MATHEMATICS IN THE MODERN WORLD

​MATHEMATICS IN THE MODERN WORLD

​Mathematics in the Modern World is a general education course that deals with the nature of mathematics

MATHEMATICS IN THE MODERN WORLD

​- Mathematics in the Modern World is a general education course that deals with the nature of mathematics.

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• It is concerned with the appreciation of its practical, intellectual, aesthetic, and application of mathematical tools in daily life. I

​MATHEMATICS IN THE MODERN WORLD

​Mathematics in the Modern World is a general education course that deals with the nature of mathematics

MATHEMATICS IN THE MODERN WORLD

​3 MODULES

• Module 1 is concerned with the mathematics in our world. It provides a new way of looking at mathematics as a science of patterns.

• ​Module 2 is focused on mathematical language.

• ​Module 3 discussed about problem solving and reasoning.

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​CHAPTER 1: STUDYING PATTERN

​PATTERN - is an arrangement which helps observers anticipate what they might see or what happens next. Or just simply are regular, repeated, or recurring forms or designs.

​- Studying patterns help you in identifying relationships and finding logical connections to form generalizations to make predictions

​LOGIC PATTERN

​One kind of logic pattern deals with the characteristics of various objects while another deals with order.

​WHAT COMES NEXT?

​NUMBER PATTERN

The two most common are the arithmetic and geometric patterns.

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• arithmetic sequence is formed by adding or subtracting a constant number to consecutive terms,

• geometric sequence needs to be multiplied or divide with same value each time we want to get the next term in the sequence.

Fill in the Blank

1, 3, 5, 7, 9, ___, ____, ____

Multiple Choice

What comes Next ?

Fill in the Blank

10, 30, 90, ____,_____,____

​WORD PATTERNS

​Word Patterns. Patterns can also be found in language like morphological rules in pluralizing nouns or conjugating verbs for tense, as well as the metrical rules of poetry. Each of these examples supports mathematical and natural language understanding.

​LESSON 2: THE LANGUAGE AND GRAMMAR

​-The language of Mathematics is packed with terms and symbols, which normally used in everyday conversation. Mathematics has grammar too, but it is the mathematical logic that determines whether the statements are true or not true, valid or not valid.

​-MATHEMATICAL SENTENCE AND EXPRESSION

Fill in the Blank

Let x be a number. Translate each phrase or sentence into a mathematical expression or equation.

Twelve more than a number.

Fill in the Blank

Let x be a number. Translate each phrase or sentence into a mathematical expression or equation.

Eight minus a number.

Fill in the Blank

Translate the following English expressions and sentences into Mathematical expressions and statements or vice versa. Use the letter X/x to represent the unknown.

a. A number increased by 10

Fill in the Blank

The difference of thrice a number and 1 is twenty-three.

​Lesson 3. The Language of Sets

• The concept of sets was formalized by George Cantor, a German mathematician (1845-1918). He defined set as a collection of definite distinguished objects called elements.

• ​Equal sets are sets that have exactly the same elements.

• o If V=(a,e,i,o,u) and W=(e, o, u, a,i), since set V and W are equal, then we can denote that V=W.

​The chair in the living room is red. The chair in the dining room is red. The chair in the bedroom is red. therefore, _________________________

Fill in the Blank

Use inductive reasoning to predict the next number.

a. 3, 6, 9, 12, 15, ___

Fill in the Blank

1, 3, 6, 10, 15, ?