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.

Tags

CCSS.3.OA.D.9

Find the next item in the sequence.

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

• Friday

• Saturday

• Monday

• Wednesday

Tags

CCSS.HSF.BF.A.2

Find the next item in the sequence.

• 
• 
• 
• 

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

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

CCSS.4.OA.C.5

Make a conjecture.

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

• always odd.

• always even.

• always negative.

• not possible.

Tags

CCSS.6.EE.B.6

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

CCSS.7.G.B.5

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

CCSS.HSG.CO.A.1

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

CCSS.7.G.B.5

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

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1