,G,J,K,M P.2 G,J,I P.5 J 12 Student Holiday Unit 4 Analyzing and Solving Rational Functions and Solving Inequalities 2.6 Graphs of Rational Functions Domain Graph Transformations Vertical Asymptotes Horizontal Asymptotes Oblique Asymptotes Left & Right side behavior End behavior Discontinuities End behavior / Limit Notation Limit Notation for Behavior around Discontinuities Analyze Graphs P.2 F,G,J,K,M P.2 F,G,J,K,M 20 21 22 23 2.8 Solving Inequalities in One Variable Determine where factored Poly is Zero, Positive and Negative Sign Chart Solve Rational Inequality by Combining Fractions Other Inequalities Re-visit Box Re-visit Juice Can 2.8 Solving Inequalities in One Variable Determine where factored Poly is Zero, Positive and Negative Sign Chart Solve Rational Inequality by Combining Fractions Other Inequalities Re-visit Box Re-visit Juice Can Unit 4 Unit 4 REVIEW MC Formative Test/Daily 26 P.2 K,N P.5 L,K 27 P.2 K,N P.5 L,K 28 29 30 Unit 4 Unit 4 Unit 4 Summative Test Cumulative Review Chapter 1 -2 Continued Learning Continued Learning Cumulative Review Chapter 1 -2 Continued Learning Continued Learning 4 5 6 3.2 Exponential Modeling Growth and Decay Half-life Population Growth End behavior / Limit Notation Logistic Modeling 3.2 Exponential Modeling Growth and Decay Half-life Population Growth End behavior / Limit Notation Logistic Modeling P.2 F,G,I,J P.2 F,G,I,J 3.3 Logarithmic Functions and Their Graphs Connect Exponentials to Logarithms Graph w/o Calculator Explore w/Calculator Evaluate with/without Calculator Natural Logarithms Transformations 19 2.7 Solving Rational Equations in One Variable Solve by Clearing Fractions Eliminating Extraneous Solutions Applications - Acid Mixtures, Min Perimeter, Designing a Juice Can P.2 F,G,J,K,M November 2 Cumulative TEST Chapter 1 -2 CCA 3 Unit 5 Exponential and Logarithmic Functions 3.1 Exponential and Logistic Functions Graph Calculator Graph w/o Calculator Determine Exponential Function from table Transformations Properties End behavior / Limit Notation P.2 F,G,I,J P.2 F,G,I,J P.5 G 2015-2016 Calendar Third Grading Period November 9 10 11 12 13 3.3 Logarithmic Functions and Their Graphs Connect Exponentials to Logarithms Graph w/o Calculator Explore w/Calculator Evaluate with/without Calculator Natural Logarithms Transformations 3.4 Properties of Logarithms Expand Condense Change of Base Graphs with base “b” Limit Notation 3.4 Properties of Logarithms Expand Condense Change of Base Graphs with base “b” Limit Notation Unit 5 Unit 5 REVIEW MC Formative Test/Daily P.2 F,G,I,J P.5 G P.2 F,G,I,J P.5 G P.2 F,G,I,J P.5 G 16 17 18 19 20 Unit 5 Unit 5 Unit 5 Continued Learning Continued Learning Summative Test Unit 6 Modeling and Solving Exponential and Logarithmic Equations 3.5 Equation Solving and Modeling Solve Exponentials Solve Logarithms Newton’s Law of Cooling 3.5 Equation Solving and Modeling Solve Exponentials Solve Logarithms Newton’s Law of Cooling P.2 N P.5 H,I 23 24 25 P.2 N P.5 H,I 26 27 Staff Development/ Student Holiday Staff Development/ Student Holiday Thanksgiving Break Thanksgiving Break Thanksgiving Break 30 December 1 2 3 4 3.5 Equation Solving and Modeling Solve Exponentials Solve Logarithms Newton’s Law of Cooling 3.6 Mathematics of Finance Compound Interest Compound Interest Continuously Annual percentage Yield Annuities Present Value Unit 6 Unit 6 REVIEW MC Formative Test/Daily P.2 N P.5 H,I 3.6 Mathematics of Finance Compound Interest Compound Interest Continuously Annual percentage Yield Annuities Present Value 7 P.2 N P.5 H,I 8 P.2 N P.5 H,I 9 10 11 Unit 6 Unit 6 Unit 6 Review for Finals Review for Finals Continued Learning Continued Learning Summative Test Assessment Window – Algebra I Biology U.S. History English I STAAR 14 15 English II STAAR 16 17 18 End of the 3rd Six Weeks 2015-2016 Calendar Fourth Grading Period January 4 5 6 Radian Activity Unit 7 Angles and Their Measures Student Holiday Staff Development 4.1 Equation Solving and Modeling Degrees / Radians Arc Length Angular and Linear Motion DMS P.4 C,E 12 4.3 Circular Functions Initial / Terminal Side Angles – Positive, Negative, Coterminal, Reference, Quadrantal Unit Circle Period of a Function P.4 A,B,C,D 13 4.3 Circular Functions Initial / Terminal Side Angles – Positive, Negative, Coterminal, Reference, Quadrantal Unit Circle Period of a Function 18 P.2 P P.4 A,C,E 19 P.2 P P.4 A,C,E 20 Unit 7 Unit 7 Continued Learning Summative Test 11 4.2 Trigonometric Functions of Acute Angles 6 Trigonometric Functions Special Angles 30/45/60 Applications Holiday 7 4.1 Equation Solving and Modeling Degrees / Radians Arc Length Angular and Linear Motion DMS 8 4.2 Trigonometric Functions of Acute Angles 6 Trigonometric Functions Special Angles 30/45/60 Applications P.4 C,E P.4 A,B,C,D 14 15 Unit 7 Unit 7 REVIEW MC Formative Test/Daily 21 22 4.4 Graphs of Sine and Cosine Sinusoids Transformations Amplitude Frequency Phase Shift Unit 8 Trigonometric Graphs, Inverses, and Problem Solving 4.4 Graphs of Sine and Cosine Sinusoids Transformations Amplitude Frequency Phase Shift P.2 G,I,O 27 4.7 Inverse Trig Functions Inverse (arc) sine, cosine and tangent functions Analyze w/o calculator Describe properties End behavior / Limit Notation P.2 G,I,O 28 4.7 Inverse Trig Functions Inverse (arc) sine, cosine and tangent functions Analyze w/o calculator Describe properties End behavior / Limit Notation P.2 H,I P.2 H,I P.2 G,I,O 2 4.8 Problem Solving w/ Trig Angle of Elevation Angle of Depression Linear and Angular Motion Bearings Sinusoidal Behavior Simple Harmonic Motion 3 4.8 Problem Solving w/ Trig Angle of Elevation Angle of Depression Linear and Angular Motion Bearings Sinusoidal Behavior Simple Harmonic Motion 4 5 Unit 8 Unit 8 REVIEW MC Formative Test/Daily P.2 O P.4 D,F P.5 N 8 P.2 O P.4 D,F P.5 N 9 P.2 O P.4 D,F P.5 N 10 11 Unit 8 Unit 8 Unit 8 Unit 9 Trig Identities Continued Learning Continued Learning Summative Test 5.1 Fundamental Identities Identities - Trig, Pythagorean, Co-functions, Odd-Even Solve/Simplify Trig Equations 12 5.1 Fundamental Identities Identities – Trig, Pythagorean, Co-functions, Odd-Even Solve/Simplify Trig Equations 25 4.5 Graphs of Tangent, Cotangent, Secant, Cosecant Domain / Range Increasing / Decreasing Inflection Asymptotes End behavior / Limit Notation 26 4.5 Graphs of Tangent, Cotangent, Secant, Cosecant Domain / Range Increasing / Decreasing Inflection Asymptotes End behavior / Limit Notation P.2 G,I,O February 1 4.8 Problem Solving w/ Trig Angle of Elevation Angle of Depression Linear and Angular Motion Bearings Sinusoidal Behavior Simple Harmonic Motion 15 Staff Development/ Student Holiday 16 5.2 Proving Trig Identities Prove Trig identities Identities in Calculus 17 5.2 Proving Trig Identities Prove Trig identities Identities in Calculus P.5 M,N 18 5.2 Proving Trig Identities Prove Trig identities Identities in Calculus P.5 M P.5 M P.5 M 29 4.4, 4.5, 4.7 All Trig Graphs and Inverses REVIEW P.5 M,N 19 5.3 Sum & Diff Identities Cosine of Sum & Diff Sine of Sum & Diff Reduction Formula Tangent Reduction Formula P.5 M,N End of the 4th Six Weeks 2015-2016 Calendar Fifth Grading Period February 22 5.3 Sum & Diff Identities Cosine of Sum & Diff Sine of Sum & Diff Reduction Formula Tangent Reduction Formula 23 5.4 Multiple-Angle Identities Prove Double-Angle Identities Power-Reducing Identities Half-Angle Identities 24 5.4 Multiple-Angle Identities Prove Double-Angle Identities Power-Reducing Identities Half-Angle Identities P.5 M,N 29 P.5 M,N March 1 P.5 M,N 2 Unit 9 Unit 9 Unit 9 Continued Learning Continued Learning Summative Test 25 26 Unit 9 Unit 9 REVIEW MC Formative Test/Daily 3 4 5.5 Law of Sines Solving Given AAS Solving Given ASA Ambiguous Case (SSA) Unit 10 Law of Sines and Cosines 5.5 Law of Sines Solving Given AAS Solving Given ASA Ambiguous Case (SSA) P.4 G P.5 N 8 5.6 Law of Cosines Solving Given SAS Solving Given SSS Ambiguous Case Triangle Area Heron’s Formula 9 5.6 Law of Cosines Solving Given SAS Solving Given SSS Ambiguous Case Triangle Area Heron’s Formula P.4 G P.5 N 10 5.6 Law of Cosines Solving Given SAS Solving Given SSS Ambiguous Case Triangle Area Heron’s Formula 14 P.4 H P.5 N 15 P.4 H P.5 N 16 P.4 H P.5 N 17 7 5.5 Law of Sines Solving Given AAS Solving Given ASA Ambiguous Case (SSA) Spring Break Spring Break Spring Break 22 23 24 Unit 10 Unit 10 Unit 10 Unit 10 REVIEW MC Formative Test/Daily Continued Learning Summative Test 28 29 30 31 Cumulative TEST Chapter 4 - 5 Unit 11 Vectors, Dot Product, Parametric, and Polar Coordinates Cumulative Review Chapter 4 - 5 Continued Learning Continued Learning 4 6.1 Vectors in the Plane Magnitude Component Form Tail-to-Head Parallelogram Rep Scalar Unit Vector Linear Combo Direction Angle Real Life Applications CCA 5 6.2 Dot Product of Vectors Dot Product of 2 Vectors Angle Between 2 Vectors Orthogonal Vectors Projecting 1 Vector onto Another Vector 6 6.2 Dot Product of Vectors Dot Product of 2 Vectors Angle Between 2 Vectors Orthogonal Vectors Projecting 1 Vector onto Another Vector P.4 K P.4 K 11 5.5 / 5.6 Law of Sines/Cosines and Bearing Real Life Problems P.4 G,H P.5 N 18 Spring Break 21 Cumulative Review Chapter 4 - 5 P.4 G P.5 N 6.1 Vectors in the Plane Magnitude Component Form Tail-to-Head Parallelogram Rep Scalar Unit Vector Linear Combo Direction Angle Real Life Aps Spring Break 25 Easter Holiday April 1 6.1 Vectors in the Plane Magnitude Component Form Tail-to-Head Parallelogram Rep Scalar Unit Vector Linear Combo Direction Angle Real Life Aps P.4 C,I,J P.4 C,I,J 7 1.5 / 6.3 Parametric Equations & Motion Graphing Parametric Eq Eliminating the Parameter Finding Parametric Eq for a Line 8 1.5 / 6.3 Parametric Equations & Motion Graphing Parametric Eq Eliminating the Parameter Finding Parametric Eq for a Line P.3 A,B,C P.3 A,B,C P.4 C,I,J 11 12 13 14 15 6.4 Polar Coordinates Polar Axis Polar coordinates Directed Distance Convert Polar to Rectangular Convert Rectangular to Polar Finding Distance using Polar Coordinates 6.4 Polar Coordinates Polar Axis Polar coordinates Directed Distance Convert Polar to Rectangular Convert Rectangular to Polar Finding Distance using Polar Coordinates 6.4 Polar Coordinates Polar Axis Polar coordinates Directed Distance Convert Polar to Rectangular Convert Rectangular to Polar Finding Distance using Polar Coordinates Unit 11 Unit 11 REVIEW MC Formative Test/Daily P.3 D,E P.3 D,E P.3 D,E End of 5th Six Weeks 2015-2016 Calendar Sixth Grading Period April 18 19 20 21 Unit 11 Unit 11 Unit 11 Unit 12 Conics – Ellipses and Hyperbolas Continued Learning Continued Learning Summative Test 8.1 / 8.2 Ellipses General Form Standard Form Center Foci Vertices Axes Eccentricity 22 8.1 / 8.2 Ellipses General Form Standard Form Center Foci Vertices Axes Eccentricity P.3 F,G,H P.3 F,G,H 28 29 Unit 12 Unit 12 Review MC Formative Test/Daily 5 6 US History AP Testing AP Testing AP Testing 11 9.3 Sequences Define a Sequence Explicitly Define Recursively Find Limits of Sequences Define Arithmetic Define Geometric 12 9.3 Sequences Define a Sequence Explicitly Define Recursively Find Limits of Sequences Define Arithmetic Define Geometric 13 9.4 Series Summation / Sigma Notation Finite Sequence Infinite Series P.5 B AP Testing P.5 B AP Testing 17 18 19 P.5 B,C,D,E AP Testing 20 Unit 13 Unit 13 Unit 13 Unit 13 REVIEW MC Formative Test/Daily Continued Learning Summative Test P.5 B,C,D,E AP Testing 23 24 25 26 27 Final Exam Review Final Exam Review Final Exam Review Final Exams Final Exams 30 31 June 1 2 3 Final Exams Final Exams 25 8.1 / 8.3 Hyperbolas General Form Standard Form Center Foci Vertices Axes Eccentricity 26 8.1 / 8.3 Hyperbolas General Form Standard Form Center Foci Vertices Axes Eccentricity 27 8.1 / 8.3 Hyperbolas General Form Standard Form Center Foci Vertices Axes Eccentricity P.3 F,G,I May 2 P.3 F,G,I 3 P.3 F,G,I 4 ALG I EOC AP Testing Bio EOC AP Testing 9 10 9.2 Binomial Theorem Expand a Binomial Using or Pascal’s Triangle n Cr Unit 13 Binomial Theorem, Sequences and Series 9.2 Binomial Theorem Expand a Binomial Using or Pascal’s Triangle n Cr P.5 F AP Testing 16 9.4 Series Summation / Sigma Notation Finite Sequence Infinite Series P.5 F AP Testing nth Partial Sum Limits of Partial Sums Diverge / Convergence nth Partial Sum Limits of Partial Sums Diverge / Convergence Student/ Staff Holiday Last Day of School Professional Day