Download Scope Geo Hon FINAL - The School District of Palm Beach County

The School District of Palm Beach County
GEOMETRY HONORS
1st Quarter Scope
2010 - 2011
Benchmarks
Topic &
Suggested
Pacing
Student Target
Core
Tutorial
Support
AYP
Support
Geometric
Nets Game
MA.912.D.6.2
Introduction to
Angles Video
MA.912.G.1.1
Basic
Construction
Videos
(Worksheets
Included)
MA.912.G.1.3
Distance
Formula
Video
MA.912.G.2.2
Midpoint
Formula
Tutorial Video
MA.912.G.2.5
Curcumferen
ce Video
MA.912.G.3.3
Area and
Perimeter of a
Rectangle
Video
MA.912.G.6.5
Area and
Perimeter
Tutorial Video
MA.912.G.7.1
Biconditionals and Definitions
Next Generation Sunshine State Standards
Use truth tables to determine truth values of propositional
MA.912.D.6.1 statements.
2.2 Concept Byte
MA.912.D.6.2
MA.912.D.6.3
Find the converse, inverse, and contrapositive of a statement
2.2-2.3
Determine whether two propositions are logically equivalent.
2.2-2.3
August 17 October 14
Nets and
Drawings for
Visualizing
Geometry
Points, Lines,
and Planes
Measuring
Segments
Measuring
Angles
Use methods of direct and indirect proof and determine
MA.912.D.6.4 whether a short proof is logically valid.
2.4-2.6
Find the lengths and midpoints of line segments in two-
MA.912.G.1.1 dimensional coordinate systems.
Exploring Angle
Pairs
Basic
Constructions
1.3, 1.7
Midpoint and
Construct congruent segments and angles, angle bisectors,
Distance in the
and parallel and perpendicular lines using a straight edge and Coordinate Plane
MA.912.G.1.2 compass or a drawing program, explaining and justifying the
Perimeter,
process used.
Circumference
1.6, 3.6
and Area
Identify and use the relationships between special pairs of
MA.912.G.1.3 angles formed by parallel lines and transversals.
1.4-1.5, 3.2-3.4
Patterns and
Inductive
Reasoning
Determine the measures of interior and exterior angles of
Conditional
Statements
MA.912.G.2.2 polygons, justifying the method used.
1.4, 3.5
Logic and Truth
Tables
Deductive Reasoning
Pearson
Geometry
• Make nets and drawings of three-dimensional figures
Honors Gold
• Understand basic terms and postulates of geometry
Series
• Find and compare lengths of segments
• Find and compare the measures of angles
1.1
• Identify special angle pairs and use their relationships to find
1.2
angle measures
1.3
• Make basic constructions using a straightedge and a
1.4
compass
1.5
• Find the midpoint of a segment
1.6
• Find the distance between two points in the coordinate
1.7
plane
1.8
• Find the perimeter or circumference of basic shapes
2.1
• Find the area of basic shapes
2.2
• Use inductive reasoning to make conjectures
2.2
• Recognize conditional statements and their parts
Concept
• Write converses, inverses, and contrapositives of
Byte
conditionals
2.3
• Write biconditionals and recognize good definitions
2.4
• Use the Law of Detachment and the Law of Syllogism
2.5
• Connect reasoning in algebra and geometry
2.6
• Prove and apply theorems about angles
3.1
• Identify relationships between figures in space
3.2
• Identify angles formed by two lines and a transversal
3.3
• Prove theorems about parallel lines
3.4
• Use properties of parallel lines to find angle measures
3.5
• Determine whether two lines are parallel
3.6
• Relate parallel and perpendicular lines
3.7
• Use parallel lines to prove a theorem about triangles
3.8
• Find measures of angles of triangles
• Construct parallel lines
• Construct perpendicular lines
• Graph and write linear equations
Tables
Explain the derivation and apply formulas for perimeter and
MA.912.G.2.5 area of polygons (triangles, quadrilaterals, pentagons, etc.).
1.8
Use coordinate geometry to prove properties of congruent,
regular and similar polygons, and to perform transformations
MA.912.G.2.6
in the plane.
3.7-3.8
Use coordinate geometry to prove properties of congruent,
MA.912.G.3.3 regular, and similar quadrilaterals.
3.7-3.8
Classify, construct, and describe triangles that are right,
acute, obtuse, scalene, isosceles, equilateral, and
MA.912.G.4.1
equiangular.
1.6, 3.6
Define, identify, and construct altitudes, medians, angle
bisectors, perpendicular bisectors,orthocenter, centroid,
MA.912.G.4.2
incenter, and circumcenter.
1.5-1.6
Solve real-world problems using measures of circumference,
MA.912.G.6.5 arc length, and areas of circles and sectors.
1.8
Describe and make regular, non-regular, and oblique
polyhedra, and sketch the net for a given polyhedron and
MA.912.G.7.1
vice versa.
1.1
Describe the relationships between the faces, edges, and
MA.912.G.7.2 vertices of polyhedra.
3.1
Analyze the structure of Euclidean geometry as an axiomatic
system. Distinguish between undefined terms, definitions,
MA.912.G.8.1
postulates, and theorems.
1.2, 2.3, 2.6
Biconditionals
and Definitions
Deductive
Reasoning
Reasoning in
Algebra and
Geometry
Proving Angles
Congruent
• Graph and write linear equations
• Relate slope to parallel and perpendicular lines
Patterns and
Inductive
Reasoning
Conditional
Statement
Gizmo
Biconditional
Statement
Gizmo
Lines and Angles
Properties of
Parallel Lines
Inductive and
Deductive
Reasoning
Proving Lines
Parallel
Parallel and
Perpendicular
Lines
Parallel Lines
and Triangles
Constructing
Parallel and
Perpendicular
Lines
The Angle
Game Part 1
The Angle
Game Part 2
Angles of
Parallel Lines
Equations of
Lines in the
Coordinate Plane
Slopes of Parallel
and
Perpendicular
Lines
Parallel Lines
and Similar
and
Congruent
Triangles
Make conjectures with justifications about geometric ideas.
Distinguish between information that supports a conjecture
MA.912.G.8.4
and the proof of a conjecture.
2.1
Equations of
MA.912.G.8.4
Equations of
Parallel and
Perpendicular
Lines
Write geometric proofs, including proofs by contradiction
and proofs involving coordinate geometry. Use and compare
MA.912.G.8.5 a variety of ways to present deductive proofs, such as flow
charts, paragraphs, two-column, and indirect proofs.
2.5-2.6, 3.2-3.5
Perform basic constructions using straightedge and compass,
and/or drawing programs describing and justifying the
MA.912.G.8.6 procedures used. Distinguish between sketching,
constructing, and drawing geometric figures.
1.6
Slopes of
Parallel and
Perpendicular
Lines
Secondary Data-Driven Benchmark
Comprehension Check