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Transcript
The School District of Palm Beach County
INFORMAL GEOMETRY
2nd Quarter Scope
2010 - 2011
Benchmarks
Topic &
Suggested
Pacing
Next Generation Sunshine State Standards
October 18 December 17
Find the lengths and midpoints of line segments in twoMA.912.G.1.1 dimensional coordinate systems.
6.7
Proving Lines
Parallel
Slope
Classify, construct, and describe triangles that are
right, acute, obtuse, scalene, isosceles, equilateral, and
MA.912.G.4.1
equiangular.
5.1-5.2, 6.4
Define, identify, and construct altitudes, medians,
angle bisectors, perpendicular bisectors,orthocenter,
MA.912.G.4.2
centroid, incenter, and circumcenter.
6.1-6.3
Construct triangles congruent to given triangles.
MA.912.G.4.3
5.4-5.6
Writing Equations
of Lines
Classifying
Triangles
Angles of a Triangle
Geometry in Motion
Congruent
Triangles
SSS and SAS
ASA and AAS
Medians
Use properties of congruent and similar triangles to
MA.912.G.4.4 solve problems involving lengths and areas.
5.4-5.6
Prove that triangles are congruent or similar and use
the concept of corresponding parts of congruent
MA.912.G.4.6
triangles.
5.4-5.6
Altitudes and
Perpendicular
Bisectors
Angle Bisectors of
Triangles
Isosceles Triangles
Right Triangles
Student Target
I can…
• Identify conditions that produce parallel lines and construct
parallel lines
• Find the slopes of lines and use slope to identify parallel and
perpendicular lines
• Write and graph equations of lines
• Identify the parts of triangles and classify triangles by their
parts
• Use the Angle Sum Theorem
• Identify translations, reflections, and rotations and their
corresponding parts
• Identify corresponding parts of congruent triangles
• Use the SSS and SAS tests for congruence
• Use the ASA and AAS tests for congruence
• Identify and construct medians in triangles
• Identify and construct altitudes and perpendicular bisectors
in triangles
• Identify and use angle bisectors in triangles
• Identify and use properties of isosceles triangles
• Use tests for congruence of right triangles
• Use the Pythagorean Theorem and its converse
• Find the distance between two points on the coordinate
plane
• Apply inequalities to segment and angle measures
• Identify exterior angles and remote interior angles of a
triangle and use the Exterior Angle Theorem
• Identify the relationships between the sides and angles of a
triangle
• Identify and use the Triangle Inequality Theorem
Core
Tutorial
Support
AYP
Support
Geometry
Concepts and
Applications
Equations of
(Glencoe)
4.4
4.5
4.6
5.1
5.2
5.3
5.4
5.5
5.6
6.1
6.2
6.3
6.4
6.5
6.6
6.7
7.1
7.2
7.3
7.4
Parallel and
FCAT 1
Perpendicular Resource Page
Lines
Slopes of
Parallel and
Perpendicular
Lines
Chapter 4
Resources
Equation of a
Line Video
Chapter 5
Resources
Isosceles and
Equilateral
Triangles
Video
Chapter 6
Resources
Using
Isoceles and
Equilateral
Triangles
Video
Chapter 7
Resources
Congruent
and Similar
Triangle
Video
Apply the inequality theorems: triangle inequality,
MA.912.G.4.7 inequality in one triangle, and the Hinge Theorem.
The Pythagorean
Theorem
7.1-7.4
Prove and apply the Pythagorean Theorem and its
MA.912.G.5.1 converse.
6.6
MA.912.G.5.4
Solve real-world problems involving right triangles.
6.5
Distance on the
Coordinate Plane
Triangle
Proofs (ASA,
SAS, AAS,
SSS, or HL)
Segments, Angles,
and Inequalities
Exterior Angle
Theorem
Medians and
Altitudes
Video Lesson
Inequalities Within
a Triangle
Make conjectures with justifications about geometric
ideas. Distinguish between information that supports a Triangle Inequality
MA.912.G.8.4
Theorem
conjecture and the proof of a conjecture.
4.4-4.6
Perpendicular
and Angle
Bisectors
Video
Angle
Bisector
Bisector in
Triangles
Pythagorean
Theorem
Video
Intro to
Pythagorean
Theorem
Video
Distance
Formula
Video
Angle Sum
Theorem
Triangle
Inequality
Theorem and
Inequalities
for Two
Triangles
Triangle
Inequalities
Secondary Data-Driven Benchmark
Comprehension Check