Zambia Grade 7 Mathematics Syllabus

This outlines the topics covered in the Grade 7 Mathematics syllabus in Zambia. Information is based on available online resources.

Numbers and Notation:

• Roman Numerals: Students learn to identify, convert between Arabic and Roman numerals, and order them by magnitude.
• Number Bases: The syllabus covers base ten numeration and conversions between base 10 and bases 2, 5, and 8. Addition and subtraction in these bases are also included.
• Index Notation: Students learn to describe index notation, convert between index and expanded form, and evaluate numbers in index notation with positive bases and indices.
• Number Sequences: This includes describing and calculating perfect squares and cubes, generating sequences in increasing and decreasing order, and exploring series like the Fibonacci sequence.

Operations:

• Combined Operations: Students perform combined operations using the correct order of operations (BODMAS) and apply commutative, associative, and distributive laws.
• Integers: The syllabus covers understanding positive and negative numbers, representing them on a number line, ordering them, and performing addition and subtraction.
• Fractions, Decimals, and Percentages: Students review addition, subtraction, multiplication, and division of fractions and decimals. They also convert between fractions, decimals, and percentages, and solve problems involving these concepts.
• Approximation: This includes rounding off to the nearest unit and decimal places and solving problems involving rounding.
• Ratio and Proportion: Students review direct proportion and learn about indirect proportion, solving problems involving both. They also draw graphs to illustrate quantities in direct and indirect proportion.

Algebra:

• Linear Equations in One Variable: Students solve linear equations and inequations in one variable and represent solutions on a number line.
• Sets: The syllabus covers describing sets, listing subsets, using set notation (intersection, union, subset), finding the number of subsets using the formula 2ⁿ, and applying set knowledge to real-life problems.

Geometry:

• Plane Shapes: Students identify and draw perpendicular and parallel lines, describe and draw trapeziums, rhombuses, and parallelograms, use a compass to draw circles, identify parts of a circle (center, diameter, radius), and explore line symmetry.
• Solid Shapes: This includes identifying faces, vertices, and edges of cuboids and cubes, drawing nets of cylinders and triangular prisms, and drawing/sketching these shapes.
• Angles: Students learn about different types of angles and use a protractor to measure and draw angles.

Measurement:

• Perimeter and Area: Students calculate the perimeter of various plane shapes, derive and use formulas for the area of triangles, parallelograms, trapeziums, and rhombuses, and calculate the area of circles.
• Volume and Capacity: They describe and measure volume using standard units, relate volume to capacity, derive and use formulas for the volume of cubes and cuboids, and solve related problems.
• Speed, Distance, and Time: Students calculate speed, distance, and time using appropriate formulas.

Statistics and Probability:

• Data Handling: Students collect and present data on stem-leaf plots, bar graphs, and line graphs. They also interpret these graphs.
• Averages: They describe and calculate mean, median, and mode.
• Probability: Students learn about the concept of probability and solve related problems.

Social and Commercial Arithmetic:

• Currency Conversion: Students convert between different currencies and calculate the cost of goods priced in foreign currencies.
• Financial Calculations: This includes calculating cost price, selling price, profit, loss, simple interest, and discounts.

This comprehensive outline provides a detailed overview of the Zambia Grade 7 Mathematics syllabus, encompassing various topics and subtopics to equip learners with essential mathematical knowledge and skills.