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IGCSE CORE Mathematics (0580)

Categories: IGCSE
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About Course

IGCSE Core Maths is an exciting journey into the world of numbers, shapes, and logical thinking! Designed for students who want to grasp the fundamental concepts of mathematics, this course covers essential topics like algebra, geometry, statistics, and probability. It focuses on building a solid foundation, enhancing problem-solving skills, and applying mathematical knowledge to real-world scenarios. Whether you’re calculating angles or analyzing data, IGCSE Core Maths equips you with the skills to succeed and enjoy the beauty of mathematics!

What Will You Learn?

  • Secure understanding of Core-level mathematical concepts only
  • Develop confidence with graphs, shapes and measurements
  • Teaches clear step-by-step methods that are easy to follow
  • Improves exam skills and how to show working clearly
  • Supports students in achieving the best possible Core Maths grade

Course Content

Topic 1: Number
In IGCSE Mathematics (0580) Core Number, students work with integers, fractions, decimals and percentages, including converting between them and using the four operations. They learn rounding, estimation, standard form, ratio and proportion, simple interest, and basic speed–distance–time problems. The focus is accurate calculation and applying number skills to real-life situations.

  • Introduction to Number
  • Addition, Subtraction, Multiplication and Division without using a calculator
  • Four operations
  • Four Operations (BIDMAS) worksheet
  • Factors, Multiples and Primes
  • Prime Numbers worksheet
  • Prime, square, cube, rational and irrational numbers worksheet 1
  • Prime Factorisation worksheet
  • Highest common factors and Lowest common multiples worksheet 1
  • Fractions, Decimals and Percentages notes
    05:21
  • Interpreting percentages
  • Fractions, Decimals and Percentages (basics) worksheet
  • Fractions, Decimals and Percentages Worksheet 1
  • Powers, Roots and Fractional Indices
  • Exact Values
  • Standard Form
  • Standard Form Conversions Worksheet
  • Standard form (addition and subtraction) worksheet
  • Standard form (multiplication and division) worksheet
  • Fractional and Percentage Operators
  • Fraction Calculations
  • Fraction Calculations
  • Estimation and Approximation
  • Estimation and Approximation worksheet
  • Rounding and Limits of Accuracy
  • Rounding and Limits of Accuracy worksheet

Number continued (Ratio, Proportion and Rates of Change)
This topic is the "bread and butter" of Core Maths, focusing on how quantities relate and change together. You’ll use ratios to divide costs or ingredients fairly and proportions to scale recipes or currency. Rates of change help you understand speed, density, and interest rates, allowing you to compare "value for money" or predict future trends based on current data.

Topic 2: Algebra and Graphs
Algebra focuses on using symbols to represent variables and solve equations. You’ll master rearranging formulas, linear modeling, and interpreting gradient (m) and intercept (c) in y = mx + c. Graphs visually represent these relationships, helping you identify trends and find intersections.

Topic 3: Coordinate Geometry
Coordinate geometry uses coordinates (x, y) to map data points and find distances. You’ll use it to calculate midpoints for averages or find the distance between two locations using Pythagoras. It’s all about turning physical layouts into measurable, manageable data on a grid.

Topic 4: Geometry
Geometry in Core Maths focuses on practical space and shape. You’ll calculate perimeter, area, and volume for real-world projects like flooring or packaging. It includes using Pythagoras for heights, Trigonometry for angles, and scale drawings to interpret maps or blueprints accurately.

Topic 5: Mensuration
Mensuration in Core Maths is the practical science of measurement, focusing on calculating the physical properties of 2D shapes and 3D objects. You will use formulas to determine perimeter for fencing, area for flooring or seeding, and surface area for packaging materials. It also covers volume and capacity, helping you figure out how much a container holds or the amount of concrete needed for a space. Success in this topic relies on accurately converting units (like changing m^2 to cm^2) and breaking down complex, "compound" shapes into simpler rectangles, triangles, or circles to solve real-world construction and logistics problems.

Topic 6: Trigonometry
Trigonometry in Core Maths is the study of the relationships between the sides and angles of right-angled triangles. You will use the sine, cosine, and tangent ratios (SOH CAH TOA) to find unknown heights or distances that are impossible to measure directly, such as the height of a building or the slope of a ramp. It also involves using angles of elevation and depression to solve navigation or construction problems, ensuring that structures meet safety gradients.

Topic 7: Transformations and Vectors
Transformations describe how shapes move or change size on a coordinate grid, which is essential for scaling models or mapping rotations. Vectors represent a movement with both direction and magnitude, often shown as a column. In Core Maths, you'll use these to describe precise shifts (translations) or to understand how forces and velocities interact in logistics and navigation.

Topic 8: Probability
Probability covers the likelihood of events, ranging from 0 (impossible) to 1 (certain). Key concepts include independent and dependent events, Venn diagrams, and tree diagrams to calculate combined outcomes. You'll master the addition and multiplication rules to solve real-world risks.

Topic 9: Statistics
Statistics in Core Maths focuses on collecting, organizing, representing and interpreting data.

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