South Sudan Primary 7 Curriculum - Mathematics

This curriculum emphasizes a practical, learner-centered approach to mathematics, aiming to equip students with lifelong skills applicable to real-world situations. The curriculum comprehensively covers the national syllabus and encourages collaborative learning through group work activities.

Unit 1: Numbers

This unit builds upon prior knowledge of squares, square roots, and proportions, introducing new concepts such as cubes, cube roots, percentage increase and decrease, and the conversion of fractions to decimals.

Squares and Square Roots

• Squares: The process of multiplying a number by itself (e.g., a x a = a²). A perfect square is a whole number produced by multiplying a whole number by itself.
• Square Roots: The square root of a positive number is the number that, when multiplied by itself, produces the given number (e.g., √25 = 5). This concept is extended to fractions and decimals.

Cubes of Numbers

The cube of a number is the number raised to the power of 3 (e.g., 2³ = 2 x 2 x 2 = 8). A perfect cube is a number that is the cube of a whole number.

Ratios and Proportions using the Unitary Method

The unitary method is used to solve problems involving ratio and proportion by finding the value of one unit and then scaling up or down.

Percentage Increase and Decrease

Percentage increase or decrease is calculated by finding the difference between the original and new quantities, dividing by the original quantity, and multiplying by 100%.

Unit 2: Measurement

This unit focuses on practical applications of measurement, including circumference, area, surface area, speed, weight, and temperature.

Circumference of Circles

Circumference is the distance around a circle (C = πd or C = 2πr). The relationship between circumference, diameter, and radius is explored.

Relationships between Quadrilaterals

This section examines the properties and relationships between different quadrilaterals, including parallelograms, rhombuses, trapeziums, squares, and rectangles. Area formulas for these shapes are also covered.

Surface Area of Common Solids

Surface area is the total area of the surfaces of a three-dimensional object. Methods for calculating the surface area of cubes, prisms, and cylinders are presented.

Speed

Speed is the rate of change in distance (speed = distance/time). Conversions between m/s and km/h are practiced.

Weight

This section covers units of weight and mass and their conversions. Practical problems involving weight and mass are solved.

Temperature

Temperature is the degree of hotness or coldness. Conversions between Celsius and Fahrenheit are explained and practiced.

Unit 3: Geometry

This unit delves into geometric concepts, including transversal lines, angles, and types of triangles.

Transversals and Angles They Form

A transversal is a line that intersects two or more other lines. The different types of angles formed by a transversal intersecting parallel lines (corresponding, alternate, interior, and exterior angles) are explored.

Types of Triangles

This section covers the properties and construction of equilateral, isosceles, and right-angled triangles. Inscribing and circumscribing triangles and circles are also investigated. Pythagoras' Theorem is introduced and applied to solve problems related to right-angled triangles.

Unit 4: Algebra

This unit builds upon prior knowledge of algebraic notations and substitutions, focusing on simplifying expressions, evaluating expressions, forming equations, and introducing set theory.

Simplify Algebraic Expressions

Simplifying algebraic expressions involves collecting like terms and using the order of operations (BODMAS/PEMDAS).

Evaluating Expressions by Substitution

Substitution involves replacing variables with numerical values to evaluate algebraic expressions.

Forming and Solving Algebraic Equations

This section covers translating word problems into algebraic equations and solving for unknown variables.

Sets

This section introduces set theory, including set notation, set members, equal sets, equivalent sets, union, and intersection. Venn diagrams are used to visualize and solve set problems.

Unit 5: Statistics

This unit covers data analysis, measures of central tendency, statistical graphs, and probability.

Frequency Distribution

Frequency distribution involves organizing data into groups or class intervals and tallying the frequency of each group.

Mean, Median, and Mode

These measures of central tendency are used to describe the average or typical value in a dataset.

Statistical Graphs

This section covers constructing and interpreting bar graphs, pie charts, and travel graphs.

Probability

Probability is the chance of an event occurring. Simple probability problems involving success or failure are introduced.

Unit 6: Business Accounting

This unit introduces basic business concepts and calculations, including profit and loss, discount, simple interest, commission, hire purchase, and bills.

Profit and Loss

Profit is the difference between selling price and buying price when the selling price is higher. Loss is the difference when the buying price is higher.

Discount

Discount is a reduction in the marked price of an item.

Simple Interest

Simple interest is calculated as principal x rate x time / 100.

Commission

Commission is a percentage of sales earned by a salesperson.

Hire Purchase

Hire purchase involves paying a deposit and then paying the rest of the price in installments.

Bills

This section covers preparing and interpreting bills for goods and services.

Student Textbook: Teacher's Guide: