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Topic & Suggested
PacingStudent Target Core
MAFS.912.G-CO.1.1
Calculator: Neutral
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the
undefined notions of point, line, distance along a line, and distance around a circular arc.
1.1, 1.2, 1.4, 1.5
MAFS.912.G-CO.4.12
Calculator: Neutral
Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string,
reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle;
bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of
a line segment; and constructing a line parallel to a given line through a point not on the line.
1.4
MAFS.912.G-GPE.2.7
Calculator: Neutral
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the
distance formula.
1.2, 1.3, 1.4
MAFS.912.G-MG.1.1
Calculator: Neutral
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a
human torso as a cylinder).
1.6
• name and sketch geometric
figures
• use segment posulates to identify
congruent segments
• find lengths of segments in the
coordinate plane
• copy and bisect segments and
angles using construction tools
• use special angle relationships to
find angle measures
• classify polygons
• name, measure, and classify
angles
FSQ Unit A
August 18 - August 28
Identify Points, Lines, and Planes
Use Segments and Congruence
Use Midpoint and Distance
Formulas
Measure and Classify Angles
Measure and Classify Angles
Constructions
Describe Angle Pair Relationships
Classify Polygons
Larson
Geometry
1.1
1.2
1.3
1.4 &
Constructions
1.5
1.6
The School District of Palm Beach County
GEOMETRY HONORS
Unit A: Essentials of Geometry
2015 - 2016
Standards
Mathematics Florida Standards
G-CO Geometry - Congruence G-GPE Geometry – Expressing Geometric Properties with EquationsG-MG Geometry – Modeling GeometryG-GMD Geometry – Geometry Measurement & Dimension
Copyright © 2015 by School Board of Palm Beach County, Department of Secondary Education
Topic & Suggested
PacingStudent Target Core
MAFS.912.G-CO.1.1
Calculator: Neutral
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the
undefined notions of point, line, distance along a line, and distance around a circular arc.
2.2
MAFS.912.G-CO.3.9
Calculator: Neutral
Prove theorems about lines and angles; use theorems about lines and angles to solve problems. Theorems
include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are
congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are
exactly those equidistant from the segment’s endpoints.
2.2, 2.4, 2.5, 2.6, 2.7
FSQ Unit B
• write definitions as conditional
statements
• use postulates involving points,
lines, and planes
• use algebraic properties in logical
arguments
• write proofs using geometric
theorems
• use properties of special pairs of
angles
Standards
Mathematics Florida StandardsAugust 31 - September 9
Analyze Conditional Statements
Use Postulates and Diagrams
Reason Using Properties from
Algebra
Prove Statements about Segments
and Angles
Prove Angle Pair Relationships
Larson
Geometry
2.2
2.4
2.5
2.6
2.7
The School District of Palm Beach County
GEOMETRY HONORS
Unit B: Reasoning and Proof
2015 - 2016 G-CO Geometry - Congruence
Copyright © 2015 by School Board of Palm Beach County, Department of Secondary Education
Topic & Suggested
PacingStudent Target Core
MAFS.912.G-CO.1.1
Calculator: Neutral
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the
undefined notions of point, line, distance along a line, and distance around a circular arc.
3.1
MAFS.912.G-CO.3.9
Calculator: Neutral
Prove theorems about lines and angles; use theorems about lines and angles to solve problems. Theorems
include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are
congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are
exactly those equidistant from the segment’s endpoints.
3.1, 3.2, 3.3, 3.6
MAFS.912.G-CO.4.12
Calculator: Neutral
Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string,
reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle;
bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of
a line segment; and constructing a line parallel to a given line through a point not on the line.
3.6
MAFS.912.G-GPE.2.5
Calculator: Neutral
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find
the equation of a line parallel or perpendicular to a given line that passes through a given point).
3.4, 3.5
USA Unit A, B, C
• identify angle pairs formed by
three intersecting lines
• use angles formed by parallel lines
and transversals
• use angle relationships to prove
that lines are parallel
• find and compare slopes of lines
• find equations of lines
• find the distance between a point
and a line
• construct parallel and
perpendicular lines
The School District of Palm Beach County
GEOMETRY HONORS
Unit C: Parallel and Perpendicular Lines
2015 - 2016
Standards
Mathematics Florida StandardsSeptember 10 - September 29
Identify Pairs of Lines and Angles
Use Parallel Lines & Transversals
Prove Lines are Parallel
Find and Use Slopes of Lines
Write and Graph Equations of
Lines
Prove Theorems About
Perpendicular Lines
Prove Theorems About
Perpendicular Lines
(Constructions)
Larson
Geometry
3.1
3.2
3.3
3.4
3.5
3.6 &
Constructions
G-CO Geometry - Congruence G-GPE Geometry – Expressing Geometric Properties with Equations
Copyright © 2015 by School Board of Palm Beach County, Department of Secondary Education
Topic & Suggested
PacingStudent Target Core
MAFS.912.G-CO.1.2
Calculator: Neutral
Represent transformations in the plane using, e.g., transparencies and geometry software; describe
transformations as functions that take points in the plane as inputs and give other points as outputs. Compare
transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal
stretch).
4.3, 4.9
MAFS.912.G-CO.1.5
Calculator: Neutral
Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g.,
graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given
figure onto another.
4.9
MAFS.912.G-CO.2.6
Calculator: Neutral
Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion
on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they
are congruent.
4.3, 4.9
MAFS.912.G-CO.2.7
Calculator: Neutral
Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only
if corresponding pairs of sides and corresponding pairs of angles are congruent.
4.2, 4.3 *Not included on district assessment FSQ Unit D. Standard will be assessed on USA Unit D, E, F.
MAFS.912.G-CO.2.8
Calculator: Neutral
Explain how the criteria for triangle congruence (ASA, SAS, SSS, and Hypotenuse Leg) follow from the definition
of congruence in terms of rigid motions.
4.4, 4.5, 4.6, 4.7
MAFS.912.G-CO.3.10
Calculator: Neutral
Prove theorems about triangles; use theorems about triangles to solve problems. Theorems include: measures
of interior angles of a triangle sum to 180°; triangle inequaliy theorem; base angles of isosceles triangles are
congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the
length; the medians of a triangle meet at a point.
4.1., 4.4, 4.5, 4.6, 4.7, 4.8
• classify triangles and find
measures of their angles
• identify congruent figures
• use transformations t show
congruence
• use the sides lengths to prove
triangles congruent
• use sides and angles to prove
congruence
• prove congruence through ASA
and AAS
• use congruent triangles to prove
corresponding parts congruent
• use theorems about isosceles and
equilateral triangles
• create an image congruent to a
given triangle
FSQ Unit D
The School District of Palm Beach County
GEOMETRY HONORS
Unit D: Congruent Triangles
2015 - 2016
Standards
Mathematics Florida StandardsOctober 5 - October 22
Apply Triangle Sum Properties
Apply Congruence and Triangles
Relate Transformations &
Congruence
Prove Triangles Congruent by SSS
Prove Triangles Congruent by SAS
& HL
Prove Triangles Congruent by ASA
and AAS
Use Congruent Triangles
Use Isosceles and Equilateral
Triangles
Perform Congruence
Transformations
Larson
Geometry
4.1
4.2
4.3
4.4
4.5
4.6
4.7
4.8
4.9
G-CO Geometry - Congruence
Copyright © 2015 by School Board of Palm Beach County, Department of Secondary Education
Topic & Suggested
PacingStudent Target Core
MAFS.912.G-CO.3.9
Calculator: Neutral
Prove theorems about lines and angles; use theorems about lines and angles to solve problems. Theorems
include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are
congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are
exactly those equidistant from the segment’s endpoints.
5.2
MAFS.912.G-CO.3.10
Calculator: Neutral
Prove theorems about triangles; use theorems about triangles to solve problems. Theorems include: measures
of interior angles of a triangle sum to 180°; triangle inequaliy theorem; base angles of isosceles triangles are
congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the
length; the medians of a triangle meet at a point.
5.1, 5.3, 5.4, 5.6
MAFS.912.G-GPE.2.4
Calculator: Neutral
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure
defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, ) lies on
the circle centered at the origin and containing the point (0, 2).
5.1
FSQ Unit E
• use properties of midsegments
and write coordinate proofs
• use perpendicular bisectors to
solve problems
• use angle bisectors to find
distance relationships
• use medians and altitudes of
triangles
• find possbile side lengths of
triangles
• use inequalities to make
comparisons in two triangles
The School District of Palm Beach County
GEOMETRY HONORS
Unit E: Relationships within Triangles
2015 - 2016
Standards
Mathematics Florida StandardsOctober 26 – November 6
Midsegment Theorem and
Coordinate Proof
Use Perpendicular Bisectors
Use Angle Bisectors of Triangles
Use Medians and Altitudes
Use Inequalities in a Triangle
Inequalities in Two Triangles and
Indirect Proof
Larson
Geometry
5.1
5.2
5.3
5.4
5.6
G-CO Geometry - CongruenceG-GPE Geometry – Expressing Geometric Properties with Equations
Copyright © 2015 by School Board of Palm Beach County, Department of Secondary Education
Topic & Suggested
PacingStudent Target Core
MAFS.912.G-C.1.1
Calculator: Neutral
Prove that all circles are similar.
6.2
MAFS.912.G-CO.1.2
Calculator: Neutral
Represent transformations in the plane using, e.g., transparencies and geometry software; describe
transformations as functions that take points in the plane as inputs and give other points as outputs. Compare
transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal
stretch).
6.6 *Not included on district assessment for this unit. Standard will be assessed elsewhere as appropriate.
MAFS.912.G-GPE.2.4
Calculator: Neutral
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure
defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, ) lies on
the circle centered at the origin and containing the point (0, 2).
6.6
MAFS.912.G-GPE.2.6
Calculator: Neutral
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
6.5, 6.6 Extension
MAFS.912.G-MG.1.3
Calculator: Neutral
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical
constraints or minimize cost; working with typographic grid systems based on ratios).
6.5
MAFS.912.G-SRT.1.1
Calculator: Neutral
Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing
through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
6.2, 6.6
MAFS.912.G-SRT.1.2
Calculator: Neutral
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are
similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all
corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
6.2 *Not included on district assessment for this unit. Standard will be assessed elsewhere as appropriate.
MAFS.912.G-SRT.1.3
Calculator: Neutral
Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
6.3
MAFS.912.G-SRT.2.4
Calculator: Neutral
Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two
proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
6.4, 6.5 *Not included on district assessment for this unit. Standard will be assessed elsewhere as
appropriate.
MAFS.912.G-SRT.2.5
Calculator: Neutral
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric
figures.
6.1, 6.5
USA Unit E, F
• use proportions to identify similar
polygons
• identify similarity transformations
called dilations
• explain what it means for two
figures to be similar
• use the AA Similarity Posulate to
show two triangles similar
• use the SSS and SAS Similarity
Theorems to show to triangle
similar
• use proprotions with a triangle or
parallel lines
• perform dilations
• find a point on a directed line
segment that partitions the
segment in a given ratio
The School District of Palm Beach County
GEOMETRY HONORS
Unit F: Similarity
2015 - 2016
Standards
November 9 – November 24
Use Similar Polygons
Relate Transformations and
Similarity
Prove Triangles Similar by AA
Prove Triangles Similar by SSS and
SAS
Use Proportionality Theorems
Perform Similarity
Transformations
Partition Segments
Mathematics Florida Standards
Larson
Geometry
6.1
6.2
6.3
6.4
6.5
6.66.6 Extension
Blender
Supplmental
Lessons
OCG 5-3
OGC 8-3
G-CO Geometry - CongruenceG-GPE Geometry – Expressing Geometric Properties with EquationsG-MG Geometry - Modeling Geometry
Copyright © 2015 by School Board of Palm Beach County, Department of Secondary Education
Topic & Suggested
PacingStudent Target Core
MAFS.912.G-MG.1.1
Calculator: Neutral
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a
human torso as a cylinder).
7.3 *Not included on district assessment for this unit. Standard will be assessed elsewhere as appropriate.
MAFS.912.G-SRT.2.4
Calculator: Neutral
Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two
proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
7.1, 7.3
MAFS.912.G-SRT.2.5
Calculator: Neutral
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric
figures.
7.3
MAFS.912.G-SRT.3.6
Calculator: Neutral
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to
definitions of trigonometric ratios for acute angles.
7.4, 7.5
MAFS.912.G-SRT.3.7
Calculator: Neutral
Explain and use the relationship between the sine and cosine of complementary angles.
7.6
MAFS.912.G-SRT.3.8
Calculator: Neutral
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
7.1, 7.2, 7.5, 7.6, 7.7
MAFS.912.G-SRT.4.10
Calculator: Neutral
Prove the Laws of Sines and Cosines and use them to solve problems.
7.7 Extension *Not included on district assessment for this unit.
MAFS.912.G-SRT.4.11
Calculator: Neutral
Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in
right and non-right triangles (e.g., surveying problems, resultant forces).
7.7 Extension *Not included on district assessment for this unit.
• use the Pythagorean Theoerm to
find the side lengths in right
triangles
• use the converse of the
Pythagorean Theorem to determine
if a triangle is a right triangle
• use properties of the altitude of a
right triangle
• use the relationships among the
sides in special right triangles
• use the tangent ratio for indirect
measurment
• use the sine and cosine ratios
• explain the relationships between
the sine and cosine of
complementary angles
• use the inverse tangent, sine, and
cosine ratios
• use trigonometry with acute and
obtuse triangles
FSQ Unit G
The School District of Palm Beach County
GEOMETRY HONORS
Unit G: Right Triangles and Trigonometry
2015 - 2016
Standards
January 5 – January 20
Apply the Pythagorean Theorem
Use the Converse of the
Pythagorean Theorem
Use Similar Right Triangles
Special Right Triangles
Apply the Tangent Ratio
Apply the Sine and Cosine Ratios
Trig Ratios of Complementary
Angles
Solve Right Triangles
Law of Sines and Cosines
Larson
Geometry
7.1
7.2
7.3
7.4
7.5
7.67.6 Additional
Lesson AL 2 - 3
7.77.7 Extension
Mathematics Florida Standards
G-GPE Geometry – Expressing Geometric Properties with EquationsG-MG Geometry - Modeling Geometry
Copyright © 2015 by School Board of Palm Beach County, Department of Secondary Education
Topic & Suggested
PacingStudent Target Core
MAFS.912.G-CO.3.11
Calculator: Neutral
Prove theorems about parallelograms; use theorems about parallelograms to solve problems. Theorems
include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect
each other, and conversely, rectangles are parallelograms with congruent diagonals.
8.2, 8.3, 8.4, 8.6
MAFS.912.G-GPE.2.4
Calculator: Neutral
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure
defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, ) lies on
the circle centered at the origin and containing the point (0, 2).
8.5
MAFS.912.G-GPE.2.7
Calculator: Neutral
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the
distance formula.
8.4 *Not included on district assessment for this unit. Standard will be assessed elsewhere as appropriate.
MAFS.912.G-MG.1.1
Calculator: Neutral
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a
human torso as a cylinder).
8.1 *Not included on district assessment for this unit. Standard will be assessed elsewhere as appropriate.
MAFS.912.G-SRT.2.5
Calculator: Neutral
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric
figures.
8.2, 8.3, 8.4, 8.5 *Not included on district assessment for this unit. Standard will be assessed elsewhere as
appropriate.
• find angle measures in polygons
• find angle and side measures in
parallelograms
• know the diagonal properties in
parallelograms
• use properties to identify
parallelgrams
• use properties of rhombuses,
rectangles, and squares
• use the properties of trapezoids
and kites
• identify special quadrilaterals
Mathematics Florida Standards
FSQ Unit H
January 21 – February 5
Find Angle Measures in Polygons
Use Properties of Parallelograms
Sides and Angles of Parallelograms
Show that a Quadrilateral is a
Parallelogram
Properties of Rhombuses, Rec-
tangles, and Squares
Special Parallelograms
Use Properties of Trapezoids and
Kites
Identify Special Quadrilaterals
Larson
Geometry
8.1
8.2
8.3
8.4
8.5
8.6
Blender
Supplemental
Lessons
8.2 Part 2
OCG 4-2 & 3
8.4 Part 2
OCG 4-5
The School District of Palm Beach County
GEOMETRY HONORS
Unit H: Quadrilateral
2015 - 2016
Standards
G-CO Geometry - CongruenceG-GPE Geometry – Expressing Geometric Properties with EquationsG-MG Geometry - Modeling Geometry
Copyright © 2015 by School Board of Palm Beach County, Department of Secondary Education
Topic & Suggested
PacingStudent Target Core
MAFS.912.G-CO.1.2
Calculator: Neutral
Represent transformations in the plane using, e.g., transparencies and geometry software; describe
transformations as functions that take points in the plane as inputs and give other points as outputs. Compare
transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal
stretch).
9.3, 9.5, 9.7
MAFS.912.G-CO.1.3
Calculator: Neutral
Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry
it onto itself.
9.6
MAFS.912.G-CO.1.4
Calculator: Neutral
Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines,
parallel lines, and line segments.
9.1, 9.3, 9.4
MAFS.912.G-CO.1.5
Calculator: Neutral
Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g.,
graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given
figure onto another.
9.1, 9.3, 9.4, 9.5, 9.6, 9.7
MAFS.912.G-SRT.1.1
Calculator: Neutral
Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing
through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
9.7 *Not included on district assessment for this unit. Standard will be assessed elsewhere as appropriate.
MAFS.912.G-SRT.1.2
Calculator: Neutral
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are
similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all
corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
9.7
USA Unit G, H, I
The School District of Palm Beach County
GEOMETRY HONORS
Unit I: Properties of Transformations
2015 - 2016
Standards
Mathematics Florida Standards• use a vector to translate a figure
• reflect a figure in any given line
• rotate figures about a point
• carry a polygon onto itself through
rotations and reflections
• perform combinations of two or
more transformations
• identify line and rotational
symmetries of a figure
• use drawing tools to draw
dilations
Larson
Geometry
9.1
9.3
9.4
9.5
9.6
9.7
Blender
Supplemental
Lessons
Supplement
Rotations &
Reflections
February 8 – February 22
Translate Figures and Use Vectors
Perform Reflections
Perform Rotations
Rotations & Reflections - Carry a
Polygom onto Itself
Apply Compositions of
Transformations
Identify Symmetry
Identify and Perform Dilations
G-CO Geometry - Congruence
Copyright © 2015 by School Board of Palm Beach County, Department of Secondary Education
Topic & Suggested
PacingStudent Target Core
MAFS.912.G-C.1.2
Calculator: Neutral
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between
central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a
circle is perpendicular to the tangent where the radius intersects the circle.
10.1, 10.3, 10.4, 10.5, 10.6
MAFS.912.G-C.1.3
Calculator: Neutral
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral
inscribed in a circle.
10.3, 10.4, 10.6 Part 2
MAFS.912.G-C.2.5
Calculator: Neutral
Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius,
and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of
a sector.
10.4, 10.5 *Not included on district assessment FSQ Unit J. Standard will be assessed on USA Unit J, K.
MAFS.912.G-CO.1.1
Calculator: Neutral
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the
undefined notions of point, line, distance along a line, and distance around a circular arc.
10.1, 10.2
MAFS.912.G-CO.1.2
Calculator: Neutral
Represent transformations in the plane using, e.g., transparencies and geometry software; describe
transformations as functions that take points in the plane as inputs and give other points as outputs. Compare
transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal
stretch).
10.1 *Not included on district assessment for this unit. Standard will be assessed elsewhere as appropriate.
MAFS.912.G-CO.4.12
Calculator: Neutral
Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string,
reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle;
bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of
a line segment; and constructing a line parallel to a given line through a point not on the line.
10.3 *Not included on district assessment for this unit. Standard will be assessed elsewhere as appropriate.
MAFS.912.G-CO.4.13
Calculator: Neutral
Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
10.4, 10.6 Part 2
MAFS.912.G-GPE.1.1
Calculator: Neutral
Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square
to find the center and radius of a circle given by an equation.
10.7
MAFS.912.G-GPE.1.2
Calculator: Neutral
Derive the equations of ellipses and hyperbolas given the foci and directrices.10.7 Part 2 AL 14 - 17 *Honors only. Not included on district assessment for this unit.
• use properties of a tangent to a
circle
• use angle measures to find arc
measures
• use relationships of arcs and
chords in a circle
• use inscribed angles of circles
• find the measures of angles
interior and exterior a circle
• construct equilateral triangle,
regular hexagon, square in a circle
• find segment lengths in circles
• construct a circle that
circumscribes a triangle
• write equations of circles in the
coordinate plane
• explain how the Pythagorean
Theorem can be used to derive the
equation of a circle
• write the equation of a parabola
given a focus and directrx
FSQ Unit J
February 29 – March 16
Use Properties of Tangents
Find Arc Measures
Apply Properties of Chords
Use Inscribed Angles and Polygons
Use Inscribed Angles and
Polygons(Constructions)
Apply Other Angle Relationships in
Circles
Find Segment Lengths in Circles
Constructing Circumscribed Circles
Write and Graph Equations of
Circles
Equation of a Parabola
Larson
Geometry
10.1
10.2
10.3
10.4 &
Constructions
10.5
10.6
10.7AL 14 - 17
Blender
Supplemental
Lessons
10.6 Part 2
OCG 7-2, 7-
3, 7-6
Standards
The School District of Palm Beach County
GEOMETRY HONORS
Unit J: Properties of Circles
2015 - 2016
Mathematics Florida Standards
G-C Geometry - CirclesG-CO Geometry - CongruenceG-GPE Geometry – Expressing Geometric Properties
Copyright © 2015 by School Board of Palm Beach County, Department of Secondary Education
Topic & Suggested
PacingStudent Target Core
MAFS.912.G-C.2.5
Calculator: Neutral
Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius,
and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of
a sector.
11.1, 11.1 Extension, 11.2
MAFS.912.G-CO.4.13 Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
11.3
MAFS.912.G-GMD.1.1
Calculator: Neutral
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a
cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
11.1, 11.7
MAFS.912.G-GMD.1.3
Calculator: Neutral
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
11.6, 11.7, 11.8, 11.9
MAFS.912.G-GMD.2.4
Calculator: Neutral
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-
dimensional objects generated by rotations of two-dimensional objects.
11.5, 11.7 Extension
MAFS.912.G-MG.1.2
Calculator: Neutral
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs
per cubic foot).
11.6 Extension
MAFS.912.G-MG.1.3
Calculator: Neutral
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical
constraints or minimize cost; working with typographic grid systems based on ratios).
11.7 *Not included on district assessment for this unit. Standard will be assessed elsewhere as appropriate.
MAFS.912.G-SRT.3.8
Calculator: Neutral
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
11.3 *Not included on district assessment for this unit. Standard will be assessed elsewhere as appropriate.
USA Unit J, K
• find arc lengths and other
measures
• find the radian measure of an
angle
• find the areas of circles and
sectors
• fine the areas of regular polygons
inscribed in circles
• identify solids
• find the volume of prisms and
cylinders
• use density to solve problems
• find the volume of pyramids and
cones
• describe solids produced by
rotating two-dimensional firgures
around an axis in space
• find the surface area and volume
of spheres
• use properties of similar solids
Standards
Mathematics Florida StandardsMarch 28 – April 11
Circumference and Arc Length
Measure Angles in Radians
Areas of Circles and Sectors
Areas of Regular Polygons
Explore Solids
Volume of Prisms and Cylinders
Density
Volume of Pyramids and Cones
Solids of Revolution
Surface Area and Volume of
Spheres
Similar Solids
Larson
Geometry
11.111.1 Extension
11.2
11.3
11.4
11.5
11.611.6 Extension
11.7
11.8
11.9
Blender
Supplemental
Lessons
OCA2 8-1
The School District of Palm Beach County
GEOMETRY HONORS
Unit K: Measurement of Figures and Solids
2015 - 2016
G-C Geometry - CirclesG-CO Geometry - CongruenceG-GMD Geometry - Geometry Measurement & DimensionG-MG Geometry - Modeling GeometryG-SRT Geometry - G-SRT Geometry -
Copyright © 2015 by School Board of Palm Beach County, Department of Secondary Education
Topic & Suggested
PacingStudent Target Core
MAFS.912.G-GPE.1.3 Derive the equations of ellipses and hyperbolas given the foci and directrices.
Supplement
Post Assessment • derive the equation of ellipses and
hyperbolas given a focus and
directrx
Supplement
Standards
The School District of Palm Beach County
GEOMETRY HONORS
Unit L: Post Assessment Content
2015 - 2016
Copyright © 2015 by School Board of Palm Beach County, Department of Secondary Education