# Geometry

The proof relay is a scaffolded formative assessment as learning.

### Goals and Learning Objective

Through this activity students will demonstrate and improve their understanding of making logical arguments by writing deductive proofs.

### Task

Students will formulate logical arguments. Level 1 includes all of the "statements" and "justifications" needed to complete the proof. Level 2 includes only the "Statement" side of the proof. Level 3 includes only the "justification" side of the proof. Levels 4 and above provide no extra hints, students must formulate the entire proof on their own.

### Procedure

Divide students into groups of 2 or 3.

Hand each group a level 1 set (large proof card and smaller proof pieces).

As groups finish level 1 give them level 2.

Continue as needed.

## Lesson Tips

This activity can be used in a variety of ways depending on desired objectives. New proofs can always be written to fit different curriculum and pacing.

Print each level on a different colored card stock. This allows for quick identification of levels at a distance.

Cut out each of the statement and justification cards to go with each level proof.

Time: This activity should take between 15 and 30 minutes.

## VA Standards of Learning

G.1 The student will construct and judge the validity of a logical argument consisting of a set of

premises and a conclusion. This will include

d) using deductive reasoning.

G.6 The student, given information in the form of a figure or statement, will prove two triangles are

congruent, using algebraic and coordinate methods as well as deductive proofs.