Download Geometry Syllabus 2016 Course ID

Geometry Syllabus 2016
Course ID:
1st period: XL05-210Q-4021-3053
2nd period: XL05-210R-4021-4053
3rd period: XL05-210T-4021-6053
Unit 1 –Rigid Motions
I can identify and define transformations and composite transformations.
I can perform transformations and composite transformations.
I can determine the congruence of two figures using rigid motions.
I can apply transformations and composite transformations to figures in the coordinate plane.
I can map a figure onto itself using transformations.
I can explain triangle criteria for congruence.
1: Tuesday, January 5
Level 4: I can analyze different pathways to success, find connections between pathways and add new strategies to my thinking.
Level 3: I can apply mathematical flexibility to show what I know using more than one method.
Level 2: I can show my work to document one successful method.
Level 1: I can find and state a correct solution.
2: Thursday, January 7
Level 4: I can apply composite transformations to figures in the coordinate plane.
Level 3: I can apply transformations and to figures in the coordinate plane.
Level 2: I can apply composite transformations to points in the coordinate plane.
Level 1: I can apply transformations to points in the coordinate plane.
3: Friday, January 8
Level 4: I can determine the congruence of two figures using rigid motions.
Level 3: I can identify and define translations.
Level 2: I can perform translations.
Level 1: I can apply translations to figures in the coordinate plane.
4: Wednesday, January 13
Level 4: I can determine the congruence of two figures using rigid motions.
Level 3: I can map a figure onto itself using reflections.
Level 2: I can identify and define reflections.
Level 1: I can apply and perform reflections.
5: Thursday, January 14
Level 4: I can determine the congruence of two figures using rigid motions.
Level 3: I can map a figure onto itself using rotations.
Level 2: I can identify and define rotations.
Level 1: I can apply and perform rotations.
6: Friday, January 15
Level 4: I can explain triangle criteria for congruence.
Level 3: I can determine the congruence of two figures using rigid motions.
Level 2: I can use a congruence statement to determine congruent parts of congruent figures.
Level 1: I can identify and apply rigid motions.
7: Tuesday, January 19
Level 4: I can prove triangle criteria for congruence.
Level 3: I can explain triangle criteria for congruence.
Level 2: I can determine the congruence of two figures using rigid motions.
Level 1: I can use a congruence statement to determine congruent parts of congruent figures.
8: Wednesday, January 20
Level 4: I can show more than one way to find a solution to the problem.
Level 3: I can describe or illustrate how I arrived at a solution in a way that the reader understands without talking to me.
Level 2: I can find a correct solution to the problem.
Level 1: I can ask questions to help me work toward a solution to the problem.
9: Thursday, January 21 – Mastering Rigid Motions
Level 4: I can show more than one way to find a solution to the problem.
Level 3: I can describe or illustrate how I arrived at a solution in a way that the reader understands without talking to me.
Level 2: I can find a correct solution to the problem.
Level 1: I can ask questions to help me work toward a solution to the problem.
10: Friday, January 22 – Assessing Rigid Motions
Unit 2 – Tools of Geometry
I can use basic terms in geometry: angle, perpendicular line, parallel line, and line segment.
I can create basic geometric objects based on their definitions: median, angle bisector, altitude, perpendicular bisector, midsegment.
I can use tools and methods to perform formal constructions.
I can solve problems using points of concurrency.
11: Monday, January 25
Level 4: I can use basic terms in geometry: inscribed, circumscribed.
Level 3: I can use basic terms in geometry: angle, perpendicular line, parallel line, and line segment.
Level 2: I can define basic terms in geometry: angle, perpendicular line, parallel line, and line segment.
Level 1: I can use undefined terms in geometry: point, line, plane, distance along a line, and betweenness.
12: Tuesday, January 26
Level 4: I can use basic terms in geometry: inscribed, circumscribed.
Level 3: I can use basic terms in geometry: angle, perpendicular line, parallel line, and line segment.
Level 2: I can define basic terms in geometry: angle, perpendicular line, parallel line, and line segment.
Level 1: I can use undefined terms in geometry: point, line, plane, distance along a line, and betweenness.
13: Wednesday, January 27
Level 4: I can prove relationships for segments in triangles.
Level 3: I can use basic geometric objects to solve problems: median, angle bisector, altitude,
perpendicular bisector, midsegment.
Level 2: I can create basic geometric objects based on their definitions: median, angle bisector, altitude,
perpendicular bisector, midsegment.
Level 1: I can define basic geometry objects: median, angle bisector, altitude, perpendicular bisector,
midsegment.
14: Thursday, January 28
Level 4: I can use tools and methods to perform formal constructions.
Level 3: I can solve problems using points of concurrency.
Level 2: I can use basic geometric objects to solve problems: median, angle bisector, altitude,
perpendicular bisector, midsegment.
Level 1: I can create basic geometric objects based on their definitions: median, angle bisector, altitude,
perpendicular bisector, midsegment.
15: Friday, January 29
Level 4: I can prove methods for constructions.
Level 3: I can use tools and methods to perform formal constructions.
Level 2: I can solve problems using points of concurrency.
Level 1: I can use basic geometric objects to solve problems: median, angle bisector, altitude,
perpendicular bisector, midsegment.
16: Monday, February 1
Level 4: I can show more than one way to find a solution to the problem.
Level 3: I can describe or illustrate how I arrived at a solution in a way that the reader understands without
talking to me.
Level 2: I can find a correct solution to the problem.
Level 1: I can ask questions to help me work toward a solution to the problem.
Mastering Tools of
Geometry
17: Tuesday, February 2
Assessing Tools of
Geometry
Unit 3 – Geometric Relationships and Properties – Angles & Triangles
I can use inductive and deductive reasoning to make conclusions about statements, converses, inverses, and contrapositives.
I can use symbolic logic to make conclusions.
I can prove theorems about special pairs of angles.
I can prove theorems about angles in triangles.
I can prove theorems about parallel lines.
I can prove theorems about sides and angles of triangles.
I can write proofs for congruent triangles.
18: Friday, February 5
Level 4: I can prove statements about geometric figures.
Level 3: I can use inductive and deductive reasoning to make conclusions about statements, converses, inverses, and
contrapositives.
Level 2: I can use implied given information.
Level 1: I can use explicit given information.
19: Monday, February 8
Level 4: I can write symbolic logic proofs.
Level 3: I can use symbolic logic to make conclusions.
Level 2: I can translate between symbolic logic and English.
Level 1: I can use inductive and deductive reasoning to make conclusions about statements, converses, inverses, and
contrapositives.
20: Tuesday, February 9
Level 4: I can prove theorems about special pairs of angles in more than one way.
Level 3: I can prove theorems about special pairs of angles.
Level 2: I can use relationships between special pairs of angles to solve problems.
Level 1: I can use terms associated with special pairs of angles: supplementary, complementary, vertical, adjacent, angle bisector,
...
21: Wednesday, February 10
Level 4: I can prove theorems about parallel lines in more than one way.
Level 3: I can prove theorems about parallel lines.
Level 2: I can use relationships between special pairs of angles to solve problems.
Level 1: I can use terms associated with parallel lines: transversal, alternate interior, alternate exterior, corresponding, consecutive
interior, consecutive exterior, ...
22: Thursday, February 11
Level 4: I can solve problems with parallel lines in more than one way.
Level 3: I can look for and make use of structure to solve problems with parallel lines.
Level 2: I can draw an auxiliary line to make what isn’t pictured visible.
Level 1: I can compose and decompose figures to make sense of the parts and of the whole.
23: Friday, February 12
Level 4: I can prove theorems about sides and angles of triangles in more than one way.
Level 3: I can prove theorems about sides and angles of triangles.
Level 2: I can use relationships between sides and angles of triangles to solve problems.
Level 1: I can use terms associated with triangles: acute, right, obtuse, scalene, isosceles, equilateral, equiangular, opposite side ...
24: Tuesday, February 16
Level 4: I can write proofs for congruent triangles in more than one way.
Level 3: I can write proofs for congruent triangles.
Level 2: I can determine the congruence of two figures using SSS, SAS, ASA, AAS, and HL.
Level 1: I can use and write congruence statements.
25: Wednesday, February 17
H: Mastering Geometric Relationships and Properties – Angles & Triangles
Level 4: I can show more than one way to find a solution to the problem.
Level 3: I can describe or illustrate how I arrived at a solution in a way that the reader understands without talking to me.
Level 2: I can find a correct solution to the problem.
Level 1: I can ask questions to help me work toward a solution to the problem.
26: Thursday, February 18
I: Assessing Geometric Relationships and Properties – Angles & Triangles