2.1 Conjectures and Counterexamples

Write a conjecture that describes the pattern in the sequence.

4, 8, 12, 16, 20, ...

• Add 4 each time.

• Multiply by 2 each time.

• Subtract 4 each time.

• Divide by 2 each time.

Find the next item in the sequence.

Workout days: Sunday, Tuesday, Thursday, ...

• Friday

• Saturday

• Monday

• Wednesday

Tags

TEKS.MATH.A.12D

TEKS.MATH.P.5B

Find the next item in the sequence.

• 
• 
• 
• 

Tags

TEKS.MATH.1.6B

Gabriel started training with the track team five weeks ago. During the first week, he ran 0.5 mile at each practice. The next three weeks he ran 0.75 mile, 1 mile, and 1.25 miles at each practice. If he continues this pattern, how many miles will he be running at each practice during the 7th week?

• 1.5

• 1.75

• 2.0

• 2.25

Tags

TEKS.MATH.4.5B

Make a conjecture.

The product of two and a number, plus one is _____________________.

• always odd.

• always even.

• always negative.

• not possible.

Tags

TEKS.MATH.6.7B

Make a conjecture about the geometric relationship.

∠1 and ∠2 are a linear pair.

• ∠1 + ∠2 = 90

• ∠1 = ∠2

• ∠1 and ∠2 are complementary

• ∠1 + ∠2 = 180

Tags

TEKS.MATH.7.11C

Make a conjecture about the geometric relationship.

Point S is between R and T

• RS = ST

• S is the midpoint of RT

• RS + ST = RT

• Point R is the midpoint

Tags

TEKS.MATH.4.6A

Determine if the statement is true or false. If false, provide a counterexample to show that it is false.

If ∠1 and ∠2 are complementary, then ∠1 = ∠2.

• True

• False, ∠1 = 30 and ∠2 = 60

• False, ∠1 = 45 and ∠2 = 45

Tags

TEKS.MATH.7.11C

Determine if the statement is true or false. If false, provide a counterexample to prove it is false.

If we don't have school, then it is the weekend.

• True

• False; it could be Christmas

• False; it could be Saturday.

• False; it could be Monday.

Tags

TEKS.ELA.CR.4F

TEKS.ELA.E1.4F

TEKS.ELA.E1.5C

TEKS.ELA.E2.5C E3.5C

TEKS.ELA.RI.5C