AIM HIGH SCHOOL
11648 N. Main Street
Whitmore Lake, MI 48189
(734) 550 9595
www.aimhighschool.com
Curriculum Map – 2012
COURSE TITLE:
Geometry
DESCRIPTION OF
COURSE:
PREREQUISITES: Algebra 1
In Geometry, students study points, segments, triangles,
polygons, circles, and solid figures. There is a focus on
comparisons between these figures concerning surface areas,
volumes, congruency, similarity, transformations, and
coordinate Geometry. The course emphasizes higher order
reasoning, spatial visualization and logical reasoning
patterns. Inductive, deductive, and intuitive reasoning skills are
improved with Geometry.
Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds
on preceding skills.
* Quizzes and tests correspond to chapters and sections of the 2012 Common Core Geometry Textbook by Holt McDougal, unless otherwise
specified.
CONTENT
Unit 1 Essentials of
Geometry
(Points, Lines,
Planes, angles,
etc.)
CORE CONCEPTS
o
o
o
o
o
o
o
Define and Identify Points, Lines, and
Planes
Measure and classify angles and add angle
measures
Measure segments and add segment
lengths
Bisect a segment and find the coordinates
of the midpoint of a segment
Bisect an angle
Find the measures of complementary and
supplementary angles
Find the measures of angles formed by
intersecting lines (vertical angles and linear
pairs)
ASSESSMENT
Quiz (Section 1)
Points, Lines, and
Planes
STANDARDS
L3.1.1, L3.1.2, L3.1.3, L3.2.1,
L3.2.2, L3.2.3, L3.2.4, L3.3.1,
L3.3.2, L3.3.3
Quiz (Section 2
Segments
A1 Expressions, Equations, and
Inequalities
L1.2: Representation and
Relationships
G1.1.4, G1.1.5
Quiz (Section 3)
Angles
Unit 1 Test
CONTENT
Unit 2 Introduction to
Reasoning and
Proof
CORE CONCEPTS
Find patterns and use them to make
predictions
o Use inductive reasoning to make
conjectures
o Use if-then statements
o Use properties of equality and congruence
o
ASSESSMENT
Quiz (Section 1)
If-Then statements,
Converse, biconditional, Counter
example
STANDARDS
L1.2: Representation and
Relationships
G1.1.6
Quiz (Section 2)
Properties of Algebra
Quiz (Section 3)
Special Pairs of Angles
Proof Packet
(Partner Presentations)
Unit 3-Parallel
and
Perpendicular
Lines
o
o
o
o
o
o
o
Identify relationships between lines
Use theorems about perpendicular lines
Identify angles formed by transversals
Find the congruent angles formed when a
Transversal cuts parallel lines
Show that two lines are parallel
Find the equation of a line parallel to a
given line and goes through a given point
Quiz (Section 1)
Systems of Equations
Quiz (Section 2)
Angle Pairs created by a
transversal and 2 parallel
lines
Small Unit 3 Test
A1 Expressions, Equations, and
Inequalities
A2 Functions
A3: Family of Functions
L1.2: Representation and
Relationships
G1.1.1, G1.1.2, G1.1.3
CONTENT
CORE CONCEPTS
o
Unit 4 Triangle and
Polygon
Properties
Unit 5 - Similar
Figures
Find the equation of a line perpendicular to
a given line and goes through a given point
o Sum of all interior angles of any triangle
adds to 180 degrees
o Use the triangle measurements to decide
which side is longest and which angle is
largest
o Classify triangles by their sides and by their
angles
o Find angle measures in triangles
o Use properties of Isosceles and equilateral
triangles
o Classify polygons
o Find the measure of interior and exterior
angles of polygons
o Use ratios and proportions
o Identify similar polygons
o Show that two triangles are similar using
AA, SSS, and SAS
ASSESSMENT
ACT PREP TEST on:
1. Systems of
equations
2. Parallel and
perpendicular
lines
3. Geometry
Concepts
Quiz (Section 1)
Triangle Properties and
Classification
Quiz (Section 2)
Properties of Isosceles
and Equilateral Triangles
STANDARDS
G1: Figures and Their Properties
(29)
L1.1.6, G1.2.1, G1.2.2
L1.2: Representation and
Relationships
Quiz (Section 3)
Polygon Classification
Quiz (Section 4)
Interior & Exterior angle
sums
Quiz (Section 5)
Area and Perimeter of
Polygons
Unit 4 Test
Quiz (Section 1)
Ratios and Proportion
Quiz (Section 2)
Similar Figures
L1.1 Number Systems and
Number
Sense
L2.3.1
G2.3 Congruence and Similarity
CONTENT
CORE CONCEPTS
o Use the triangle proportionality theorem
and its converse
o Identify and draw dilations
ASSESSMENT
Pool Applications
STANDARDS
G2.3.3, G2.3.4
Quiz (Section 3 & 4)
Similar Triangle Proofs
Quiz (Section 5)
Altitude in a Right
Triangle
Unit 6 - More on
Right Triangles
o Simplify square roots
expressions
o Use the Pythagorean Theorem and the
distance formula
o Find the side lengths of 45‐45‐90 triangles
o Find the side lengths of 30‐60‐90 triangles
Unit 6 Test
Quiz (Section 1 & 2)
Pythagorean theorem
and distance formula
Taco Cart Activity
Quiz (Section 3)
Special Right Triangles
Unit 5 Test
L1.1 Number Systems and
Number Sense
L1.1.6
L1.2: Representation and
Relationships
L2: Calculation, Algorithms, and
estimations (13), L2.1
G1: Figures and Their Properties
(29)
G1.2.3, G1.2.4, G1.2.5, G1.3.1,
G1.3.2, G1.3.3
Mid-Term 1
(Units 1 - 6)
Unit 7 Trigonometry
o
o
o
o
Sine, cosine, and tangent ratios
Sine, cosine, and tangent equations
Inverse sine, cosine, and tangent
Solve right triangles
Activity
Find the height of the
tree and the angle of
incline on the treadmill
Quiz (Section 1,2,3)
L1.1 Number Systems and
Number Sense
L1.1.6
L1.2: Representation and
Relationships
L2: Calculation, Algorithms, and
CONTENT
CORE CONCEPTS
ASSESSMENT
Solving Right Triangles
Unit 7 Mini Test
Unit 8 Congruent
Figures
Unit 9 Quadrilaterals
o Identify congruent triangles and
corresponding parts
o Show triangles are congruent using SSS,
SAS, ASA, AAS, and HL
o Triangle Congruence Proofs
o Show corresponding parts of congruent
triangles are congruent
o Use angle bisectors and perpendicular
bisectors
in proofs
Quiz (Section 1)
Congruent Triangles
o Identify and classify quadrilaterals and find
their angle measures
o Use properties of parallelograms
o Show that a quadrilateral is a
parallelogram
o Use properties of special types of
parallelograms (rhombuses, rectangles, and
squares)
o Use properties of trapezoids
o Identify special quadrilaterals based on
limited information
Quiz (Section 1)
Properties of
Parallelograms
Quiz (Section 2)
Shortcuts and Proofs;
ASA, SSS, AAS, SAS, & HL
Quiz (Section 3)
Proof Extension
STANDARDS
estimations (13), L2.1
G1: Figures and Their Properties
(29)
G1.2.3, G1.2.4, G1.2.5, G1.3.1,
G1.3.2, G1.3.3
A1 Expressions, Equations, and
Inequalities
L3: Mathematical reasoning,
logic, and proof (10)
L1.2: Representation and
Relationships
G2.3 Congruence and Similarity
G2.3.1, G2.3.2
Unit 8 Presentations
Quiz (Section 2)
Showing that a
Quadrilateral is a
Parallelogram
Quiz (Section 3)
Special Quadrilaterals
Quiz (Section 4)
Trapezoids and Kites
A1 Expressions, Equations, and
Inequalities
G1: Figures and Their Properties
(29)
L1.2: Representation and
Relationships
G1.4.1, G1.4.2, G1.4.3, G1.4.4
CONTENT
Unit 10 - Area
and Perimeter
Surface Area
and Volume of
Solids
CORE CONCEPTS
o Find the area and perimeter of squares and
rectangles
o Find the area and perimeter of triangles,
parallelograms, and trapezoids
o Find the circumference and area of circles
o Find arc length and area of sectors
o Identify and name solid figures
o Find the surface areas of prisms, cylinders,
cones, and pyramids
o Find the volume of prisms, cylinders, cones,
and pyramids
o Find the surface area and volume of
spheres
ASSESSMENT
Unit 9 Test
Quiz (Section 1)
Area and Perimeter
Activity
Ratio of the volume of
prism compared to a
pyramid of the same
base.
Quiz (Section 2 & 3)
Volume of Prisms and
Pyramids
STANDARDS
G2: Relationships Between
Figures (10)
L1.2: Representation and
Relationships
L2.3.1
G1.5.1, G1.5.2
G2.1.1, G2.1.2
G1.8.1, G1.8.2
G2: Relationships Between
Figures (10)
G2.2, G2.1.1, G2.1.2, G2.2.1,
G2.2.2, G2.3.5
Quiz (Section 4 & 5)
Surface Area of Prisms
and Pyramids
Quiz (Section 6)
Surface Area and Volume
of a Sphere
Volume Pamphlet
Unit 9 Test
Unit 11 Extended
Properties of
Circles
o Identify segments and lines related to
circles (chord, diameter, radius, secant, and
tangent)
o Use properties of tangents
o Use properties of arcs of circles
Quiz (Section 1)
Quiz (Section 2)
Quiz (Section 3)
Quiz (Section 4)
L1.1.6
G1.6.1, G1.6.2, G1.6.3, G1.6.4
CONTENT
CORE CONCEPTS
ASSESSMENT
o Use properties of chords of circles
o Use properties of inscribed angles
o Write and graph the equation of a circle
STANDARDS
Unit 11 Test
Mid-Term 2
(Units 7 - 11)
Unit 12 Properties of
Transformations
o Translate figures and use vectors
o Use properties of Matrices
o Preform reflections, rotations, and apply
compositions of transformations
o Identify symmetry
o Identify and perform dilations
Quiz (Sections
1,2,&3)
Reflections, Rotations,
and Transformations
Quiz (Section 3 & 4)
Dilation and
Compositions
L1.2.3
G3: Transformations of
Figures in the Plane (5)
G3.1.1
G3.1.2
G3.2.1
G3.2.2
Unit 12 Project
Unit 13 Probability
o
o
o
o
o
Find the likelihood of an event
Find the number of possible arrangements
Find the probability of an event
Find the probability of compound events
Examine independent and independent
events
Quiz (Section 1)
Find Probabilities and
Odds
Quiz (Section 2)
Find Probabilities Using
Permutations
Quiz (Section 3)
Find Probabilities Using
Combinations
CC.9-12 S.CP.1
CC.9-12 S.CP.2
CC.9-12 S.CP.9
CONTENT
CORE CONCEPTS
ASSESSMENT
Quiz (Section 4)
Find Probabilities Using
Disjoint and Overlapping
Events
Quiz (Section 5)
Find Probabilities Using
Independent and
Dependent Events
Unit 13 Project
ACT PREP
(Units 1 - 13)
STANDARDS