Inductive Reasoning

Which of the following is the basis for inductive reasoning?

• definitions and accepted properties

• facts and rules

• laws of logic

• observed patterns

Tags

CCSS.4.OA.C.5

What do we call an unproven statement that is based on observations?

• counterexample

• conditional

• converse

• conjecture

Which examples would support the conjecture that the sum of an even integer and an odd integer will be odd? Check all that apply.

• 2 + 5 = 7

• -3 + 4 = 1

• 6 + -9 = -3

• There are only counterexamples.

Tags

CCSS.7.NS.A.1

CCSS.7.NS.A.3

For a conjecture to be true, it must be true...

• in most cases.

• in all cases.

• on Thursday mornings.

• at least once.

Tags

CCSS.HSS.IC.A.1

The table shows the average weights of several subspecies of tigers. What conjecture can you make about the relation between the weights of female tigers and the weights of male tigers?

• Female tigers weigh more than male tigers.

• Male tigers weigh more than female tigers.

• Male and female tigers have equal weights.

Tags

CCSS.8.SP.A.1

What is a counterexample?

• A generalism that cannot be applied to a specific case

• A specific case that help to prove a conjecture

• A general case that is supported by specific examples

• A specific case for which a conjecture is false

Which of the following is a counterexample to the conjecture that the product of two positive numbers is always greater than either number?

• 1 x 5 = 5; 5 is not greater than 5

• 2 x 3 = 6; 6 is greater than 2 and 3

• -3 x 4 = -12; -12 is not greater than -3 or 4

• -1 x -2 = 2; two is greater than -1 and -2

Tags

CCSS.4.OA.A.1

CCSS.4.OA.A.2

In order to prove a conjecture false, ...

• you need only one counterexample.

• you need several counterexamples.

• you need to show all cases are false.

Given the following observation--Each day, you get to school before your friend--what conjecture can you make?

• You arrived at school before your friend yesterday.

• You will get home before your friend.

• You will arrive at school before your friend tomorrow.

• You need a new friend.

According to the graph, which is a reasonable conjecture?

• More girls will participate in high school lacrosse in Year 8 than those who participated in Year 7.

• The number of girls participating in high school lacrosse will exceed the number of boys participating in high school lacrosse in Year 9.

• There were more girls participating in high school lacrosse in Year 5 than in Year 1.

• More girls will participate in lacrosse in the United States during Year 8 than in Sweden.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.ID.C.7