Students will be able to identify congruent angles and understand the concept of angle bisectors by drawing and classifying angles accurately.
Students will be assessed through a worksheet where they need to identify and draw pairs of congruent angles, as well as demonstrate understanding of angle bisectors by accurately bisecting given angles.
Definition of congruent angles and how to identify them
Understanding the concept of angle bisectors
Drawing and classifying angles accurately
Identifying common misconceptions about congruent angles
Show two angles that look the same and ask students if they know what it means for angles to be congruent
Engage students with a hands-on activity where they match pairs of congruent angles
Explain the definition of congruent angles and show examples
Introduce angle bisectors and demonstrate how they divide angles
Address the common misconception that angles need to look the same to be congruent
Provide guided examples for students to identify and draw congruent angles
Scaffold questioning from simple identification to more complex angle bisector problems
Monitor student performance by circulating the classroom and offering support as needed
Instruct students to draw and classify different sets of congruent angles
Assign tasks where students need to identify and draw angle bisectors accurately
Provide clear expectations for completion and accuracy of the work
Have students share their drawings and explanations of how they identified and classified congruent angles
Summarize the key points about congruent angles and angle bisectors
Encourage early finishers to create their own examples of congruent angles and challenge a partner to identify and draw their own angle bisectors.
For homework, students can complete a worksheet identifying congruent angles in everyday objects at home and drawing angle bisectors.
CCSS Standard: G-CO.A.2 - Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs.
CCSS Standard: G-CO.A.2 - Given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.