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Geometry Curriculum Map
Unit – 1st Quarter
Essentials of Geometry
1. What are points, lines, and
planes?
2. What are congruent
segments?
Content/Vocabulary
Assessment
1. Identify Points, Lines, and Planes
A. Vocabulary
1. undefined terms
2. collinear points
3. coplanar points
4. defined terms
5. line segment
6. endpoints
7. ray
8. opposite rays
9. intersection
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
1. Observation
A. Notebook Check
2. Use Segments and Congruence
A. Vocabulary
1. postulate, axiom
2. coordinate
3. distance
4. between
5. congruent segments
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
A. Notebook Check
B. Notebook Check
C. Homework
B. Notebook Check
C. Homework
AZ Standards Addressed
3. How do you find the
distance and midpoint
between two points?
4. How do you classify
angles?
3. Use Midpoint and Distance Formulas
A. Vocabulary
1. midpoint
2. segment bisector
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
3. Observation
A. Notebook Check
4. Measure and Classify Angles
A. Vocabulary
1. angle
a. acute
b. right
c. obtuse
d. straight
2. sides of an angle
3. vertex of an angle
4. measure of an angle
5. congruent angles
6. angle bisector
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
4. Observation
A. Notebook Check
B. Notebook Check
C. Homework
B. Notebook Check
C. Homework
Mid-Unit Assessment
(Instructor Generated)
5. How do you identify
complementary and
supplementary angles?
5. Describe Angle Pair Relationships
A. Vocabulary
1. complementary angles
2. supplementary angles
3. adjacent angles
5. Observation
A. Notebook Check
3. S4.C3.PO1
S4.C3.PO2
S4.C3.PO3
4. linear pair
5. vertical angles
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
6. How do you classify
polygons?
7. How do you find the area
and perimeter of a figure?
B. Notebook Check
C. Homework
6. Classify Polygons
A. Vocabulary
1. polygon
a. side
b. vertex
2. convex
3. concave
4. n-gon
5. equilateral
6. equiangular
7. regular
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
6. Observation
A. Notebook Check
7. Find Perimeter, Circumference, and Area
A. Vocabulary
1. perimeter
2. circumference
3. area
4. diameter
5. radius
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
7. Observation
A. Notebook Check
B. Notebook Check
D. Homework
B. Notebook Check
C. Homework
7. S4.C1.PO1
S4.C1.PO6
Unit Assessment
(Instructor Generated)
Reasoning and Proof
1. How do you use inductive
reasoning in mathematics?
2. How do you write
statements?
3. How do you construct a
logical argument?
1. Use Inductive Reasoning
A. Vocabulary
1. conjecture
2. inductive reasoning
3. counterexample
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
1. Observation
A. Notebook Check
2. Analyze Conditional Statements
A. Vocabulary
1. conditional statement
a. converse
b. inverse
c. contrapositive
2. if-then form
a. hypothesis
b. conclusion
3. negation
4. equivalent statements
5. perpendicular lines
6. biconditional statement
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
A. Notebook Check
3. Apply Deductive Reasoning
A. Vocabulary
1. deductive reasoning
3. Observation
A. Notebook Check
1. S5.C2.PO8
B. Notebook Check
C. Homework
2. S5.C2.PO9
B. Notebook Check
C. Homework
3. S5.C2.PO8
S5.C2.PO10
S5.C2.PO11
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
4. How can you identify
postulates from a diagram?
4. Use Postulates and Diagrams
A. Vocabulary
1. line perpendicular to a plane
2. postulate (axiom)
3. theorem
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
B. Notebook Check
C. Homework
4. Observation
A. Notebook Check
4. S4.C1.PO5
B. Notebook Check
C. Homework
Mid-Unit Assessment
(Instructor-Generated)
5. How do you solve an
equation?
6. How do you write a
geometric proof?
5. Reason Using Properties from Algebra
A. Vocabulary
1. equation
2. solve an equation
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
5. Observation
A. Notebook Check
6. Prove Statements about Segments and
Angles
A. Vocabulary
1. proof
2. two-column proof
3. theorem
B. Discussion
6. Observation
5. S5.C2.PO5
S5.C2.PO12
B. Notebook Check
C. Homework
A. Notebook Check
B. Notebook Check
6. S5.C2.PO12
S5.C2.PO13
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
7. What are the relationships
between angles?
7. Prove Angle Pair Relationships
A. Vocabulary
1. complementary angles
2. supplementary angles
3. linear pair
4. vertical angles
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
C. Homework
7. Observation
A. Notebook Check
7. S5.C2.PO12
B. Notebook Check
C. Homework
Unit Assessment
(Instructor-Generated)
Parallel and Perpendicular
Lines
1. What angle pairs are
formed by transversals?
1. Identify Pairs of Lines and Angles
A. Vocabulary
1. parallel lines
2. skew lines
3. parallel planes
4. transversal
5. corresponding angles
6. alternate interior angles
7. alternate exterior angles
8. consecutive interior angles
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
1. Observation
A. Notebook Check
B. Notebook Check
C. Homework
1. S4.C1.PO4
2. How are angles related for
two parallel lines and a
transversal?
3. How do you prove lines
are parallel?
2. Use Parallel Lines and Transversals
A. Vocabulary
1. corresponding angles
2. alternate interior angles
3. alternate exterior angles
4. consecutive interior angles
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
A. Notebook Check
3. Prove Lines are Parallel
A. Vocabulary
1. paragraph proof
2. converse
3. two-column proof
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
3. Observation
A. Notebook Check
2. S4.C1.PO4
B. Notebook Check
C. Homework
3. S5.C2.PO12
B. Notebook Check
C. Homework
Mid-Unit Assessment
(Instructor-Generated)
4. How do you find the slope
of a line?
4. Find and Use Slopes of Lines
A. Vocabulary
1. slope
2. rise
3. run
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
4. Observation
A. Notebook Check
B. Notebook Check
C. Homework
4. S3.C3.PO4
S3.C4.PO1
5. How do you write an
equation of a line?
6. How do you find the
distance between a point and
a line?
5. Write and Graph Equations of Lines
A. Vocabulary
1. slope-intercept form
2. standard form
3. x-intercept
4. y-intercept
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
5. Observation
A. Notebook Check
6. Prove Theorems about Perpendicular
Lines
A. Vocabulary
1. distance from a point to a line
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
6. Observation
5. S3.C3.PO3
B. Notebook Check
C. Homework
6. S4.C3.PO3
A. Notebook Check
B. Notebook Check
C. Homework
Unit Assessment
(Instructor-Generated)
Probability
1. How do you define
probability? How do you
find the probability of an
event?
1. Introduction to Probability
A. Vocabulary
1. probability
2. favorable outcome
3. possible outcome
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
1. Observation
A. Notebook Check
B. Notebook Check
2. Deal or No Deal
C. Homework
1. S2.C2.PO1
2. What is the difference
between theoretical and
experimental probability?
3. How do you make a
prediction?
2. Experimental Probability
A. Vocabulary
1. experimental probability
2. theoretical probability
3. simulation
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
A. Notebook Check
3. Predictions
A. Vocabulary
1. prediction
2. probability of an event
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
3. Observation
A. Notebook Check
B. Notebook Check
2. Group Work
C. Homework
B. Notebook Check
C. Homework
2. S2.C2.PO1
S2.C2.PO2
Unit – 2nd Quarter
Congruent Triangles
1. How can you find the
measure of the third angle of
a triangle if you know the
measure of the other two
angles?
2. What are congruent
figures?
3. How can you use side
lengths to prove triangles
congruent?
Content/Vocabulary
Assessment
1. Apply Triangle Sum Properties
A. Vocabulary
1. triangle
a. scalene
b. isosceles
c. equilateral
d. acute
e. right
f. obtuse
g. equiangular
2. interior angles
3. exterior angles
4. corollary to a theorem
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
1. Observation
A. Notebook Check
2. Apply Congruence and Triangles
A. Vocabulary
1. congruent figures
2. corresponding parts
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
A. Notebook Check
3. Prove Triangles Congruent by SSS
A. Vocabulary
1. congruent figures
2. corresponding parts
B. Discussion
3. Observation
A. Notebook Check
AZ Standards Addressed
B. Notebook Check
C. Homework
2. S4.C1.PO8
B. Notebook Check
C. Homework
B. Notebook Check
3. S4.C1.PO8
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
4. How can you use two
sides and an angle to prove
triangles congruent?
5. If a side of one triangle is
congruent to a side of another
triangle, what information
about the angles would allow
you to prove the triangles are
congruent?
C. Homework
4. Prove Triangles Congruent by SAS and
HL
A. Vocabulary
1. leg of a right triangle
2. hypotenuse
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
4. Observation
5. Prove Triangles Congruent by ASA and
AAS
A. Vocabulary
1. flow proof
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
5. Observation
4. S4.C1.PO8
A. Notebook Check
B. Notebook Check
C. Homework
5. S4.C1.PO8
A. Notebook Check
B. Notebook Check
C. Homework
Mid-Unit Assessment
(Instructor-Generated)
6. How can you use
congruent triangles to prove
angles or sides congruent?
6. Use Congruent Triangles
A. Vocabulary
1. corresponding parts
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
6. Observation
A. Notebook Check
B. Notebook Check
C. Homework
6. S5.C2.PO12
7. How are the sides and
angles of a triangle related if
there are two or more
congruent sides or angles?
7. Use Isosceles and Equilateral Triangles
A. Vocabulary
1. legs
2. vertex angle
3. base
4. base angles
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
7. Observation
A. Notebook Check
7. S4.C1.PO6
B. Notebook Check
C. Homework
Unit Assessment
(Instructor-Generated)
8. What transformations
create an image congruent to
the original figure?
Relationships within
Triangles
1. What is the midsegment
relationship in a triangle?
How do you write a
coordinate proof?
8. Perform Congruence Transformations
A. Vocabulary
1. transformation
2. image
3. translation
4. reflection
5. rotation
6. congruence transformation
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
8. Observation
A. Notebook Check
1. Midsegment Theorem and Coordinate
Proof
A. Vocabulary
1. midsegment of a triangle
2. coordinate proof
1. Observation
8. S4.C2.PO1
S4.C2.PO2
B. Notebook Check
C. Homework
A. Notebook Check
1. S5.C2.PO12
2. How do you find the point
of concurrency of the
perpendicular bisectors of the
sides of a triangle? What is
the relationship?
3. When can you conclude
that a point is on the bisector
of an angle? What is the
relationship between the three
angle bisectors of a triangle?
4. How do you find the
centroid and orthocenter of a
triangle? What are the
relationships?
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
B. Notebook Check
2. Use Perpendicular Bisectors
A. Vocabulary
1. perpendicular bisector
2. equidistant
3. concurrent
4. point of concurrency
5. circumcenter
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
A. Notebook Check
3. Use Angle Bisectors of Triangles
A. Vocabulary
1. incenter
2. angle bisector
3. distance from a point to a line
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
3. Observation
A. Notebook Check
4. Use Medians and Altitudes
A. Vocabulary
1. median of a triangle
2. centroid
3. altitude of a triangle
4. orthocenter
B. Discussion
4. Observation
A. Notebook Check
C. Homework
2. S4.C1.PO3
B. Notebook Check
C. Homework
3. S4.C1.PO3
B. Notebook Check
C. Homework
B. Notebook Check
4. S4.C1.PO3
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
C. Homework
Mid-Unit Assessment
(Instructor-Generated)
5. How do you find the
possible lengths of the third
side of a triangle if you know
the lengths of two sides?
6. How do you use
inequalities to make
comparisons in two triangles?
How do you write an indirect
proof?
5. Use Inequalities in a Triangle
A. Vocabulary
1. side opposite
2. inequality
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
5. Observation
A. Notebook Check
6. Inequalities in Two Triangles and Indirect
Proof
A. Vocabulary
1. indirect proof
2. included angle
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
6. Observation
5. S4.C1.PO9
B. Notebook Check
C. Homework
6. S5.C2.PO12
A. Notebook Check
B. Notebook Check
C. Homework
Unit Assessment
(Instructor-Generated)
Similarity
1. How do you use ratios and
proportions to solve a
problem?
1. Ratios, Proportions, and the Geometric
Mean
A. Vocabulary
1. ratio
2. proportion
1. Observation
A. Notebook Check
1. S3.C4.PO2
S4.C4.PO1
3. means
4. extremes
5. geometric mean
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. How do you calculate
actual distance from a scale
drawing?
3. If two figures are similar,
how do you find the length of
a missing side?
B. Notebook Check
C. Homework
2. Use Proportions to Solve Geometry
Problems
A. Vocabulary
1. scale drawing
2. scale
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
3. Use Similar Polygons
A. Vocabulary
1. similar polygons
2. scale factor
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
3. Observation
A. Notebook Check
2. S3.C4.PO2
A. Notebook Check
B. Notebook Check
C. Homework
3. S4.C4.PO4
B. Notebook Check
C. Homework
Mid-Unit Assessment
(Instructor-Generated)
4. How can you show that
two triangles are similar?
4. Prove Triangles Similar by AA
A. Vocabulary
1. similar polygons
B. Discussion
4. Observation
A. Notebook Check
B. Notebook Check
4. S4.C1.PO8
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
5. How do you prove that
two triangles are similar by
using the similarity theorems?
6. What proportion can you
write if a line is parallel to
one side of a triangle?
7. How do you dilate a figure
in the coordinate plane?
C. Homework
5. Prove Triangles Similar by SSS and SAS?
A. Vocabulary
1. ratio
2. proportion
3. similar polygons
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
5. Observation
A. Notebook Check
6. Use Proportionality Theorems?
A. Vocabulary
1. corresponding angles
2. ratio
3. proportion
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
6. Observation
A. Notebook Check
7. Perform Similarity Transformations
A. Vocabulary
1. dilation
2. center of dilation
3. scale factor of a dilation
4. reduction
5. enlargement
6. transformation
B. Discussion
1. Lesson Notes
7. Observation
A. Notebook Check
5. S4.C1.PO8
B. Notebook Check
C. Homework
6. S4.C4.PO4
B. Notebook Check
C. Homework
B. Notebook Check
7. S4.C2.PO1
S4.C2.PO2
S4.C2.PO4
2. Activity
C. Guided/Independent Practice
C. Homework
Unit Assessment
(Instructor-Generated)
Probability
1. How do you determine the
number of possible outcomes,
and what they are, using a
chart, tree diagram, or the
counting principle?
2. How do you find the
probability of a compound
event? What are mutually
exclusive events?
3. How do you distinguish
independent and dependent
events?
1. Sample Spaces
A. Vocabulary
1. sample space
2. tree diagram
3. fundamental counting principle
4. probability
5. outcome
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
1. Observation
A. Notebook Check
2. Compound Events
A. Vocabulary
1. compound event
2. mutually exclusive
3. complement of an event
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
A. Notebook Check
3. Independent and Dependent Events
A. Vocabulary
1. independent events
2. dependent events
3. compound events
B. Discussion
3. Observation
A. Notebook Check
1. S2.C3.PO3
B. Notebook Check
2. Hop to the Pond
C. Homework
2. S2.C2.PO1
S2.C2.PO2
B. Notebook Check
C. Homework
B. Notebook Check
3. S2.C2.PO3
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
C. Homework
Unit – 3rd Quarter
Right Triangles and
Trigonometry
1. If you know the lengths of
two sides of a right triangle,
how do you find the length of
the third side?
2. How can you use the sides
of a triangle to determine if it
right, acute, or obtuse?
3. How can you find the
length of the altitude to the
hypotenuse of a right
triangle?
Content/Vocabulary
Assessment
AZ Standards Addressed
1. Apply the Pythagorean Theorem
A. Vocabulary
1. Pythagorean Triple
2. right triangle
3. leg of a right triangle
4. hypotenuse
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
1. Observation
A. Notebook Check
1. S3.C3.PO11
S4.C1.PO3
2. Use the Converse of the Pythagorean
Theorem
A. Vocabulary
1. right triangle
2. acute triangle
3. obtuse triangle
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
3. Use Similar Right Triangles
A. Vocabulary
1. altitude of a triangle
2. geometric mean
3. similar polygons
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
3. Observation
A. Notebook Check
B. Notebook Check
C. Homework
2. S3.C3.PO11
S4.C1.PO3
A. Notebook Check
B. Notebook Check
C. Homework
B. Notebook Check
C. Homework
3. S4.C4.PO4
Mid-Unit Assessment
(Instructor-Generated)
4. How do you find the
lengths of the sides of special
right triangles?
5. How can you find the leg
of a right triangle when you
know the other leg and one
acute angle?
6. How can you find the
lengths of the sides of a right
triangle when you are given
the length of the hypotenuse
and one acute angle?
7. How can you find all the
sides and angles of a right
4. Special Right Triangles
A. Vocabulary
1. isosceles right triangle
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
4. Observation
A. Notebook Check
5. Apply the Tangent Ratio
A. Vocabulary
1. trigonometric ratio
2. tangent
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
5. Observation
A. Notebook Check
6. Apply the Sine and Cosine Ratios
A. Vocabulary
1. sine
2. cosine
3. angle of elevation
4. angle of depression
5. hypotenuse
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
6. Observation
A. Notebook Check
7. Solve Right Triangles
A. Vocabulary
7. Observation
A. Notebook Check
4. S4.C1.PO10
B. Notebook Check
C. Homework
5. S4.C1.PO11
B. Notebook Check
C. Homework
6. S4.C1.PO11
B. Notebook Check
C. Homework
7. S4.C1.PO11
triangle?
1. solve a right triangle
2. inverse tangent
3. inverse sine
4. inverse cosine
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
B. Notebook Check
C. Homework
Unit Assessment
(Instructor-Generated)
Quadrilaterals
1. How do you find a
missing angle measure in a
convex polygon?
2. How do you find angle
and side measures in a
parallelogram?
3. How can you prove that a
quadrilateral is a
1. Find Angle Measures in Polygons
A. Vocabulary
1. diagonal
2. interior angle
3. exterior angle
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
1. Observation
A. Notebook Check
2. Use Properties of Parallelograms
A. Vocabulary
1. parallelograms
2. opposite sides
3. opposite angles
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
A. Notebook Check
3. Show that a Quadrilateral is a
Parallelogram
3. Observation
1. S4.C1.PO6
B. Notebook Check
C. Homework
2. S4.C1.PO6
B. Notebook Check
C. Homework
3. S4.C1.PO4
parallelogram?
A. Vocabulary
1. parallelogram
2. opposite sides
3. opposite angles
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
A. Notebook Check
B. Notebook Check
C. Homework
Mid-Unit Assessment
(Instructor-Generated)
4. What are the properties of
parallelograms that have all
sides or all angles congruent?
What are some important
relationships among these
parallelograms?
5. What are the main
properties of trapezoids and
kites?
4. Properties of Rhombuses, Rectangles, and
Squares
A. Vocabulary
1. rhombus
2. rectangle
3. square
4. parallelogram
5. quadrilateral
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
4. Observation
5. Use Properties of Trapezoids and Kites
A. Vocabulary
1. trapezoid
a. bases
b. base angles
c. legs
2. isosceles trapezoid
3. midsegment of a trapezoid
4. kite
5. Observation
A. Notebook Check
4. S4.C1.PO7
A. Notebook Check
B. Notebook Check
C. Homework
5. S4.C1.PO7
6. How can you identify
special quadrilaterals?
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
B. Notebook Check
6. Identify Special Quadrilaterals?
A. Vocabulary
1. parallelogram
2. rhombus
3. rectangle
4. square
5. trapezoid
6. kite
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
6. Observation
A. Notebook Check
C. Homework
6. S4.C1.PO7
B. Notebook Check
C. Homework
Unit Assessment
(Instructor-Generated)
Properties of
Transformations
1. How do you translate
a figure using a
vector?
1. Translate Figures and Use Vectors
A. Vocabulary
1. image
2. preimage
3. isometry
4. vector
a. initial point
b. terminal point
c. horizontal component
d. vertical component
5. component form
6. translation
1. Observation
A. Notebook Check
1. S4.C2.PO2
2. How do you use matrix
operations to translate a
figure?
3. How do you reflect a
figure in the coordinate
plane?
4. How do you rotate a figure
about the origin?
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
B. Notebook Check
2. Use Properties of Matrices
A. Vocabulary
1. matrix
2. element
3. dimensions
4. columns
5. rows
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
A. Notebook Check
3. Perform Reflections
A. Vocabulary
1. line of reflection
2. reflection
3. isometry
4. image
5. preimage
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
3. Observation
A. Notebook Check
4. Perform Rotations
A. Vocabulary
1. center of rotation
2. angle of rotation
3. rotation
4. Observation
A. Notebook Check
C. Homework
2. S4.C2.PO2
S3.C3.PO15
B. Notebook Check
C. Homework
3. S4.C2.PO2
S3.C3.PO15
B. Notebook Check
C. Homework
4. S4.C2.PO2
S3.C3.PO15
4. image
5. preimage
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
B. Notebook Check
C. Homework
Mid-Unit Assessment
(Instructor-Generated)
5. What is a glide reflection?
6. When does a figure have
line symmetry?
7. How do you use matrices
to draw a dilation?
5. Apply Compositions of Transformations
A. Vocabulary
1. glide reflection
2. composition of transformations
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
5. Observation
A. Notebook Check
6. Identify Symmetry
A. Vocabulary
1. line symmetry
2. line of symmetry
3. rotational symmetry
4. center of symmetry
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
6. Observation
A. Notebook Check
7. Identify and Perform Dilations
A. Vocabulary
1. scalar multiplication
2. dilation
7. Observation
A. Notebook Check
5. S4.C2.PO2
S4.C2.PO3
B. Notebook Check
C. Homework
B. Notebook Check
C. Homework
7. S4.C2.PO2
S4.C2.PO4
3. reduction
4. enlargement
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
B. Notebook Check
C. Homework
Unit Assessment
(Instructor-Generated)
Probability
1. What is a permutation?
2. What is a combination?
3. How do you determine
when to use combinations
versus permutations?
1. Permutations
A. Vocabulary
1. permutation
2. factorial
3. set
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
1. Observation
A. Notebook Check
2. Combinations
A. Vocabulary
1. combination
2. factorial
3. set
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
A. Notebook Check
3. Permutations and Combinations
A. Vocabulary
1. permutation
2. combination
3. Observation
A. Notebook Check
1. S2.C3.PO1
S2.C3.PO2
B. Notebook Check
C. Homework
2. S2.C3.PO1
S2.C3.PO2
B. Notebook Check
C. Homework
3. S2.C3.PO1
S2.C3.PO2
3. order
4. set
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
B. Notebook Check
C. Homework
Unit – 4th Quarter
Properties of Circles
1. How can you verify that a
segment is tangent to a circle?
2. How do you find the
measure of an arc of a circle?
3. How can you tell if two
Content/Vocabulary
Assessment
AZ Standards Addressed
1. Use Properties of Tangents
A. Vocabulary
1. circle
a. center
b. radius
c. diameter
2. chord
3. secant
4. tangent
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
1. Observation
A. Notebook Check
1. S4.C1.PO1
2. Find Arc Measures
A. Vocabulary
1. central angle
2. minor arc
3. major arc
4. semicircle
5. measure
a. minor arc
b. major arc
c. semicircle
6. congruent circles
7. congruent arcs
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
A. Notebook Check
3. Apply Properties of Chords
3. Observation
B. Notebook Check
C. Homework
2. S4.C1.PO1
B. Notebook Check
C. Homework
3. S4.C1.PO1
chords in a circle are
congruent?
A. Vocabulary
1. chord
2. arc
3. semicircle
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
A. Notebook Check
B. Notebook Check
C. Homework
Mid-Unit Assessment
(Instructor-Generated)
4. How do you find the
measure of an inscribed
angle?
5. How do you find the
measure of an angle formed
by two chords that intersect
inside a circle?
4. Use Inscribed Angles and Polygons
A. Vocabulary
1. inscribed angle
2. intercepted arc
3. inscribed polygon
4. circumscribed circle
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
4. Observation
A. Notebook Check
5. Apply Other Angle Relationships in
Circles
A. Vocabulary
1. chord
2. secant
3. tangent
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
5. Observation
4. S4.C1.PO1
B. Notebook Check
C. Homework
A. Notebook Check
B. Notebook Check
C. Homework
5. S4.C1.PO1
6. What are some properties
of chords, secants, and
tangents to a circle?
7. What do you need to know
to write the standard equation
of a circle?
6. Find Segment Lengths in Circles
A. Vocabulary
1. segments of a chord
2. secant segment
3. external segment
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
6. Observation
A. Notebook Check
7. Write and Graph Equations of Circles
A. Vocabulary
1. standard equation of a circle
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
7. Observation
A. Notebook Check
B. Notebook Check
C. Homework
B. Notebook Check
C. Homework
Unit Assessment
(Instructor-Generated)
Measuring Length and Area
1. How do you find the area
of a triangle and a
parallelogram?
2. How do you find the area
of a trapezoid, a kite, and a
6. S4.C1.PO1
1. Areas of Triangles and Parallelograms
A. Vocabulary
1. bases of a parallelogram
2. height of a parallelogram
3. area
4. perimeter
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
1. Observation
A. Notebook Check
2. Areas of Trapezoids, Rhombuses, and
Kites
2. Observation
B. Notebook Check
C. Homework
7. S4.C1.PO1
S4.C1.PO5
rhombus?
3. How is the ratio of the
areas to two similar polygons
related to the ratio of
corresponding sides?
A. Vocabulary
1. height of a trapezoid
2. diagonal
3. bases of a trapezoid
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
3. Perimeter and Area of Similar Figures
A. Vocabulary
1. regular polygon
2. corresponding sides
3. similar polygons
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
A. Notebook Check
B. Notebook Check
C. Homework
3. Observation
A. Notebook Check
3. S4.C4.PO4
B. Notebook Check
C. Homework
Mid-Unit Assessment
(Instructor-Generated)
4. How do you find the
length of an arc of a circle?
4. Circumference and Arc Length
A. Vocabulary
1. circumference
2. arc length
3. radius
4. diameter
5. measure of an arc
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
4. Observation
A. Notebook Check
B. Notebook Check
C. Homework
4. S4.C4.PO2
5. How do you find the area
of a sector of a circle?
6. How do you find the area
of a regular polygon?
7. How do you find the
probability that a point
randomly selected in a region
is in a particular part of that
region?
5. Areas of Circles and Sectors
A. Vocabulary
1. sector of a circle
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
5. Observation
A. Notebook Check
6. Areas of Regular Polygons
A. Vocabulary
1. center of a polygon
2. radius of a polygon
3. apothem of a polygon
4. central angle of a regular polygon
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
6. Observation
A. Notebook Check
7. Use Geometric Probability
A. Vocabulary
1. probability
2. geometric probability
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
7. Observation
A. Notebook Check
5. S4.C4.PO2
B. Notebook Check
C. Homework
B. Notebook Check
C. Homework
7. S2.C2.PO5
B. Notebook Check
C. Homework
Unit Assessment
(Instructor-Generated)
Surface Area and Volume of
Solids
1. When is a solid a
polyhedron?
1. Explore Solids
A. Vocabulary
1. Observation
A. Notebook Check
1. S4.C1.PO2
1. polyhedron
a. face
b. edge
c. vertex
2. base
3. regular polyhedron
4. convex polyhedron
5. Platonic solids
6. cross section
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. How do you find the
surface area of a prism and a
cylinder?
3. How do you find the
surface area of a pyramid and
a cone?
B. Notebook Check
C. Homework
2. Surface Area of Prisms and Cylinders
A. Vocabulary
1. prism
a. lateral faces
b. lateral edges
2. surface area
3. lateral area
4. net
5. right prism
6. oblique prism
7. cylinder
8. right cylinder
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
2. Observation
A. Notebook Check
3. Surface Area of Pyramids and Cones
A. Vocabulary
1. pyramid
3. Observation
A. Notebook Check
2. S4.C4.PO5
B. Notebook Check
C. Homework
3. S4.C4.PO5
2. vertex of a pyramid
3. regular pyramid
4. slant height
5. cone
6. vertex of a cone
7. right cone
8. lateral surface
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
B. Notebook Check
C. Homework
Unit Mini-Assessment
(Instructor-Generated)
4. How do you find the
volume of a right prism or a
right cylinder?
5. How do you find the
volume of a pyramid and a
cone?
6. How do you find the
4. Volume of Prisms and Cylinders
A. Vocabulary
1. volume
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
4. Observation
A. Notebook Check
5. Volume of Pyramids and Cones
A. Vocabulary
1. pyramid
2. cone
3. volume
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
5. Observation
A. Notebook Check
6. Surface Area and Volume of Spheres
6. Observation
4. S4.C4.PO5
B. Notebook Check
C. Homework
5. S4.C4.PO5
B. Notebook Check
C. Homework
6. S4.C4.PO5
surface area and volume of a
sphere?
7. What is the ratio of the
surface areas and volumes of
two similar solids?
A. Vocabulary
1. sphere
a. center
b. radius
c. chord
d. diameter
2. great circle
3. hemisphere
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
A. Notebook Check
7. Explore Similar Solids
A. Vocabulary
1. similar solids
B. Discussion
1. Lesson Notes
2. Activity
C. Guided/Independent Practice
7. Observation
A. Notebook Check
B. Notebook Check
C. Homework
B. Notebook Check
C. Homework
Unit Mini-Assessment
(Instructor-Generated)
7. S4.C4.PO4
The following standards are woven throughout the entire curriculum for geometry.
S1.C3.PO2
Use estimation to determine the reasonableness of a solution.
S3.C3.PO5
Solve linear equations and equations involving absolute value, with one variable.
S4.C1.PO3
Create and analyze inductive and deductive arguments concerning geometric ideas and
relationships.
S4.C1.PO4
Apply properties, theorems, and constructions about parallel lines, perpendicular lines, and angles to prove
theorems.
S4.C1.PO5
Explore Euclid’s five postulates in the plane and their limitations.
S5.C2.PO1
Analyze a problem situation, determine the question(s) to be answered, organize given information,
determine how to represent the problem, and identify implicit assumptions that have been made.
S5.C2.PO2
Solve problems by formulating one or more strategies, applying the strategies, verifying the solution(s), and
communicating the reasoning used to obtain the solution(s).
S5.C2.PO3
Evaluate a solution for reasonableness and interpret the meaning of the solution in the context of the original
problem.
S5.C2.PO4
Generalize a solution strategy for a single problem to a class of related problems; explain the role of
generalizations in inductive and deductive reasoning.
S5.C2.PO5
Summarize and communicate mathematical ideas using formal and informal reasoning.
S5.C2.PO6
Synthesize mathematical information from multiple sources to draw a conclusion, make inferences based on
mathematical information, evaluate the conclusions of others, analyze a mathematical argument, and
recognize flaws or gaps in reasoning.
S5.C2.PO12
Construct a simple formal deductive proof.
S5.C2.PO13
Identify and explain the roles played by definitions, postulates, propositions, and theorems in the logical
structure of mathematics, including Euclidean geometry.