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Complete the next two terms in the sequence: 1, -4, 16, -64, ____, ____ Unit 1, 2.1

Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

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Page 1: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

Complete the next two terms in the sequence:

1, -4, 16, -64, ____, ____

Unit 1, 2.1

Page 2: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

Complete the next two terms in the sequence:

1, -4, 16, -64, 256, -1024 times by -4

Unit 1, 2.1

Page 3: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

Complete the next two terms in the sequence:

4000, 1000, 250, ____, ____

Unit 1, 2.1

Page 4: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

Complete the next two terms in the sequence:

4000, 1000, 250, 62.5, 15.625divide by 4

Unit 1, 2.1

Page 5: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

Write a viable argument for the given conjectures?

If a geometric figure has six sides,

then it is a hexagon.

If a geometric figure is a hexagon,

then the sum of its angles is 720°.

Unit 1, 3.1

Page 6: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

Write a viable argument for the given conjectures?

If a geometric figure has six sides, then it is a hexagon.

If a geometric figure is a hexagon, then the sum of its angles is 720°.

Given figure A has six sides, then the sum of its angles is 720°.

Unit 1, 3.1

Page 7: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

What is a counterexample to the statement?

If a geometric figure has three sides,

then it is a right triangle.

Unit 1, 3.2

Page 8: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

What is a counterexample to the statement?

If a geometric figure has three sides, then it is a right triangle.

It could be an equiangular, acute or obtuse triangle.All three sided figures are triangles but do not have

to be right triangles.Counterexample: an example or case that

proves the conditional false.

Unit 1, 3.2

Page 9: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

For the conditional statement,

write the hypothesis.

If it is nice outside,

then I will go to the game,

Unit 1, 3.2

Page 10: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

For the conditional statement, write the hypothesis.

If it is nice outside, then I will go to the game,

It is nice outside

Hypothesis: clause after the ifMake sure you do not write the if!

Unit 1, 3.2

Page 11: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

For the conditional statement,

write the conclusion.

If it is nice outside,

then I will go to the game,

Unit 1, 3.2

Page 12: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

For the conditional statement, write the conclusion.

If it is nice outside, then I will go to the game,

I will go to the game

Conclusion: clause after the thenMake sure you do not write the then!

Unit 1, 3.2

Page 13: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

What are the three undefined terms of Geometry?

Unit 1, 3.1

Page 14: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

What are the three undefined terms of Geometry?

Point, Line, and Plane

Unit 1, 3.1

Page 15: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

Write a two-column proof

If 2(x - 4)= -11 – x, then x = -1

Unit 1, 3.1

Page 16: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

Write a two-column proof

If 2(x - 4)= -11 – x, then x = -1

Unit 1, 3.1

Statements Reasons

1. 2(x - 4)= -11 – x 1. Given

2. 2x – 8 = -11 - x 2. Distributive Property

3. 3x – 8 = -11 3. Addition Property of =

4. 3x = -3 4. Addition Property of =

5. x = -1 5. Division Prop of =

Page 17: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

If a shape is a square, then it has four right angles.

Write the CONVERSE?

Unit 1, 3.3

Page 18: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

If a shape is a square, then it has four right angles.

Write the CONVERSE?

If a shape has four right angles, then it is a square.

Page 19: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

If you live in Illinois, then you live in the U.S.

Write the INVERSE?

Unit 1, 3.3

Page 20: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

If you live in Illinois, then you live in the U.S.

Write the INVERSE?

If you do not live in Illinois, then you do not live in the U.S.

Unit 1, 3.3

Page 21: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

If two angles have the sum of 90°, then they are complementary.

Write the CONTRAPOSITIVE?

Unit 1, 3.3

Page 22: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

If two angles have the sum of 90°, then they are complementary.

Write the CONTRAPOSITIVE?

If two angles are not complementary, then they do not have a sum of 90°.

Unit 1, 3.3

Page 23: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

If an angle is acute, then it is less than 90°.

Write the - CONVERSE

- INVERSE- CONTRAPOSITIVE

Unit 1, 3.3

Page 24: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

Converse: If an angle is less than 90°, then it is acute.

Inverse: If an angle is not acute, then it is not less than 90°.

Contrapositive: If an angle is not less than 90°, then it is not acute.

Unit 1, 3.3

Page 25: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

Write the definition of a straight angle as a

biconditional.

Unit 1, 3.3

Page 26: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

Write the definition of a straight angle as a

biconditional.

A angle is straight if and only if it measures 180°.

Unit 1, 3.3

Page 27: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

Name three collinear points

A

E

D

CB

Unit 1, 3.1

Page 28: Complete the next two terms in the sequence: 1, -4, 16, -64,pchs.psd202.org/documents/kbaggot/1566849572.pdf · For the conditional statement, write the hypothesis. If it is nice

Name three collinear points

A

E

D

CB

Unit 1, 3.1

D, E, B or A, E, C