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Common Core Geometry
FIRST SEMESTER
Proving Lines and Angles Theorems (GEO #9) – 10 days
Language of Geometry and Algebraic
Intro conditional statements project
properties
first day of school – Due following
week!
Midpoint, Segment bisector, Segment
Addition
Review Angle Vocabulary and Types of
Angles/Angle Addition
Quiz + Angles created by parallel lines
Angles and properties created by
parallel lines and perpendicular lines
Conditional Statements and Proofs
intro (vertical angles, segment/angle
addition)
Proofs – Proving if 2 || lines…, then
alt. int. and corresp angles are
congruent
Proofs – Proving segment joined by
midpoints of triangle is parallel to
base
Proofs – Proving points on a
perpendicular bisector of line are
equidistant to endpoints
Test
Intro parallel lines city project Due day
of test
1 day
Conditional Statements
Advertisement mini
project
1 day
1 day
1 day
1 day
Parallel Lines City Project
1 day
1 day
1 day
1 day
1 day
Proving Triangle and Parallelogram Theorems (GEO #10 – 11, GMD #6, GPE #4, GSRT #5) – 12 days
Observations on triangles Experiment: Triangle inequality theorem, angles
2 days
opposite longer sides are longer
and apply to the world
Proofs – Interior angle sum = 180, Polygon
1 day
interior and exterior angle sum
Finding angles in triangles and Proofs –
base angles of isosceles triangle are
congruent
Congruent Triangles (SSS, SAS, ASA)
Review
CPCTC
Quiz + Distance formula
Proofs –||gram – Day 1
Proofs–||gram – Day 2
Prove it’s a parallelogram Coordinate
Geometry
Test
Review Equilateral and Isosceles
Triangle proofs
1 day
1 day
radical review
Opposite sides are congruent, opposite
angles are congruent + practice
Diagonals bisect, Rectangles/Squares have
congruent diagonals + practice
1 day
1 day
1 day
1 day
1 day
1 day
Algebraic Expressions (N&Q RN #1 – 3, N&Q CN #1 – 2, A SSE #1-3a, A APR #1) – 9 - 10 days
Review of exponent properties and
2 days
extend to rational exponents
Write radical as rational exponent and
vice versa + Mixed review + square
root list (72 = 49)
Application of exponent properties: Intro
to i, operations with i
Quiz + Factoring Pre-assessment
Operations with Monomials, Explain that
operations are closed (like integers) over
+/*
Perfect square trinomials and completing
the square (just the trinomial)
Review Factoring trinomials, Greatest
common factor, difference of squares
Test
Function Introduction 5 days
Review of function basics
FIF 4, 5, 6, 7, 8b, 9, FBF 1, FLE 3, AREI 7
Function graphs Day 1 Observations
FIF 4, 5, 6, 7, 8b, 9, FBF 1, FLE 3, AREI 7
Function graphs Day 2
FIF 4, 5, 6, 7, 8b, 9, FBF 1, FLE 3, AREI 7
Review of function basics
FIF 4, 5, 6, 7, 8b, 9, FBF 1, FLE 3, AREI 7
Quiz + Mock Final Review
1 day
1 day
1 day
1 day
1 day
(1-2 days depending on Pre-assessment)
Include Rewriting 𝑥 4 − 𝑦4 = (𝑥 2)2 − (𝑦2 )2.
1 day
1 day
Domain, range, generating coordinates
from function (organizing in table/graph),
write a function given a table
Identifying Max/Min, intercepts (simple
examples: Linear, abs. value, quadratic) all
graphed by hand describe similarities and
differences
+ Mini Factoring review
Have students graph linear, quadratic,
square root, cube root, piece-wise,
exponential and abs. value using
technology. Describe similarities and
difference
+ Mini Factoring review
Domain, range, generating coordinates
from function (organizing in table/graph),
write a function given a table
Quiz topic: Can compare two functions
when represented in a different way (Ex:
given a graph of one quadratic function
and an absolute value equation for
another.
1 day
Project – Function analysis
packet
1 day
1 day
1 day
1 day
Final Exam Review - 4 days
Review Day 1
Review Day 2
Review Day 3
Final Exam (Taken last week of December)
Performance Task (out of 20)
Multiple Choice Section (out of 30)
1 day
1 day
1 day
1 day
- Outline with analysis of results
- Two mock finals (8 MC questions
and 1 performance task)
Students who perform below 70%
must retake the final exam during
finals week in January.
SECOND SEMESTER (Begins first day of January return)
Functions and Quadratics 8 days
Derive equation of parabola given a
focus and directrix G GPE 2
FIF 4, 5, 6, 7, 8b, 9, FBF 1, FLE 3, AREI 7
Fundamental Theorem of Algebra
NCN 9 and
Focus on Roots: Quadratic Functions
by factoring and zero product
property ASSE 3a, AREI 4ab
Focus on Roots/MaxMin: Quadratic
Functions by square root and
completing the square ASSE 3b
Review + Quiz
Focus on Roots: Quadratic Functions
by quadratic formula AREI 4ab
Application of quadratic functions
Review + Project Day
Test + Project Due
Similarity 6 days
Side Splitting Theorem GSRT 4, G
GPE 6
1 day
For real and imaginary solutions
𝑥 2 − 4 = (𝑥 + 2)(𝑥 − 2) = 2, -2
𝑥 2 + 4 = (𝑥 + 2𝑖)(𝑥 − 2𝑖)= 2i, -2i
1 day
Use completing square to reveal max/min
of quadratic function
1 day
Intro project
Be able to derive the quadratic formula
1 day
1 day
Motion of an object under force of gravity
1 day
1 day
1 day
+ review of proportions
+ Find point on line segment between
two given points that partitions the
segment given a ratio
Review/Intro to dilations
Use dilations of triangles
1 day
Definition of Similar + Mini Quiz
GSRT 2, 5
Similar Polygons
1 day
Similar Triangle Proofs GSRT 3, 4
+Prove AA by using Dilations
+Proof of side splitting theorem
+Proof of Pythagorean theorem
1 day
What is a scale factor? GSRT 1ab
Similar Triangles and Polygon
Review GSRT 5
Test
1 day
Project – Children’s story
book maybe?
Properties preserved (invariant) under a
dilation:
1. angle measures (remain the same)
2. parallelism (parallel lines remain parallel)
3. colinearity (points stay on the same lines)
4. midpoint (midpoints remain the same in
each figure)
5. orientation (lettering order remains the
same)
--------------------------------------------------------------6. distance is NOT preserved (NOT an
isometry)
1 day
1 day
Similarity in Right Triangles 8 days (Warm – up each day about Pythagorean Theorem)
Pythagorean Theorem Review + In
1 day
depth discovery/observations of
30,60,90 and 45, 45, 90 triangles. Why
are they “special”? GRST 8.1
“Generating” a trig table including (but
Discovery of similar right triangle
1 day
not
limited
to)
30,
45,
60,
and
90
ratios GRST 6
Using your Trig functions to find side
1 day
lengths of a triangle GRST 8
Using your Trig functions to find
1 day
angles of a triangle GRST 8
Quiz + Angles of elevation and
1 day
depression GRST 8
Assign TRIG Ladder
Company Project
Use “friendly-ish”
numbers.
No Calculators!!!
Pythagorean Identity Proofs and
observations of Sine and Cosine of
Complementary Angles GRST 7 FTF 8
Review + Project Day
Test
Circles 6 days
Circle Vocabulary and Proof of and
Finding circumference and area of
circles G C 2, G GMD 1
Equation of circle G GPE 1
Mini Quiz + Angles in circles:
Inscribed, central, and circumscribed +
Construction G C 2, 3
Tangent lines + Construction
1 day
1 day
1 day
*Key vocab: Diameter, radius,
circumference, inscribed angle, central
angle, circumscribed angle, chord, tangent
line, arc
1 day
*Derive through Pythagorean theorem,
complete square to find center/radius
*Construct – inscribed and circumscribed
circles of a triangle
*Prove properties of angles for a
quadrilateral inscribed in a circle
*Construct – a tangent line from a point
outside a given circle to the circle
Properties of tangent lines and chords,
use Pythagorean theorem to find various
segment lengths.
1 day
Review
Test
Area and Volume and Similarity 6 days
Prove that all circles are similar, Arc
length and area of sector G C 1, 5
Volume discovery: Cylinder, Pyramid,
Cone, Rectangular Prism G GMD 1, 2
Mini-Quiz + Introduce Project +
Project Time *Similarity Project about
comparing scale values of k, 𝑘 2 , 𝑘 3 G
GMD 5
Review topics: Similarity/Right
Triangles + Project Time
Review topics: Volume Practice +
Project Time
Test
Stats and Probability 6 days
Intro to Stats concepts and short
project intro
Compound Events
Project Day
Project Day
TRIG Ladder project due
I strongly urge you to use
MVP materials under
Math II (Circles from
Geometric perspective &
Circles)
1 day
1 day
1 day
1 day
Derive using similarity the fact that arc
length of an arc is proportional to
radius, Define radian measure as a
constant of proportionality, derive
formula of area of sector
Use dissection arguments, Cavalieri’s
principle, informal limit arguments for
discovery/proof
1 day
1 day
1 day
Cereal Project + Snowman
Project
1 day
1 day
1 day
Project Due
Aim to hit S CP 1, 2, 3 with examples and practice
1 day
S CP 6, 7, 8
Use permutations and combinations to compute probabilities of compound
events and solve problems
In pairs have students devise an experiment that they can collect data on
(Example S CP 4). Then students estimate probability of random sampling.
Presentation includes students recognizing and explaining concepts of
conditional probability and independence in their own words (S CP 5). They
1-2
days
1 day
1 day
Presentations + Quiz
have to use their estimated probability to make a decision/conclusion and
analyze a decision/strategy based on those results (S MD 6, 7).
Presentation + Quiz = Test Score! (No Test for this chapter)
1 day
If started Right triangles week after finals week you will end May 12th – 16th (using max amount of days per chapter)
I recommend doing 2 weeks of final exam review and administering a final exam first week of June. Analyze results with
students to identify weaknesses and strengths and students with below 70% must retake final exam during finals week.
Students who perform above will begin learning material for Math III (mostly independently or with video stations),
while the other group does intensive review with teacher. Finals week students either take final exam (last chance) or
short Math III quiz/test (open notes if you like).
May 19 – 23 Review
May 26 – 30 Review
June 1 – 6 Final and Analysis
June 9 – 13 Review/Math III
June 16 – 20 Review/Math III
June 23 – 26 Final/Math III assessment