Post Date: 12/11/23
Classroom/ Home REVIEW from the FIRST INSTRUCTIONAL DAY UNTIL the posted Week Ending Date
ACADEMIC REMINDER:
The REQUIRED Weekly Challenge Activities afford all students the essential reinforcement, skill-building, and practice necessary in order to bridge the achievement gap, make connections, and apply conceptual mathematical extensions prior to End of Course Examinations.
CCSS Geometry, Honors Weekly Challenge Ending 1/20/24
Domain(s): Congruence: Tools of Geometry/ Introducing Geometry/ Building Blocks of Geometry/ Transformations in the Coordinate Plane/ Polygon and Triangle Properties
Activities: MAFS.912.G-CO.1.1, MAFS.912.G-CO.1.2, MAFS.912.G-CO.1.3, MAFS.912.G-CO.1.4, MAFS.912.G-CO.1.5, MAFS.912.G-CO.2.6, MAFS.912.G-CO.3.9, MAFS.912.G-CO.4.12
ACTIVITY #1:
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Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Angles Formed by Parallel Lines and Transversals: Parallel lines, transversal lines, and corresponding angles.
Practice Area #1/ Task #1:
State EACH of the following Postulates and/or Theorems below in IF-THEN Form.
A. Parallel Lines Postulate
B. Converse of Parallel Lines Postulate
C. Vertical Angles Theorem
Practice Area #2/ Task #2:
Construct an ILLUSTRATION of EACH Postulate and/or Theorem.
Feel free to use Geometer’s Sketchpad, GeoGebra, compass, protractor, and/or straightedge.
A. Parallel Lines Postulate
B. Converse of Parallel Lines Postulate
C. Vertical Angles Theorem
Practice Area #3/ Task #3:
What is the difference between a Postulate and a Theorem? Explain your reasoning.
ACTIVITY #2:
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Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
The Angle Game: Using what we know to solve for angles in the Angle Game.
Option #1: Copy or print ANY 2 PROBLEMS which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed.
Option #2: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form. Feel free to use Geometer’s Sketchpad, GeoGebra, compass, protractor, and/or straightedge.
Click Here to access Practice Area #4.
Click Here to access Practice Area #5.
ACTIVITY #3:
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Given: Angle ABC is a right angle
Prove: Angle ABD and Angle CBD are complementary
Practice Area #6/ Task #6:
Label the complete diagram.
Practice Area #7/ Task #7:
Complete the two-column proof.
ACTIVITY #4: (Hint: Use Transformation Function/ Mapping Rules):
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Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Option #1: Print screen that proves student has reached a SmartScore of 35.
Option #2: Copy or print problems which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed. Continue until your SmartScore reaches 35.
Option #3: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form.
Click Here to access Practice Area #8.
Click Here to access Practice Area #9.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Possible Transformations Example:
Option #1: Copy or print ANY 2 PROBLEMS which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed.
Option #2: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form. Feel free to use Geometer’s Sketchpad, GeoGebra, compass, protractor, and/or straightedge.
Click Here to access Practice Area #10
Option #1: Copy or print ANY 2 PROBLEMS which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed.
Option #2: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form. Feel free to use Geometer’s Sketchpad, GeoGebra, compass, protractor, and/or straightedge.
Click Here to access Practice Area #11
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Performing a Rotation to Match Figures:
Option #1: Print screen that proves student has reached a SmartScore of 30.
Option #2: Copy or print problems which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed. Continue until your SmartScore reaches 30.
Option #3: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form.
Click Here to access Practice Area #12.
Click Here to access Practice Area #13.
ACTIVITY #5a:
Polygon Interior Angle Sum Theorem: S = 180(n-2); where “n” represents the total number of sides
Single Interior Angle Degree Measurement (regular polygon): 180(n-2)/n; where “n” represents the total number of sides
Polygon Exterior Single Angle Degree Measurement (regular polygon): 360/n; where “n” represents the total number of sides
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Option #1: Print screen that proves student has reached a SmartScore of 35.
Option #2: Copy or print problems which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed. Continue until your SmartScore reaches 35.
Option #3: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form.
Click Here to access Practice Area #14.
Click Here to watch video below in a separate window.
Option #1: Print screen that proves student has reached a SmartScore of 35.
Option #2: Copy or print problems which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed. Continue until your SmartScore reaches 35.
Option #3: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form.
Click Here to access Practice Area #15.
ACTIVITY #5b:
Polygon Interior Angle Sum Theorem: S = 180(n-2); where “n” represents the total number of sides
Single Interior Angle Degree Measurement (regular polygon): 180(n-2)/n; where “n” represents the total number of sides
Polygon Exterior Single Angle Degree Measurement (regular polygon): 360/n; where “n” represents the total number of sides
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Option #1: Print screen that proves student has reached a SmartScore of 35.
Option #2: Copy or print problems which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed. Continue until your SmartScore reaches 35.
Option #3: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form.
Click Here to access Practice Area #16.
ACTIVITY #5c:
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Practice Area #17/ Task #17:
Construct a REGULAR HEXAGON inscribed within a circle. Feel free to use Geometer’s Sketchpad, GeoGebra, compass, protractor, and/or straightedge.
Classroom/ Home REVIEW from the FIRST INSTRUCTIONAL DAY UNTIL the posted Week Ending Date
ACADEMIC REMINDER:
The REQUIRED Weekly Challenge Activities afford all students the essential reinforcement, skill-building, and practice necessary in order to bridge the achievement gap, make connections, and apply conceptual mathematical extensions prior to End of Course Examinations.
CCSS Geometry, Honors Weekly Challenge Ending 1/20/24
Domain(s): Congruence: Tools of Geometry/ Introducing Geometry/ Building Blocks of Geometry/ Transformations in the Coordinate Plane/ Polygon and Triangle Properties
Activities: MAFS.912.G-CO.1.1, MAFS.912.G-CO.1.2, MAFS.912.G-CO.1.3, MAFS.912.G-CO.1.4, MAFS.912.G-CO.1.5, MAFS.912.G-CO.2.6, MAFS.912.G-CO.3.9, MAFS.912.G-CO.4.12
ACTIVITY #1:
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Angles Formed by Parallel Lines and Transversals: Parallel lines, transversal lines, and corresponding angles.
Practice Area #1/ Task #1:
State EACH of the following Postulates and/or Theorems below in IF-THEN Form.
A. Parallel Lines Postulate
B. Converse of Parallel Lines Postulate
C. Vertical Angles Theorem
Practice Area #2/ Task #2:
Construct an ILLUSTRATION of EACH Postulate and/or Theorem.
Feel free to use Geometer’s Sketchpad, GeoGebra, compass, protractor, and/or straightedge.
A. Parallel Lines Postulate
B. Converse of Parallel Lines Postulate
C. Vertical Angles Theorem
Practice Area #3/ Task #3:
What is the difference between a Postulate and a Theorem? Explain your reasoning.
ACTIVITY #2:
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
The Angle Game: Using what we know to solve for angles in the Angle Game.
Option #1: Copy or print ANY 2 PROBLEMS which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed.
Option #2: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form. Feel free to use Geometer’s Sketchpad, GeoGebra, compass, protractor, and/or straightedge.
Click Here to access Practice Area #4.
Click Here to access Practice Area #5.
ACTIVITY #3:
Click Here to watch video below in a separate window.
Given: Angle ABC is a right angle
Prove: Angle ABD and Angle CBD are complementary
Practice Area #6/ Task #6:
Label the complete diagram.
Practice Area #7/ Task #7:
Complete the two-column proof.
ACTIVITY #4: (Hint: Use Transformation Function/ Mapping Rules):
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Option #1: Print screen that proves student has reached a SmartScore of 35.
Option #2: Copy or print problems which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed. Continue until your SmartScore reaches 35.
Option #3: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form.
Click Here to access Practice Area #8.
Click Here to access Practice Area #9.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Possible Transformations Example:
Option #1: Copy or print ANY 2 PROBLEMS which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed.
Option #2: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form. Feel free to use Geometer’s Sketchpad, GeoGebra, compass, protractor, and/or straightedge.
Click Here to access Practice Area #10
Option #1: Copy or print ANY 2 PROBLEMS which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed.
Option #2: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form. Feel free to use Geometer’s Sketchpad, GeoGebra, compass, protractor, and/or straightedge.
Click Here to access Practice Area #11
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Performing a Rotation to Match Figures:
Option #1: Print screen that proves student has reached a SmartScore of 30.
Option #2: Copy or print problems which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed. Continue until your SmartScore reaches 30.
Option #3: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form.
Click Here to access Practice Area #12.
Click Here to access Practice Area #13.
ACTIVITY #5a:
Polygon Interior Angle Sum Theorem: S = 180(n-2); where “n” represents the total number of sides
Single Interior Angle Degree Measurement (regular polygon): 180(n-2)/n; where “n” represents the total number of sides
Polygon Exterior Single Angle Degree Measurement (regular polygon): 360/n; where “n” represents the total number of sides
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Option #1: Print screen that proves student has reached a SmartScore of 35.
Option #2: Copy or print problems which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed. Continue until your SmartScore reaches 35.
Option #3: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form.
Click Here to access Practice Area #14.
Click Here to watch video below in a separate window.
Option #1: Print screen that proves student has reached a SmartScore of 35.
Option #2: Copy or print problems which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed. Continue until your SmartScore reaches 35.
Option #3: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form.
Click Here to access Practice Area #15.
ACTIVITY #5b:
Polygon Interior Angle Sum Theorem: S = 180(n-2); where “n” represents the total number of sides
Single Interior Angle Degree Measurement (regular polygon): 180(n-2)/n; where “n” represents the total number of sides
Polygon Exterior Single Angle Degree Measurement (regular polygon): 360/n; where “n” represents the total number of sides
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Option #1: Print screen that proves student has reached a SmartScore of 35.
Option #2: Copy or print problems which appear in the PRACTICE AREA. Student must write legibly ALL steps required to arrive at the solution(s) BEFORE solution(s) are revealed. Continue until your SmartScore reaches 35.
Option #3: Demonstrate completion of the assigned Practice Area(s) during the instructional block prior to stated Week Ending Date by obtaining instructor’s signature on appropriate Student Notetaking Form. The ACTIVITY #, Practice Area #, Date of completion, and SmartScore (if applicable) must be present on appropriate Student Notetaking Form.
Click Here to access Practice Area #16.
ACTIVITY #5c:
Click Here to watch video below in a separate window.
Click Here to watch video below in a separate window.
Practice Area #17/ Task #17:
Construct a REGULAR HEXAGON inscribed within a circle. Feel free to use Geometer’s Sketchpad, GeoGebra, compass, protractor, and/or straightedge.