I. Curricular Framework

Concept:

Properties

Essential Question:

How are the properties of quadrilaterals unique to that geometric form?

Bridge:

The Shape of Things

Content:

Congruent Quadrilaterals

Outcomes:

II. Standards Aligned

III. Instruction and Assessment

1. Connect: Connecting to the Concept Experientially

Objective: The students will recognize similarities of quadrilaterals.

Activity: Quadrilateral concentration game to introduce similarities (congruence). (In groups of 3-5) For each turn a player turns up two playing cards. The object is to name as many common properties as possible in 30 seconds. Group members decide if the characteristics are valid. Each member keeps track of their own score. After each player takes the same amount of turns, the game is over. The winner is the player with the highest score.

Assessment: Student participation.

2. Attend: Attending to the Connection

Objective: Students analyze the findings.

Activity: Each group explains how the game went for them. As a class, we identify similarities and differences and draw some conclusions.

Assessment: Student attention and participation.

Assessment, Phase One, Level of Engagement, Fascination:

3. Image: Creating a Mental Picture

Objective: Students will be able to tell what it means for two quadrilaterals to be congruent.

Activity: Each student creates a quadrilateral shape using strips and fastening them together. Ask the students to change the shape of the quadrilateral without changing the length of the sides. Ask how this is possible. (Fix one angle.) Ask what they can conclude about two congruent quadrilaterals. (They must have five pairs of congruent parts.)

Assessment: Student participation.

Assessment, Phase Two, Seeing the Big Picture:

4. Inform: Receiving Facts & Knowledge

Objective: Identify congruent quadrilaterals and prove quadrilaterals are congruent.

Activity: Define congruent quadrilaterals. Prove quadrilaterals are congruent by ASASA or SASAS. (Teacher uses overhead for instruction tool.)

Assessment: Student attention and teacher monitoring of the student's ability to work sample problems.

Assessment, Phase Three, Success with Acquiring Knowledge:

5. Practice: Developing Skills

Objective: Develop proficiency in identifying congruent quadrilaterals and proving quadrilaterals are congruent.

Activity: Students work sample problems individually from the text.

Assessment: Completion and accuracy of assigned work. Quiz to check for understanding.

Assessment, Phase Four, Success with Acquiring Skills:

6. Extend: Extending Learning to the Outside World

7. Refine: Refining the Extension

8. Perform: Creative Manifestation of Material Learned

Assessment, Phase Five,Performance, Creative Use of Material Learned: