Currituck County Schools



Common Core Math II- Quick Map & Pacing Guide Quick Map:Unit 1- Geometry… (28 days)Translations, Reflections, Rotations & Dilations (Geogebra Software), Similarity & Congruence, Triangles (+Proofs)- sum = 180, isosceles triangles, & midsegments, Circles inside the coordinate plane, Surface Area, Total Area, & Volume of three dimensional shapes.Unit 2- Trig. Functions… (10 days)Sin, Cos, Tan, (Co-functions), Pythagorean Theorem, Angle of Elevation, Angle of Depression, Law of Sines & Cosines, Simple Graphing w/ trig. ratios & translating, Amplitude, & Midline, Distance formula.Unit 3- Quadratic Functions… (10 days)Modeling Data & create linear & quadratic inverses, Vertex (Min, Max, Maxima, & Minima), Axis of Symmetry, y-intercept, Solve using roots, Solve using zeros, Domain & Range, Translating (w/Stretching), Factoring, Solving, Graphing/Sketching, Quadratic Formula (Discriminant) & using complex numbersUnit 4- Exponential Functions… (12 days)Modeling Data & create inverses (introduce logs), Properties of Exponents, Rational Exponents, Simplifying Polynomial & Complex number operations (+, -, x, /), Graphing Intercepts, Domain & Range, Increasing & Decreasing, Asymptotes, Extraneous Solutions, End Behavior, Growth & Decay, Graphing/Sketching w/translation.Unit 5- Advanced Functions… (14 days)Modeling Data & create rational inverses, Different types of Variation (Direct, Inverse, Jointly), Extraneous Solutions, Rational Operations (+, -, x, /) using variation functions (ex: f(g(x))), Asymptotes, Holes, & Graphing/Sketching, Solve Absolute Value functions = 0, step & piecewise functions, Explicit & Recursive forms.Unit 6- Probability… (11 days)Sample Space, List, Chart, Tree Diagrams, Tables, Unions, Intersections, Compute Simple Probabilities & Compound Probabilities (Permutations & Combinations), Conditional Probabilities, Two-Way Tables, Theoretical vs. Experimental Probability, Mutually Exclusive vs. Not Mutually Exclusive, Dependent vs. mon Core Math II- Quick Map & Pacing Guide Unit 1- Geometry… (28 days) Lesson: Notes:Day 1Properties of 2D ShapesDay 2Translations & DilationsDay 3Reflections & RotationsDay 4QuizDay 5Day A- Parallel lines w/properties corresponding angles, alternate interior angles, & same side interior anglesDay 6Day B- Parallel lines w/properties corresponding angles, alternate interior angles, & same side interior anglesDay 7Sum of the angles of trianglesDay 8QuizDay 9Angles & Sides of a Triangle with Congruent FiguresDay 10Ways to Prove Triangles Congruent- SSS, SAS, ASADay 11Proofs: Proving Triangles CongruentDay 12Other Methods of Proving Triangles Congruent- HL & AASDay 13Proofs: Proving Triangles CongruentDay 14QuizDay 15Proofs: Proving Triangles Similar- AA, SSS, & ASADay 16The Isosceles Triangle Theorem & MidsegmentsDay 17Medians, Altitudes, & Perpendicular BisectorsDay 18ReviewDay 19TESTDay 20Area of 2D Shapes(Square, Rectangle, Triangle, Parallelogram, Rhombus, Trapezoid, & Circle.)Day 21Surface Area of 3D Shapes (Prisms, Pyramids, Cones, Cylinder)Day 22Total Area of 3D Shapes (Prisms, Pyramids, Cones, Cylinder, Sphere)Day 23Volume (Prisms, Pyramids, Cones, Cylinder, & Sphere)Day 24QuizDay 25Creating the equation of a circle given center & radiusDay 26Translations & Dilations of Circles on a coordinate planeDay 27ReviewDay 28TESTUnit 2- Trig. Functions… (10 days) Lesson: Notes:Day 1Trig. Ratios Day A- Identify sides opposite & adjacent in a right triangle; write trig. ratios (Co-functions).Day 2Trig. Ratios Day B- Find unknown sides & angles in right triangles using trig. ratios (Co-functions).Day 3Trig. Ratios Day C- Apply trig. ratios to solve real world problems.Day 4Trig. Ratios Day D- Use the angle of elevation & depression to draw & illustrate real world trig. ratio problems.Day 5QuizDay 6Using Pythagorean Theorem & Distance to solve real world problemsDay 7Simple graphs w/trig. ratios & translating, Amplitude, & Midline.Day 8Law of Sines & CosinesDay 9ReviewDay 10TESTUnit 3- Quadratic Functions… (10 days) Lesson: Notes:Day 1*Lab graphing quadratic functionsModeling Data w/Quadratic Functions- Domain & Range, Graphs translating (w/Stretching).Day 2Properties of Parabolas (Vertex, axis of symmetry, etc)Day 3Translating Parabolas (Shifts)Day 4QuizDay 5Factoring Quadratic ExpressionsDay 6Solving Quadratic Equations- (Graphing, factoring, taking square roots, zeros, etc.)Day 7Creating inversesDay 8Quadratic Formula & the discriminant (+ complex #s)Day 9ReviewDay 10TESTUnit 4- Exponential Functions… (12 days) Lesson: Notes:Day 1*Lab graphing exponential functionsGraphs of Exponential Functions Day A- Investigation with Shifts & Base Change.Day 2Graphs of Exponential Functions Day B- Intercepts, Domain, Range, Increasing/Decreasing, Asymptotes (Extraneous Solutions), End Behavior.Day 3*M&M labApplying Exponential Functions Day A- Solve real world problems (growth/decay, monetary, population, ? life, compound interest, etc.)Day 4*Comparing Growths LabApplying Exponential Functions Day B- Solve real world problems (growth/decay, monetary, population, ? life, compound interest, etc.)Day 5Simplifying Polynomial & Complex Number Operations (+, -, x, /)Day 6Rational ExponentsDay 7QuizDay 8*Connections LabLogarithms vs. Exponential- making connections (inverses).Day 9*Coach & Be Coached LabUse common logs to solve exponential equations- Day A, including real world problems.Day 10*Lab: What’s your function?Use common logs to solve exponential equations- Day B, including real world problems.Day 11ReviewDay 12TESTUnit 5- Advanced Functions… (14 days) Lesson: Notes:Day 1Solving Absolute Value Equations = 0Day 2Composite Functions f(g(x))Day 3Direct, Inverse, & Joint Variation & “Excluded Values”Day 4Use factoring to identify “Excluded Values”Day 5(+, -, x, /) Rationals & identify “Excluded Values”Day 6QuizDay 7“Excluded Values” Day A- investigate asymptotes & holes.Day 8“Excluded Values” Day B- investigate asymptotes & holes.Day 9QuizDay 10Step & Piecewise FunctionsDay 11Creating & Applying Explicit & Recursive forms Day ADay 12Creating & Applying Explicit & Recursive forms Day BDay 13ReviewDay 14TESTUnit 6- Probability… (11 days) Lesson: Notes:Day 1Understand the law of large numbers- use random number tables, manipulatives, & technology to collect data.Day 2Construct a sample space for an experiment & represent it as a list, chart, picture, &/or tree diagram.Day 3Compute simple, compound, & conditional probabilities.Day 4Compute probability using two-way tables.Day 5QuizDay 6Theoretical vs. Experimental ProbabilityDay 7Use the concept of complementary sets to compute probabilities.Day 8Mutually Exclusive vs. Not Mutually ExclusiveDay 9Experiment w/ Mutually Exclusive vs. Not Mutually ExclusiveDay 10ReviewDay 11TESTExam Review: Measures of Student Learning… (5 days)Day 1Day 2Day 3Day 4Day 5 ................
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