Accelerated Geometry Curriculum Map

Course Understandings / Essential Questions / Assessments / Course Knowledge/Skills
First Quarter
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? / 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.
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
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? / FormativeAssessments:
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
Summative Assessment:
Mid Term Exam Chapters 1-8 / 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
Third Quarter
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 3-dimensional figure effect other measurements such as perimeter, area, surface area or volume of that figure?
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? / 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 3-d figures Ch 12
Benchmark Assessments:
Keystone Geometry Exam / 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.
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.
Fourth Quarter
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? / 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 / 2.9.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