Prelim

Question 1

Mathematics is:

Answer 1

A science
An art
A language
A study of patterns
A study of abstraction
A system of logical process

Question 2

Math in Our World consists of?

Answer 2

Problem Solving
Financial Literacy
Engineering and Design
Everyday Life
Critical Thinking

Question 3

This is considered the starting point of Math. It is the basis for more advanced concepts

Answer 3

Counting

Question 4

What are the goals in Math when used to study patterns

Answer 4

To make predictions, understand relationships, solve problems

Question 5

What are the examples of patterns

Answer 5

Number patterns
Logical patterns
Geometric Patterns
Word patterns

Question 6

It is a series of numbers where each number is the sum of the two preceding numbers

Answer 6

Fibonacci Sequence
discovered by Leonardo of Pisa

Question 7

These are patterns with repeating geometric shapes with no gaps or overlaps

Answer 7

Tesselations

Question 8

What are examples of patterns in Math in Nature?

Answer 8

Fractals
Spirals
Voronoi
Symmetry

Question 9

This is a pattern that looks similar in scale and looks more complex when observed on larger scales. It repeats itself overtime. Give examples.

Answer 9

Fractals (Snowflake, Lightning, Trees branching out, Ferns)

Question 10

These are curved patterns that has a centerpoint with circular shapes revolving around it. Give examples

Answer 10

Spirals (Hurricane, Pineapple, Pinecone)

Question 11

In this pattern, every point within a given region is closer to the “seed” . Give examples

Answer 11

Voronoi (Giraffe skin, Cracked Mud)

Question 12

These patterns are harmonious proportions of Balance

Answer 12

Symmetry

Question 13

How is Math used in Real Applications

Answer 13

Forensic Science
Medical Field
Engineering
Cryptography
Political Science
Music and Art

Question 14

What are the characteristics of Math language and symbols?

Answer 14

Precise (fine distinctions)
Concise (brief)
Powerful (express complex thought)

Question 15

This is the analogue of an English noun and does NOT state a complete thought

Answer 15

Mathematical Expression

Question 16

This is the analogue of an English sentence which states a complete thought. It asks if it is true, false , or Sometiems true/false

Answer 16

Mathematical Sentence

Question 17

Reaching a general conclusion by examining specific examples

Answer 17

Inductive reasoning

Question 18

This is the type of conclusion made by induction

Answer 18

Conjecture

Question 19

This is the basic form of valid reasoning that reaches a specific conclusion by applying general assumptions

Answer 19

Deductive reasoning

Question 20

This is finding a way out of difficulty to attain a desired end that is not immediately attainable by direct means

Answer 20

Problem Solving

Question 21

A math educator who developed a framework known as “Polya’s Four Steps in Problem Solving”

Answer 21

George Polya

Question 22

What are the 4 strps in Problem solving

Answer 22

1) Understanding the problem
2) Devise a plan
3) Carry out the plan
4) Look back

Question 23

Procedures that do not guarantee a solution but provides a more probable method for discovering the solution to a problem

Answer 23

Heuristics