PRELIMS

Question 1

in mathematics isa repeated arrangement of numbers, shapes, or colors that follow a rule.It can be used to describe events or objects

Answer 1

PATTERN

Question 2

____ are defined as regular, repeated forms or designs.

Answer 2

Patterns

Question 3

They are visible regularities found in the natural world.

Answer 3

Patterns

Question 4

5 Types of Natural Patterns

Answer 4

-Symmetries
-Spirals
-Waves
-Cracks
-Stripes

Question 5

5 Types of patterns in mathematics

Answer 5

1. Fibonacci pattern
2. Geometric pattern
3. Arithmetic pattern
4. Symmetrical pattern
5. Square number pattern

Question 6

A sequence of numbers where each number is the sum of the two numbers before it or previous two

Answer 6

Fibonacci pattern

Question 7

1,1,2,3,5,8,…..
is an example of what type of pattern in mathematics?

Answer 7

Fibonacci pattern

Question 8

A sequence of numbers that can be found using multiplication or division or sequences of numbers or shapes that follow a predictable pattern

Answer 8

Geometric pattern

Question 9

Geometric pattern is a sequence of numbers that can be found using _____ or sequences of numbers or shapes that follow a predictable pattern

Answer 9

multiplication or division

Question 10

3, 6, 12, 24, 48
is an example of what type of pattern in mathematics?

Answer 10

geometric pattern

Question 11

A sequence of numbers that can be found using addition or subtraction.

Answer 11

Arithmetic pattern

Question 12

Arithmetic pattern: A sequence of numbers that can be found using _____

Answer 12

addition or subtraction.

Question 13

The sequence 3, 5, 7, 9 has a common difference of 2

is an example of what type of pattern in mathematics?

Answer 13

arithmetic pattern

Question 14

Symmetrical pattern: A pattern found in ____ that have two identical halves

Answer 14

shapes

Question 15

A pattern found in shapes that have two identical halves

Answer 15

Symmetrical pattern

Question 16

Square number pattern: sequences of numbers that result from ____ a number by itself

Answer 16

multiplying

Question 17

sequences of numbers that result from multiplying a number by itself

Answer 17

Square number pattern

Question 18

1, 4, 9, 16 ….
is an example of what type of pattern in mathematics?

Answer 18

square number pattern

Question 19

Studying these patterns helps in identifying ____.

Answer 19

relationships

Question 20

It aids in finding logical connections and making predictions.

Answer 20

Mathematical Modeling of PATTERNS

Question 21

Studying patterns enhances ___ skills

Answer 21

critical thinking

Question 22

It helps in making predictions based on observed data.

Answer 22

PATTERNS
(importance of studying patterns)

Question 23

are foundational in mathematics and science.

Answer 23

Patterns

Question 24

is a system of communication about objects like number, variables, sets, operation, functions, equation and statement

Answer 24

Mathematics

Question 25

Like other languages, mathematics has its own vocabulary. They uses many symbols such as ____ ( 012345), ____ (+-X/), values of x & y and other special symbols ( = <>) and so on.

Answer 25

digits operation

Question 26

3 MATHEMATICS AS STATEMENT

Answer 26

1. Propositions 2. Universal Statement 3. Conditional Statements

Question 27

is a declarative sentences that is either true or false, but not both (mathematics as statement)

Answer 27

PROPOSITIONS

Question 28

a statement that is true for all elements of a set. (mathematics as statement)

Answer 28

UNIVERSAL STATEMENT

Question 29

a statement that uses the words "if" and "then" to describe the relationship between two things (mathematics as statement)

Answer 29

CONDITIONAL STATEMENT

Question 30

are used to justify a given situation It is also determine if two statements are true or false. (mathematics as statement)

Answer 30

CONDITIONAL STATEMENT

Question 31

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the ____ and Q is called the ____.

Answer 31

hypothesis conclusion

Question 32

in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form.

Answer 32

SETS

Question 33

That contains one or more variable is referred as an ___ Example: 2x= 3+y 3a = 2b + a

Answer 33

open sentence.

Question 34

A union B is: A ∪ B = {1,2,3,4,5,6} is an example of mathematics as ???

Answer 34

set

Question 35

a set of ordered pairs (x,y) such that no two ordered pairs have the same x-value but different y-values.

Answer 35

Mathematics as Function

Question 36

f(x) = 3x^2 + 5x – 1 g(x) = 2x^2 + 6x - 5 is an example of mathematics as ???

Answer 36

function

Question 37

RULES FOR ADDING INTEGERS If the numbers have the (different / same) sign, add the absolute values and keep the sign .

Answer 37

same

Question 38

RULES FOR ADDING INTEGERS If the numbers have (different / same) signs, subtract the absolute values and keep the sign of the larger absolute value

Answer 38

different

Question 39

RULES FOR SUBTRACTING INTEGERS 1. Keep the sign of the ___ 2. ___ the subtraction (-) symbol to addition(+) 3. Change the ___ of the numbers that follow to the opposite, positive becomes negative, and negative becomes positive. 4. Then follow the rules for ___.

Answer 39

1. first number 2. Change 3. sign 4. addition

Question 40

It is the aspect of using different thought to create a valid argument that can be used to make decision.

Answer 40

REASONING

Question 41

2 TYPES OF REASONING

Answer 41

Inductive reasoning Deductive reasoning

Question 42

starts with specific examples or observation and moves to general conclusion (type of reasoning)

Answer 42

inductive

Question 43

uses a collection of specific instances as premises and uses them to propose a general conclusion (type of reasoning)

Answer 43

inductive

Question 44

A ___ is a statement that supports a conclusion in an argument. A ___ is the statement that is being argued for.

Answer 44

premise conclusion

Question 45

**You are making conclusions based on the specific scenarios. **Is not always reliable

Answer 45

inductive

Question 46

Can be used to generate hypotheses

Answer 46

inductive

Question 47

how inductive reasoning works: S R M T

Answer 47

>Start with observations: Begin with specific examples or observations. >Recognize patterns: Look for patterns in the observations. >Make a generalization: Use the patterns to make a generalization or hypothesis about the whole set. >Test the generalization: Test the generalization to see if it's true.

Question 48

____ reasoning can help students develop problem-solving skills, understand mathematical concepts, and discover mathematical truths.

Answer 48

INDUCTIVE

Question 49

a logical process that uses known facts to reach a conclusion.

Answer 49

deductive reasoning

Question 50

Begin with facts, rules, or properties that are assumed to be true

Answer 50

DEDUCTIVE REASONING

Question 51

Is more reliable than inductive reasoning if the premises are true

Answer 51

DEDUCTIVE REASONING

Question 52

You are making conclusions based on the facts.

Answer 52

deductive reasoning

Question 53

– proved to be true (deductive reasoning)

Answer 53

FACTS

Question 54

– principles or instruction that states the way things should be done. (deductive reasoning)

Answer 54

RULES

Question 55

– characteristics that applied to given set. (deductive reasoning)

Answer 55

PROPERTIES

Question 56

is a reliable way to test hypotheses and theorems

Answer 56

Deductive reasoning

Question 57

____ reasoning helps students develop critical thinking and problem-solving skills

Answer 57

deductive