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