Detailed Common Core

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Unit 1
Number
of Days
Topic
Vocab/Required information to cover
Lesson Ideas/Notes
Chapter 1
Have students take photos of
real-life examples
2-3
Points, Lines, Planes
G.CO.1
Points, lines, planes, coplanar, collinear, angles,
circle, ray, opposite ray, perpendicular, parallel,
segment, midpoint, angle bisector, straight angles,
supplementary angles, complementary angles,
linear pair, adjacent angles, vertical angles,
alternate interior angles, alternate exterior angles,
corresponding angles, isosceles triangle,
equilateral triangle, scalene triangle, right
triangle, hypotenuse, altitude, median
 segments,  angles, bisecting segments, 
3-4
1
Constructions
Logic
2
9 total
G.CO.12
G.CO.13
Use locus to help with
definitions
2D Geometry only—no
intersections of planes/planes
& lines/etc
Day 1: vocab
Day 2: vocab with algebra
Construct with paper/compass
lines, lines, equilateral triangle, hexagon in a
circle, square
Use Nspire/GeoGebra to
construct
altitude and median of a triangle
Mathopenreference.org/constr
uctions
Conditional, disjunction, conjunction,
biconditional
Converse, inverse, contrapositive
Unit Review, Unit Test
Use definitions from day 1 for
the statements
Additional
Information
Number of
Days
Topic
Vocab/Required information to cover
Lesson Ideas/Notes
Day 1: Translations, reflections, rotations, dilations
Transparency lab (Angela & Julie)
Nspire/GeoGebra
Chapter 2
2
Basic
Transformations
G.CO.2
G.CO.4
G.CO.5
Day 2: Compositions
Orientation, Isometry vs. Non-isometry, direct vs opposite
isometry
Horizontal stretch (nontraditional transformations)
On graph paper & without
graphs (picture with a center
of dilation)
Shortcuts
More Compositions
Glide reflection vs. other
1
1
Mapping notation
Rotational &
Line Symmetry
2
Group activities: using
mirrors, snowflake rotation,
tracing cardstock shapes
G.CO.4
G.CO.3
Unit Review, Unit Test
6 total
Additional
Information
Number
of Days
Topic
Vocab/Required information to cover
1
Chapter 3
Mini-proofs
1
Line & Angle Proofs
G.CO.9
1
Rigid Motion
creating Triangle
Congruence
G.CO.6
G.CO.7
G.CO.8
1
7
Congruent Triangle
Proofs
G.CO.6
G.CO.7
G.CO.8
2
Proofs about
Triangles
G.CO.10
2
15 total
Additional
Information
Vocab
Vertical Angles  ,
Alternate Interior Angles  ,
Corresponding Angles  ,
Points on a  bisector are equidistant from the
segment’s endpoints
Use transformations to review what is being
preserved, emphasizes corresponding parts
Midsegment Thm, Exterior Angle Thm, Triangle
Inequality Thm
Triangle Properties
Lesson Ideas/Notes
SSS/SAS/AAS/ASA
HL
CPCTC
Isosceles
Overlapping Triangles
Addition/Subtraction Postulate
Measures of int ’s sum to 180,
Base ’s of isosceles triangle  ,
Midsegment is parallel to third side & half the
length,
Medians of a triangle meet at a point,
Perpendicular bisectors meet at a point,
Angle bisectors meet at a point
Unit Review, Unit Test
This lesson
could go
anywhere
earlier
Number
of Days
1
1
2
Topic
Chapter 4
Properties of
Quadrilaterals
Parallelogram
Algebra
Sufficient for Proof
Proofs about
Parallelograms
2
6 total
Vocab/Required information to cover
G.CO.11
GeoGebra/Nspire activity
G.CO.11
G.CO.11
Lesson Ideas/Notes
Day 1: Given a shape, prove x, y, z
Day 2: Prove it’s a
or special
or
Day 1: Prove it’s a
Day 2: Prove it’s a special
Unit Review & Unit Test
Additional
Information
Unit 2
Number
of Days
Topic
Vocab/Required information to cover
Lesson Ideas/Notes
Additional Information
Chapter 5
-Passing through a center other than origin
(graphically and sketching)
1
Dilations
G.SRT.1
-Show they preserve parallelism
Use GeoGebra/Nspire
-Angle measures preserved
-Scale Factor
½
½
Compostion
Establish AA
Similarity through
Dilations
G.SRT.2
-Include at least one dilation
G.SRT.3
GeoGeobra/Nspire Lab
Day 1: Triangle Proportionality
Theorems, Midsegments (see unit 1
chapter 3)
6
Triangle
Proportionality &
Prove Triangle
Theorems
G.SRT.4
G.SRT.5
G.GPE.7
Day 2: Mean Proportional and
Pythagorean Theorem proved using
triangle similarity (Khan Academy or
YouTube)
Day 3 & 4: Similarity proofs,
A line parallel to one side of a triangle
divides the other 2 (sides) proportionally
(and conversely) (think AA similarity
proof with cross products)
Day 5: Distance, Midpoint, Slope
Formula
Day 4-Classwork 5.5
(Julie and Angela)
https://www.khanacade
my.org/math/geometry/
right_triangles_topic/p
ythagorean_proofs/v/py
thagorean-theoremproof-using-similarity
Day 6: Similar Coordinate proofs
2
Unit Review & Unit Test
10 total
Number
of Days
Topic
Vocab/Required information to cover
Lesson Ideas/Notes
Additional Information
Chapter 6
1
Trigonometry using
Similar Triangles
G.SRT.6
G.SRT.7
G.SRT.8
G.MG.1
2
3 Total
Pythagorean Theorem & Setting up ratios
Day 1: Solving for angles & sides using trig
Day 2: Word problems (includes problems
with angles of elevation & depression)
“Quest”
-first time seeing trig ratios
Unit 3
Number
of Days
1
1
1
Topic
Chapter 7
Area &
Perimeter
Volume of
prisms
Volume of
Cylinder,
Pyramid, Cone,
Sphere
Vocab/Required information to cover
G.GMD.1
G.MG.2
Basic formulas they know
G.GMD.3
G.MG.1
G.MG.2
Formulas
Use them algebraically
Word problems (real world)
Cross-Sections
Rotating 2D
G.GMD.4
Design
Problems
G.MG.3
2
5 total
Triangle: cone
Rectangle: cylinder
Satisfying physical constraints, minimize cost
Word Problems
Unit Review & Unit Test
Lesson Ideas/Notes
Google SketchUp
Demo
Tape shape to pencil
and
Not all students will
reach this
Additional
Information
Unit 4
Number
of Days
Topic
Vocab/Required information to cover
Lesson Ideas/Notes
-Writing Equations of Lines
(slope-intercept/point-slope)
-Parallel/Perpendicular Lines Vertical/Horizontal Line
- /  lines look at
graphically, compare to
systems from Algebra
Chapter 8
2
3
Lines
Coordinate
Proofs
1
1
G.GPE.5
G.GPE.4
G.GPE.7
Points on Line
Segments
2
9 Total
G.GPE.6
Day 1: Triangle Coordinate Proofs
Day 2: Quadrilateral Coordinate Proofs
Day 3: Coordinate Proofs of Vocab (midpoint,
seg bisector, altitude, median)
-Perimeter of Polygons
-Perimeter & Area of Right Triangles &
Rectangles
(extension: isosceles triangle)
-example: endpoints (1,3), (8,6) and we want a
point divided into 2:3—(3/5)(1,3) + (2/5)(8,6)
Unit Review & Unit Test
See Andy
Additional
Information
Unit 5
Number
of Days
1
1
Topic
Chapter 9
Circle Vocab
Equation of a
Circle
Changing
quadratic
forms
5
Circle Angles
½
Proving
Circles
Similar
1
¼
2
Circle
Constructions
Inscribed
Quadrilateral
Sectors &
Radians
2
13 Total
Vocab/Required information to cover
G.GPE.1
-Change from standard to center-radius form
using completing the square
G.C.2
Day 1: Angle Lab
Day 2: Angle Practice
Day 3: Segment Lab
Day 4: Segment Practice
Day 5: Mixed Practice
G.C.1
-Unit circle, 45-45-90 inscribed triangle
G.C.3
-Construct inscribed & circumscribed circles
of a triangle
-Prove opposite angles of an inscribed
quadrilateral are supplementary
Day 1: Area of a Sector
Day 2: Degree  Radian, s   r
Unit Review & Unit Test
G.C.5
Additional Information
Take-home assignment after chapter 8 test
-Find center & radius
-Write equation
G.GPE.1
G.C.3
Lesson Ideas/Notes
GeoGebra/Nspire
(Julie & Angela)
http://learni.st/users/S33572/b
oards/2983-proving-all-circlesare-similar-common-corestandard-9-12-g-c-1
http://www.geom.uiuc.edu/~d
wiggins/conj47.html
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