DO NOWS Building Up Proofs

Do Now Week 1, Day 1 SOLVE:

Do Now Week 1, Day 2 GIVEN that SHOW that Give a REASON for each step.

Do Now Week 1, Day 3 GIVEN: SHOW: Give a REASON for each step.

Do Now-Week 1, Day 4 Copy the PROOF. State the REASONS. Given Distributive Property Subtraction Property Click mouse to show each reason. Division Property Equivalent Fractions

Do Now Week 2, Day 1 Statement Reason 1. 2. 3. GIVEN Addition Property Copy the Formal Proof. State Reasons. GIVEN: SHOW: Statement Reason 1. 2. 3. GIVEN Addition Property Division Property

Do Now Week 2, Day 2 Statement Reason 1. 2. 3. GIVEN Copy the Formal Proof. State Reasons. GIVEN: SHOW: Statement Reason 1. 2. 3. GIVEN Subtraction Property Division Property

Do Now Week 2, Day 3 Statement Reason 1. 2. 3. 4. GIVEN SHOW: Statement Reason 1. 2. 3. 4. GIVEN Distributive Property Addition Property Division Property

Do Now Week 2, Day 4 Statement Reason 1. 2. 3. 4. GIVEN SHOW: Statement Reason 1. 2. 3. 4. GIVEN Distributive Property Subtraction Property Division Property

Do Now - Week 3, Day 1 Copy the following definition in your vocabulary list in your notebook. Negation – a statement that is the opposite truth-value of a given statement. So, if p is a statement. Then ~p is the negation of p. Example: Let p = “It is raining”. Then ~p = “It is not the case that it is raining” OR just “It is NOT raining.”

Do Now - Week 3, Day 2 Statement p Negation ~p It is sunny. 1 + 1 = 2 Copy the table. Write the NEGATION of each statement. Statement p Negation ~p It is sunny. 1 + 1 = 2 Spiderman loves Mary. It is not the case that it is sunny. It is not the case that 1 + 1 = 2. It is not the case that Spiderman loves Mary.

Do Now - Week 3, Day 3 Statement p Negation ~p Copy the table. Write the NEGATION of each statement. Statement p Negation ~p Batman is the Dark Night. Last night, it did not rain. All triangles’ angles add up to 90o. Batman is not the Dark Night. It is not the case that last night it did not rain. It is not the case that all triangles’ angles add up to 90o.

Do Now - Week 3, Day 4 Copy the following definition and examples in your notebook. Conditional Statement – An If-Then statement. EXAMPLES - If P, then Q. If it is raining, then the grass gets wet. If you eat breakfast, then you will be healthy. If x + 5 = 7, then x = 2. (You make up an example.)

Do Now - Week 4, Day 1 Copy the following conditional statements. Which ones are TRUE? If it sunny, then it does not rain. If you eat healthy, then you will have long life. If 2x - 5 = 3, then x = 4. If a quadrilateral is a rectangle, then it has four right angles. If a quadrilateral has four congruent sides, then it is a square. FALSE FALSE TRUE TRUE FALSE

Do Now - Week 4, Day 2 Copy the following conditional statements. State if the statement is TRUE or FALSE. If two polygons are congruent, then corresponding sides are congruent. If a polygon has 7 sides, then it is a heptagon. If x2 – 3 = 1, then x = 2. If a triangle has sides 3-4-5, then it is scalene. If a triangle is scalene, then it has sides 3-4-5. TRUE TRUE FALSE TRUE FALSE

Do Now - Week 4, Day 3 Copy the following conditional statements. State if the statement is TRUE or FALSE. If FALSE, give a COUNTEREXAMPLE. If a polygon has 5 sides, then it is a pentagon. If a quadrilateral has four right angles, then it is a square. If 3x – 5=2x + 1, then x = 6. If a line intersect a circle at point P, then it is a tangent line. TRUE FALSE rectangle TRUE FALSE secant

Do Now - Week 4, Day 4 Copy the following conditional statements. State if the statement is TRUE or FALSE. If FALSE, give a COUNTEREXAMPLE. If x2 = 25. then either x = 5 or x = -5. If a polygon has 4 sides, then it is a rectangle. If a pizza is cut into 6 equal pieces, then each central angle is 90o. If a quadrilateral is a rhombus, then it is a square. TRUE FALSE Any quad. FALSE,60o FALSE

Do Now - Week 5, Day 1 Statement Reason 1. 2. C B GIVEN: SHOW: is isosceles Statement Reason 1. 2. GIVEN is isosceles Definition of isosceles.

Do Now - Week 5, Day 2 Statement Reason 1. 2. 3. C B D GIVEN: SHOW: ABCD is a parallelogram Statement Reason 1. 2. 3. GIVEN GIVEN ABCD is a parallelogram Definition of parallelogram

Do Now - Week 5, Day 3 Statement Reason 1. 2. 3. C B D GIVEN: SHOW: ABCD is a rhombus Statement Reason 1. 2. 3. GIVEN GIVEN ABCD is a rhombus Definition of rhombus

Do Now - Week 5, Day 4 Statement Reason 1. 2. 3. 4. 5. C B D GIVEN: SHOW: ABCD is a rectangle Statement Reason 1. 2. 3. 4. 5. GIVEN GIVEN GIVEN Angles of quadrilateral add up to 360o ABCD is a rectangle Definition of rectangle

Do Now - Week 6, Day 1 Copy the NEW Theorem of the Week. CPCTC – Corresponding parts of congruent triangles are congruent. Example: If Then AND A C B D F E

Do Now - Week 6, Day 2 Statement Reason 1. 2. GIVEN: SHOW: B E C A F D CPCTC

Do Now - Week 6, Day 3 Statement Reason 1. 2. GIVEN: SHOW: B E C A F D CPCTC

Do Now - Week 6, Day 4 Statement Reason 1. 2. 3. GIVEN: SHOW: And A D B C Statement Reason 1. 2. 3. GIVEN CPCTC CPCTC

Do Now - Week 7, Day 1 Copy the NEW Theorem of the Week. SSS – Side-Side-Side: If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent. Example: If Then ________________ A C B D F E

Do Now - Week 7, Day 2 Statement Reason 1. 2. 3. 4. GIVEN: SHOW: B E C F E Statement Reason 1. 2. 3. 4. GIVEN GIVEN GIVEN SSS

Do Now - Week 7, Day 3 Statement Reason 1. 2. 3. 4. 5. GIVEN: SHOW: B C B GIVEN: SHOW: D F E Statement Reason 1. 2. 3. 4. 5. GIVEN GIVEN GIVEN SSS CPCTC

Do Now - Week 7, Day 4 Statement Reason 1. 2. 3. 4. 5. GIVEN: SHOW: A B C GIVEN: SHOW: Statement Reason 1. 2. 3. 4. 5. GIVEN GIVEN REFLEXIVE SSS CPCTC

Do Now - Week 8, Day 1 Copy the NEW Theorem of the Week. ASA – Angle-Side-Angle: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. Example: If Then ________________ A C B D F E

Do Now - Week 8, Day 2 Statement Reason 1. 2. 3. 4. GIVEN: SHOW: B E C F E Statement Reason 1. 2. 3. 4. GIVEN GIVEN GIVEN ASA

Do Now - Week 8, Day 3 Statement Reason 1. 2. 3. 4. 5. GIVEN: SHOW: B C B GIVEN: SHOW: D F E Statement Reason 1. 2. 3. 4. 5. GIVEN GIVEN GIVEN ASA CPCTC

Do Now - Week 8, Day 4 Statement Reason 1. 2. 3. 4. 5. GIVEN: SHOW: D B GIVEN: SHOW: C E A Statement Reason 1. 2. 3. 4. 5. GIVEN GIVEN VERTICAL ANGLES ASA CPCTC

Do Now - Week 9, Day 1 Copy the NEW Theorem of the Week. SAA – Side-Angle-Angle: If two angles and a non-included side of one triangle are congruent to the corresponding two angles and the non-included side of another triangle, then the triangles are congruent. Example: If Then ________________ A C B D F E

Do Now - Week 9, Day 2 Statement Reason 1. 2. 3. 4. GIVEN: SHOW: B E C F E Statement Reason 1. 2. 3. 4. GIVEN GIVEN GIVEN SAA

Do Now - Week 9, Day 3 Statement Reason 1. 2. 3. 4. 5. GIVEN: SHOW: B C B GIVEN: SHOW: D F E Statement Reason 1. 2. 3. 4. 5. GIVEN GIVEN GIVEN SAA CPCTC

Do Now - Week 9, Day 4 Statement Reason 1. 2. 3. 4. 5. GIVEN: SHOW: A B C GIVEN: SHOW: Statement Reason 1. 2. 3. 4. 5. GIVEN GIVEN REFLEXIVE SAA CPCTC