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

The School District of Palm Beach County
GEOMETRY REGULAR
2nd Quarter Scope
2010 - 2011
Benchmarks
Topic &
Suggested
Pacing
Next Generation Sunshine State Standards
Use methods of direct and indirect proof and determine
MA.912.D.6.4 whether a short proof is logically valid.
5.5
Find the lengths and midpoints of line segments in two-
MA.912.G.1.1 dimensional coordinate systems.
5.1, 5.3
October 18 December 17
Congruent
Figures
Triangle
Congruence by
SSS and SAS
Identify and describe convex, concave, regular, and irregular
MA.912.G.2.1 polygons.
6.1
Triangle
Congruence by
ASA and AAS
Determine the measures of interior and exterior angles of
MA.912.G.2.2 polygons, justifying the method used.
6.1
Using
Corresponding
Parts of
Congruent
Triangles
Use properties of congruent and similar polygons to solve
MA.912.G.2.3 mathematical or real-world problems.
4.4
Isosceles and
Equilateral
Triangles
Congruence in
Right Triangles
Apply transformations (translations, reflections, rotations,
dilations, and scale factors) to polygons. to determine
Congruence in
Overlapping
congruence, similarity, and symmetry. Know that images
Triangles
MA.912.G.2.4 formed by translations, reflections, and rotations are
congruent to the original shape. Create and verify tessellations Midsegments of
of the plane using polygons.
Triangles
4.1
Perpendicular
Student Target
I can…
• Recognize congruent figures and their corresponding
parts
• Prove two triangles congruent using the SSS and SAS
Postulates
• Prove two triangles congruent using the ASA Postulate
• Prove two triangles congruent using the AAS Theorem
• Use triangle congruence and corresponding parts of
congruent triangles to prove that parts of two triangles
are congruent
• Use and apply properties of isosceles and equilateral
triangles
• Prove right triangles congruent using the HypotenuseLeg Theorem
• Identify congruent overlapping triangles
• Prove two triangles congruent using other congruent
triangles
• Use properties of midsegments to solve problems
• Use properties of perpendicular bisectors and angle
bisectors
• Identify properties of perpendicular bisectors
• Identify properties of angle bisectors
• Identify properties of medians and altitudes of a triangle
• Identify the orthocenter of a triangle
• Use indirect reasoning to write proofs
• Use inequalities involving angles and sides of triangles
• Apply inequalities in two triangles
• Find the sum of the measures of the interior angles of a
polygon
Core
Tutorial
Support
AYP
Support
Pearson
Geometry
4.1
4.2
4.3
4.4
4.5
4.6
4.7
5.1
5.2
5.3
5.4
5.5
5.6
5.7
6.1
6.2
6.3
6.4
6.5
6.6
Triangle
Proofs (ASA,
SAS, AAS,
SSS, or HL)
MA.912.G.1.1
MA.912.G.2.2
CPCTC
Video
MA.912.G.2.3
Congruent
and Similar
Triangle
Video
MA.912.G.2.4
Isosceles and
Equilateral
Triangles
Video
MA.912.G.3.4
Using
Isoceles and
Equilateral
Triangles
Video
MA.912.G.4.6
Describe, classify, and compare relationships among
quadrilaterals including the square, rectangle, rhombus,
MA.912.G.3.1
parallelogram, trapezoid, and kite.
6.2-6.6
Compare and contrast special quadrilaterals on the basis of
MA.912.G.3.2 their properties.
6.4-6.6
MA.912.G.3.4
Prove theorems involving quadrilaterals.
6.2-6.6
Classify, construct, and describe triangles that are right, acute,
MA.912.G.4.1 obtuse, scalene, isosceles, equilateral, and equiangular.
polygon
• Find the sum of the measures of the exterior angles of a
polygon
• Use relationships among sides and angles of
Bisectors in
parallelograms
Triangles
• Use relationships among diagonals of parallelograms
Medians and • Determine whether a quadrilateral is a parallelogram
Altitudes
• Define and classify special types of parallelograms
Indirect Proof • Use properties of diagonals of rhombuses and rectangles
• Determine whether a parallelogram is a rhombus or
Inequalities in rectangle
One Triangle • Verify and use properties of trapezoids
• Verify and use properties of kites
Perpendicular
and Angle
Bisectors
Inequalities in
Two Triangles
4.5
Define, identify, and construct altitudes, medians, angle
bisectors, perpendicular bisectors,orthocenter, centroid,
MA.912.G.4.2
incenter, and circumcenter.
5.2-5.4
MA.912.G.4.3
Construct triangles congruent to given triangles.
4.2-4.3
The Polygon Angle Sum
Theorems
Properties of
Parallelograms
Proving That a
Quadrilateral Is
a Parallelogram
Use properties of congruent and similar triangles to solve
MA.912.G.4.4 problems involving lengths and areas.
4.4
MA.912.G.4.5
Apply theorems involving segments divided proportionally.
5.1, 5.4, 6.2
Prove that triangles are congruent or similar and use the
Properties of
Rhombuses,
Rectangles, and
Squares
Conditions for
Rhombuses,
Rectangles, and
Squares
MA.912.G.4.6 concept of corresponding parts of congruent triangles.
4.1-4.4, 4.6-4.7
Apply the inequality theorems: triangle inequality, inequality in
MA.912.G.4.7 one triangle, and the Hinge Theorem.
Trapezoids and
Kites
Overlapping
Triangles
Midsegment
of a Triangle
Video Lesson
Angle
Bisector
Perpendicular
and Angle
Bisectors
Video
Bisector in
Triangles
Medians and
Altitudes
Video Lesson
Indirect Proof
Triangle
Inequality
Theorem and
Inequalities
for Two
Triangles
5.6-5.7
MA.912.G.5.4
Solve real-world problems involving right triangles.
4.6
Angle Sum
Theorem
MA.912.G.4.7
MA.912.G.5.4
Write geometric proofs, including proofs by contradiction and
proofs involving coordinate geometry. Use and compare a
MA.912.G.8.5 variety of ways to present deductive proofs, such as flow
charts, paragraphs, two-column, and indirect proofs.
5.5, 6.2-6.3
The
Properties of
a
Parallelogram
Theorems
Dealing with
Parallelogram
s
The Types
and
Properties of
Quadrilaterals
Secondary Data-Driven Benchmark
Comprehension Check