Tanzania Standard 7/Form 1 Curriculum - Mathematics

Number Theory

• Number Systems:
• Base Ten Numeration: Students learn about place value, reading, writing, and applying numbers in daily life.
• Natural and Whole Numbers: Students learn to distinguish between natural and whole numbers, and identify even, odd, and prime numbers. They also learn to represent these numbers on a number line.
• Integers: Students learn to identify, add, subtract, multiply, divide, and perform mixed operations on integers.
• Rational Numbers: Students learn to define and perform basic operations on rational numbers.
• Irrational Numbers: Students learn to define irrational numbers.
• Real Numbers: Students learn to define real numbers, find absolute values, and solve related practical problems.
• Factors and Multiples: Students learn to find factors of a number, use factors to find the greatest common factor (GCF), and use factors or multiples to find the lowest common multiple (LCM).
• Fractions: Students learn about proper, improper, and mixed numbers; simplifying fractions; identifying equivalent fractions; arranging fractions in order of size; adding, subtracting, multiplying, and dividing fractions; performing mixed operations on fractions; and solving word problems involving fractions.
• Decimals and Percentages: Students learn the concept of decimals, convert fractions and decimals to percentages and vice-versa, perform operations on decimals, and solve word problems involving decimals and percentages.
• Approximations: Students learn to round off whole numbers and decimals, work with significant figures, and perform approximations in calculations.

Algebra

• Algebraic Operations: Students learn to use symbols to form and simplify algebraic expressions.
• Equations: Students learn to solve equations in one unknown, form and solve equations from word problems, and solve simultaneous linear equations.
• Inequalities: Students learn to solve linear inequalities in one unknown and form linear inequalities from practical situations.

Geometry

• Points, Lines, and Angles: Students learn the concepts of points, lines, line segments, rays, and angles. They also learn to draw and measure angles.
• Constructions: Students learn to construct perpendicular bisectors, angles, parallel lines, and copy given angles. They also learn to identify different types of angles formed by parallel lines and a transversal.
• Polygons and Circles: Students learn about polygons, regions, different types of triangles and quadrilaterals, and circles. They also learn to construct these shapes and describe their properties.

Measurements

• Units of Measurement: Students learn about units of length, mass, time, and capacity, and how to convert between them. They also learn to perform computations involving these units.

Form 1 Mathematics Topics (from FutureSchool)

This section covers additional topics specifically mentioned for Form 1 Mathematics:

• Counting and Numeration: Seven-digit numbers and their place values.
• Multiplication: Multiplying 2, 3, and 4-digit numbers by multiples of 10 and 100, as well as multiplying two 2-digit numbers, 4-digit numbers by 3-digit numbers, and two 4-digit numbers.
• Division/Repeated Subtraction: Repeated subtraction with various divisors and dividends, with and without remainders, including remainders as fractions.
• Word Problems: Solving word problems involving sign words (addition, subtraction, multiplication, division).
• Equations: Problem-solving strategies and number problems.
• Fractions: Comparing, ordering, and operating with fractions, including mixed numbers and improper fractions.
• Percentages: Calculating percentages and fractions of quantities, relating common fractions to percentages, and converting between fractions, decimals, and percentages.
• Decimals: Operations with decimals, including rounding, and solving shopping and measurement problems.
• Length, Area, and Volume: Comparing, converting, and calculating length, area, and volume using various units.
• Capacity and Weight/Mass: Measuring, comparing, and converting between units of capacity and weight/mass.
• Time: Comparing analogue and digital time, 24-hour time, and time zones.
• 2D and 3D Shapes: Properties, classification, and spatial reasoning with 2D and 3D shapes, including tessellations and nets.
• Angles and Lines: Measuring and classifying angles, describing position, mapping, grid references, and compass points.
• Geometric Constructions and Locus: Geometric constructions and locus problems.
• Algebraic Expressions and Equations: Simplifying, expanding, and solving algebraic expressions and equations.
• Inequalities: Solving inequalities.
• Significant Figures and Number Theory: Significant figures, number sets, and properties of real numbers.
• Simultaneous Equations: Solving simultaneous equations.
• Coordinate Geometry: Distance formula, midpoint formula, gradient, and equation of a line.