- Transitive Property of Congruence with segments and angles
III.MeetingObjectives
- Students will identify and apply properties of equality.
- Students will solve equations and cite properties in their examples.
- Students solve problems using the properties.
IV.NotesonAssessment
- This activity has two parts. The first part is to observe the students as they work on creating the game.
- The second part is to watch them play it.
- Because they are switching game cards with another team, any errors will quickly come to light.
- Be sure to allow time for feedback/correction.
Diagrams
I.SectionObjectives
- Provide the diagram that goes with a problem or proof.
- Interpret a given diagram.
- Recognize what can be assumed from a diagram and what can not be
- Use standard marks for segments and angles in diagrams.
II.ProblemSolvingActivity-NameThatPostulate!
- This is a game. The students will create the game cards and then a “Jeopardy” kind of game can be played in
the large class or in small groups. - Students are assigned the task of creating an index card with a diagram that represents each postulate.
- Students should use diagrams and also standard marks for segments and angles in their examples.
- There are eleven postulates, so if there are twenty- two students in the class, each postulate would be repre-
sented by two different diagrams. You need to assign the students the postulates to avoid too many repeats. - Allow time for the students to create their diagrams and then use peers to check each other’s work for accuracy.
- When finished, collect the cards and play the game with the students.
III.MeetingObjectives
- Students create diagrams to better understand postulates.
- Students interpret given diagrams when playing the game.
- Students use standard marks for segments and angles when creating their game cards.
IV.NotesonAssessment
- Assessment is easier with this lesson because the students will be playing the game. You will be able to see
who understands the postulates and who doesn’t. - Also, having students check each other’s work before playing the game will definitely help to catch any errors.
- You can help add any corrections when playing the game and looking at each game card.
Chapter 5. Geometry TE - Problem Solving