New concept mathematics for jss 2 pdf

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New Concept Mathematics for JSS 2

Introduction

Mathematics is a vital subject that plays a significant role in our daily lives. It is a language that helps us to communicate effectively and solve problems. In this book, we will explore new concepts in mathematics that will help you to develop your problem-solving skills and build a strong foundation in mathematics.

Chapter 1: Numbers and Operations

• Introduction to numbers and operations
• Types of numbers: natural, whole, integer, rational, and irrational
• Operations: addition, subtraction, multiplication, and division
• Properties of operations: commutative, associative, and distributive
• Solving linear equations and inequalities

Chapter 2: Algebra

• Introduction to algebra
• Variables and constants
• Linear equations and inequalities
• Graphing linear equations
• Solving quadratic equations

Chapter 3: Geometry

• Introduction to geometry
• Points, lines, and planes
• Angles and measurements
• Properties of shapes: congruent, similar, and right-angled
• Solving problems involving perimeter, area, and volume

Chapter 4: Measurement

• Introduction to measurement
• Units of measurement: length, mass, capacity, and time
• Converting between units
• Solving problems involving measurement

Chapter 5: Data Handling

• Introduction to data handling
• Types of data: qualitative and quantitative
• Collecting and organizing data
• Interpreting and presenting data
• Solving problems involving data

Chapter 6: Statistics

• Introduction to statistics
• Mean, median, and mode
• Range and interquartile range
• Solving problems involving statistics

Chapter 7: Probability

• Introduction to probability
• Types of probability: theoretical and experimental
• Solving problems involving probability

Chapter 8: Graphs and Charts

• Introduction to graphs and charts
• Types of graphs: line, bar, and pie
• Interpreting and presenting data using graphs and charts
• Solving problems involving graphs and charts

Chapter 9: Real-Life Applications

• Introduction to real-life applications of mathematics
• Solving problems involving real-life scenarios
• Developing problem-solving skills

Conclusion

Mathematics is an essential subject that plays a significant role in our daily lives. In this book, we have explored new concepts in mathematics that will help you to develop your problem-solving skills and build a strong foundation in mathematics. We hope that this book has been helpful to you and that you will continue to develop your skills in mathematics.

Assessment Questions

• Chapter 1: Numbers and Operations
  • 1. What is the difference between a rational and irrational number?
  • 2. Solve the equation 2x + 5 = 11
• Chapter 2: Algebra
  • 1. Solve the equation x^2 + 4x - 5 = 0
  • 2. Graph the equation y = 2x - 3
• Chapter 3: Geometry
  • 1. What is the perimeter of a rectangle with a length of 6 cm and a width of 4 cm?
  • 2. What is the area of a triangle with a base of 5 cm and a height of 6 cm?
• Chapter 4: Measurement
  • 1. Convert 25 kg to grams
  • 2. What is the volume of a cube with a side length of 3 cm?
• Chapter 5: Data Handling
  • 1. What is the mean of the following data: 2, 4, 6, 8, 10?
  • 2. Create a bar graph to represent the following data: 5, 10, 15, 20, 25
• Chapter 6: Statistics
  • 1. What is the range of the following data: 2, 4, 6, 8, 10?
  • 2. What is the interquartile range of the following data: 1, 2, 3, 4, 5?
• Chapter 7: Probability
  • 1. What is the probability of rolling a 6 on a fair six-sided die?
  • 2. What is the probability of drawing a king from a deck of cards?
• Chapter 8: Graphs and Charts
  • 1. Create a line graph to represent the following data: 2, 4, 6, 8, 10
  • 2. What is the slope of the line graph created in question 1?
• Chapter 9: Real-Life Applications
  • 1. Solve the problem: A book costs $15. If a 10% discount is applied, how much will you pay for the book?
  • 2. Solve the problem: A car travels 250 km in 5 hours. What is its average speed?

Answers

• Chapter 1: Numbers and Operations
  • 1. A rational number is a number that can be expressed as a ratio of two integers, while an irrational number is a number that cannot be expressed as a ratio of two integers.
  • 2. x = 3
• Chapter 2: Algebra
  • 1. x = -1 or x = 5
  • 2. y = 2x - 3 is a straight line that passes through the point (0, -3) and has a slope of 2.
• Chapter 3: Geometry
  • 1. The perimeter of the rectangle is 20 cm.
  • 2. The area of the triangle is 15 cm^2.
• Chapter 4: Measurement
  • 1. 25 kg is equal to 25,000 grams.
  • 2. The volume of the cube is 27 cm^3.
• Chapter 5: Data Handling
  • 1. The mean of the data is 6.
  • 2. The bar graph represents the data as follows:
    • 5 units
    • 10 units
    • 15 units
    • 20 units
    • 25 units
• Chapter 6: Statistics
  • 1. The range of the data is 8.
  • 2. The interquartile range of the data is 2.
• Chapter 7: Probability
  • 1. The probability of rolling a 6 on a fair six-sided die is 1/6.
  • 2. The probability of drawing a king from a deck of cards is 4/52.
• Chapter 8: Graphs and Charts
  • 1. The line graph represents the data as follows:
    • 2 units
    • 4 units
    • 6 units
    • 8 units
    • 10 units
  • 2. The slope of the line graph is 2.
• Chapter 9: Real-Life Applications
  • 1. You will pay $13.50 for the book.
  • 2. The car's average speed is 50 km/h.