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 numbers
Unit 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. Independent.
Common Core Math II- Quick Map & Pacing Guide
Unit 1- Geometry… (28 days)
Lesson: Notes:
Day 1 / Properties of 2D ShapesDay 2 / Translations & Dilations
Day 3 / Reflections & Rotations
Day 4 / Quiz
Day 5 / Day A- Parallel lines w/properties corresponding angles, alternate interior angles, & same side interior angles
Day 6 / Day B- Parallel lines w/properties corresponding angles, alternate interior angles, & same side interior angles
Day 7 / Sum of the angles of triangles
Day 8 / Quiz
Day 9 / Angles & Sides of a Triangle with Congruent Figures
Day 10 / Ways to Prove Triangles Congruent- SSS, SAS, ASA
Day 11 / Proofs: Proving Triangles Congruent
Day 12 / Other Methods of Proving Triangles Congruent- HL & AAS
Day 13 / Proofs: Proving Triangles Congruent
Day 14 / Quiz
Day 15 / Proofs: Proving Triangles Similar- AA, SSS, & ASA
Day 16 / The Isosceles Triangle Theorem & Midsegments
Day 17 / Medians, Altitudes, & Perpendicular Bisectors
Day 18 / Review
Day 19 / TEST
Day 20 / Area of 2D Shapes
(Square, Rectangle, Triangle, Parallelogram, Rhombus, Trapezoid, & Circle.)
Day 21 / Surface Area of 3D Shapes (Prisms, Pyramids, Cones, Cylinder)
Day 22 / Total Area of 3D Shapes (Prisms, Pyramids, Cones, Cylinder, Sphere)
Day 23 / Volume (Prisms, Pyramids, Cones, Cylinder, & Sphere)
Day 24 / Quiz
Day 25 / Creating the equation of a circle given center & radius
Day 26 / Translations & Dilations of Circles on a coordinate plane
Day 27 / Review
Day 28 / TEST
Unit 2- Trig. Functions… (10 days)
Lesson: Notes:
Day 1 / Trig. Ratios Day A- Identify sides opposite & adjacent in a right triangle; write trig. ratios (Co-functions).Day 2 / Trig. Ratios Day B- Find unknown sides & angles in right triangles using trig. ratios (Co-functions).
Day 3 / Trig. Ratios Day C- Apply trig. ratios to solve real world problems.
Day 4 / Trig. Ratios Day D- Use the angle of elevation & depression to draw & illustrate real world trig. ratio problems.
Day 5 / Quiz
Day 6 / Using Pythagorean Theorem & Distance to solve real world problems
Day 7 / Simple graphs w/trig. ratios & translating, Amplitude, & Midline.
Day 8 / Law of Sines & Cosines
Day 9 / Review
Day 10 / TEST
Unit 3- Quadratic Functions… (10 days)
Lesson: Notes:
Day 1*Lab graphing quadratic functions / Modeling Data w/Quadratic Functions- Domain & Range, Graphs translating (w/Stretching).
Day 2 / Properties of Parabolas (Vertex, axis of symmetry, etc)
Day 3 / Translating Parabolas (Shifts)
Day 4 / Quiz
Day 5 / Factoring Quadratic Expressions
Day 6 / Solving Quadratic Equations- (Graphing, factoring, taking square roots, zeros, etc.)
Day 7 / Creating inverses
Day 8 / Quadratic Formula & the discriminant (+ complex #s)
Day 9 / Review
Day 10 / TEST
Unit 4- Exponential Functions… (12 days)
Lesson: Notes:
Day 1*Lab graphing exponential functions / Graphs of Exponential Functions Day A- Investigation with Shifts & Base Change.
Day 2 / Graphs of Exponential Functions Day B- Intercepts, Domain, Range, Increasing/Decreasing, Asymptotes (Extraneous Solutions), End Behavior.
Day 3
*M&M lab / Applying Exponential Functions Day A- Solve real world problems (growth/decay, monetary, population, ½ life, compound interest, etc.)
Day 4
*Comparing Growths Lab / Applying Exponential Functions Day B- Solve real world problems (growth/decay, monetary, population, ½ life, compound interest, etc.)
Day 5 / Simplifying Polynomial & Complex Number Operations (+, -, x, /)
Day 6 / Rational Exponents
Day 7 / Quiz
Day 8
*Connections Lab / Logarithms vs. Exponential- making connections (inverses).
Day 9
*Coach & Be Coached Lab / Use 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 11 / Review
Day 12 / TEST
Unit 5- Advanced Functions… (14 days)
Lesson: Notes:
Day 1 / Solving Absolute Value Equations = 0Day 2 / Composite Functions f(g(x))
Day 3 / Direct, Inverse, & Joint Variation & “Excluded Values”
Day 4 / Use factoring to identify “Excluded Values”
Day 5 / (+, -, x, /) Rationals & identify “Excluded Values”
Day 6 / Quiz
Day 7 / “Excluded Values” Day A- investigate asymptotes & holes.
Day 8 / “Excluded Values” Day B- investigate asymptotes & holes.
Day 9 / Quiz
Day 10 / Step & Piecewise Functions
Day 11 / Creating & Applying Explicit & Recursive forms Day A
Day 12 / Creating & Applying Explicit & Recursive forms Day B
Day 13 / Review
Day 14 / TEST
Unit 6- Probability… (11 days)
Lesson: Notes:
Day 1 / Understand the law of large numbers- use random number tables, manipulatives, & technology to collect data.Day 2 / Construct a sample space for an experiment & represent it as a list, chart, picture, &/or tree diagram.
Day 3 / Compute simple, compound, & conditional probabilities.
Day 4 / Compute probability using two-way tables.
Day 5 / Quiz
Day 6 / Theoretical vs. Experimental Probability
Day 7 / Use the concept of complementary sets to compute probabilities.
Day 8 / Mutually Exclusive vs. Not Mutually Exclusive
Day 9 / Experiment w/ Mutually Exclusive vs. Not Mutually Exclusive
Day 10 / Review
Day 11 / TEST
Exam Review: Measures of Student Learning… (5 days)
Day 1Day 2
Day 3
Day 4
Day 5