Accelerated Geometry Curriculum Map
Course Understandings
Essential Questions
Students will understand:
Basic terms of Geometry.
Use properties of parallel
and perpendicular lines.
How to prove lines are
parallel.
How to prove triangles are
congruent.
How are the basic terms of
Geometry used to make
theorems and postulates?
What are the steps used in
writing a two column proof?
How do you use the ideas of
direct and indirect proof,
and counter-examples to
verify valid conjectures and
refute invalid conjectures?
Students will understand:
How to prove right
triangles are congruent.
Use properties of
quadrilaterals.
Prove and use properties
of similar figures.
Use right triangle
relationships.
What are the 4 ways to
prove triangles congruent
and the 4 ways to prove
right triangles are
congruent?
How to use CPCTC in
proofs?
What are the definitions and
properties of special
quadrilaterals?
How to apply Pythagorean
theorem to problem solving
situations?
Students will understand:
Use properties of circles
and parts of circles.
Find perimeter and area.
Find surface area and
volume.
What are inscribed and central
angels of a circle and how to
use theorems and properties to
find measures of arcs and
angles.
How can a change in one
measurement of a 2- or 3dimensional figure effect other
measurements such as
perimeter, area, surface area or
volume of that figure?
Assessments
First Quarter
Formative Assessments:
Test on Basic Geometry terms Ch 1
Test on Properties of Perpendicular lines
and parallel lines Ch 2
Test on how to prove lines are parallel
Ch3
Test on proving triangles are congruent.
Course Knowledge/Skills
Benchmark Test:
Study Island Benchmark PSSA test
2.3.G.C G.2.2.1 Use and/or compare measurements of
angles.
2.9.G.A G1.2.1 Recongnize an/or apply properties of
angles,polygons, and polyhedra.
2.9.G.C G1.3.1 Use properties of congruence,
correspondence, similarity in problem solving settings
including 2- and 3-dimensional figures.
2.4.G.A G1.3.2 Write formal proofs and/or use logic
statements to construct or validate arguments.
Second Quarter
Formative Assessments:
Test on how to prove right triangles are
congruent ch4.
Test on properties of quadrilaterals ch5
Test on similar figures with ratios and
proportions. Ch 7
Test on Right triangles Ch 8
2.9.G.B G1.3.1 Use properties of congruence,
correspondence, similarity in problem solving settings
including 2- and 3-dimensional figures.
2.9.G.A G1.2.1 Recongnize an/or apply properties of
angles,polygons, and polyhedra.
2.10.G.A G.2.1.1 Solve Problems involving right triangles
Summative Assessment:
Mid Term Exam Chapters 1-8
Third Quarter
Formative Assessments:
Test on right triangles including trig
ratios. Ch 8
Test on properties of circles and parts of
circles Ch 9
Test on finding perimeter,circumference,
and area of 2-d figures Ch 11
Test on find surface area and volume of
2.9.G.A G.1.1.1 identify and/or use parts of a circle and
segments associated with circles, spheres, and cylinders.
2.11.G.C and 2.3.G.C G.2.2.2 Use and/or develop
procedures to determine or describe measures of perimeter,
circumference, ,and/or area.
2.3.G.E G.2.2.3 Describe how a change in one dimension of a
2-d figure affects other measurements of that figure.
2.7.G.A G.2.2.4 Apply probability to practical solutions.
How to identify 2-d and 3-d
figures use properties of those
figures to find missing parts and
use formula to find
measurements?
Did you label answer correctly?
Students will understand:
Use coordinate
Geometry.
FInd midpoint,slope,
distance, and equation of
line.
Use properties of parallel
and perpendicular lines in
coordinate system.
Graph linear and
nonlinear equations.
How can you use
coordinates and algebraic
techniques to represent,
interpret, and verify
geometric relationships?
How to tell if an equation is
a linear equation or
nonlinear equation and be
able to graph each?
3-d figures Ch 12
Benchmark Assessments:
Keystone Geometry Exam
Fourth Quarter
Formative Assessments:
Test on finding midpoint, slope, and
distance given two points.
Test on graphing linear equations.
Test on coordinate Geometry Ch 13
Test on linear and nonlinear equations.
Test on SAT Geometry questions
Test on PSSA Geometry and
Measurement questions.
Summative Assessments:
Final Exam
2.3.G.C. G.2.3.1 Use and/or develop procedures to
determine or describe measures of surface area and/or
volume.
2.3.G.E G2.3.2 Describe how a change in one dimension of
a 3-d figure affects other measurements of that figure.
2.9.G.C G.2.1.2 Solve Problems using analytic Geometry
Calculate distance and slope. Relate slope to
perpendicularity and parallelism. Use slope, distance,
midpoint between two points