Unit 1: Introduction to Science & Mathematics Questions

Fill in the blanks:

1. The word “Science” originates from the Latin word __________, which translates to “knowledge.”
2. According to Galileo Galilei, “Mathematics is the language in which God has written the __________.”
3. In the animal kingdom, mammals, birds, reptiles, amphibians, and fish are all classified as __________ because they have a backbone.
4. The green pigment in leaves that is essential for capturing sunlight during photosynthesis is called __________.
5. The human __________ system transports oxygen, nutrients, and hormones to cells while removing waste products like carbon dioxide.
6. According to the order of operations (PEMDAS), the ‘E’ stands for __________, which are calculated before multiplication and division.
7. In algebra, a __________ is a letter used to represent an unknown quantity.
8. Diseases caused by pathogens that can spread from person to person are classified as __________ diseases.
9. The pedagogical approach of connecting different subjects or topics together to break down rigid traditional silos is known as __________.
10. Reporting data truthfully, even if it contradicts a hypothesis, is a key component of developing a scientific temper called Intellectual __________.

Answers:

1. Scientia
2. universe
3. Vertebrates
4. chlorophyll
5. circulatory
6. Exponents
7. variable
8. infectious (or communicable)
9. Correlation
10. Honesty

Tick the correct option:

1. Which of the following represents Science as a “Process”?

a) Accumulated facts

b) Formulating hypotheses and experimenting

c) Textbooks and encyclopedias

d) Scientific principles and laws

2. Preparing students for technical, scientific, and engineering professions falls under which aim of teaching mathematics?

a) Cultural Aim

b) Utilitarian Aim

c) Social and Vocational Aim

d) Disciplinary Aim

3. Which dietary category describes organisms that break down dead material to recycle nutrients?

a) Carnivores

b) Herbivores

c) Omnivores

d) Decomposers

4. What cellular structure do plant cells possess that animal cells lack, providing them with a rigid shape?

a) Nucleus

b) Cell Wall

c) Small vacuoles

d) Cell membrane

5. Which macronutrient serves as the primary building block of the body, used for growth and repairing tissues?

a) Carbohydrates

b) Fats

c) Proteins

d) Vitamins

6. Which mathematical property is represented by the equation $a(b + c) = ab + ac?

a) Commutative Property

b) Associative Property

c) Distributive Property

d) Reflexive Property

7. The total amount of space inside a 3D object is referred to as its:

a) Perimeter

b) Area

c) Volume

d) Quotient

8. Using Carbon-14 dating to determine the age of artifacts is an example of correlating Science with which subject?

a) Geography

b) History

c) Economics

d) Music

9. Which of the following is considered a micronutrient?

a) Lipids

b) Carbohydrates

c) Minerals

d) Water

10. In a fraction, the bottom number that represents the total equal parts is called the:

a) Numerator

b) Denominator

c) Quotient

d) Coefficient

Answers:

1. b) Formulating hypotheses and experimenting
2. c) Social and Vocational Aim
3. d) Decomposers
4. b) Cell Wall
5. c) Proteins
6. c) Distributive Property
7. c) Volume
8. b) History
9. c) Minerals
10. b) Denominator

True or False

1. Science as a “Product” refers to the systematic method of inquiry involving experimentation and measurement.
2. John Locke stated that mathematics is a way to settle in the mind a habit of reasoning.
3. Invertebrates make up roughly 95% of animal life on Earth.
4. Vitamins and minerals are considered macronutrients because the body requires them in large amounts.
5. Antibiotics are highly effective in treating viral infections like the Flu or COVID-19.
6. A mixed number is a combination of a whole number and a proper fraction.
7. Coordinate geometry is an example of internal correlation within mathematics, combining algebra and geometry.
8. The commutative property states that you can swap numbers in division and subtraction and get the same answer.
9. Both plant and animal cells feature one large central vacuole used to store water.
10. The human skeletal system contains 206 bones in an adult.

Answers:

1. False (Science as a Product is the accumulated body of knowledge; Process is the method of inquiry.)
2. True
3. True
4. False (Vitamins and minerals are micronutrients needed in small amounts.)
5. False (Antibiotics do not work on viruses; they treat bacterial infections.)
6. True
7. True
8. False (The commutative property only applies to addition and multiplication, not division or subtraction.)
9. False (Only plant cells have one large central vacuole; animal cells have multiple small ones.)
10. True

Very Short Answer Type Questions:

1. What is the fundamental difference between the “Aims” and “Objectives” of teaching a subject?
2. Name the four basic operations of arithmetic.
3. What are the three main components of the human circulatory system?
4. Write the mathematical formula used to calculate a percentage.
5. What is the primary function of white blood cells in the human body?
6. Give one example of a psychomotor (skill) objective in science.
7. In algebra, what is a “constant”?
8. What does it mean if an animal is classified as an omnivore?
9. Write the chemical equation for photosynthesis.
10. How does geometry directly correlate with the visual arts?

Answers:

1. Aims are broad, overarching, long-term goals, whereas objectives are specific, immediate, and measurable goals achieved in a shorter timeframe.
2. Addition, Subtraction, Multiplication, and Division.
3. The heart, blood, and blood vessels.
4. Percentage = (Part/Whole) × 100
5. They act as the “soldiers” of the immune system that seek out and destroy invading pathogens.
6. Setting up apparatus, handling instruments safely, or conducting controlled experiments.
7. A fixed number that does not change (e.g., the number 7).
8. It means the animal eats both plants and meat.
9. 6CO₂ + 6H₂O + Light Energy-> C₆H₁₂O₆ + 6O₂
10. Geometry is heavily used in visual arts for drawing perspective, symmetry, and utilizing the Golden Ratio.

Short Answer Type Questions:

1. Differentiate between the dual nature of science (Science as a Product vs. Science as a Process).
2. Briefly explain the disciplinary aim of teaching mathematics.
3. What is the difference between infectious and non-infectious diseases? Provide one example of each.
4. Outline the correct order of operations according to the PEMDAS acronym.
5. Compare the physical characteristics and reproduction methods of mammals and reptiles.
6. Describe the functions of the three primary macronutrients required by the human body.
7. Explain why mathematics is often referred to as the “Language of Science,” using examples from physics and biology.
8. What are the three basic parts of a plant, and what function does each serve?
9. List three key structural differences between a plant cell and an animal cell.
10. How does teaching through correlation help reduce the mental burden on students?

Answers:

1. Science as a Product is the accumulated body of facts, concepts, and theories about the natural world. Science as a Process is the systematic scientific method used to discover those facts, involving observation, hypothesis formulation, and experimentation.
2. The disciplinary aim of teaching mathematics is to train the mind. It focuses on developing reasoning, analytical thinking, problem-solving skills, and cultivating habits of concentration, accuracy, and exactness.
3. Infectious diseases are caused by pathogens and can spread between people (e.g., Flu, Tuberculosis). Non-infectious diseases cannot be spread and are often caused by genetics or lifestyle (e.g., Cancer, Diabetes).
4. PEMDAS stands for Parentheses, Exponents, Multiplication & Division (left to right), and Addition & Subtraction (left to right). It is the universally agreed-upon order to solve mathematical equations.
5. Mammals are warm-blooded, have hair or fur, and produce milk to feed their young. Reptiles are cold-blooded, are covered in scales, and reproduce by laying eggs.
6. Carbohydrates serve as the body’s primary energy source. Proteins are the building blocks used for growth, tissue repair, and making enzymes. Fats (Lipids) store energy, protect organs, and support cell membrane structure.
7. Mathematics provides the precise formulas and calculations needed to explain scientific concepts. In physics, laws like gravity and motion are written as math equations (e.g., F=ma). In biology, math is used to track population growth or calculate genetic probability.
8. Roots: Anchor the plant and absorb water/minerals. 2) Stem: Supports the plant and transports water/nutrients. 3) Leaves: Act as “food factories” where photosynthesis occurs.
9. Plant cells have a rigid cell wall, while animal cells do not. 2) Plant cells contain chloroplasts for photosynthesis; animal cells do not. 3) Plant cells have one large central vacuole, while animal cells have small, multiple vacuoles.
10. Correlation reduces mental burden by showing students that knowledge is interconnected. When a student realizes that graphing in math is the exact same skill used to graph motion in physics, they do not have to memorize it as two separate, isolated concepts.

Long Answer Type Questions:

1. Discuss the five main aims of science as outlined in the text, providing a brief explanation for each.
2. Categorize and explain the objectives of teaching mathematics across the Cognitive, Comprehension, Application, Psychomotor, and Affective domains.
3. Explain the process of photosynthesis in detail. Why is this process considered the foundation of almost all food chains on Earth?
4. Provide a comprehensive overview of the human body’s nervous, respiratory, and digestive systems, detailing their primary functions.
5. Define the number system (Natural, Whole, Integers, Prime, Composite) and explain the Commutative, Associative, and Distributive properties of arithmetic using algebraic formulas.
6. Analyze the concept of internal correlation within Science, detailing how subjects like biochemistry, biophysics, and physical chemistry overlap.
7. Elaborate on the significance of teaching via correlation. How can educators successfully correlate mathematics and science with social sciences like history and economics?
8. Discuss the concept of a “Scientific Temper” in the affective domain of learning. Detail its five key components (Intellectual Honesty, Open-mindedness, Skepticism, Curiosity, Objectivity).
9. Explain fractions, decimals, percentages, and ratios. How are these mathematical concepts interrelated when representing parts of a whole?
10. Summarize the role of the human immune system in maintaining health, explicitly detailing how white blood cells, antibodies, and vaccines work together to combat pathogens.

Answers:

1. The five aims of science are:
   • To Understand the Natural World: Comprehending how the universe operates from microscopic to cosmic scales.
   • To Explain Phenomena: Answering “why” and “how” by establishing cause-and-effect relationships.
   • To Predict Future Events: Forecasting occurrences like weather or disease spread based on natural laws.
   • To Control and Harness Nature: Using knowledge for technological and medical advancements to improve human life.
   • To Discover Truth: Constantly refining theories in the pursuit of objective, evidence-based truth.
2. The objectives of teaching mathematics include:
   • Cognitive: Recalling basic facts, formulas, and defining mathematical terms.
   • Comprehension: Explaining concepts in one’s own words and translating word problems into equations.
   • Application: Applying formulas to solve real-world, unfamiliar problems.
   • Psychomotor (Skill): Performing calculations quickly, drawing accurate graphs, and using mathematical instruments properly.
   • Affective: Developing a positive attitude towards math, eliminating “math phobia,” and appreciating logical proofs.
3. Photosynthesis is the chemical process where plants convert light energy into chemical energy. Using the green pigment chlorophyll, plants take in carbon dioxide and water, and using sunlight, produce glucose (food) and oxygen (6CO₂ + 6H₂O + Light Energy-> C₆H₁₂O₆ + 6O₂​). It is the foundation of food chains because plants are the primary producers; herbivores eat plants for energy, and carnivores eat the herbivores, meaning all life relies on the energy plants initially harvest from the sun.
4. Nervous System: The body’s control center (brain, spinal cord, nerves) that processes sensory information and coordinates movement and thought. Respiratory System: Facilitates gas exchange (lungs, trachea), allowing the body to breathe in necessary oxygen and exhale toxic carbon dioxide. Digestive System: Breaks down consumed food (stomach, intestines, liver) into absorbable nutrients required for energy, growth, and cellular repair.
5. The number system includes Natural Numbers (1,2,3…), Whole Numbers (0,1,2…), Integers (negative and positive whole numbers), Prime Numbers (divisible only by 1 and themselves), and Composite Numbers (having more than two factors). The core properties of arithmetic include:
   • Commutative Property: Order doesn’t matter in addition/multiplication (a+b=b+a).
   • Associative Property: Grouping doesn’t change the outcome ((a+b)+c=a+(b+c)).
   • Distributive Property: Multiplying a sum is the same as multiplying individual addends (a(b+c)=ab+ac).
6. Internal correlation within science breaks down the barriers between physics, chemistry, and biology, recognizing that natural phenomena require multidisciplinary approaches to understand. For instance, Biochemistry explores the chemical reactions happening inside living organisms. Biophysics applies the laws of physics to biological systems (e.g., how the human eye focuses light). Physical Chemistry uses physics to understand thermodynamic reactions in chemistry. Understanding a concept like photosynthesis internally correlates biology (plants), chemistry (chemical equations), and physics (light waves).
7. Teaching via correlation helps students apply knowledge holistically to real-world problems rather than viewing subjects in isolation. For example, in Social Sciences, Geography relies heavily on math to calculate time zones and map scales, while utilizing science to understand climate and plate tectonics. In History, the progress of human civilization is directly tied to scientific advancements (like the Industrial Revolution), and historians rely on scientific processes like Carbon-14 dating to calculate the mathematical age of ancient artifacts.
8. “Scientific Temper” is an objective in the affective domain representing a specific, analytical mindset. Its five components are:
   • Intellectual Honesty: Truthfully reporting data, even if it proves a personal hypothesis wrong.
   • Open-mindedness: The willingness to alter long-held beliefs when presented with new, verifiable evidence.
   • Healthy Skepticism: Demanding empirical proof before accepting claims as true.
   • Curiosity: Maintaining a lifelong desire to ask questions and explore the unknown.
   • Objectivity: Removing personal bias, emotion, or prejudice when evaluating data.
9. Fractions represent a part of a whole using a numerator and a denominator (e.g., 1/2). Decimals represent fractions based on powers of 10 using a decimal point (e.g., 0.50). Percentages are a specific type of fraction where the denominator is always 100 (e.g., 50%). Ratios compare the size of one value to another (e.g., 1:1). All these concepts are interrelated ways of expressing the same mathematical relationship; for example, half of a whole can be written interchangeably as 1/2, 0.5, 50%, or a 1:2 ratio.
10. The immune system is the human body’s primary defense mechanism against infectious diseases caused by pathogens (viruses, bacteria). White blood cells act as the body’s internal army, actively seeking out and destroying invading microorganisms. To aid this, the immune system creates antibodies, which are specialized proteins designed to recognize and neutralize specific threats. Vaccines support this system by introducing safe, inactive fragments of a pathogen into the body, training the white blood cells to create antibodies in advance so the body is prepared to fight off the actual disease if exposed.