Download ACTIVITY 2

ACTIVITY 2
I.
PROBLEM - SOLVING
Problem: A question proposed for solution or discussion. A statement requiring a
solution by mathematical operations or geometric construction.
Problem Solving: A process by which an individual uses previously learned concepts,
facts, relationships, reasoning skills, and strategies to solve a problem. Problem-solving is
nonalgorithmic and requires creativity, thought, and judgement.
Question 1: Distinguish between the answer to a problem and the solution to a problem.
(You may give an example to illustrate the difference)
Question 2: Jill is twice as old as Bill, and Phil is thrice as old as Jill. The sum of the
ages is 36. How old is each person. Give two different ways of solving this problem.
Question 3: Two-digit numbers are to be formed from the numbers 1, 2, 3, 4, 5, and 6.
How many such numbers can be formed? What are the numbers? Describe the strategies
that you used to solve the problem (Use the list of strategies given on page 43 of your text
book as guidelines).
II.
MAKING THE CONNECTIONS IN MATHEMATICS
Various ideas in mathematics can be viewed as a body of related bits of knowledge that
can be integrated in meaningful ways.
Connection between different representations of an idea
Question 4: Give a verbal, visual, numerical, and graphic representation for the idea ‘one
third’.
Connection between Mathematical Generalizations
Question 5: What connection, if any, do you see between the following numerical
generalizations,
(a) The sum of two odd numbers is an even number
(b) The product of two negative numbers is a positive number.
Connection between Mathematics and the real-world
Question 6: For what real-world situation(s) might the following figures be used as
models?
(a)
(b)
(c)