Assessment No. 3 | Mathematics in the Modern World

ANALOGY: Complete the analogy by choosing the word that best completes the relationship.

A false observation disproving a general statement is to counterexample as a specific observation confirming a general rule is to _____________________.

• Hypothesis

• Deductive reasoning

• Observation

• Conjecture

ANALOGY: Complete the analogy by choosing the word that best completes the relationship.

The step one in Polya’s steps in problem-solving is to understand the problem while step two in Polya’s steps in problem-solving is to _________________.

• Understand the Problem

• Devise a Plan

• Look Back

• Carry out the Plan

ANALOGY: Complete the analogy by choosing the word that best completes the relationship.

Intuition is to a _____________ as a proof is to a ___________________.

• Guess, Fact

• Theory, Experiment

• Hypothesis, Theorem

• Assumption, Conclusion

ANALOGY: Complete the analogy by choosing the word that best completes the relationship.

Devise a Plan in the Money Exchange Example is to Working Backwards from Final Amounts as Devise a Plan in the Algebra Example is to ___________________.

• Setting Up an Equation

• Estimating the Sum

• Drawing a Diagram

• Calculating Probability

ANALOGY: Complete the analogy by choosing the word that best completes the relationship.

An infinite sequence whose domain is the set of positive integers is to finite sequence whose domain of the function contains ________________________.

• n positive integers only

• negative integers

• natural numbers

• rational numbers

ANALOGY: Complete the analogy by choosing the word that best completes the relationship.

Constructing a Difference Table for a Sequence is to Predicting the Next Term as Using a Formula for a Polygonal Number is to___________________________.

• Determining the Number of Sides

• Finding the nth Term

• Drawing the Shape

• Calculating the Angles

ANALOGY: Complete the analogy by choosing the word that best completes the relationship.

Peak Primes: 123494321 * Valley Primes: ___________________

• 120343021

• 765404567

• 199999991

• 323232323

ANALOGY: Complete the analogy by choosing the word that best completes the relationship.

Recall an example. Given in example 3, step 1 in weighing the coins on the left side include 1, 2, 3, 4, 5, 6 as the right side includes ___________________.

• 7, 8, 9, 10, 11, 12

• 2, 8, 10, 12

• 7, 9, 10, 11

• 7, 10, 11, 12

ANALOGY: Complete the analogy by choosing the word that best completes the relationship.

Inductive reasoning is to generalization as deductive reasoning is to ________________________.

• Hypothesis

• Observation

• Specific conclusion

• Counterexample

ANALOGY: Complete the analogy by choosing the word that best completes the relationship.

Look for a formula/formulas: Step 2 * Modify the plan or try a new plan: ___________

• Step 3

• Step 1

• Step 4

• Step 5