ESAT Warm-Up: Silent. Binders out. Backpacks away Homework : Connecting Algebra to Proofs

1. ESAT Warm-Up: Silent. Binders out. Backpacks away Homework: Connecting Algebra to Proofs Learning Goal: I will be able to provide justification for statements in an algebraic proof. Do Now: Draw an example of each of the following and explain the relationship between the two: Corresponding Angles Alternate Exterior Angles Consecutive Interior Angles

2. Agenda: Do Now Correct Homework Make Properties Foldable Cut-and-Paste Algebraic Proof Partner Practice with Proofs Review for Quiz Take Quiz Begin Homework

3. Properties Foldable: Cut out the tabs along the DOTTED LINE You will write the name of the property on the front of the tab and the example inside

4. Addition Property of Equality If a = b, then a + c= c + b (You can add anything to an equation, as long as you add it to BOTH sides.)

5. Subtraction Property of Equality If a = b, then a – c = b – c (You can subtract anything from an equation as long as you subtract it from BOTH sides.)

6. Multiplication Property of Equality If a = b, then ac = bc (You can multiply by anything in an equation, as long as you multiply it to BOTH sides.)

7. Division Property of Equality IF a = b and , then (You can divide by anything in an equation (except zero), as long as you divide by BOTH sides.)

8. Reflexive Property For any real number a, a = a is always true.

9. Symmetric Property If a = b, then b = a. (If two statements are equivalent, you can write them on either side of the equals sign.)

10. Transitive Property If a = b and b = c, then a = c

11. Substitution Property If a = b, then a can be substituted for b in any equation or expression.

12. Notes: ALGEBRAIC PROOFS

13. Cut-and-Past Proofs With your partner, arrange the proofs in the appropriate order. Make two columns: Statements Reasons

14. Angles Practice This should be a time for you to SILENTLY and INDEPENDENTLY review for the quiz.