Honors 1 Geometry
Scope and Sequence
NCTM Standards covered in this course:
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Compute fluently and make reasonable estimates
Understand patterns, relations, and functions
Use mathematical models to represent and understand quantitative
relationships
Analyze characteristics and properties of two- and three-dimensional
geometric shapes and develop mathematical arguments about
geometric relationships
Specify locations and describe spatial relationships using coordinate
geometry and other representational systems
Use visualization, spatial reasoning, and geometric modeling to solve
problems
Understand measurable attributes of objects and the units, systems,
and processes of measurement
Apply appropriate techniques, tools, and formulas to determine
measurements
Problem solving, reasoning and proof, communication, connections,
and representations are also addressed in this course.
Kentucky State Standards covered in this course:
 Problem solving
 Mathematical communication
 Mathematical connections
 Mathematical reasoning
 Proportional reasoning
 General relationships
 Relationships in triangles
 Quadrilateral relationships
 Other polygons and circles
 Congruence and similarity
 Measurements
 Coordinate geometry and transformations
Tools of Geometry – 8 days
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Points, Lines and Planes
Measuring Segments
Measuring Angles
Exploring Angle Pairs
Midpoint and Distance in the Coordinate Plane
Perimeter, Circumference, and Area
Reasoning and Proof – 6 days
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Patterns and Inductive Reasoning
Conditional Statements
Biconditionals and Definitions
Deductive Reasoning
Reasoning in Algebra and Geometry
Proving Angles Congruent
Parallel and Perpendicular Lines – 7 days
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Lines and Angles
Properties of Parallel Lines
Proving Lines Parallel
Parallel and Perpendicular Lines
Parallel Lines and Triangles
Congruent Triangles – 8 days
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Congruent Figures
Triangle Congruence by SSS and SAS
Triangle Congruence by ASA and AAS
Using Corresponding Parts of Congruent Triangles
Isosceles and Equilateral Triangles
Congruence in Overlapping Triangles
Relationships in Triangles – 3 days
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Midsegments of Triangles
Perpendicular and Angle Bisectors
Bisectors in Triangles
Medians and Altitudes
Inequalities in Triangles
Polygons and Quadrilaterals – 7 days
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The Polygon-Angle Sum Theorems
Properties of Parallelograms
Proving that a Quadrilateral is a Parallelogram
Properties of Rhombuses, Rectangles, and Squares
Conditions for Rhombuses, Rectangles, and Squares
Trapezoids and Kites
Similarity – 7 days
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Ratios and Proportions
Similar Polygons
Proving Triangles Similar
Similarity in Right Triangles
Proportions in Triangles
Right Triangles and Trigonometry – 7 days
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The Pythagorean Theorem and Its Converse
Special Right Triangles
Trigonometry
Angles of Elevation and Depression
Circles – 6 days
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Tangent Lines
Chords and Arcs
Inscribed Angles
Angles Measures and Segment Lengths
Areas – 6 days
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Areas of Parallelograms and Triangles
Areas of Trapezoids, Rhombuses, and Kites
Areas of Regular Polygons
Trigonometry and Area
Circles and Arcs
Areas of Circles and Sectors
Geometry Probability
Surface Area – 4 days
1. Surface Areas of Prisms and Cylinders
2. Surface Areas of Pyramids and Cones
3. Surface Areas Spheres
Volume – 4 days
1. Volumes of Prisms and Cylinders
2. Volumes of Pyramids and Cones
3. Volumes of Spheres
Outcomes for Honors 1 Geometry
1. Students will exhibit knowledge of and be able to explain the
relationships between basic geometric terms and key postulates.
2. Students will solve multiple step geometry problems that involve
integrating concepts, planning, visualization and making
connections with other content areas.
3. Students will analyze angles associated with parallel lines and their
properties.
4. Students will identify and classify triangles by various methods.
5. Students will test for and prove triangle congruence.
6. Students will apply their knowledge of ratio and proportion to
geometric figures.
7. Students will apply the Pythagorean Theorem.
8. Students will apply properties of special right triangles and will use
trigonometry to solve problems dealing with these special right
triangles.
9. Students will learn and apply the properties of quadrilaterals.
10.Students will learn parts of circle, and will be able to measure
angles and arcs of circles.
11.Students will be able to find perimeter, area and volume of
geometric figures.
12.Students will be able to apply concepts of geometry to everyday
life.
Revised August 2015