Lesson 1

Question 1

it is a science of logical reasoning, drawing conclusions from assumed premises or strategic reasoning

Answer 1

mathematics

Question 2

is so fundamental to our perception of quantity that it is to assign a numeric value to a group of objects

Answer 2

Counting

Question 3

connotes order, regularity, and lawfulness

Answer 3

Pattern

Question 4

one kind of logic pattern deals with the characteristics of various objects

Answer 4

Logical Pattern

Question 5

may be a design or motif depicting abstract, nonrepresentational shapes like line, circles, ellipses, triangles, rectangles, and polygons

Answer 5

Geometric Pattern

Question 6

is an arrangement of numbers in such a way that it follows a particular property or pattern

Answer 6

Number Pattern

Question 7

The metrical patterns of poems and the syntactic patterns of how we make nouns plural or verbs past tense are both word patterns, and each supports mathematical as well as natural language understanding

Answer 7

Word Pattern

Question 8

led to the introduction of the Fibonacci numbers and the Fibonacci Sequence

Answer 8

The Rabbit Problem

Question 9

Who discovered the Fibonacci Sequence?

Answer 9

Leonardo Pisano Bigollo

Question 10

Pisano means?

Answer 10

from Pisa

Question 11

Fibonacci means

Answer 11

son of Bonacci

Question 12

this sequence is found in many natural patterns such as pineapples, sunflowers, nautilus, and pine cones

Answer 12

Fibonacci Sequence

Question 13

a mathematical ratio, epitomizes beauty, congruence, and balance in physical form

Answer 13

Golden Ratio

Question 14

is an essential tool in many fields, including scientific discipline, engineering, medicine, finance, and other sociologies

Answer 14

Mathematics

Question 15

a quality that cannot be described or named easily

Answer 15

je ne sais quoi

Question 16

What are the three characteristics of mathematical language?

Answer 16

Precise
Concise
Powerful

Question 17

are written in symbols

Answer 17

Mathematical Sentences

Question 18

What are the elements of mathematical language?

Answer 18

The importance of truth
convention
definition and undefined terms
simplicity and elegance

Question 19

Quantity

Answer 19

cardinal

Question 20

order

Answer 20

ordinal

Question 21

label

Answer 21

nominal

Question 22

are procedures or strategies that do not guarantee a solution to a problem but provide a more highly probable method for discovering the solution to a problem

Answer 22

Heuristics

Question 23

is the process by which this new situation is analyzed and resolved

Answer 23

Problem solving

Question 24

it is a strategy in which students look for patterns in the data to solve the problem

Answer 24

Finding a pattern

Question 25

it is also known as, “If” and “Then” approach, a conditional statement in solving problems, using rational, systemic series of steps based on sound mathematical procedures and given statements to conclude

Answer 25

Logical Reasoning

Question 26

these problems usually complex to little formal mathematics but, instead, rely on the creative use of basic strategic principles

Answer 26

Recreational Problems

Question 27

are usually encountered during formal exams with limits

Answer 27

Contest Problems

Question 28

are mathematical situations that are sometimes vaguely worded and possibly have many solutions

Answer 28

Open-ended problems

Question 29

Permutation Formula

Answer 29

P=n!/(n-r)!

Question 30

Combination Formula

Answer 30

C= n!/r! (n-r)!

Question 31

a problem-solving approach that students can use to resolve mathematical problems by predicting the answer and then inspecting that the guess fits the condition of the problem

Answer 31

Guess and Check

Question 32

it is dividing the significant concentration into small ones and then rules them

Answer 32

Divide and conquer

Question 33

this strategy entails starting with the results and reversing the steps needed to get those results

Answer 33

Working Backwards

Question 34

constructing an organized list, table, chart, or graph helps students establish their intelligence about a problem

Answer 34

Organizing Data

Question 35

the process of reaching a general conclusion by examining specific examples

Answer 35

Inductive Reasoning

Question 36

the assumption from using the inductive reasoning is called a

Answer 36

conjecture

Question 37

is the process of concluding by applying general assumptions, procedures, or principles

Answer 37

Deductive Reasoning